๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Search

Search newform orbits

859 orbits; showing 601โ€“700 ยท JSON

LabelDimTrace formSignCMCurve
972.2.a.c1qโˆ’q7+O(q8)q - q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})972a1 rank 0
972.2.a.d1q+5q7+O(q8)q + 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})972b1 rank 0
972.2.a.e22q+4q7+O(q8)2q + 4q^{7} + O(q^{8})
972.2.a.f33qโˆ’3q7+O(q8)3q - 3q^{7} + O(q^{8})
972.2.a.g33qโˆ’3q7+O(q8)3q - 3q^{7} + O(q^{8})
973.2.a.a1q+q3โˆ’2q4+q7+O(q8)q + q^{3} - 2q^{4} + q^{7} + O(q^{8})โˆ’1-1973b1 rank 1
973.2.a.b1q+2q2+q3+2q4+4q5+2q6+q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 4q^{5} + 2q^{6} + q^{7} + O(q^{8})+1+1973a1 rank 0
973.2.a.c22q+2q3+4q6+2q7+O(q8)2q + 2q^{3} + 4q^{6} + 2q^{7} + O(q^{8})+1+1
973.2.a.d33q+q2+2q3+q4โˆ’2q5โˆ’4q6+3q7+O(q8)3q + q^{2} + 2q^{3} + q^{4} - 2q^{5} - 4q^{6} + 3q^{7} + O(q^{8})+1+1
973.2.a.e44q+q2+9q4โˆ’4q5โˆ’6q6โˆ’4q7+O(q8)4q + q^{2} + 9q^{4} - 4q^{5} - 6q^{6} - 4q^{7} + O(q^{8})+1+1
973.2.a.f1212q+4q2+6q3+14q4+11q5+7q6+12q7+O(q8)12q + 4q^{2} + 6q^{3} + 14q^{4} + 11q^{5} + 7q^{6} + 12q^{7} + O(q^{8})+1+1
973.2.a.g1515qโˆ’7q2โˆ’12q3+17q4โˆ’19q5+q6+15q7+O(q8)15q - 7q^{2} - 12q^{3} + 17q^{4} - 19q^{5} + q^{6} + 15q^{7} + O(q^{8})โˆ’1-1
973.2.a.h1515q+7q2+7q3+15q4โˆ’q5+9q6โˆ’15q7+O(q8)15q + 7q^{2} + 7q^{3} + 15q^{4} - q^{5} + 9q^{6} - 15q^{7} + O(q^{8})+1+1
973.2.a.i1616qโˆ’9q2โˆ’7q3+15q4+5q5โˆ’q6โˆ’16q7+O(q8)16q - 9q^{2} - 7q^{3} + 15q^{4} + 5q^{5} - q^{6} - 16q^{7} + O(q^{8})โˆ’1-1
974.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’2q5+q6โˆ’4q7+O(q8)q - q^{2} - q^{3} + q^{4} - 2q^{5} + q^{6} - 4q^{7} + O(q^{8})+1+1974b1 rank 0
974.2.a.b1qโˆ’q2+q4+3q5โˆ’4q7+O(q8)q - q^{2} + q^{4} + 3q^{5} - 4q^{7} + O(q^{8})+1+1974a1 rank 0
974.2.a.c1qโˆ’q2+2q3+q4โˆ’4q5โˆ’2q6โˆ’4q7+O(q8)q - q^{2} + 2q^{3} + q^{4} - 4q^{5} - 2q^{6} - 4q^{7} + O(q^{8})+1+1974c1 rank 0
974.2.a.d1qโˆ’q2+3q3+q4โˆ’2q5โˆ’3q6+4q7+O(q8)q - q^{2} + 3q^{3} + q^{4} - 2q^{5} - 3q^{6} + 4q^{7} + O(q^{8})+1+1974d1 rank 0
974.2.a.e1q+q2โˆ’3q3+q4โˆ’3q5โˆ’3q6+2q7+O(q8)q + q^{2} - 3q^{3} + q^{4} - 3q^{5} - 3q^{6} + 2q^{7} + O(q^{8})โˆ’1-1974h1 rank 1
974.2.a.f1q+q2โˆ’3q3+q4+q5โˆ’3q6โˆ’2q7+O(q8)q + q^{2} - 3q^{3} + q^{4} + q^{5} - 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1974g1 rank 1
974.2.a.g1q+q2โˆ’q3+q4โˆ’q5โˆ’q6+2q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + 2q^{7} + O(q^{8})โˆ’1-1974f1 rank 1
974.2.a.h1q+q2โˆ’q3+q4+q5โˆ’q6โˆ’4q7+O(q8)q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1974e1 rank 1
