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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Results (10 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 19
1425.2.a.a 1425.a 1.a $1$ $11.379$ \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
1425.2.a.i 1425.a 1.a $1$ $11.379$ \(\Q\) None \(2\) \(-1\) \(0\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-3q^{7}+\cdots\)
1425.2.a.k 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{6}+\cdots\)
1425.2.a.l 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
1425.2.a.m 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1425.2.a.n 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
1425.2.a.q 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
1425.2.a.r 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1425.2.a.s 1425.a 1.a $3$ $11.379$ 3.3.148.1 None \(-1\) \(3\) \(0\) \(-8\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.y 1425.a 1.a $7$ $11.379$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-3\) \(-7\) \(0\) \(-8\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
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