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Results (17 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 13 31
6045.2.a.b 6045.a 1.a $1$ $48.270$ \(\Q\) None \(-2\) \(-1\) \(1\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}+2q^{7}+\cdots\)
6045.2.a.c 6045.a 1.a $1$ $48.270$ \(\Q\) None \(-2\) \(1\) \(1\) \(-3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}-3q^{7}+\cdots\)
6045.2.a.e 6045.a 1.a $1$ $48.270$ \(\Q\) None \(0\) \(1\) \(-1\) \(-5\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}-5q^{7}+q^{9}+q^{11}+\cdots\)
6045.2.a.i 6045.a 1.a $1$ $48.270$ \(\Q\) None \(1\) \(1\) \(-1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
6045.2.a.k 6045.a 1.a $1$ $48.270$ \(\Q\) None \(2\) \(1\) \(-1\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+2q^{7}+\cdots\)
6045.2.a.m 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{17}) \) None \(-4\) \(2\) \(-2\) \(-3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+(-2+\cdots)q^{7}+\cdots\)
6045.2.a.n 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}+(-1+2\beta )q^{7}+\cdots\)
6045.2.a.p 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+q^{5}+\beta q^{6}+(1+\beta )q^{7}+\cdots\)
6045.2.a.s 6045.a 1.a $5$ $48.270$ 5.5.230224.1 None \(0\) \(5\) \(5\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+q^{3}+(1+\beta _{4})q^{4}+q^{5}+\beta _{2}q^{6}+\cdots\)
6045.2.a.t 6045.a 1.a $9$ $48.270$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-6\) \(9\) \(9\) \(-12\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6045.2.a.u 6045.a 1.a $9$ $48.270$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-3\) \(9\) \(9\) \(-5\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
6045.2.a.w 6045.a 1.a $11$ $48.270$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(2\) \(-11\) \(-11\) \(4\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.x 6045.a 1.a $12$ $48.270$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-4\) \(12\) \(-12\) \(3\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.y 6045.a 1.a $12$ $48.270$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-3\) \(12\) \(-12\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
6045.2.a.z 6045.a 1.a $12$ $48.270$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-12\) \(-12\) \(-7\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.ba 6045.a 1.a $13$ $48.270$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-1\) \(-13\) \(13\) \(-11\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6045.2.a.be 6045.a 1.a $15$ $48.270$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-1\) \(-15\) \(15\) \(-16\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
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