๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 59

Search newform orbits

8 orbits; showing 1โ€“8 ยท JSON

LabelDimTrace formSignCMCurve
59.2.a.a55qโˆ’2q3+8q4+2q5โˆ’4q6+2q7+O(q8)5q - 2q^{3} + 8q^{4} + 2q^{5} - 4q^{6} + 2q^{7} + O(q^{8})+1+1
59.4.a.a22qโˆ’4q2โˆ’2q3+2q4+6q5+4q6โˆ’22q7+O(q8)2q - 4q^{2} - 2q^{3} + 2q^{4} + 6q^{5} + 4q^{6} - 22q^{7} + O(q^{8})โˆ’1-1
59.4.a.b22q+q2โˆ’q3โˆ’7q4โˆ’31q5โˆ’26q6โˆ’8q7+O(q8)2q + q^{2} - q^{3} - 7q^{4} - 31q^{5} - 26q^{6} - 8q^{7} + O(q^{8})โˆ’1-1
59.4.a.c1010q+3q2+3q3+55q4+15q5+26q6+40q7+O(q8)10q + 3q^{2} + 3q^{3} + 55q^{4} + 15q^{5} + 26q^{6} + 40q^{7} + O(q^{8})+1+1
59.6.a.a99qโˆ’9q2+63q4โˆ’72q5โˆ’274q6โˆ’208q7+O(q8)9q - 9q^{2} + 63q^{4} - 72q^{5} - 274q^{6} - 208q^{7} + O(q^{8})โˆ’1-1
59.6.a.b1515q+3q2+18q3+303q4+128q5+14q6+282q7+O(q8)15q + 3q^{2} + 18q^{3} + 303q^{4} + 128q^{5} + 14q^{6} + 282q^{7} + O(q^{8})+1+1
59.8.a.a1414qโˆ’9q2โˆ’54q3+575q4โˆ’430q5โˆ’346q6โˆ’2390q7+O(q8)14q - 9q^{2} - 54q^{3} + 575q^{4} - 430q^{5} - 346q^{6} - 2390q^{7} + O(q^{8})โˆ’1-1
59.8.a.b2020q+15q2+1535q4+570q5+1382q6+1040q7+O(q8)20q + 15q^{2} + 1535q^{4} + 570q^{5} + 1382q^{6} + 1040q^{7} + O(q^{8})+1+1