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

Search newform orbits

5951 orbits; showing 2901โ€“3000 ยท JSON

LabelDimTrace formSignCMCurve
620.2.a.a1qโˆ’3q3+q5โˆ’2q7+O(q8)q - 3q^{3} + q^{5} - 2q^{7} + O(q^{8})620c1 rank 1
620.2.a.b1q+q5โˆ’2q7+O(q8)q + q^{5} - 2q^{7} + O(q^{8})620b1 rank 1
620.2.a.c1q+q3โˆ’q5โˆ’4q7+O(q8)q + q^{3} - q^{5} - 4q^{7} + O(q^{8})620a1 rank 1
620.2.a.d33q+3q3โˆ’3q5+O(q8)3q + 3q^{3} - 3q^{5} + O(q^{8})
620.2.a.e44q+3q3+4q5+8q7+O(q8)4q + 3q^{3} + 4q^{5} + 8q^{7} + O(q^{8})
621.2.a.a1qโˆ’q2โˆ’q4โˆ’3q5+4q7+O(q8)q - q^{2} - q^{4} - 3q^{5} + 4q^{7} + O(q^{8})621b1 rank 1
621.2.a.b1q+q2โˆ’q4+3q5+4q7+O(q8)q + q^{2} - q^{4} + 3q^{5} + 4q^{7} + O(q^{8})621a1 rank 0
621.2.a.c22qโˆ’2q2+2q4+2q5โˆ’4q7+O(q8)2q - 2q^{2} + 2q^{4} + 2q^{5} - 4q^{7} + O(q^{8})
621.2.a.d22qโˆ’q2โˆ’q4+q5โˆ’4q7+O(q8)2q - q^{2} - q^{4} + q^{5} - 4q^{7} + O(q^{8})
621.2.a.e22qโˆ’q2+5q4+q5โˆ’q7+O(q8)2q - q^{2} + 5q^{4} + q^{5} - q^{7} + O(q^{8})
621.2.a.f22qโˆ’4q5+2q7+O(q8)2q - 4q^{5} + 2q^{7} + O(q^{8})
621.2.a.g22q+4q5+2q7+O(q8)2q + 4q^{5} + 2q^{7} + O(q^{8})
621.2.a.h22q+q2โˆ’q4โˆ’q5โˆ’4q7+O(q8)2q + q^{2} - q^{4} - q^{5} - 4q^{7} + O(q^{8})
621.2.a.i22q+q2+5q4โˆ’q5โˆ’q7+O(q8)2q + q^{2} + 5q^{4} - q^{5} - q^{7} + O(q^{8})
621.2.a.j22q+2q2+2q4โˆ’2q5โˆ’4q7+O(q8)2q + 2q^{2} + 2q^{4} - 2q^{5} - 4q^{7} + O(q^{8})
621.2.a.k66qโˆ’q2+11q4+q5+4q7+O(q8)6q - q^{2} + 11q^{4} + q^{5} + 4q^{7} + O(q^{8})
621.2.a.l66q+q2+11q4โˆ’q5+4q7+O(q8)6q + q^{2} + 11q^{4} - q^{5} + 4q^{7} + O(q^{8})
622.2.a.a1q+q2+q4โˆ’4q5+q7+O(q8)q + q^{2} + q^{4} - 4q^{5} + q^{7} + O(q^{8})โˆ’1-1622a1 rank 1
622.2.a.b44q+4q2โˆ’5q3+4q4โˆ’3q5โˆ’5q6โˆ’11q7+O(q8)4q + 4q^{2} - 5q^{3} + 4q^{4} - 3q^{5} - 5q^{6} - 11q^{7} + O(q^{8})โˆ’1-1
622.2.a.c55qโˆ’5q2โˆ’q3+5q4โˆ’5q5+q6+O(q8)5q - 5q^{2} - q^{3} + 5q^{4} - 5q^{5} + q^{6} + O(q^{8})โˆ’1-1
622.2.a.d77q+7q2+3q3+7q4+5q5+3q6+4q7+O(q8)7q + 7q^{2} + 3q^{3} + 7q^{4} + 5q^{5} + 3q^{6} + 4q^{7} + O(q^{8})+1+1
