๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 175

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16 orbits; showing 1โ€“16 ยท JSON

LabelDimTrace formSignCMCurve
175.2.a.a1qโˆ’2q2โˆ’q3+2q4+2q6+q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + 2q^{6} + q^{7} + O(q^{8})175a1 rank 1
175.2.a.b1qโˆ’q3โˆ’2q4โˆ’q7+O(q8)q - q^{3} - 2q^{4} - q^{7} + O(q^{8})175b1 rank 1
175.2.a.c1q+2q2+q3+2q4+2q6โˆ’q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 2q^{6} - q^{7} + O(q^{8})175c1 rank 0
175.2.a.d22qโˆ’q2+2q3โˆ’q4+4q6โˆ’2q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} + 4q^{6} - 2q^{7} + O(q^{8})
175.2.a.e22q+q2โˆ’2q3โˆ’q4+4q6+2q7+O(q8)2q + q^{2} - 2q^{3} - q^{4} + 4q^{6} + 2q^{7} + O(q^{8})
175.2.a.f22q+q2+q3+5q4โˆ’8q6+2q7+O(q8)2q + q^{2} + q^{3} + 5q^{4} - 8q^{6} + 2q^{7} + O(q^{8})
175.4.a.a1qโˆ’q2+8q3โˆ’7q4โˆ’8q6โˆ’7q7+O(q8)q - q^{2} + 8q^{3} - 7q^{4} - 8q^{6} - 7q^{7} + O(q^{8})
175.4.a.b1q+q2+2q3โˆ’7q4+2q6+7q7+O(q8)q + q^{2} + 2q^{3} - 7q^{4} + 2q^{6} + 7q^{7} + O(q^{8})
175.4.a.c22qโˆ’8q2โˆ’2q3+20q4โˆ’8q6+14q7+O(q8)2q - 8q^{2} - 2q^{3} + 20q^{4} - 8q^{6} + 14q^{7} + O(q^{8})
175.4.a.d22qโˆ’q2+5q3+5q4โˆ’23q6โˆ’14q7+O(q8)2q - q^{2} + 5q^{3} + 5q^{4} - 23q^{6} - 14q^{7} + O(q^{8})
175.4.a.e22q+q2โˆ’5q3+5q4โˆ’23q6+14q7+O(q8)2q + q^{2} - 5q^{3} + 5q^{4} - 23q^{6} + 14q^{7} + O(q^{8})
175.4.a.f33q+3q2โˆ’2q3+13q4+24q6โˆ’21q7+O(q8)3q + 3q^{2} - 2q^{3} + 13q^{4} + 24q^{6} - 21q^{7} + O(q^{8})
175.4.a.g44qโˆ’4q2+3q3+36q4+q6โˆ’28q7+O(q8)4q - 4q^{2} + 3q^{3} + 36q^{4} + q^{6} - 28q^{7} + O(q^{8})
175.4.a.h44q+4q2โˆ’3q3+36q4+q6+28q7+O(q8)4q + 4q^{2} - 3q^{3} + 36q^{4} + q^{6} + 28q^{7} + O(q^{8})
175.4.a.i55qโˆ’4q2โˆ’10q3+18q4+6q6โˆ’35q7+O(q8)5q - 4q^{2} - 10q^{3} + 18q^{4} + 6q^{6} - 35q^{7} + O(q^{8})
175.4.a.j55q+4q2+10q3+18q4+6q6+35q7+O(q8)5q + 4q^{2} + 10q^{3} + 18q^{4} + 6q^{6} + 35q^{7} + O(q^{8})