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Results (18 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7 11
1617.4.a.a 1617.a 1.a $1$ $95.406$ \(\Q\) None 33.4.a.a \(-5\) \(-3\) \(14\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{2}-3q^{3}+17q^{4}+14q^{5}+15q^{6}+\cdots\)
1617.4.a.b 1617.a 1.a $1$ $95.406$ \(\Q\) None 231.4.a.a \(-3\) \(3\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{2}+3q^{3}+q^{4}+4q^{5}-9q^{6}+\cdots\)
1617.4.a.c 1617.a 1.a $1$ $95.406$ \(\Q\) None 231.4.a.b \(-2\) \(-3\) \(-1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}-4q^{4}-q^{5}+6q^{6}+\cdots\)
1617.4.a.d 1617.a 1.a $1$ $95.406$ \(\Q\) None 33.4.a.b \(-1\) \(3\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}-7q^{4}+4q^{5}-3q^{6}+\cdots\)
1617.4.a.e 1617.a 1.a $1$ $95.406$ \(\Q\) None 231.4.a.c \(2\) \(3\) \(-11\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+3q^{3}-4q^{4}-11q^{5}+6q^{6}+\cdots\)
1617.4.a.f 1617.a 1.a $1$ $95.406$ \(\Q\) None 231.4.a.d \(3\) \(-3\) \(14\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{2}-3q^{3}+q^{4}+14q^{5}-9q^{6}+\cdots\)
1617.4.a.g 1617.a 1.a $1$ $95.406$ \(\Q\) None 231.4.a.e \(5\) \(-3\) \(6\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+5q^{2}-3q^{3}+17q^{4}+6q^{5}-15q^{6}+\cdots\)
1617.4.a.h 1617.a 1.a $2$ $95.406$ \(\Q(\sqrt{17}) \) None 231.4.a.g \(-3\) \(-6\) \(-25\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}-3q^{3}+(-3+3\beta )q^{4}+\cdots\)
1617.4.a.l 1617.a 1.a $2$ $95.406$ \(\Q(\sqrt{37}) \) None 231.4.a.i \(3\) \(-6\) \(-2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}-3q^{3}+(2+3\beta )q^{4}+(1+\cdots)q^{5}+\cdots\)
1617.4.a.n 1617.a 1.a $5$ $95.406$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None 231.4.a.k \(-1\) \(15\) \(-21\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1617.4.a.r 1617.a 1.a $7$ $95.406$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None 1617.4.a.q \(-4\) \(21\) \(-20\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+3q^{3}+(5-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1617.4.a.s 1617.a 1.a $7$ $95.406$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None 1617.4.a.s \(0\) \(-21\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
1617.4.a.u 1617.a 1.a $8$ $95.406$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None 231.4.i.a \(-4\) \(-24\) \(20\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1617.4.a.v 1617.a 1.a $8$ $95.406$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None 231.4.i.a \(-4\) \(24\) \(-20\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+3q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1617.4.a.w 1617.a 1.a $10$ $95.406$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None 231.4.i.c \(-4\) \(-30\) \(20\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1617.4.a.x 1617.a 1.a $10$ $95.406$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None 231.4.i.c \(-4\) \(30\) \(-20\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1617.4.a.bd 1617.a 1.a $16$ $95.406$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None 1617.4.a.bc \(-4\) \(48\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+3q^{3}+(5+\beta _{2})q^{4}+(\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots\)
1617.4.a.be 1617.a 1.a $16$ $95.406$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None 1617.4.a.be \(4\) \(-48\) \(-40\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
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