622.2.a.e88qโˆ’8q2+3q3+8q4+9q5โˆ’3q6+2q7+O(q8)8q - 8q^{2} + 3q^{3} + 8q^{4} + 9q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1
623.2.a.a1q+q2โˆ’q3โˆ’q4+q5โˆ’q6+q7+O(q8)q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1623a1 rank 1
623.2.a.b22qโˆ’2q2โˆ’2q4โˆ’2q5โˆ’2q7+O(q8)2q - 2q^{2} - 2q^{4} - 2q^{5} - 2q^{7} + O(q^{8})โˆ’1-1
623.2.a.c44q+q2โˆ’2q3+3q4+2q6โˆ’4q7+O(q8)4q + q^{2} - 2q^{3} + 3q^{4} + 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
623.2.a.d55qโˆ’2q2โˆ’3q3+2q4โˆ’5q5โˆ’5q6+5q7+O(q8)5q - 2q^{2} - 3q^{3} + 2q^{4} - 5q^{5} - 5q^{6} + 5q^{7} + O(q^{8})โˆ’1-1
623.2.a.e1616q+6q3+16q4+6q5โˆ’2q6+16q7+O(q8)16q + 6q^{3} + 16q^{4} + 6q^{5} - 2q^{6} + 16q^{7} + O(q^{8})+1+1
623.2.a.f1717q+3q2+4q3+23q4+6q5โˆ’2q6โˆ’17q7+O(q8)17q + 3q^{2} + 4q^{3} + 23q^{4} + 6q^{5} - 2q^{6} - 17q^{7} + O(q^{8})+1+1
624.2.a.a1qโˆ’q3โˆ’4q5+4q7+O(q8)q - q^{3} - 4q^{5} + 4q^{7} + O(q^{8})624b1 rank 1
624.2.a.b1qโˆ’q3โˆ’2q7+O(q8)q - q^{3} - 2q^{7} + O(q^{8})624g1 rank 1
624.2.a.c1qโˆ’q3+O(q8)q - q^{3} + O(q^{8})624a1 rank 1
624.2.a.d1qโˆ’q3+2q5+O(q8)q - q^{3} + 2q^{5} + O(q^{8})624c1 rank 0
624.2.a.e1q+q3โˆ’4q5+2q7+O(q8)q + q^{3} - 4q^{5} + 2q^{7} + O(q^{8})624j1 rank 0
624.2.a.f1q+q3โˆ’2q5โˆ’4q7+O(q8)q + q^{3} - 2q^{5} - 4q^{7} + O(q^{8})624f1 rank 1
624.2.a.g1q+q3+4q7+O(q8)q + q^{3} + 4q^{7} + O(q^{8})624d1 rank 0
624.2.a.h1q+q3+2q5โˆ’4q7+O(q8)q + q^{3} + 2q^{5} - 4q^{7} + O(q^{8})624i1 rank 0
624.2.a.i1q+q3+2q5+4q7+O(q8)q + q^{3} + 2q^{5} + 4q^{7} + O(q^{8})624h1 rank 0
624.2.a.j1q+q3+4q5+O(q8)q + q^{3} + 4q^{5} + O(q^{8})624e1 rank 0
624.2.a.k22qโˆ’2q3+O(q8)2q - 2q^{3} + O(q^{8})
625.2.a.a22qโˆ’q2โˆ’3q3โˆ’q4+4q6โˆ’q7+O(q8)2q - q^{2} - 3q^{3} - q^{4} + 4q^{6} - q^{7} + O(q^{8})
625.2.a.b22qโˆ’q2+2q3โˆ’q4โˆ’q6โˆ’q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} - q^{6} - q^{7} + O(q^{8})
625.2.a.c22q+q2โˆ’2q3โˆ’q4โˆ’q6+q7+O(q8)2q + q^{2} - 2q^{3} - q^{4} - q^{6} + q^{7} + O(q^{8})
625.2.a.d22q+q2+3q3โˆ’q4+4q6+q7+O(q8)2q + q^{2} + 3q^{3} - q^{4} + 4q^{6} + q^{7} + O(q^{8})
