๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 85

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14 orbits; showing 1โ€“14 ยท JSON

LabelDimTrace formSignCMCurve
85.2.a.a1q+q2+2q3โˆ’q4โˆ’q5+2q6โˆ’2q7+O(q8)q + q^{2} + 2q^{3} - q^{4} - q^{5} + 2q^{6} - 2q^{7} + O(q^{8})+1+185a1 rank 0
85.2.a.b22qโˆ’2q2โˆ’4q3+2q4โˆ’2q5โˆ’4q7+O(q8)2q - 2q^{2} - 4q^{3} + 2q^{4} - 2q^{5} - 4q^{7} + O(q^{8})โˆ’1-1
85.2.a.c22q+2q3+2q4+2q5โˆ’6q6โˆ’2q7+O(q8)2q + 2q^{3} + 2q^{4} + 2q^{5} - 6q^{6} - 2q^{7} + O(q^{8})+1+1
85.4.a.a1q+3q2โˆ’7q3+q4+5q5โˆ’21q6โˆ’22q7+O(q8)q + 3q^{2} - 7q^{3} + q^{4} + 5q^{5} - 21q^{6} - 22q^{7} + O(q^{8})โˆ’1-1
85.4.a.b1q+3q2โˆ’5q3+q4โˆ’5q5โˆ’15q6โˆ’22q7+O(q8)q + 3q^{2} - 5q^{3} + q^{4} - 5q^{5} - 15q^{6} - 22q^{7} + O(q^{8})โˆ’1-1
85.4.a.c1q+3q2+10q3+q4+5q5+30q6โˆ’22q7+O(q8)q + 3q^{2} + 10q^{3} + q^{4} + 5q^{5} + 30q^{6} - 22q^{7} + O(q^{8})+1+1
85.4.a.d22qโˆ’4q2โˆ’2q3โˆ’2q4+10q5+10q6+2q7+O(q8)2q - 4q^{2} - 2q^{3} - 2q^{4} + 10q^{5} + 10q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
85.4.a.e33qโˆ’6q2โˆ’4q3+10q4โˆ’15q5+36q6+8q7+O(q8)3q - 6q^{2} - 4q^{3} + 10q^{4} - 15q^{5} + 36q^{6} + 8q^{7} + O(q^{8})โˆ’1-1
85.4.a.f33q+3q2+9q3โˆ’q4โˆ’15q5+33q6+34q7+O(q8)3q + 3q^{2} + 9q^{3} - q^{4} - 15q^{5} + 33q^{6} + 34q^{7} + O(q^{8})+1+1
85.4.a.g55q+2q2โˆ’q3+34q4+25q5โˆ’5q6+10q7+O(q8)5q + 2q^{2} - q^{3} + 34q^{4} + 25q^{5} - 5q^{6} + 10q^{7} + O(q^{8})+1+1
85.6.a.a55qโˆ’7q2โˆ’36q3+43q4+125q5โˆ’105q6โˆ’204q7+O(q8)5q - 7q^{2} - 36q^{3} + 43q^{4} + 125q^{5} - 105q^{6} - 204q^{7} + O(q^{8})โˆ’1-1
85.6.a.b77q+9q2+18q3+139q4โˆ’175q5โˆ’41q6+50q7+O(q8)7q + 9q^{2} + 18q^{3} + 139q^{4} - 175q^{5} - 41q^{6} + 50q^{7} + O(q^{8})+1+1
85.6.a.c88qโˆ’3q2โˆ’36q3+187q4โˆ’200q5โˆ’113q6โˆ’184q7+O(q8)8q - 3q^{2} - 36q^{3} + 187q^{4} - 200q^{5} - 113q^{6} - 184q^{7} + O(q^{8})โˆ’1-1
85.6.a.d88q+5q2+18q3+187q4+200q5+111q6โˆ’46q7+O(q8)8q + 5q^{2} + 18q^{3} + 187q^{4} + 200q^{5} + 111q^{6} - 46q^{7} + O(q^{8})+1+1