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Results (22 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
912.1.b.a 912.b 228.b $1$ $0.455$ \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}+q^{19}+q^{25}-q^{27}+2q^{31}+\cdots\)
912.1.b.b 912.b 228.b $1$ $0.455$ \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}-q^{19}+q^{25}+q^{27}-2q^{31}+\cdots\)
2052.1.b.a 2052.b 228.b $1$ $1.024$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}-q^{11}+q^{16}-q^{19}+\cdots\)
2052.1.b.b 2052.b 228.b $1$ $1.024$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{11}+q^{16}+q^{19}+\cdots\)
2052.1.b.c 2052.b 228.b $1$ $1.024$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}-q^{11}+q^{16}+q^{19}+\cdots\)
2052.1.b.d 2052.b 228.b $1$ $1.024$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{11}+q^{16}-q^{19}+\cdots\)
2508.1.bw.a 2508.bw 2508.aw $4$ $1.252$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-57}) \) None \(-1\) \(-1\) \(0\) \(0\) \(q+\zeta_{10}^{2}q^{2}-\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}-\zeta_{10}^{3}q^{6}+\cdots\)
2508.1.bw.b 2508.bw 2508.aw $4$ $1.252$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-57}) \) None \(-1\) \(1\) \(0\) \(0\) \(q+\zeta_{10}^{2}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}+\zeta_{10}^{3}q^{6}+\cdots\)
2508.1.bw.c 2508.bw 2508.aw $4$ $1.252$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-57}) \) None \(1\) \(-1\) \(0\) \(0\) \(q-\zeta_{10}^{2}q^{2}-\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}+\zeta_{10}^{3}q^{6}+\cdots\)
2508.1.bw.d 2508.bw 2508.aw $4$ $1.252$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-57}) \) None \(1\) \(1\) \(0\) \(0\) \(q-\zeta_{10}^{2}q^{2}+\zeta_{10}q^{3}+\zeta_{10}^{4}q^{4}-\zeta_{10}^{3}q^{6}+\cdots\)
3648.1.b.a 3648.b 228.b $1$ $1.821$ \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}+q^{19}+q^{25}-q^{27}-2q^{31}+\cdots\)
3648.1.b.b 3648.b 228.b $1$ $1.821$ \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}-q^{19}+q^{25}+q^{27}+2q^{31}+\cdots\)
684.2.f.a 684.f 76.d $4$ $5.462$ \(\Q(\sqrt{-2}, \sqrt{19})\) \(\Q(\sqrt{-57}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{1}q^{2}-2q^{4}+2\beta _{1}q^{8}-\beta _{2}q^{11}+\cdots\)
228.3.b.a 228.b 228.b $1$ $6.213$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(-2\) \(-3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}-3q^{3}+4q^{4}+6q^{6}-8q^{8}+\cdots\)
228.3.b.b 228.b 228.b $1$ $6.213$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(-2\) \(3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}+3q^{3}+4q^{4}-6q^{6}-8q^{8}+\cdots\)
228.3.b.c 228.b 228.b $1$ $6.213$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(2\) \(-3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}-3q^{3}+4q^{4}-6q^{6}+8q^{8}+\cdots\)
228.3.b.d 228.b 228.b $1$ $6.213$ \(\Q\) \(\Q(\sqrt{-57}) \) None \(2\) \(3\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}+3q^{3}+4q^{4}+6q^{6}+8q^{8}+\cdots\)
1824.2.f.b 1824.f 57.d $4$ $14.565$ \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-57}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{1}q^{3}-3q^{9}+(\beta _{1}+\beta _{3})q^{11}-\beta _{3}q^{19}+\cdots\)
1824.2.f.c 1824.f 57.d $4$ $14.565$ \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-57}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{1}q^{3}-3q^{9}+(-\beta _{1}-\beta _{3})q^{11}+\cdots\)
2736.2.k.l 2736.k 76.d $4$ $21.847$ \(\Q(\sqrt{-6}, \sqrt{19})\) \(\Q(\sqrt{-57}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{1}q^{11}+\beta _{2}q^{19}+3\beta _{1}q^{23}-5q^{25}+\cdots\)
912.3.b.a 912.b 228.b $2$ $24.850$ \(\Q(\sqrt{57}) \) \(\Q(\sqrt{-57}) \) None \(0\) \(-6\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-3q^{3}+9q^{9}+\beta q^{11}-19q^{19}-3\beta q^{23}+\cdots\)
912.3.b.d 912.b 228.b $2$ $24.850$ \(\Q(\sqrt{57}) \) \(\Q(\sqrt{-57}) \) None \(0\) \(6\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+3q^{3}+9q^{9}-\beta q^{11}+19q^{19}+3\beta q^{23}+\cdots\)
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