625.2.a.e88qโˆ’5q2โˆ’5q3+11q4โˆ’4q6โˆ’10q7+O(q8)8q - 5q^{2} - 5q^{3} + 11q^{4} - 4q^{6} - 10q^{7} + O(q^{8})
625.2.a.f88q+6q4+6q6+O(q8)8q + 6q^{4} + 6q^{6} + O(q^{8})
625.2.a.g88q+5q2+5q3+11q4โˆ’4q6+10q7+O(q8)8q + 5q^{2} + 5q^{3} + 11q^{4} - 4q^{6} + 10q^{7} + O(q^{8})
626.2.a.a1qโˆ’q2+q4+O(q8)q - q^{2} + q^{4} + O(q^{8})โˆ’1-1626a1 rank 1
626.2.a.b1qโˆ’q2+q3+q4+2q5โˆ’q6+5q7+O(q8)q - q^{2} + q^{3} + q^{4} + 2q^{5} - q^{6} + 5q^{7} + O(q^{8})+1+1626b1 rank 0
626.2.a.c22qโˆ’2q2+2q4โˆ’5q7+O(q8)2q - 2q^{2} + 2q^{4} - 5q^{7} + O(q^{8})โˆ’1-1
626.2.a.d22q+2q2โˆ’2q3+2q4โˆ’2q5โˆ’2q6โˆ’3q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} - 2q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
626.2.a.e99qโˆ’9q2+q3+9q4โˆ’2q5โˆ’q6+6q7+O(q8)9q - 9q^{2} + q^{3} + 9q^{4} - 2q^{5} - q^{6} + 6q^{7} + O(q^{8})+1+1
626.2.a.f1212q+12q2+4q3+12q4+6q5+4q6+5q7+O(q8)12q + 12q^{2} + 4q^{3} + 12q^{4} + 6q^{5} + 4q^{6} + 5q^{7} + O(q^{8})+1+1
627.2.a.a1q+q3โˆ’2q4+2q7+O(q8)q + q^{3} - 2q^{4} + 2q^{7} + O(q^{8})+1+1627b1 rank 0
627.2.a.b1q+q3โˆ’2q4+4q5+2q7+O(q8)q + q^{3} - 2q^{4} + 4q^{5} + 2q^{7} + O(q^{8})+1+1627a1 rank 0
627.2.a.c33qโˆ’2q2โˆ’3q3+4q4+q5+2q6โˆ’5q7+O(q8)3q - 2q^{2} - 3q^{3} + 4q^{4} + q^{5} + 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
627.2.a.d33qโˆ’2q2+3q3โˆ’7q5โˆ’2q6+q7+O(q8)3q - 2q^{2} + 3q^{3} - 7q^{5} - 2q^{6} + q^{7} + O(q^{8})โˆ’1-1
627.2.a.e33qโˆ’2q2+3q3+4q4โˆ’3q5โˆ’2q6โˆ’7q7+O(q8)3q - 2q^{2} + 3q^{3} + 4q^{4} - 3q^{5} - 2q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
627.2.a.f33q+2q2โˆ’3q3โˆ’3q5โˆ’2q6โˆ’q7+O(q8)3q + 2q^{2} - 3q^{3} - 3q^{5} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
627.2.a.g33q+2q2+3q3+4q4+5q5+2q6โˆ’q7+O(q8)3q + 2q^{2} + 3q^{3} + 4q^{4} + 5q^{5} + 2q^{6} - q^{7} + O(q^{8})+1+1
627.2.a.h44q+q2+4q3+7q4+3q5+q6โˆ’5q7+O(q8)4q + q^{2} + 4q^{3} + 7q^{4} + 3q^{5} + q^{6} - 5q^{7} + O(q^{8})+1+1
627.2.a.i55q+q2โˆ’5q3+5q4+3q5โˆ’q6โˆ’q7+O(q8)5q + q^{2} - 5q^{3} + 5q^{4} + 3q^{5} - q^{6} - q^{7} + O(q^{8})+1+1
