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Results (38 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
5265.2.a.a 5265.a 1.a $1$ $42.041$ \(\Q\) None \(-2\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}-q^{5}+2q^{10}+4q^{11}+\cdots\)
5265.2.a.b 5265.a 1.a $1$ $42.041$ \(\Q\) None \(-2\) \(0\) \(-1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}-q^{5}+2q^{10}+5q^{11}+\cdots\)
5265.2.a.c 5265.a 1.a $1$ $42.041$ \(\Q\) None \(-2\) \(0\) \(1\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+q^{5}-4q^{7}-2q^{10}+\cdots\)
5265.2.a.d 5265.a 1.a $1$ $42.041$ \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}+q^{10}+\cdots\)
5265.2.a.e 5265.a 1.a $1$ $42.041$ \(\Q\) None \(-1\) \(0\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+2q^{7}+3q^{8}+q^{10}+\cdots\)
5265.2.a.f 5265.a 1.a $1$ $42.041$ \(\Q\) None \(-1\) \(0\) \(1\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{7}+3q^{8}-q^{10}+\cdots\)
5265.2.a.g 5265.a 1.a $1$ $42.041$ \(\Q\) None \(0\) \(0\) \(-1\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}-4q^{7}+q^{13}+4q^{16}+\cdots\)
5265.2.a.h 5265.a 1.a $1$ $42.041$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}+2q^{7}+3q^{11}+q^{13}+\cdots\)
5265.2.a.i 5265.a 1.a $1$ $42.041$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}-4q^{7}+q^{13}+4q^{16}+\cdots\)
5265.2.a.j 5265.a 1.a $1$ $42.041$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}+2q^{7}-3q^{11}+q^{13}+\cdots\)
5265.2.a.k 5265.a 1.a $1$ $42.041$ \(\Q\) None \(1\) \(0\) \(-1\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}+3q^{7}-3q^{8}-q^{10}+\cdots\)
5265.2.a.l 5265.a 1.a $1$ $42.041$ \(\Q\) None \(1\) \(0\) \(1\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots\)
5265.2.a.m 5265.a 1.a $1$ $42.041$ \(\Q\) None \(1\) \(0\) \(1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}+2q^{7}-3q^{8}+q^{10}+\cdots\)
5265.2.a.n 5265.a 1.a $1$ $42.041$ \(\Q\) None \(2\) \(0\) \(-1\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}-4q^{7}-2q^{10}+\cdots\)
5265.2.a.o 5265.a 1.a $1$ $42.041$ \(\Q\) None \(2\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}+2q^{10}-5q^{11}+\cdots\)
5265.2.a.p 5265.a 1.a $1$ $42.041$ \(\Q\) None \(2\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}+2q^{10}-4q^{11}+\cdots\)
5265.2.a.q 5265.a 1.a $2$ $42.041$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}-\beta q^{7}+3q^{8}-q^{10}+\cdots\)
5265.2.a.r 5265.a 1.a $2$ $42.041$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}+\beta q^{7}-3q^{8}-q^{10}+\cdots\)
5265.2.a.s 5265.a 1.a $3$ $42.041$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(3\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
5265.2.a.t 5265.a 1.a $3$ $42.041$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(-3\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
5265.2.a.u 5265.a 1.a $4$ $42.041$ 4.4.16609.1 None \(0\) \(0\) \(-4\) \(-6\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(-2-\beta _{2}+\cdots)q^{7}+\cdots\)
5265.2.a.v 5265.a 1.a $4$ $42.041$ 4.4.16609.1 None \(0\) \(0\) \(4\) \(-6\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(-2-\beta _{2}+\cdots)q^{7}+\cdots\)
5265.2.a.w 5265.a 1.a $6$ $42.041$ 6.6.585163476.1 None \(-2\) \(0\) \(-6\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}-q^{5}+(1+\cdots)q^{7}+\cdots\)
5265.2.a.x 5265.a 1.a $6$ $42.041$ 6.6.585163476.1 None \(2\) \(0\) \(6\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+(1+\cdots)q^{7}+\cdots\)
5265.2.a.y 5265.a 1.a $7$ $42.041$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-2\) \(0\) \(-7\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1+\beta _{4}+\cdots)q^{7}+\cdots\)
5265.2.a.z 5265.a 1.a $7$ $42.041$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(2\) \(0\) \(7\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1+\beta _{4}+\cdots)q^{7}+\cdots\)
5265.2.a.ba 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-3\) \(0\) \(8\) \(-11\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
5265.2.a.bb 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(0\) \(8\) \(-6\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1+\beta _{6}+\cdots)q^{7}+\cdots\)
5265.2.a.bc 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(-8\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots\)
5265.2.a.bd 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(8\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots\)
5265.2.a.be 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(1\) \(0\) \(-8\) \(-6\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1+\beta _{6}+\cdots)q^{7}+\cdots\)
5265.2.a.bf 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(0\) \(-8\) \(-11\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
5265.2.a.bg 5265.a 1.a $13$ $42.041$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-1\) \(0\) \(13\) \(10\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots\)
5265.2.a.bh 5265.a 1.a $13$ $42.041$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(1\) \(0\) \(-13\) \(10\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots\)
5265.2.a.bi 5265.a 1.a $14$ $42.041$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-2\) \(0\) \(-14\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}-\beta _{3}q^{7}+\cdots\)
5265.2.a.bj 5265.a 1.a $14$ $42.041$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(2\) \(0\) \(14\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}-\beta _{3}q^{7}+\cdots\)
5265.2.a.bk 5265.a 1.a $15$ $42.041$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(-1\) \(0\) \(-15\) \(10\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1-\beta _{6}+\cdots)q^{7}+\cdots\)
5265.2.a.bl 5265.a 1.a $15$ $42.041$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(1\) \(0\) \(15\) \(10\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1-\beta _{6}+\cdots)q^{7}+\cdots\)
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