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Results (19 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7 23
5635.2.a.a 5635.a 1.a $1$ $44.996$ \(\Q\) None \(-1\) \(-2\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}-q^{4}+q^{5}+2q^{6}+3q^{8}+\cdots\)
5635.2.a.e 5635.a 1.a $1$ $44.996$ \(\Q\) None \(1\) \(-2\) \(-1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}-q^{4}-q^{5}-2q^{6}-3q^{8}+\cdots\)
5635.2.a.h 5635.a 1.a $1$ $44.996$ \(\Q\) None \(2\) \(-2\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-2q^{3}+2q^{4}+q^{5}-4q^{6}+\cdots\)
5635.2.a.k 5635.a 1.a $1$ $44.996$ \(\Q\) None \(2\) \(1\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{9}+\cdots\)
5635.2.a.l 5635.a 1.a $1$ $44.996$ \(\Q\) None \(2\) \(1\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{9}+\cdots\)
5635.2.a.m 5635.a 1.a $1$ $44.996$ \(\Q\) None \(2\) \(2\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{3}+2q^{4}-q^{5}+4q^{6}+\cdots\)
5635.2.a.n 5635.a 1.a $2$ $44.996$ \(\Q(\sqrt{5}) \) None \(-3\) \(2\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+q^{5}+\cdots\)
5635.2.a.r 5635.a 1.a $3$ $44.996$ \(\Q(\zeta_{14})^+\) None \(-2\) \(0\) \(3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(1-2\beta _{1}+\beta _{2})q^{3}+\cdots\)
5635.2.a.u 5635.a 1.a $4$ $44.996$ 4.4.7537.1 None \(1\) \(-4\) \(4\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
5635.2.a.x 5635.a 1.a $5$ $44.996$ 5.5.122821.1 None \(-3\) \(6\) \(-5\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1+\beta _{3})q^{3}+(\beta _{3}+\beta _{4})q^{4}+\cdots\)
5635.2.a.ba 5635.a 1.a $6$ $44.996$ 6.6.169449536.1 None \(0\) \(0\) \(6\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
5635.2.a.bb 5635.a 1.a $8$ $44.996$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(1\) \(-7\) \(-8\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
5635.2.a.bc 5635.a 1.a $12$ $44.996$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-7\) \(-2\) \(-12\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+\beta _{9}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
5635.2.a.bd 5635.a 1.a $12$ $44.996$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-7\) \(2\) \(12\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}-\beta _{9}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
5635.2.a.be 5635.a 1.a $13$ $44.996$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-5\) \(-2\) \(13\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{10}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
5635.2.a.bf 5635.a 1.a $13$ $44.996$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-5\) \(2\) \(-13\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{10}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
5635.2.a.bg 5635.a 1.a $13$ $44.996$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(0\) \(-1\) \(-13\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
5635.2.a.bk 5635.a 1.a $16$ $44.996$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-2\) \(-2\) \(16\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
5635.2.a.bo 5635.a 1.a $28$ $44.996$ None \(-2\) \(-6\) \(-28\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$
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