๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 219

Search newform orbits

9 orbits; showing 1โ€“9 ยท JSON

LabelDimTrace formSignCMCurve
219.2.a.a1qโˆ’2q2โˆ’q3+2q4โˆ’q5+2q6+2q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} - q^{5} + 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1219a1 rank 1
219.2.a.b1q+q3โˆ’2q4โˆ’3q5โˆ’4q7+O(q8)q + q^{3} - 2q^{4} - 3q^{5} - 4q^{7} + O(q^{8})โˆ’1-1219b1 rank 1
219.2.a.c1q+q2โˆ’q3โˆ’q4โˆ’4q5โˆ’q6+2q7+O(q8)q + q^{2} - q^{3} - q^{4} - 4q^{5} - q^{6} + 2q^{7} + O(q^{8})โˆ’1-1219c1 rank 1
219.2.a.d44q+q2โˆ’4q3+5q4+9q5โˆ’q6โˆ’4q7+O(q8)4q + q^{2} - 4q^{3} + 5q^{4} + 9q^{5} - q^{6} - 4q^{7} + O(q^{8})+1+1
219.2.a.e66qโˆ’q2+6q3+7q4+5q5โˆ’q6+8q7+O(q8)6q - q^{2} + 6q^{3} + 7q^{4} + 5q^{5} - q^{6} + 8q^{7} + O(q^{8})+1+1
219.4.a.a66qโˆ’2q2+18q3+4q4โˆ’28q5โˆ’6q6โˆ’56q7+O(q8)6q - 2q^{2} + 18q^{3} + 4q^{4} - 28q^{5} - 6q^{6} - 56q^{7} + O(q^{8})โˆ’1-1
219.4.a.b88qโˆ’24q3+24q4โˆ’42q5+28q7+O(q8)8q - 24q^{3} + 24q^{4} - 42q^{5} + 28q^{7} + O(q^{8})โˆ’1-1
219.4.a.c1010q+4q2โˆ’30q3+40q4+28q5โˆ’12q6โˆ’28q7+O(q8)10q + 4q^{2} - 30q^{3} + 40q^{4} + 28q^{5} - 12q^{6} - 28q^{7} + O(q^{8})+1+1
219.4.a.d1212q+2q2+36q3+68q4+42q5+6q6+84q7+O(q8)12q + 2q^{2} + 36q^{3} + 68q^{4} + 42q^{5} + 6q^{6} + 84q^{7} + O(q^{8})+1+1