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Results (13 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
788.1.o.a 788.o 788.o $42$ $0.393$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{98}^{43}q^{2}-\zeta_{98}^{37}q^{4}+(-\zeta_{98}+\cdots)q^{5}+\cdots\)
1029.1.t.a 1029.t 1029.t $42$ $0.514$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{98}^{23}q^{3}+\zeta_{98}^{6}q^{4}+\zeta_{98}^{24}q^{7}+\cdots\)
1379.1.bb.a 1379.bb 1379.ab $42$ $0.688$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{98}^{3}+\zeta_{98}^{44})q^{2}+(\zeta_{98}^{6}-\zeta_{98}^{39}+\cdots)q^{4}+\cdots\)
1511.1.b.b 1511.b 1511.b $21$ $0.754$ \(\Q(\zeta_{98})^+\) $D_{49}$ \(\Q(\sqrt{-1511}) \) None \(0\) \(-7\) \(0\) \(0\) \(q-\beta _{19}q^{2}+\beta _{14}q^{3}+(1-\beta _{11})q^{4}+\cdots\)
2059.1.x.a 2059.x 2059.x $42$ $1.028$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-71}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{98}+\zeta_{98}^{6})q^{2}+(-\zeta_{98}^{11}+\zeta_{98}^{24}+\cdots)q^{3}+\cdots\)
2111.1.b.b 2111.b 2111.b $21$ $1.054$ \(\Q(\zeta_{98})^+\) $D_{49}$ \(\Q(\sqrt{-2111}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{19}q^{2}-\beta _{5}q^{3}+(1-\beta _{11})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
2649.1.y.a 2649.y 2649.y $42$ $1.322$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-7\) \(0\) \(0\) \(q+\zeta_{98}^{14}q^{3}-\zeta_{98}^{11}q^{4}+(\zeta_{98}^{44}+\cdots)q^{7}+\cdots\)
2955.1.bp.a 2955.bp 2955.ap $42$ $1.475$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-15}) \) None \(-7\) \(0\) \(0\) \(0\) \(q+(\zeta_{98}^{22}-\zeta_{98}^{35})q^{2}+\zeta_{98}^{38}q^{3}+\cdots\)
2955.1.bp.b 2955.bp 2955.ap $42$ $1.475$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-15}) \) None \(7\) \(0\) \(0\) \(0\) \(q+(-\zeta_{98}^{22}+\zeta_{98}^{35})q^{2}-\zeta_{98}^{38}q^{3}+\cdots\)
3053.1.ba.a 3053.ba 3053.aa $42$ $1.524$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-71}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{98}^{33}-\zeta_{98}^{37})q^{2}+(-\zeta_{98}+\cdots)q^{3}+\cdots\)
3437.1.bf.a 3437.bf 3437.af $42$ $1.715$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-7}) \) None \(-7\) \(0\) \(0\) \(0\) \(q+(-\zeta_{98}^{15}+\zeta_{98}^{42})q^{2}+(\zeta_{98}^{8}+\zeta_{98}^{30}+\cdots)q^{4}+\cdots\)
3743.1.bg.a 3743.bg 3743.ag $42$ $1.868$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{98}^{4}q^{4}+(-\zeta_{98}^{19}-\zeta_{98}^{43})q^{5}+\cdots\)
3928.1.bk.a 3928.bk 3928.ak $42$ $1.960$ \(\Q(\zeta_{98})\) $D_{49}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{98}^{34}q^{2}+(\zeta_{98}^{16}-\zeta_{98}^{37})q^{3}+\cdots\)
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