๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 669

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9 orbits; showing 1โ€“9 ยท JSON

LabelDimTrace formSignCMCurve
669.2.a.a1q+q2โˆ’q3โˆ’q4+3q5โˆ’q6โˆ’4q7+O(q8)q + q^{2} - q^{3} - q^{4} + 3q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1669a1 rank 1
669.2.a.b22qโˆ’2q2โˆ’2q3+2q4โˆ’6q5+2q6+4q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 6q^{5} + 2q^{6} + 4q^{7} + O(q^{8})โˆ’1-1
669.2.a.c22qโˆ’q2+2q3โˆ’q4+2q5โˆ’q6โˆ’6q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} + 2q^{5} - q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
669.2.a.d22q+q2โˆ’2q3+3q4โˆ’6q5โˆ’q6โˆ’2q7+O(q8)2q + q^{2} - 2q^{3} + 3q^{4} - 6q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
669.2.a.e33qโˆ’2q2โˆ’3q3+4q4+2q6+q7+O(q8)3q - 2q^{2} - 3q^{3} + 4q^{4} + 2q^{6} + q^{7} + O(q^{8})โˆ’1-1
669.2.a.f33qโˆ’q2โˆ’3q3+3q4+2q5+q6โˆ’q7+O(q8)3q - q^{2} - 3q^{3} + 3q^{4} + 2q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1
669.2.a.g33qโˆ’q2+3q3+q4โˆ’5q5โˆ’q6โˆ’4q7+O(q8)3q - q^{2} + 3q^{3} + q^{4} - 5q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
669.2.a.h77q+2q2โˆ’7q3+6q4+3q5โˆ’2q6โˆ’2q7+O(q8)7q + 2q^{2} - 7q^{3} + 6q^{4} + 3q^{5} - 2q^{6} - 2q^{7} + O(q^{8})+1+1
669.2.a.i1414q+14q3+16q4+q5+14q7+O(q8)14q + 14q^{3} + 16q^{4} + q^{5} + 14q^{7} + O(q^{8})+1+1