๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 205

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13 orbits; showing 1โ€“13 ยท JSON

LabelDimTrace formSignCMCurve
205.2.a.a1qโˆ’q2โˆ’q4+q5โˆ’4q7+O(q8)q - q^{2} - q^{4} + q^{5} - 4q^{7} + O(q^{8})โˆ’1-1205a1 rank 1
205.2.a.b1qโˆ’q2+2q3โˆ’q4โˆ’q5โˆ’2q6+2q7+O(q8)q - q^{2} + 2q^{3} - q^{4} - q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1205b1 rank 0
205.2.a.c1q+q2+2q3โˆ’q4+q5+2q6+2q7+O(q8)q + q^{2} + 2q^{3} - q^{4} + q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1205c1 rank 0
205.2.a.d22qโˆ’q2โˆ’6q3+3q4+2q5+3q6โˆ’3q7+O(q8)2q - q^{2} - 6q^{3} + 3q^{4} + 2q^{5} + 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
205.2.a.e22qโˆ’q2โˆ’2q3โˆ’q4โˆ’2q5+q6+3q7+O(q8)2q - q^{2} - 2q^{3} - q^{4} - 2q^{5} + q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
205.2.a.f33q+2q3+2q4+3q5โˆ’5q6+q7+O(q8)3q + 2q^{3} + 2q^{4} + 3q^{5} - 5q^{6} + q^{7} + O(q^{8})+1+1
205.2.a.g33q+2q2+2q3+6q4โˆ’3q5+9q6โˆ’9q7+O(q8)3q + 2q^{2} + 2q^{3} + 6q^{4} - 3q^{5} + 9q^{6} - 9q^{7} + O(q^{8})+1+1
205.4.a.a1qโˆ’q2+2q3โˆ’7q4+5q5โˆ’2q6+8q7+O(q8)q - q^{2} + 2q^{3} - 7q^{4} + 5q^{5} - 2q^{6} + 8q^{7} + O(q^{8})โˆ’1-1
205.4.a.b1q+q2+2q3โˆ’7q4โˆ’5q5+2q6+26q7+O(q8)q + q^{2} + 2q^{3} - 7q^{4} - 5q^{5} + 2q^{6} + 26q^{7} + O(q^{8})โˆ’1-1
205.4.a.c88qโˆ’7q2โˆ’22q3+31q4+40q5โˆ’9q6โˆ’60q7+O(q8)8q - 7q^{2} - 22q^{3} + 31q^{4} + 40q^{5} - 9q^{6} - 60q^{7} + O(q^{8})โˆ’1-1
205.4.a.d88q+q2โˆ’12q3+35q4โˆ’40q5โˆ’33q6โˆ’8q7+O(q8)8q + q^{2} - 12q^{3} + 35q^{4} - 40q^{5} - 33q^{6} - 8q^{7} + O(q^{8})โˆ’1-1
205.4.a.e1111q+4q2+22q3+48q4+55q5+25q6+74q7+O(q8)11q + 4q^{2} + 22q^{3} + 48q^{4} + 55q^{5} + 25q^{6} + 74q^{7} + O(q^{8})+1+1
205.4.a.f1111q+6q2+8q3+52q4โˆ’55q5+5q6โˆ’52q7+O(q8)11q + 6q^{2} + 8q^{3} + 52q^{4} - 55q^{5} + 5q^{6} - 52q^{7} + O(q^{8})+1+1