๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 469

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9 orbits; showing 1โ€“9 ยท JSON

LabelDimTrace formSignCMCurve
469.2.a.a1qโˆ’q2โˆ’3q3โˆ’q4+q5+3q6โˆ’q7+O(q8)q - q^{2} - 3q^{3} - q^{4} + q^{5} + 3q^{6} - q^{7} + O(q^{8})โˆ’1-1469b1 rank 1
469.2.a.b1q+q2+q3โˆ’q4โˆ’3q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} - q^{4} - 3q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1469a1 rank 1
469.2.a.c22q+q2โˆ’q3+5q4โˆ’3q5โˆ’9q6+2q7+O(q8)2q + q^{2} - q^{3} + 5q^{4} - 3q^{5} - 9q^{6} + 2q^{7} + O(q^{8})+1+1
469.2.a.d22q+2q2โˆ’q3โˆ’2q4โˆ’q5โˆ’q6+2q7+O(q8)2q + 2q^{2} - q^{3} - 2q^{4} - q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1
469.2.a.e33qโˆ’3q2โˆ’3q3+3q4+3q5โˆ’3q6+3q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 3q^{5} - 3q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
469.2.a.f33qโˆ’q2โˆ’q3+q4โˆ’9q5+5q6+3q7+O(q8)3q - q^{2} - q^{3} + q^{4} - 9q^{5} + 5q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
469.2.a.g55q+2q2โˆ’2q3+4q4โˆ’4q5โˆ’14q6โˆ’5q7+O(q8)5q + 2q^{2} - 2q^{3} + 4q^{4} - 4q^{5} - 14q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
469.2.a.h77q+q2+6q3+11q4+6q5+10q6+7q7+O(q8)7q + q^{2} + 6q^{3} + 11q^{4} + 6q^{5} + 10q^{6} + 7q^{7} + O(q^{8})+1+1
469.2.a.i99qโˆ’q2+8q3+9q4+8q5โˆ’9q7+O(q8)9q - q^{2} + 8q^{3} + 9q^{4} + 8q^{5} - 9q^{7} + O(q^{8})+1+1