627.2.a.j55q+q2โˆ’5q3+9q4+7q5โˆ’q6+7q7+O(q8)5q + q^{2} - 5q^{3} + 9q^{4} + 7q^{5} - q^{6} + 7q^{7} + O(q^{8})+1+1
628.2.a.a1q+2q3+4q5โˆ’q7+O(q8)q + 2q^{3} + 4q^{5} - q^{7} + O(q^{8})628a1 rank 0
628.2.a.b55qโˆ’q3โˆ’5q5โˆ’5q7+O(q8)5q - q^{3} - 5q^{5} - 5q^{7} + O(q^{8})
628.2.a.c77qโˆ’3q3โˆ’q5+2q7+O(q8)7q - 3q^{3} - q^{5} + 2q^{7} + O(q^{8})
629.2.a.a1qโˆ’q2โˆ’q4+3q5โˆ’q7+O(q8)q - q^{2} - q^{4} + 3q^{5} - q^{7} + O(q^{8})โˆ’1-1629d1 rank 1
629.2.a.b1qโˆ’3q3โˆ’2q4+3q7+O(q8)q - 3q^{3} - 2q^{4} + 3q^{7} + O(q^{8})โˆ’1-1629c1 rank 1
629.2.a.c1q+q2โˆ’q4+q5โˆ’q7+O(q8)q + q^{2} - q^{4} + q^{5} - q^{7} + O(q^{8})โˆ’1-1629a1 rank 1
629.2.a.d1q+2q2+3q3+2q4โˆ’2q5+6q6+q7+O(q8)q + 2q^{2} + 3q^{3} + 2q^{4} - 2q^{5} + 6q^{6} + q^{7} + O(q^{8})+1+1629b1 rank 0
629.2.a.e55q+4q4โˆ’3q5โˆ’5q6โˆ’12q7+O(q8)5q + 4q^{4} - 3q^{5} - 5q^{6} - 12q^{7} + O(q^{8})โˆ’1-1
629.2.a.f88qโˆ’3q3+4q4โˆ’5q5โˆ’7q6โˆ’5q7+O(q8)8q - 3q^{3} + 4q^{4} - 5q^{5} - 7q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
629.2.a.g1515q+2q2+22q4+4q5โˆ’11q6+q7+O(q8)15q + 2q^{2} + 22q^{4} + 4q^{5} - 11q^{6} + q^{7} + O(q^{8})+1+1
629.2.a.h1717qโˆ’q2+7q3+27q4+4q5+5q6+14q7+O(q8)17q - q^{2} + 7q^{3} + 27q^{4} + 4q^{5} + 5q^{6} + 14q^{7} + O(q^{8})+1+1
630.2.a.a1qโˆ’q2+q4โˆ’q5โˆ’q7+O(q8)q - q^{2} + q^{4} - q^{5} - q^{7} + O(q^{8})630c1 rank 0
630.2.a.b1qโˆ’q2+q4โˆ’q5+q7+O(q8)q - q^{2} + q^{4} - q^{5} + q^{7} + O(q^{8})630d1 rank 1
630.2.a.c1qโˆ’q2+q4โˆ’q5+q7+O(q8)q - q^{2} + q^{4} - q^{5} + q^{7} + O(q^{8})630a1 rank 0
630.2.a.d1qโˆ’q2+q4+q5โˆ’q7+O(q8)q - q^{2} + q^{4} + q^{5} - q^{7} + O(q^{8})630e1 rank 1
630.2.a.e1qโˆ’q2+q4+q5โˆ’q7+O(q8)q - q^{2} + q^{4} + q^{5} - q^{7} + O(q^{8})630b1 rank 0
630.2.a.f1qโˆ’q2+q4+q5+q7+O(q8)q - q^{2} + q^{4} + q^{5} + q^{7} + O(q^{8})630f1 rank 0
630.2.a.g1q+q2+q4โˆ’q5โˆ’q7+O(q8)q + q^{2} + q^{4} - q^{5} - q^{7} + O(q^{8})630g1 rank 0
630.2.a.h1q+q2+q4โˆ’q5+q7+O(q8)q + q^{2} + q^{4} - q^{5} + q^{7} + O(q^{8})630i1 rank 0
630.2.a.i1q+q2+q4+q5โˆ’q7+O(q8)q + q^{2} + q^{4} + q^{5} - q^{7} + O(q^{8})630j1 rank 0
