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Results (48 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 11 37
8954.2.a.a 8954.a 1.a $1$ $71.498$ \(\Q\) None \(-1\) \(-2\) \(-1\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}+4q^{7}+\cdots\)
8954.2.a.b 8954.a 1.a $1$ $71.498$ \(\Q\) None \(-1\) \(-2\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-4q^{7}-q^{8}+\cdots\)
8954.2.a.c 8954.a 1.a $1$ $71.498$ \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}-3q^{9}+\cdots\)
8954.2.a.d 8954.a 1.a $1$ $71.498$ \(\Q\) None \(-1\) \(2\) \(3\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}+3q^{5}-2q^{6}-q^{8}+\cdots\)
8954.2.a.e 8954.a 1.a $1$ $71.498$ \(\Q\) None \(1\) \(-2\) \(-3\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-3q^{5}-2q^{6}-2q^{7}+\cdots\)
8954.2.a.f 8954.a 1.a $1$ $71.498$ \(\Q\) None \(1\) \(-2\) \(-1\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}-4q^{7}+\cdots\)
8954.2.a.g 8954.a 1.a $1$ $71.498$ \(\Q\) None \(1\) \(-2\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+4q^{7}+q^{8}+\cdots\)
8954.2.a.h 8954.a 1.a $1$ $71.498$ \(\Q\) None \(1\) \(2\) \(3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+3q^{5}+2q^{6}+q^{8}+\cdots\)
8954.2.a.i 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{2}) \) None \(-2\) \(-4\) \(-2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-2+\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
8954.2.a.j 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}+(-1+3\beta )q^{5}+\cdots\)
8954.2.a.k 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-6\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}+(-3+\beta )q^{5}-\beta q^{6}+\cdots\)
8954.2.a.l 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(5\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-2\beta )q^{3}+q^{4}+(3-\beta )q^{5}+\cdots\)
8954.2.a.m 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-6\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\beta q^{6}+\cdots\)
8954.2.a.n 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
8954.2.a.o 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(5\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-2\beta )q^{3}+q^{4}+(3-\beta )q^{5}+\cdots\)
8954.2.a.p 8954.a 1.a $2$ $71.498$ \(\Q(\sqrt{13}) \) None \(2\) \(3\) \(-1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}-\beta q^{5}+(1+\beta )q^{6}+\cdots\)
8954.2.a.q 8954.a 1.a $3$ $71.498$ 3.3.404.1 None \(-3\) \(-2\) \(-7\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-2-\beta _{2})q^{5}+\cdots\)
8954.2.a.r 8954.a 1.a $3$ $71.498$ 3.3.229.1 None \(-3\) \(-2\) \(-1\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
8954.2.a.s 8954.a 1.a $3$ $71.498$ 3.3.229.1 None \(3\) \(-2\) \(-1\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
8954.2.a.t 8954.a 1.a $3$ $71.498$ 3.3.148.1 None \(3\) \(0\) \(-5\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{2}q^{3}+q^{4}+(-2+\beta _{1})q^{5}+\cdots\)
8954.2.a.u 8954.a 1.a $4$ $71.498$ 4.4.11344.1 None \(-4\) \(2\) \(2\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}-\beta _{2}q^{5}+(-1+\cdots)q^{6}+\cdots\)
8954.2.a.v 8954.a 1.a $4$ $71.498$ 4.4.4352.1 None \(-4\) \(4\) \(4\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{2}+\beta _{3})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
8954.2.a.w 8954.a 1.a $4$ $71.498$ 4.4.16448.1 None \(4\) \(-2\) \(2\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{3}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{3}q^{6}+\cdots\)
8954.2.a.x 8954.a 1.a $5$ $71.498$ 5.5.303952.1 None \(-5\) \(0\) \(1\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{4}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{4}q^{6}+\cdots\)
8954.2.a.y 8954.a 1.a $5$ $71.498$ 5.5.592041.1 None \(-5\) \(1\) \(6\) \(-9\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{2}q^{3}+q^{4}+(1+\beta _{1})q^{5}+\beta _{2}q^{6}+\cdots\)
