Learn more

Refine search


Results (20 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 41
8036.2.a.a 8036.a 1.a $1$ $64.168$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}-5q^{11}-2q^{13}+\cdots\)
8036.2.a.b 8036.a 1.a $1$ $64.168$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}+3q^{11}+2q^{13}+\cdots\)
8036.2.a.c 8036.a 1.a $1$ $64.168$ \(\Q\) None \(0\) \(-1\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-2q^{9}+3q^{11}+4q^{13}+\cdots\)
8036.2.a.d 8036.a 1.a $1$ $64.168$ \(\Q\) None \(0\) \(1\) \(-3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}-2q^{9}+3q^{11}-4q^{13}+\cdots\)
8036.2.a.e 8036.a 1.a $1$ $64.168$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}-5q^{11}+2q^{13}+\cdots\)
8036.2.a.f 8036.a 1.a $1$ $64.168$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+3q^{11}-2q^{13}+\cdots\)
8036.2.a.g 8036.a 1.a $2$ $64.168$ \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(1+\beta )q^{5}+(1+3\beta )q^{9}+\cdots\)
8036.2.a.h 8036.a 1.a $3$ $64.168$ \(\Q(\zeta_{18})^+\) None \(0\) \(3\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(2\beta _{1}-2\beta _{2})q^{5}+(-2\beta _{1}+\cdots)q^{9}+\cdots\)
8036.2.a.i 8036.a 1.a $4$ $64.168$ 4.4.25808.1 None \(0\) \(-2\) \(-4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(\beta _{1}-\beta _{2})q^{3}+(-2+\beta _{2}-\beta _{3})q^{5}+\cdots\)
8036.2.a.j 8036.a 1.a $5$ $64.168$ 5.5.1935333.1 None \(0\) \(-2\) \(-3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
8036.2.a.k 8036.a 1.a $5$ $64.168$ 5.5.287349.1 None \(0\) \(-2\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(1-\beta _{2}+\beta _{3})q^{5}+(\beta _{2}+\beta _{4})q^{9}+\cdots\)
8036.2.a.l 8036.a 1.a $5$ $64.168$ 5.5.470117.1 None \(0\) \(2\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
8036.2.a.m 8036.a 1.a $8$ $64.168$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{5}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
8036.2.a.n 8036.a 1.a $8$ $64.168$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{5}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
8036.2.a.o 8036.a 1.a $10$ $64.168$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-2\) \(-4\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(1+\beta _{2}+\beta _{3})q^{9}+\cdots\)
8036.2.a.p 8036.a 1.a $10$ $64.168$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(2\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(1+\beta _{2}+\beta _{3})q^{9}+\cdots\)
8036.2.a.q 8036.a 1.a $15$ $64.168$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-1\) \(3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{3}q^{5}+(2+\beta _{2})q^{9}+(1-\beta _{3}+\cdots)q^{11}+\cdots\)
8036.2.a.r 8036.a 1.a $15$ $64.168$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(1\) \(-3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{3}q^{5}+(2+\beta _{2})q^{9}+(1-\beta _{3}+\cdots)q^{11}+\cdots\)
8036.2.a.s 8036.a 1.a $20$ $64.168$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(-4\) \(-8\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{11}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
8036.2.a.t 8036.a 1.a $20$ $64.168$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(4\) \(8\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{11}q^{5}+(1+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
  displayed columns for results