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Results (10 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2808.1.b.a 2808.b 312.b $1$ $1.401$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}-q^{13}+q^{16}+q^{19}+\cdots\)
2808.1.b.b 2808.b 312.b $1$ $1.401$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{13}+q^{16}-q^{19}+\cdots\)
2808.1.b.c 2808.b 312.b $1$ $1.401$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}-q^{13}+q^{16}+q^{19}+\cdots\)
2808.1.b.d 2808.b 312.b $1$ $1.401$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{13}+q^{16}-q^{19}+\cdots\)
936.2.m.e 936.m 104.e $4$ $7.474$ \(\Q(\sqrt{-2}, \sqrt{13})\) \(\Q(\sqrt{-78}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{2}-2q^{4}-2\beta _{2}q^{8}-\beta _{3}q^{13}+\cdots\)
312.3.b.a 312.b 312.b $1$ $8.501$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(-2\) \(-3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}-3q^{3}+4q^{4}+6q^{6}-8q^{8}+\cdots\)
312.3.b.b 312.b 312.b $1$ $8.501$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(-2\) \(3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}+3q^{3}+4q^{4}-6q^{6}-8q^{8}+\cdots\)
312.3.b.c 312.b 312.b $1$ $8.501$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(2\) \(-3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}-3q^{3}+4q^{4}-6q^{6}+8q^{8}+\cdots\)
312.3.b.d 312.b 312.b $1$ $8.501$ \(\Q\) \(\Q(\sqrt{-78}) \) None \(2\) \(3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}+3q^{3}+4q^{4}+6q^{6}+8q^{8}+\cdots\)
3744.2.m.e 3744.m 104.e $4$ $29.896$ \(\Q(\sqrt{-2}, \sqrt{13})\) \(\Q(\sqrt{-78}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{13}-2\beta _{2}q^{19}-5q^{25}-\beta _{3}q^{29}+\cdots\)
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