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Results (35 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1648.1.c.a 1648.c 103.b $2$ $0.822$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(1\) \(q+(1-\beta )q^{7}+q^{9}-\beta q^{13}+(-1+\beta )q^{17}+\cdots\)
1648.1.j.a 1648.j 1648.j $2$ $0.822$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-q^{4}-iq^{8}-iq^{9}+(-1+i+\cdots)q^{13}+\cdots\)
1648.1.j.b 1648.j 1648.j $8$ $0.822$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{20}^{3}q^{2}+\zeta_{20}^{6}q^{4}+(-\zeta_{20}^{4}-\zeta_{20}^{6}+\cdots)q^{7}+\cdots\)
1648.1.u.a 1648.u 1648.u $4$ $0.822$ \(\Q(\zeta_{12})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+(-1-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
1648.1.u.b 1648.u 1648.u $4$ $0.822$ \(\Q(\zeta_{12})\) None None \(2\) \(4\) \(2\) \(0\) \(q-\zeta_{12}^{4}q^{2}+(1+\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
1648.2.a.a 1648.a 1.a $1$ $13.159$ \(\Q\) None None \(0\) \(-2\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+4q^{5}+q^{9}+6q^{11}-2q^{13}+\cdots\)
1648.2.a.b 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta q^{5}+(3-2\beta )q^{7}-2q^{9}+(3+\cdots)q^{11}+\cdots\)
1648.2.a.c 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{29}) \) None None \(0\) \(-1\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-\beta )q^{5}+(2-\beta )q^{7}+(4+\beta )q^{9}+\cdots\)
1648.2.a.d 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-5\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(1-2\beta )q^{3}+(-2-\beta )q^{5}+(-1+2\beta )q^{7}+\cdots\)
1648.2.a.e 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{21}) \) None None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{7}-3q^{9}+(2-2\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
1648.2.a.f 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta )q^{5}+q^{7}-2q^{9}+(2+\cdots)q^{11}+\cdots\)
1648.2.a.g 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-2\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+2\beta q^{3}+(-2+2\beta )q^{5}+(2-\beta )q^{7}+\cdots\)
1648.2.a.h 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{21}) \) None None \(0\) \(2\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{5}+(1-2\beta )q^{7}-2q^{9}+(1+\cdots)q^{11}+\cdots\)
1648.2.a.i 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{13}) \) None None \(0\) \(3\) \(-5\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(-2-\beta )q^{5}+(-3+\beta )q^{7}+\cdots\)
1648.2.a.j 1648.a 1.a $2$ $13.159$ \(\Q(\sqrt{5}) \) None None \(0\) \(4\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+(2-2\beta )q^{5}+(1-\beta )q^{7}+q^{9}+\cdots\)
1648.2.a.k 1648.a 1.a $4$ $13.159$ 4.4.5744.1 None None \(0\) \(-2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+\beta _{3}q^{5}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1648.2.a.l 1648.a 1.a $4$ $13.159$ 4.4.2225.1 None None \(0\) \(-2\) \(3\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{3})q^{3}+(2-\beta _{1}+2\beta _{2})q^{5}+\cdots\)
1648.2.a.m 1648.a 1.a $6$ $13.159$ 6.6.6999257.1 None None \(0\) \(0\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{3}+\beta _{5}q^{5}+(\beta _{2}+\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots\)
1648.2.a.n 1648.a 1.a $9$ $13.159$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-4\) \(-5\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{4}q^{3}+(-1-\beta _{6})q^{5}+(-1-\beta _{8})q^{7}+\cdots\)
1648.2.a.o 1648.a 1.a $9$ $13.159$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(0\) \(7\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(1+\beta _{6})q^{5}-\beta _{8}q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)
1648.2.g.a 1648.g 412.d $16$ $13.159$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{10}q^{3}+\beta _{9}q^{5}-\beta _{5}q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
1648.2.g.b 1648.g 412.d $36$ $13.159$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1648.4.a.a 1648.a 1.a $2$ $97.235$ \(\Q(\sqrt{101}) \) None None \(0\) \(-2\) \(15\) \(20\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(7+\beta )q^{5}+(9+2\beta )q^{7}-26q^{9}+\cdots\)
1648.4.a.b 1648.a 1.a $2$ $97.235$ \(\Q(\sqrt{13}) \) None None \(0\) \(0\) \(-14\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+(2-4\beta )q^{3}+(-6-2\beta )q^{5}+(-1+\cdots)q^{7}+\cdots\)
1648.4.a.c 1648.a 1.a $4$ $97.235$ 4.4.66081.1 None None \(0\) \(12\) \(-13\) \(25\) $+$ $\mathrm{SU}(2)$ \(q+(3-\beta _{1}-\beta _{3})q^{3}+(-3-3\beta _{1}+2\beta _{2}+\cdots)q^{5}+\cdots\)
1648.4.a.d 1648.a 1.a $9$ $97.235$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-6\) \(17\) \(-45\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{3}+(2+\beta _{1}+\beta _{2})q^{5}+\cdots\)
1648.4.a.e 1648.a 1.a $9$ $97.235$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-2\) \(1\) \(7\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(2-\beta _{1}+\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots\)
1648.4.a.f 1648.a 1.a $10$ $97.235$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(8\) \(-30\) \(33\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{5})q^{3}+(-3+\beta _{2}-\beta _{4}+\beta _{5}+\cdots)q^{5}+\cdots\)
1648.4.a.g 1648.a 1.a $13$ $97.235$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None \(0\) \(-8\) \(6\) \(-30\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+\beta _{6}q^{5}+(-2-\beta _{6}+\cdots)q^{7}+\cdots\)
1648.4.a.h 1648.a 1.a $13$ $97.235$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None \(0\) \(10\) \(-24\) \(26\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-2-\beta _{9})q^{5}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
1648.4.a.i 1648.a 1.a $15$ $97.235$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(-10\) \(30\) \(-23\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{9})q^{3}+(2+\beta _{8})q^{5}+(-2+\cdots)q^{7}+\cdots\)
1648.4.a.j 1648.a 1.a $16$ $97.235$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(6\) \(19\) \(37\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1+\beta _{2})q^{5}+(2+\beta _{12})q^{7}+\cdots\)
1648.4.a.k 1648.a 1.a $17$ $97.235$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None \(0\) \(2\) \(-27\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-2-\beta _{11})q^{5}+(-\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
1648.4.a.l 1648.a 1.a $21$ $97.235$ None None \(0\) \(-12\) \(-11\) \(-33\) $-$ $\mathrm{SU}(2)$
1648.4.a.m 1648.a 1.a $22$ $97.235$ None None \(0\) \(2\) \(33\) \(-9\) $+$ $\mathrm{SU}(2)$
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