8954.2.a.z 8954.a 1.a $5$ $71.498$ 5.5.702521.1 None \(-5\) \(3\) \(0\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{4})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
8954.2.a.ba 8954.a 1.a $5$ $71.498$ 5.5.303952.1 None \(5\) \(0\) \(1\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{4}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{4}q^{6}+\cdots\)
8954.2.a.bb 8954.a 1.a $5$ $71.498$ 5.5.2186192.1 None \(5\) \(0\) \(6\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
8954.2.a.bc 8954.a 1.a $5$ $71.498$ 5.5.592041.1 None \(5\) \(1\) \(6\) \(9\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{2}q^{3}+q^{4}+(1+\beta _{1})q^{5}-\beta _{2}q^{6}+\cdots\)
8954.2.a.bd 8954.a 1.a $5$ $71.498$ 5.5.702521.1 None \(5\) \(3\) \(0\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{4})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
8954.2.a.be 8954.a 1.a $6$ $71.498$ 6.6.249645904.1 None \(-6\) \(0\) \(1\) \(-8\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-\beta _{1}-\beta _{4})q^{5}+\cdots\)
8954.2.a.bf 8954.a 1.a $6$ $71.498$ 6.6.249645904.1 None \(6\) \(0\) \(1\) \(8\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-\beta _{1}-\beta _{4})q^{5}+\cdots\)
8954.2.a.bg 8954.a 1.a $7$ $71.498$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(-1\) \(-3\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots\)
8954.2.a.bh 8954.a 1.a $7$ $71.498$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(1\) \(-3\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{5}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{5}q^{6}+\cdots\)
8954.2.a.bi 8954.a 1.a $7$ $71.498$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(7\) \(-1\) \(-3\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}-\beta _{1}q^{6}+\cdots\)
8954.2.a.bj 8954.a 1.a $7$ $71.498$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(7\) \(1\) \(-3\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{5}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{5}q^{6}+\cdots\)
8954.2.a.bk 8954.a 1.a $12$ $71.498$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(-7\) \(-4\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+\beta _{5}q^{5}+\cdots\)
8954.2.a.bl 8954.a 1.a $12$ $71.498$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(-7\) \(-4\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+\beta _{5}q^{5}+\cdots\)
8954.2.a.bm 8954.a 1.a $14$ $71.498$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(-4\) \(-6\) \(5\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)
8954.2.a.bn 8954.a 1.a $14$ $71.498$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(0\) \(-10\) \(14\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{5})q^{5}+\cdots\)
8954.2.a.bo 8954.a 1.a $14$ $71.498$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(14\) \(-4\) \(-6\) \(-5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)
8954.2.a.bp 8954.a 1.a $14$ $71.498$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(14\) \(0\) \(-10\) \(-14\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{5})q^{5}+\cdots\)
8954.2.a.bq 8954.a 1.a $16$ $71.498$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-16\) \(0\) \(6\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{10}q^{5}+\beta _{1}q^{6}+\cdots\)
8954.2.a.br 8954.a 1.a $16$ $71.498$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(0\) \(6\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{10}q^{5}-\beta _{1}q^{6}+\cdots\)
8954.2.a.bs 8954.a 1.a $22$ $71.498$ None \(-22\) \(5\) \(8\) \(-7\) $+$ $-$ $+$ $\mathrm{SU}(2)$
8954.2.a.bt 8954.a 1.a $22$ $71.498$ None \(22\) \(5\) \(8\) \(7\) $-$ $+$ $+$ $\mathrm{SU}(2)$
8954.2.a.bu 8954.a 1.a $24$ $71.498$ None \(-24\) \(8\) \(6\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$
8954.2.a.bv 8954.a 1.a $24$ $71.498$ None \(24\) \(8\) \(6\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$
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