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Results (26 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 19
7220.2.a.a 7220.a 1.a $1$ $57.652$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-4q^{7}+q^{9}-3q^{11}+\cdots\)
7220.2.a.b 7220.a 1.a $1$ $57.652$ \(\Q\) None \(0\) \(-2\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+2q^{7}+q^{9}-6q^{13}+\cdots\)
7220.2.a.c 7220.a 1.a $1$ $57.652$ \(\Q\) None \(0\) \(-2\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
7220.2.a.d 7220.a 1.a $1$ $57.652$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-3q^{9}-4q^{11}+4q^{13}+\cdots\)
7220.2.a.e 7220.a 1.a $1$ $57.652$ \(\Q\) None \(0\) \(2\) \(-1\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-4q^{7}+q^{9}-3q^{11}+\cdots\)
7220.2.a.f 7220.a 1.a $1$ $57.652$ \(\Q\) None \(0\) \(2\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+2q^{7}+q^{9}-2q^{13}+\cdots\)
7220.2.a.g 7220.a 1.a $1$ $57.652$ \(\Q\) None \(0\) \(2\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
7220.2.a.h 7220.a 1.a $2$ $57.652$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+q^{5}+2q^{7}+(1-2\beta )q^{9}+\cdots\)
7220.2.a.i 7220.a 1.a $2$ $57.652$ \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(-2\) \(-6\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}-3q^{7}+(-2+\beta )q^{9}+\cdots\)
7220.2.a.j 7220.a 1.a $2$ $57.652$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-2\beta )q^{3}-q^{5}+(1-\beta )q^{7}+2q^{9}+\cdots\)
7220.2.a.k 7220.a 1.a $2$ $57.652$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-2\beta )q^{3}-q^{5}+\beta q^{7}+2q^{9}+(-2+\cdots)q^{11}+\cdots\)
7220.2.a.l 7220.a 1.a $2$ $57.652$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-2\) \(-6\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}-3q^{7}+(-2+\beta )q^{9}+\cdots\)
7220.2.a.m 7220.a 1.a $2$ $57.652$ \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(2\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{3}+q^{5}+(-2+2\beta )q^{7}+(3+\cdots)q^{9}+\cdots\)
7220.2.a.n 7220.a 1.a $3$ $57.652$ 3.3.257.1 None \(0\) \(-1\) \(-3\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}-q^{5}+(1+\beta _{2})q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.o 7220.a 1.a $3$ $57.652$ 3.3.257.1 None \(0\) \(1\) \(-3\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}-q^{5}+(1+\beta _{2})q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.p 7220.a 1.a $4$ $57.652$ 4.4.133593.1 None \(0\) \(-1\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}-\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
7220.2.a.q 7220.a 1.a $4$ $57.652$ 4.4.7168.1 None \(0\) \(0\) \(-4\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}-\beta _{3}q^{7}+(3+\beta _{3})q^{9}+\cdots\)
7220.2.a.r 7220.a 1.a $4$ $57.652$ 4.4.133593.1 None \(0\) \(1\) \(4\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}-\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
7220.2.a.s 7220.a 1.a $8$ $57.652$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-1\) \(8\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(1+\beta _{6})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.t 7220.a 1.a $8$ $57.652$ 8.8.\(\cdots\).2 None \(0\) \(0\) \(8\) \(-10\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(-1-\beta _{2}+\beta _{4})q^{7}+\cdots\)
7220.2.a.u 7220.a 1.a $8$ $57.652$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(1\) \(8\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(1+\beta _{6})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.v 7220.a 1.a $9$ $57.652$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-3\) \(-9\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(-\beta _{4}+\beta _{7})q^{7}+(1+\cdots)q^{9}+\cdots\)
7220.2.a.w 7220.a 1.a $9$ $57.652$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-3\) \(9\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(-\beta _{2}-\beta _{5}+\beta _{8})q^{7}+\cdots\)
7220.2.a.x 7220.a 1.a $9$ $57.652$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(3\) \(-9\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+(-\beta _{4}+\beta _{7})q^{7}+(1+\cdots)q^{9}+\cdots\)
7220.2.a.y 7220.a 1.a $9$ $57.652$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(3\) \(9\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(-\beta _{2}-\beta _{5}+\beta _{8})q^{7}+\cdots\)
7220.2.a.z 7220.a 1.a $16$ $57.652$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(-16\) \(10\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+(1-\beta _{2})q^{7}+(1-\beta _{2}+\cdots)q^{9}+\cdots\)
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