๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 243

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17 orbits; showing 1โ€“17 ยท JSON

LabelDimTrace formSignCMCurve
243.2.a.a1qโˆ’2q4โˆ’4q7+O(q8)q - 2q^{4} - 4q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})243a1 rank 1
243.2.a.b1qโˆ’2q4+5q7+O(q8)q - 2q^{4} + 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})243b1 rank 0
243.2.a.c22q+2q4โˆ’2q7+O(q8)2q + 2q^{4} - 2q^{7} + O(q^{8})
243.2.a.d22q+8q4+4q7+O(q8)2q + 8q^{4} + 4q^{7} + O(q^{8})
243.2.a.e33qโˆ’3q2+3q4โˆ’6q5โˆ’3q7+O(q8)3q - 3q^{2} + 3q^{4} - 6q^{5} - 3q^{7} + O(q^{8})
243.2.a.f33q+3q2+3q4+6q5โˆ’3q7+O(q8)3q + 3q^{2} + 3q^{4} + 6q^{5} - 3q^{7} + O(q^{8})
243.4.a.a1qโˆ’3q2+q4+3q5โˆ’10q7+O(q8)q - 3q^{2} + q^{4} + 3q^{5} - 10q^{7} + O(q^{8})
243.4.a.b1qโˆ’8q4โˆ’37q7+O(q8)q - 8q^{4} - 37q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})
243.4.a.c1qโˆ’8q4+17q7+O(q8)q - 8q^{4} + 17q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})
243.4.a.d1q+3q2+q4โˆ’3q5โˆ’10q7+O(q8)q + 3q^{2} + q^{4} - 3q^{5} - 10q^{7} + O(q^{8})
243.4.a.e22qโˆ’4q4โˆ’8q7+O(q8)2q - 4q^{4} - 8q^{7} + O(q^{8})
243.4.a.f22q+14q4+46q7+O(q8)2q + 14q^{4} + 46q^{7} + O(q^{8})
243.4.a.g22q+26q4โˆ’50q7+O(q8)2q + 26q^{4} - 50q^{7} + O(q^{8})
243.4.a.h44q+22q4+50q7+O(q8)4q + 22q^{4} + 50q^{7} + O(q^{8})
243.4.a.i44q+28q4โˆ’16q7+O(q8)4q + 28q^{4} - 16q^{7} + O(q^{8})
243.4.a.j99qโˆ’6q2+36q4โˆ’30q5+18q7+O(q8)9q - 6q^{2} + 36q^{4} - 30q^{5} + 18q^{7} + O(q^{8})
243.4.a.k99q+6q2+36q4+30q5+18q7+O(q8)9q + 6q^{2} + 36q^{4} + 30q^{5} + 18q^{7} + O(q^{8})