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Results (30 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 7
2205.4.a.a 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-5\) \(0\) \(-5\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-5q^{2}+17q^{4}-5q^{5}-45q^{8}+5^{2}q^{10}+\cdots\)
2205.4.a.b 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-5\) \(0\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-5q^{2}+17q^{4}+5q^{5}-45q^{8}-5^{2}q^{10}+\cdots\)
2205.4.a.e 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-3\) \(0\) \(-5\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{2}+q^{4}-5q^{5}+21q^{8}+15q^{10}+\cdots\)
2205.4.a.g 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-3\) \(0\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{2}+q^{4}+5q^{5}+21q^{8}-15q^{10}+\cdots\)
2205.4.a.l 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-1\) \(0\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-7q^{4}+5q^{5}+15q^{8}-5q^{10}+\cdots\)
2205.4.a.m 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-1\) \(0\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-7q^{4}+5q^{5}+15q^{8}-5q^{10}+\cdots\)
2205.4.a.n 2205.a 1.a $1$ $130.099$ \(\Q\) None \(-1\) \(0\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-7q^{4}+5q^{5}+15q^{8}-5q^{10}+\cdots\)
2205.4.a.o 2205.a 1.a $1$ $130.099$ \(\Q\) None \(0\) \(0\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-8q^{4}+5q^{5}-42q^{11}-20q^{13}+\cdots\)
2205.4.a.p 2205.a 1.a $1$ $130.099$ \(\Q\) None \(3\) \(0\) \(-5\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{2}+q^{4}-5q^{5}-21q^{8}-15q^{10}+\cdots\)
2205.4.a.s 2205.a 1.a $1$ $130.099$ \(\Q\) None \(4\) \(0\) \(5\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{2}+8q^{4}+5q^{5}+20q^{10}+10q^{11}+\cdots\)
2205.4.a.x 2205.a 1.a $2$ $130.099$ \(\Q(\sqrt{11}) \) None \(-2\) \(0\) \(10\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(4-2\beta )q^{4}+5q^{5}+\cdots\)
2205.4.a.z 2205.a 1.a $2$ $130.099$ \(\Q(\sqrt{65}) \) None \(-1\) \(0\) \(10\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(8+\beta )q^{4}+5q^{5}+(-2^{4}-\beta )q^{8}+\cdots\)
2205.4.a.ba 2205.a 1.a $2$ $130.099$ \(\Q(\sqrt{17}) \) None \(1\) \(0\) \(-10\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-4+\beta )q^{4}-5q^{5}+(4-11\beta )q^{8}+\cdots\)
2205.4.a.bb 2205.a 1.a $2$ $130.099$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(10\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+5q^{5}+(9+\cdots)q^{8}+\cdots\)
2205.4.a.bf 2205.a 1.a $2$ $130.099$ \(\Q(\sqrt{2}) \) None \(6\) \(0\) \(-10\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(3+\beta )q^{2}+(3+6\beta )q^{4}-5q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.4.a.bg 2205.a 1.a $2$ $130.099$ \(\Q(\sqrt{2}) \) None \(6\) \(0\) \(10\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(3+\beta )q^{2}+(3+6\beta )q^{4}+5q^{5}+(-3+\cdots)q^{8}+\cdots\)
2205.4.a.bi 2205.a 1.a $3$ $130.099$ 3.3.4892.1 None \(-3\) \(0\) \(-15\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
2205.4.a.bj 2205.a 1.a $3$ $130.099$ 3.3.4892.1 None \(-3\) \(0\) \(15\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)
2205.4.a.bl 2205.a 1.a $3$ $130.099$ 3.3.22952.1 None \(2\) \(0\) \(-15\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(5-2\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
2205.4.a.bm 2205.a 1.a $3$ $130.099$ 3.3.14360.1 None \(3\) \(0\) \(15\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(4-\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)
2205.4.a.bo 2205.a 1.a $4$ $130.099$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-1\) \(0\) \(20\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(10+\beta _{2})q^{4}+5q^{5}+(-7+\cdots)q^{8}+\cdots\)
2205.4.a.bp 2205.a 1.a $4$ $130.099$ 4.4.51264.1 None \(6\) \(0\) \(-20\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(2-\beta _{1}-\beta _{2})q^{2}+(6-\beta _{1}-\beta _{2}+2\beta _{3})q^{4}+\cdots\)
2205.4.a.br 2205.a 1.a $5$ $130.099$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-3\) \(0\) \(-25\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(5+\beta _{2})q^{4}-5q^{5}+\cdots\)
2205.4.a.bs 2205.a 1.a $5$ $130.099$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-3\) \(0\) \(25\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(5+\beta _{2})q^{4}+5q^{5}+\cdots\)
2205.4.a.bx 2205.a 1.a $6$ $130.099$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(0\) \(-30\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}-5q^{5}+(4\beta _{1}+\cdots)q^{8}+\cdots\)
2205.4.a.bz 2205.a 1.a $6$ $130.099$ 6.6.1163891200.1 None \(2\) \(0\) \(-30\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+3\beta _{1}+2\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
2205.4.a.cb 2205.a 1.a $8$ $130.099$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-4\) \(0\) \(-40\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(6-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2205.4.a.cc 2205.a 1.a $8$ $130.099$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-4\) \(0\) \(40\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(6-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2205.4.a.cd 2205.a 1.a $8$ $130.099$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\) \(0\) \(-40\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(6+\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
2205.4.a.ci 2205.a 1.a $12$ $130.099$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(60\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+5q^{5}+(-\beta _{7}+\cdots)q^{8}+\cdots\)
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