๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 642

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8 orbits; showing 1โ€“8 ยท JSON

LabelDimTrace formSignCMCurve
642.2.a.a1qโˆ’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+1642a1 rank 0
642.2.a.b1qโˆ’q2+q3+q4โˆ’3q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1642b1 rank 0
642.2.a.c1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’2q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1642c1 rank 1
642.2.a.d22qโˆ’2q2+2q3+2q4โˆ’q5โˆ’2q6โˆ’7q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - q^{5} - 2q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
642.2.a.e22qโˆ’2q2+2q3+2q4+4q5โˆ’2q6+4q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} - 2q^{6} + 4q^{7} + O(q^{8})+1+1
642.2.a.f33qโˆ’3q2โˆ’3q3+3q4+3q6โˆ’3q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
642.2.a.g44q+4q2โˆ’4q3+4q4+5q5โˆ’4q6+3q7+O(q8)4q + 4q^{2} - 4q^{3} + 4q^{4} + 5q^{5} - 4q^{6} + 3q^{7} + O(q^{8})+1+1
642.2.a.h55q+5q2+5q3+5q4+5q6+5q7+O(q8)5q + 5q^{2} + 5q^{3} + 5q^{4} + 5q^{6} + 5q^{7} + O(q^{8})+1+1