974.2.a.i22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+2q6+4q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} + 4q^{7} + O(q^{8})+1+1
974.2.a.j22q+2q2+2q3+2q4โˆ’6q5+2q6โˆ’4q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
974.2.a.k33qโˆ’3q2โˆ’q3+3q4โˆ’q5+q6+O(q8)3q - 3q^{2} - q^{3} + 3q^{4} - q^{5} + q^{6} + O(q^{8})โˆ’1-1
974.2.a.l33qโˆ’3q2โˆ’q3+3q4+q5+q6โˆ’2q7+O(q8)3q - 3q^{2} - q^{3} + 3q^{4} + q^{5} + q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
974.2.a.m33qโˆ’3q2โˆ’q3+3q4+9q5+q6+2q7+O(q8)3q - 3q^{2} - q^{3} + 3q^{4} + 9q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
974.2.a.n66qโˆ’6q2+q3+6q4โˆ’2q5โˆ’q6+2q7+O(q8)6q - 6q^{2} + q^{3} + 6q^{4} - 2q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1
974.2.a.o1414q+14q2+8q3+14q4+8q5+8q6+12q7+O(q8)14q + 14q^{2} + 8q^{3} + 14q^{4} + 8q^{5} + 8q^{6} + 12q^{7} + O(q^{8})+1+1
975.2.a.a1qโˆ’2q2โˆ’q3+2q4+2q6+q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + 2q^{6} + q^{7} + O(q^{8})975d1 rank 0
975.2.a.b1qโˆ’2q2โˆ’q3+2q4+2q6+3q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + 2q^{6} + 3q^{7} + O(q^{8})975b1 rank 1
975.2.a.c1qโˆ’2q2+q3+2q4โˆ’2q6โˆ’3q7+O(q8)q - 2q^{2} + q^{3} + 2q^{4} - 2q^{6} - 3q^{7} + O(q^{8})975i1 rank 1
975.2.a.d1qโˆ’q2โˆ’q3โˆ’q4+q6+3q7+O(q8)q - q^{2} - q^{3} - q^{4} + q^{6} + 3q^{7} + O(q^{8})975e1 rank 0
975.2.a.e1qโˆ’q2+q3โˆ’q4โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} - q^{7} + O(q^{8})975k1 rank 1
975.2.a.f1qโˆ’q2+q3โˆ’q4โˆ’q6+4q7+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} + 4q^{7} + O(q^{8})975g1 rank 0
975.2.a.g1qโˆ’q3โˆ’2q4+q7+O(q8)q - q^{3} - 2q^{4} + q^{7} + O(q^{8})975f1 rank 1
975.2.a.h1q+q3โˆ’2q4โˆ’q7+O(q8)q + q^{3} - 2q^{4} - q^{7} + O(q^{8})975j1 rank 1
975.2.a.i1q+q2โˆ’q3โˆ’q4โˆ’q6+O(q8)q + q^{2} - q^{3} - q^{4} - q^{6} + O(q^{8})975a1 rank 1
975.2.a.j1q+q2โˆ’q3โˆ’q4โˆ’q6+q7+O(q8)q + q^{2} - q^{3} - q^{4} - q^{6} + q^{7} + O(q^{8})975c1 rank 0
975.2.a.k1q+q2+q3โˆ’q4+q6โˆ’3q7+O(q8)q + q^{2} + q^{3} - q^{4} + q^{6} - 3q^{7} + O(q^{8})975h1 rank 1
975.2.a.l22q+2q2โˆ’2q3+2q4โˆ’2q6+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} + O(q^{8})
975.2.a.m33qโˆ’3q2โˆ’3q3+5q4+3q6+q7+O(q8)3q - 3q^{2} - 3q^{3} + 5q^{4} + 3q^{6} + q^{7} + O(q^{8})
975.2.a.n33qโˆ’q2โˆ’3q3+5q4+q6โˆ’5q7+O(q8)3q - q^{2} - 3q^{3} + 5q^{4} + q^{6} - 5q^{7} + O(q^{8})
975.2.a.o33q+3q3+8q4โˆ’q7+O(q8)3q + 3q^{3} + 8q^{4} - q^{7} + O(q^{8})
975.2.a.p33q+q2+3q3+5q4+q6+5q7+O(q8)3q + q^{2} + 3q^{3} + 5q^{4} + q^{6} + 5q^{7} + O(q^{8})
975.2.a.q33q+3q2+3q3+5q4+3q6โˆ’q7+O(q8)3q + 3q^{2} + 3q^{3} + 5q^{4} + 3q^{6} - q^{7} + O(q^{8})
