๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 32

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17 orbits; showing 1โ€“17 ยท JSON

LabelDimTrace formSignCMCurve
32.2.a.a1qโˆ’2q5+O(q8)q - 2q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})32a1 rank 0
32.4.a.a1qโˆ’8q3โˆ’10q5โˆ’16q7+O(q8)q - 8q^{3} - 10q^{5} - 16q^{7} + O(q^{8})
32.4.a.b1q+22q5+O(q8)q + 22q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})
32.4.a.c1q+8q3โˆ’10q5+16q7+O(q8)q + 8q^{3} - 10q^{5} + 16q^{7} + O(q^{8})
32.6.a.a1qโˆ’8q3+14q5โˆ’208q7+O(q8)q - 8q^{3} + 14q^{5} - 208q^{7} + O(q^{8})
32.6.a.b1qโˆ’82q5+O(q8)q - 82q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})
32.6.a.c1q+8q3+14q5+208q7+O(q8)q + 8q^{3} + 14q^{5} + 208q^{7} + O(q^{8})
32.6.a.d22q+92q5+O(q8)2q + 92q^{5} + O(q^{8})
32.8.a.a1qโˆ’58q5+O(q8)q - 58q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})
32.8.a.b22qโˆ’16q3โˆ’180q5+1248q7+O(q8)2q - 16q^{3} - 180q^{5} + 1248q^{7} + O(q^{8})
32.8.a.c22q+140q5+O(q8)2q + 140q^{5} + O(q^{8})
32.8.a.d22q+16q3โˆ’180q5โˆ’1248q7+O(q8)2q + 16q^{3} - 180q^{5} - 1248q^{7} + O(q^{8})
32.10.a.a1q+2398q5+O(q8)q + 2398q^{5} + O(q^{8})Q(โˆ’4)\mathbb{Q}(\sqrt{-4})
32.10.a.b22qโˆ’176q3+1404q5โˆ’2784q7+O(q8)2q - 176q^{3} + 1404q^{5} - 2784q^{7} + O(q^{8})
32.10.a.c22qโˆ’4420q5+O(q8)2q - 4420q^{5} + O(q^{8})
32.10.a.d22qโˆ’68q5+O(q8)2q - 68q^{5} + O(q^{8})
32.10.a.e22q+176q3+1404q5+2784q7+O(q8)2q + 176q^{3} + 1404q^{5} + 2784q^{7} + O(q^{8})