630.2.a.j1q+q2+q4+q5+q7+O(q8)q + q^{2} + q^{4} + q^{5} + q^{7} + O(q^{8})630h1 rank 0
631.2.a.a2020qโˆ’8q2โˆ’4q3+14q4โˆ’17q5โˆ’11q6โˆ’6q7+O(q8)20q - 8q^{2} - 4q^{3} + 14q^{4} - 17q^{5} - 11q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
631.2.a.b3232q+7q2+2q3+33q4+17q5+11q6โˆ’2q7+O(q8)32q + 7q^{2} + 2q^{3} + 33q^{4} + 17q^{5} + 11q^{6} - 2q^{7} + O(q^{8})+1+1
632.2.a.a1q+q3โˆ’q5โˆ’5q7+O(q8)q + q^{3} - q^{5} - 5q^{7} + O(q^{8})632a1 rank 1
632.2.a.b22qโˆ’2q3โˆ’q5โˆ’4q7+O(q8)2q - 2q^{3} - q^{5} - 4q^{7} + O(q^{8})
632.2.a.c22qโˆ’2q3+4q5โˆ’4q7+O(q8)2q - 2q^{3} + 4q^{5} - 4q^{7} + O(q^{8})
632.2.a.d33qโˆ’q3โˆ’6q5+q7+O(q8)3q - q^{3} - 6q^{5} + q^{7} + O(q^{8})
632.2.a.e66q+2q3+9q5+6q7+O(q8)6q + 2q^{3} + 9q^{5} + 6q^{7} + O(q^{8})
632.2.a.f66q+4q3โˆ’5q5+6q7+O(q8)6q + 4q^{3} - 5q^{5} + 6q^{7} + O(q^{8})
633.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’3q5+q6+2q7+O(q8)q - q^{2} - q^{3} - q^{4} - 3q^{5} + q^{6} + 2q^{7} + O(q^{8})โˆ’1-1633a1 rank 1
633.2.a.b44qโˆ’2q2+4q3โˆ’3q5โˆ’2q6โˆ’11q7+O(q8)4q - 2q^{2} + 4q^{3} - 3q^{5} - 2q^{6} - 11q^{7} + O(q^{8})โˆ’1-1
633.2.a.c88qโˆ’3q2โˆ’8q3+9q4โˆ’2q5+3q6โˆ’11q7+O(q8)8q - 3q^{2} - 8q^{3} + 9q^{4} - 2q^{5} + 3q^{6} - 11q^{7} + O(q^{8})โˆ’1-1
633.2.a.d88q+4q2โˆ’8q3+8q4+3q5โˆ’4q6+7q7+O(q8)8q + 4q^{2} - 8q^{3} + 8q^{4} + 3q^{5} - 4q^{6} + 7q^{7} + O(q^{8})+1+1
633.2.a.e1414q+3q2+14q3+23q4โˆ’q5+3q6+13q7+O(q8)14q + 3q^{2} + 14q^{3} + 23q^{4} - q^{5} + 3q^{6} + 13q^{7} + O(q^{8})+1+1
634.2.a.a44q+4q2โˆ’3q3+4q4โˆ’7q5โˆ’3q6โˆ’7q7+O(q8)4q + 4q^{2} - 3q^{3} + 4q^{4} - 7q^{5} - 3q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
634.2.a.b66qโˆ’6q2โˆ’4q3+6q4โˆ’7q5+4q6+3q7+O(q8)6q - 6q^{2} - 4q^{3} + 6q^{4} - 7q^{5} + 4q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
634.2.a.c77qโˆ’7q2+5q3+7q4+4q5โˆ’5q6โˆ’3q7+O(q8)7q - 7q^{2} + 5q^{3} + 7q^{4} + 4q^{5} - 5q^{6} - 3q^{7} + O(q^{8})+1+1
634.2.a.d99q+9q2+2q3+9q4+10q5+2q6+3q7+O(q8)9q + 9q^{2} + 2q^{3} + 9q^{4} + 10q^{5} + 2q^{6} + 3q^{7} + O(q^{8})+1+1

โ† previous ยท next โ†’