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Results (17 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
719.1.b.a 719.b 719.b $15$ $0.359$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-719}) \) None \(-1\) \(-1\) \(-1\) \(-1\) \(q+\beta _{12}q^{2}+\beta _{10}q^{3}+(1-\beta _{7})q^{4}-\beta _{13}q^{5}+\cdots\)
911.1.b.a 911.b 911.b $15$ $0.455$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-911}) \) None \(-1\) \(-1\) \(-1\) \(0\) \(q+\beta _{12}q^{2}-\beta _{9}q^{3}+(1-\beta _{7})q^{4}+\beta _{8}q^{5}+\cdots\)
1119.1.p.a 1119.p 1119.p $30$ $0.558$ \(\Q(\zeta_{62})\) $D_{31}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{62}^{10}q^{3}-\zeta_{62}^{29}q^{4}+(-\zeta_{62}^{13}+\cdots)q^{7}+\cdots\)
1492.1.o.a 1492.o 1492.o $30$ $0.745$ \(\Q(\zeta_{62})\) $D_{31}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q-\zeta_{62}^{7}q^{2}+\zeta_{62}^{14}q^{4}+(-\zeta_{62}^{15}+\cdots)q^{5}+\cdots\)
2471.1.d.a 2471.d 2471.d $15$ $1.233$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-2471}) \) None \(-1\) \(-1\) \(-1\) \(15\) \(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots\)
2471.1.d.b 2471.d 2471.d $15$ $1.233$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-2471}) \) None \(-1\) \(1\) \(1\) \(-15\) \(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots\)
2611.1.bf.a 2611.bf 2611.af $30$ $1.303$ \(\Q(\zeta_{62})\) $D_{31}$ \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-1\) \(q+(-\zeta_{62}^{17}-\zeta_{62}^{19})q^{2}+(-\zeta_{62}^{3}+\cdots)q^{4}+\cdots\)
2735.1.d.a 2735.d 2735.d $15$ $1.365$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-2735}) \) None \(-1\) \(-1\) \(15\) \(-1\) \(q+\beta _{12}q^{2}-\beta _{1}q^{3}+(1-\beta _{7})q^{4}+q^{5}+\cdots\)
2735.1.d.b 2735.d 2735.d $15$ $1.365$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-2735}) \) None \(1\) \(1\) \(-15\) \(1\) \(q-\beta _{12}q^{2}+\beta _{1}q^{3}+(1-\beta _{7})q^{4}-q^{5}+\cdots\)
2883.1.t.a 2883.t 2883.t $30$ $1.439$ \(\Q(\zeta_{62})\) $D_{31}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{62}^{28}q^{3}-\zeta_{62}^{7}q^{4}+(-\zeta_{62}^{23}+\cdots)q^{7}+\cdots\)
2927.1.b.a 2927.b 2927.b $15$ $1.461$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-2927}) \) None \(-1\) \(-1\) \(0\) \(0\) \(q+\beta _{12}q^{2}-\beta _{11}q^{3}+(1-\beta _{7})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
3251.1.b.a 3251.b 3251.b $15$ $1.622$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-3251}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q+\beta _{12}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
3351.1.u.a 3351.u 3351.u $30$ $1.672$ \(\Q(\zeta_{62})\) $D_{31}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q-\zeta_{62}^{25}q^{3}-\zeta_{62}q^{4}+(\zeta_{62}^{2}-\zeta_{62}^{3}+\cdots)q^{7}+\cdots\)
3421.1.bf.a 3421.bf 3421.af $30$ $1.707$ \(\Q(\zeta_{62})\) $D_{31}$ \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(-2\) \(0\) \(q+(\zeta_{62}^{28}+\zeta_{62}^{30})q^{3}+\zeta_{62}^{4}q^{4}+\cdots\)
3727.1.b.a 3727.b 3727.b $15$ $1.860$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-3727}) \) None \(-1\) \(0\) \(0\) \(-1\) \(q+\beta _{12}q^{2}+(1-\beta _{7})q^{4}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
3779.1.b.a 3779.b 3779.b $15$ $1.886$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-3779}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q+\beta _{12}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{2}q^{7}+(1+\cdots)q^{9}+\cdots\)
3909.1.t.a 3909.t 3909.t $30$ $1.951$ \(\Q(\zeta_{62})\) $D_{31}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(29\) \(q+\zeta_{62}^{26}q^{3}+\zeta_{62}^{2}q^{4}+(1+\zeta_{62}^{30}+\cdots)q^{7}+\cdots\)
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