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Results (5 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5 19
5700.2.a.a 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}+4q^{13}-6q^{17}+\cdots\)
5700.2.a.c 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots\)
5700.2.a.e 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{13}+q^{19}-q^{21}+\cdots\)
5700.2.a.h 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
5700.2.a.t 5700.a 1.a $2$ $45.515$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(0\) \(-1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
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