975.2.a.r55qโˆ’5q3+6q4โˆ’5q7+O(q8)5q - 5q^{3} + 6q^{4} - 5q^{7} + O(q^{8})
975.2.a.s55q+5q3+6q4+5q7+O(q8)5q + 5q^{3} + 6q^{4} + 5q^{7} + O(q^{8})
976.2.a.a1qโˆ’3q5+3q7+O(q8)q - 3q^{5} + 3q^{7} + O(q^{8})976c1 rank 1
976.2.a.b1q+2q3โˆ’3q5โˆ’q7+O(q8)q + 2q^{3} - 3q^{5} - q^{7} + O(q^{8})976b1 rank 0
976.2.a.c1q+2q3+q5+5q7+O(q8)q + 2q^{3} + q^{5} + 5q^{7} + O(q^{8})976a1 rank 0
976.2.a.d22qโˆ’q3โˆ’5q7+O(q8)2q - q^{3} - 5q^{7} + O(q^{8})
976.2.a.e22qโˆ’2q5+2q7+O(q8)2q - 2q^{5} + 2q^{7} + O(q^{8})
976.2.a.f33qโˆ’2q3โˆ’q5+3q7+O(q8)3q - 2q^{3} - q^{5} + 3q^{7} + O(q^{8})
976.2.a.g33q+q3+q5โˆ’4q7+O(q8)3q + q^{3} + q^{5} - 4q^{7} + O(q^{8})
976.2.a.h33q+2q3โˆ’q5+7q7+O(q8)3q + 2q^{3} - q^{5} + 7q^{7} + O(q^{8})
976.2.a.i44qโˆ’q3โˆ’2q5โˆ’7q7+O(q8)4q - q^{3} - 2q^{5} - 7q^{7} + O(q^{8})
976.2.a.j44q+5q5+q7+O(q8)4q + 5q^{5} + q^{7} + O(q^{8})
976.2.a.k66qโˆ’3q3+5q5โˆ’6q7+O(q8)6q - 3q^{3} + 5q^{5} - 6q^{7} + O(q^{8})
977.2.a.a3636qโˆ’7q2โˆ’13q3+27q4โˆ’9q5โˆ’9q6โˆ’48q7+O(q8)36q - 7q^{2} - 13q^{3} + 27q^{4} - 9q^{5} - 9q^{6} - 48q^{7} + O(q^{8})โˆ’1-1
977.2.a.b4545q+4q2+11q3+50q4+7q5+9q6+52q7+O(q8)45q + 4q^{2} + 11q^{3} + 50q^{4} + 7q^{5} + 9q^{6} + 52q^{7} + O(q^{8})+1+1
978.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’4q5+q6+5q7+O(q8)q - q^{2} - q^{3} + q^{4} - 4q^{5} + q^{6} + 5q^{7} + O(q^{8})+1+1978d1 rank 0
978.2.a.b1qโˆ’q2โˆ’q3+q4โˆ’3q5+q6โˆ’3q7+O(q8)q - q^{2} - q^{3} + q^{4} - 3q^{5} + q^{6} - 3q^{7} + O(q^{8})+1+1978c1 rank 0
978.2.a.c1qโˆ’q2โˆ’q3+q4+q6+3q7+O(q8)q - q^{2} - q^{3} + q^{4} + q^{6} + 3q^{7} + O(q^{8})+1+1978a1 rank 0
978.2.a.d1qโˆ’q2โˆ’q3+q4+2q5+q6+2q7+O(q8)q - q^{2} - q^{3} + q^{4} + 2q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1978b1 rank 0
978.2.a.e1qโˆ’q2+q3+q4โˆ’3q5โˆ’q6+q7+O(q8)q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1978e1 rank 1
978.2.a.f1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1978f1 rank 1
978.2.a.g1q+q2+q3+q4โˆ’3q5+q6โˆ’3q7+O(q8)q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-1978g1 rank 1
978.2.a.h1q+q2+q3+q4+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + O(q^{8})+1+1978h1 rank 0
978.2.a.i22qโˆ’2q2+2q3+2q4โˆ’q5โˆ’2q6โˆ’3q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - q^{5} - 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
978.2.a.j22q+2q2โˆ’2q3+2q4+3q5โˆ’2q6+q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} + 3q^{5} - 2q^{6} + q^{7} + O(q^{8})+1+1
978.2.a.k22q+2q2+2q3+2q4+5q5+2q6+5q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 5q^{5} + 2q^{6} + 5q^{7} + O(q^{8})+1+1
