๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 75

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19 orbits; showing 1โ€“19 ยท JSON

LabelDimTrace formSignCMCurve
75.2.a.a1qโˆ’2q2+q3+2q4โˆ’2q6+3q7+O(q8)q - 2q^{2} + q^{3} + 2q^{4} - 2q^{6} + 3q^{7} + O(q^{8})75c1 rank 0
75.2.a.b1q+q2+q3โˆ’q4+q6+O(q8)q + q^{2} + q^{3} - q^{4} + q^{6} + O(q^{8})75b1 rank 0
75.2.a.c1q+2q2โˆ’q3+2q4โˆ’2q6โˆ’3q7+O(q8)q + 2q^{2} - q^{3} + 2q^{4} - 2q^{6} - 3q^{7} + O(q^{8})75a1 rank 0
75.4.a.a1qโˆ’3q2+3q3+q4โˆ’9q6โˆ’20q7+O(q8)q - 3q^{2} + 3q^{3} + q^{4} - 9q^{6} - 20q^{7} + O(q^{8})
75.4.a.b1qโˆ’q2โˆ’3q3โˆ’7q4+3q6+24q7+O(q8)q - q^{2} - 3q^{3} - 7q^{4} + 3q^{6} + 24q^{7} + O(q^{8})
75.4.a.c22qโˆ’3q2โˆ’6q3+9q4+9q6โˆ’6q7+O(q8)2q - 3q^{2} - 6q^{3} + 9q^{4} + 9q^{6} - 6q^{7} + O(q^{8})
75.4.a.d22qโˆ’2q2+6q3+24q4โˆ’6q6+26q7+O(q8)2q - 2q^{2} + 6q^{3} + 24q^{4} - 6q^{6} + 26q^{7} + O(q^{8})
75.4.a.e22q+2q2โˆ’6q3+24q4โˆ’6q6โˆ’26q7+O(q8)2q + 2q^{2} - 6q^{3} + 24q^{4} - 6q^{6} - 26q^{7} + O(q^{8})
75.4.a.f22q+3q2+6q3+9q4+9q6+6q7+O(q8)2q + 3q^{2} + 6q^{3} + 9q^{4} + 9q^{6} + 6q^{7} + O(q^{8})
75.6.a.a1qโˆ’7q2โˆ’9q3+17q4+63q6โˆ’12q7+O(q8)q - 7q^{2} - 9q^{3} + 17q^{4} + 63q^{6} - 12q^{7} + O(q^{8})
75.6.a.b1qโˆ’4q2โˆ’9q3โˆ’16q4+36q6+225q7+O(q8)q - 4q^{2} - 9q^{3} - 16q^{4} + 36q^{6} + 225q^{7} + O(q^{8})
75.6.a.c1q+2q2+9q3โˆ’28q4+18q6+132q7+O(q8)q + 2q^{2} + 9q^{3} - 28q^{4} + 18q^{6} + 132q^{7} + O(q^{8})
75.6.a.d1q+4q2+9q3โˆ’16q4+36q6โˆ’225q7+O(q8)q + 4q^{2} + 9q^{3} - 16q^{4} + 36q^{6} - 225q^{7} + O(q^{8})
75.6.a.e1q+6q2โˆ’9q3+4q4โˆ’54q6+40q7+O(q8)q + 6q^{2} - 9q^{3} + 4q^{4} - 54q^{6} + 40q^{7} + O(q^{8})
75.6.a.f22qโˆ’9q2+18q3+21q4โˆ’81q6โˆ’108q7+O(q8)2q - 9q^{2} + 18q^{3} + 21q^{4} - 81q^{6} - 108q^{7} + O(q^{8})
75.6.a.g22qโˆ’6q2โˆ’18q3+16q4+54q6โˆ’102q7+O(q8)2q - 6q^{2} - 18q^{3} + 16q^{4} + 54q^{6} - 102q^{7} + O(q^{8})
75.6.a.h22q+q2+18q3+141q4+9q6+112q7+O(q8)2q + q^{2} + 18q^{3} + 141q^{4} + 9q^{6} + 112q^{7} + O(q^{8})
75.6.a.i22q+6q2+18q3+16q4+54q6+102q7+O(q8)2q + 6q^{2} + 18q^{3} + 16q^{4} + 54q^{6} + 102q^{7} + O(q^{8})
75.6.a.j22q+9q2โˆ’18q3+21q4โˆ’81q6+108q7+O(q8)2q + 9q^{2} - 18q^{3} + 21q^{4} - 81q^{6} + 108q^{7} + O(q^{8})