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Results (29 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 3 5 67
8040.2.a.a 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
8040.2.a.b 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{13}+q^{15}+2q^{17}+\cdots\)
8040.2.a.c 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
8040.2.a.d 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
8040.2.a.e 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
8040.2.a.f 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(-1\) \(1\) \(2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
8040.2.a.g 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(1\) \(-1\) \(-4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
8040.2.a.h 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}+q^{9}+6q^{13}-q^{15}+\cdots\)
8040.2.a.i 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(1\) \(-1\) \(4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
8040.2.a.j 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(1\) \(1\) \(-4\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{13}+q^{15}+\cdots\)
8040.2.a.k 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(1\) \(1\) \(-1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots\)
8040.2.a.l 8040.a 1.a $1$ $64.200$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
8040.2.a.m 8040.a 1.a $2$ $64.200$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(2\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots\)
8040.2.a.n 8040.a 1.a $5$ $64.200$ 5.5.1034533.1 None \(0\) \(-5\) \(-5\) \(-1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-\beta _{1}-\beta _{4})q^{7}+q^{9}+\cdots\)
8040.2.a.o 8040.a 1.a $5$ $64.200$ 5.5.630757.1 None \(0\) \(-5\) \(5\) \(6\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(1-\beta _{3})q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
8040.2.a.p 8040.a 1.a $5$ $64.200$ 5.5.81589.1 None \(0\) \(5\) \(5\) \(-7\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(-1-\beta _{3}-\beta _{4})q^{7}+q^{9}+\cdots\)
8040.2.a.q 8040.a 1.a $6$ $64.200$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(-6\) \(6\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-\beta _{1}q^{7}+q^{9}+(-1-\beta _{4}+\cdots)q^{11}+\cdots\)
8040.2.a.r 8040.a 1.a $6$ $64.200$ 6.6.15350572.1 None \(0\) \(6\) \(-6\) \(-3\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(-1+\beta _{4})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
8040.2.a.s 8040.a 1.a $6$ $64.200$ 6.6.24199421.1 None \(0\) \(6\) \(6\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+\beta _{4}q^{7}+q^{9}+(-\beta _{1}-\beta _{3}+\cdots)q^{11}+\cdots\)
8040.2.a.t 8040.a 1.a $7$ $64.200$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(7\) \(-7\) \(10\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(1+\beta _{3})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
8040.2.a.u 8040.a 1.a $8$ $64.200$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-8\) \(-8\) \(1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-\beta _{4}q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots\)
8040.2.a.v 8040.a 1.a $8$ $64.200$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-8\) \(8\) \(3\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-\beta _{7}q^{7}+q^{9}+(1+\beta _{4}+\cdots)q^{11}+\cdots\)
8040.2.a.w 8040.a 1.a $8$ $64.200$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(8\) \(-8\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+\beta _{4}q^{7}+q^{9}+(1-\beta _{3}+\cdots)q^{11}+\cdots\)
8040.2.a.x 8040.a 1.a $8$ $64.200$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(8\) \(8\) \(5\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(1-\beta _{1})q^{7}+q^{9}-\beta _{4}q^{11}+\cdots\)
8040.2.a.y 8040.a 1.a $9$ $64.200$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(-9\) \(-6\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-1-\beta _{6})q^{7}+q^{9}+(-\beta _{3}+\cdots)q^{11}+\cdots\)
8040.2.a.z 8040.a 1.a $9$ $64.200$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(-9\) \(4\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+\beta _{2}q^{7}+q^{9}-\beta _{4}q^{11}+\cdots\)
8040.2.a.ba 8040.a 1.a $9$ $64.200$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(9\) \(-9\) \(-7\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(-1-\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
8040.2.a.bb 8040.a 1.a $9$ $64.200$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(9\) \(9\) \(5\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(1-\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
8040.2.a.bc 8040.a 1.a $10$ $64.200$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-10\) \(10\) \(1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-\beta _{9}q^{7}+q^{9}+(1-\beta _{7}+\cdots)q^{11}+\cdots\)
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