978.2.a.l33qโˆ’3q2โˆ’3q3+3q4+2q5+3q6โˆ’6q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 2q^{5} + 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
978.2.a.m33qโˆ’3q2+3q3+3q4+3q5โˆ’3q6โˆ’q7+O(q8)3q - 3q^{2} + 3q^{3} + 3q^{4} + 3q^{5} - 3q^{6} - q^{7} + O(q^{8})+1+1
978.2.a.n33q+3q2+3q3+3q4+q5+3q6โˆ’2q7+O(q8)3q + 3q^{2} + 3q^{3} + 3q^{4} + q^{5} + 3q^{6} - 2q^{7} + O(q^{8})+1+1
978.2.a.o44q+4q2โˆ’4q3+4q4โˆ’3q5โˆ’4q6โˆ’q7+O(q8)4q + 4q^{2} - 4q^{3} + 4q^{4} - 3q^{5} - 4q^{6} - q^{7} + O(q^{8})+1+1
979.2.a.a1q+2q3โˆ’2q4+3q5+O(q8)q + 2q^{3} - 2q^{4} + 3q^{5} + O(q^{8})+1+1979a1 rank 0
979.2.a.b1q+q2+2q3โˆ’q4โˆ’2q5+2q6โˆ’2q7+O(q8)q + q^{2} + 2q^{3} - q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1979b1 rank 1
979.2.a.c1111qโˆ’2q2โˆ’5q3+4q4โˆ’10q5โˆ’10q6+q7+O(q8)11q - 2q^{2} - 5q^{3} + 4q^{4} - 10q^{5} - 10q^{6} + q^{7} + O(q^{8})โˆ’1-1
979.2.a.d1717qโˆ’4q2โˆ’q3+14q4โˆ’14q5โˆ’6q6โˆ’5q7+O(q8)17q - 4q^{2} - q^{3} + 14q^{4} - 14q^{5} - 6q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
979.2.a.e1818q+4q2โˆ’q3+18q4+11q5+10q6+3q7+O(q8)18q + 4q^{2} - q^{3} + 18q^{4} + 11q^{5} + 10q^{6} + 3q^{7} + O(q^{8})+1+1
979.2.a.f2525q+4q2+3q3+34q4+18q5โˆ’4q6โˆ’q7+O(q8)25q + 4q^{2} + 3q^{3} + 34q^{4} + 18q^{5} - 4q^{6} - q^{7} + O(q^{8})+1+1
980.2.a.a1qโˆ’3q3โˆ’q5+O(q8)q - 3q^{3} - q^{5} + O(q^{8})980b1 rank 0
980.2.a.b1qโˆ’3q3+q5+O(q8)q - 3q^{3} + q^{5} + O(q^{8})980i1 rank 0
980.2.a.c1qโˆ’q3โˆ’q5+O(q8)q - q^{3} - q^{5} + O(q^{8})980d1 rank 1
980.2.a.d1qโˆ’q3+q5+O(q8)q - q^{3} + q^{5} + O(q^{8})980e1 rank 0
980.2.a.e1qโˆ’q3+q5+O(q8)q - q^{3} + q^{5} + O(q^{8})980f1 rank 0
980.2.a.f1q+q3โˆ’q5+O(q8)q + q^{3} - q^{5} + O(q^{8})980c1 rank 1
980.2.a.g1q+q3โˆ’q5+O(q8)q + q^{3} - q^{5} + O(q^{8})980a1 rank 0
980.2.a.h1q+2q3+q5+O(q8)q + 2q^{3} + q^{5} + O(q^{8})980g1 rank 0
980.2.a.i1q+3q3+q5+O(q8)q + 3q^{3} + q^{5} + O(q^{8})980h1 rank 0
980.2.a.j22qโˆ’2q3+2q5+O(q8)2q - 2q^{3} + 2q^{5} + O(q^{8})
980.2.a.k22q+2q3โˆ’2q5+O(q8)2q + 2q^{3} - 2q^{5} + O(q^{8})
981.2.a.a1qโˆ’q2โˆ’q4โˆ’3q5+2q7+O(q8)q - q^{2} - q^{4} - 3q^{5} + 2q^{7} + O(q^{8})981b1 rank 1
981.2.a.b1q+q2โˆ’q4+q5โˆ’2q7+O(q8)q + q^{2} - q^{4} + q^{5} - 2q^{7} + O(q^{8})981a1 rank 1
981.2.a.c33q+2q2+6q5โˆ’q7+O(q8)3q + 2q^{2} + 6q^{5} - q^{7} + O(q^{8})
981.2.a.d33q+3q2+5q4+3q5โˆ’2q7+O(q8)3q + 3q^{2} + 5q^{4} + 3q^{5} - 2q^{7} + O(q^{8})
981.2.a.e44q+q2+3q4โˆ’q5โˆ’3q7+O(q8)4q + q^{2} + 3q^{4} - q^{5} - 3q^{7} + O(q^{8})
981.2.a.f66qโˆ’4q2+8q4โˆ’5q5โˆ’2q7+O(q8)6q - 4q^{2} + 8q^{4} - 5q^{5} - 2q^{7} + O(q^{8})
981.2.a.g66qโˆ’8q7+O(q8)6q - 8q^{7} + O(q^{8})

โ† previous ยท next โ†’