๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 65

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13 orbits; showing 1โ€“13 ยท JSON

LabelDimTrace formSignCMCurve
65.2.a.a1qโˆ’q2โˆ’2q3โˆ’q4โˆ’q5+2q6โˆ’4q7+O(q8)q - q^{2} - 2q^{3} - q^{4} - q^{5} + 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-165a1 rank 1
65.2.a.b22qโˆ’2q2+2q4+2q5+4q6+4q7+O(q8)2q - 2q^{2} + 2q^{4} + 2q^{5} + 4q^{6} + 4q^{7} + O(q^{8})+1+1
65.2.a.c22q+2q3+2q4โˆ’2q5โˆ’6q6+4q7+O(q8)2q + 2q^{3} + 2q^{4} - 2q^{5} - 6q^{6} + 4q^{7} + O(q^{8})+1+1
65.4.a.a1q+5q2+2q3+17q4โˆ’5q5+10q6โˆ’12q7+O(q8)q + 5q^{2} + 2q^{3} + 17q^{4} - 5q^{5} + 10q^{6} - 12q^{7} + O(q^{8})+1+1
65.4.a.b22qโˆ’2q2โˆ’4q3โˆ’2q4+10q5โˆ’8q6โˆ’20q7+O(q8)2q - 2q^{2} - 4q^{3} - 2q^{4} + 10q^{5} - 8q^{6} - 20q^{7} + O(q^{8})โˆ’1-1
65.4.a.c22q+q2โˆ’7q4โˆ’10q5+34q6+58q7+O(q8)2q + q^{2} - 7q^{4} - 10q^{5} + 34q^{6} + 58q^{7} + O(q^{8})+1+1
65.4.a.d22q+4q2โˆ’10q3โˆ’2q4โˆ’10q5โˆ’38q6โˆ’36q7+O(q8)2q + 4q^{2} - 10q^{3} - 2q^{4} - 10q^{5} - 38q^{6} - 36q^{7} + O(q^{8})โˆ’1-1
65.4.a.e55q+8q3+34q4+25q5โˆ’42q6+38q7+O(q8)5q + 8q^{3} + 34q^{4} + 25q^{5} - 42q^{6} + 38q^{7} + O(q^{8})+1+1
65.6.a.a1q+5q2+6q3โˆ’7q4โˆ’25q5+30q6โˆ’244q7+O(q8)q + 5q^{2} + 6q^{3} - 7q^{4} - 25q^{5} + 30q^{6} - 244q^{7} + O(q^{8})โˆ’1-1
65.6.a.b33qโˆ’2q2โˆ’16q3โˆ’10q4+75q5+22q6โˆ’208q7+O(q8)3q - 2q^{2} - 16q^{3} - 10q^{4} + 75q^{5} + 22q^{6} - 208q^{7} + O(q^{8})โˆ’1-1
65.6.a.c44qโˆ’9q2โˆ’4q3+93q4โˆ’100q5โˆ’74q6โˆ’136q7+O(q8)4q - 9q^{2} - 4q^{3} + 93q^{4} - 100q^{5} - 74q^{6} - 136q^{7} + O(q^{8})โˆ’1-1
65.6.a.d66q+38q3+134q4โˆ’150q5+318q6+220q7+O(q8)6q + 38q^{3} + 134q^{4} - 150q^{5} + 318q^{6} + 220q^{7} + O(q^{8})+1+1
65.6.a.e66q+2q2+20q3+134q4+150q5โˆ’52q6+172q7+O(q8)6q + 2q^{2} + 20q^{3} + 134q^{4} + 150q^{5} - 52q^{6} + 172q^{7} + O(q^{8})+1+1