Learn more

Refine search


Results (26 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 29
4205.2.a.a 4205.a 1.a $1$ $33.577$ \(\Q\) None 145.2.a.a \(1\) \(0\) \(-1\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-2q^{7}-3q^{8}-3q^{9}+\cdots\)
4205.2.a.b 4205.a 1.a $2$ $33.577$ \(\Q(\sqrt{5}) \) None 4205.2.a.b \(0\) \(-2\) \(-2\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}-q^{5}+(-1-2\beta )q^{7}+\cdots\)
4205.2.a.c 4205.a 1.a $2$ $33.577$ \(\Q(\sqrt{5}) \) None 4205.2.a.b \(0\) \(2\) \(-2\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{4}-q^{5}+(-1-2\beta )q^{7}+\cdots\)
4205.2.a.d 4205.a 1.a $2$ $33.577$ \(\Q(\sqrt{2}) \) None 145.2.a.b \(2\) \(4\) \(2\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+2q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots\)
4205.2.a.e 4205.a 1.a $3$ $33.577$ 3.3.148.1 None 145.2.a.d \(-3\) \(2\) \(-3\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+\cdots\)
4205.2.a.f 4205.a 1.a $3$ $33.577$ 3.3.148.1 None 145.2.a.c \(-1\) \(-2\) \(3\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
4205.2.a.g 4205.a 1.a $4$ $33.577$ \(\Q(\zeta_{24})^+\) None 145.2.c.a \(0\) \(0\) \(4\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+\beta _{2}q^{4}+q^{5}+\cdots\)
4205.2.a.h 4205.a 1.a $5$ $33.577$ 5.5.1586009.1 None 4205.2.a.h \(-1\) \(-2\) \(5\) \(-3\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(2+\beta _{3}-\beta _{4})q^{4}+\cdots\)
4205.2.a.i 4205.a 1.a $5$ $33.577$ 5.5.942577.1 None 4205.2.a.i \(-1\) \(2\) \(-5\) \(1\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1-\beta _{1}-\beta _{4})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
4205.2.a.j 4205.a 1.a $5$ $33.577$ 5.5.942577.1 None 4205.2.a.i \(1\) \(-2\) \(-5\) \(1\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{4})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
4205.2.a.k 4205.a 1.a $5$ $33.577$ 5.5.1586009.1 None 4205.2.a.h \(1\) \(2\) \(5\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(2+\beta _{3}-\beta _{4})q^{4}+\cdots\)
4205.2.a.l 4205.a 1.a $6$ $33.577$ 6.6.5516125.1 None 4205.2.a.l \(-1\) \(-1\) \(-6\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1-\beta _{2}-\beta _{3}+\beta _{4})q^{3}+(1+\cdots)q^{4}+\cdots\)
4205.2.a.m 4205.a 1.a $6$ $33.577$ 6.6.66064384.1 None 145.2.c.b \(0\) \(0\) \(-6\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4205.2.a.n 4205.a 1.a $6$ $33.577$ 6.6.5516125.1 None 4205.2.a.l \(1\) \(1\) \(-6\) \(6\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1+\beta _{2}+\beta _{3}-\beta _{4})q^{3}+\cdots\)
4205.2.a.o 4205.a 1.a $8$ $33.577$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None 4205.2.a.o \(-3\) \(-7\) \(8\) \(4\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4205.2.a.p 4205.a 1.a $8$ $33.577$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None 4205.2.a.o \(3\) \(7\) \(8\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4205.2.a.q 4205.a 1.a $12$ $33.577$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None 145.2.k.a \(-1\) \(1\) \(-12\) \(-5\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{11}q^{3}+\beta _{2}q^{4}-q^{5}+(-2+\cdots)q^{6}+\cdots\)
4205.2.a.r 4205.a 1.a $12$ $33.577$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None 145.2.k.a \(1\) \(-1\) \(-12\) \(-5\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{11}q^{3}+\beta _{2}q^{4}-q^{5}+(-2+\cdots)q^{6}+\cdots\)
4205.2.a.s 4205.a 1.a $18$ $33.577$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None 145.2.k.b \(-1\) \(-1\) \(18\) \(17\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
4205.2.a.t 4205.a 1.a $18$ $33.577$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None 145.2.k.b \(1\) \(1\) \(18\) \(17\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
4205.2.a.u 4205.a 1.a $20$ $33.577$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None 4205.2.a.u \(-9\) \(-13\) \(20\) \(3\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{9})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4205.2.a.v 4205.a 1.a $20$ $33.577$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None 4205.2.a.v \(-1\) \(-3\) \(-20\) \(-1\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{17}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
4205.2.a.w 4205.a 1.a $20$ $33.577$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None 4205.2.a.v \(1\) \(3\) \(-20\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{17}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
4205.2.a.x 4205.a 1.a $20$ $33.577$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None 4205.2.a.u \(9\) \(13\) \(20\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{9})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4205.2.a.y 4205.a 1.a $24$ $33.577$ None 145.2.m.a \(0\) \(0\) \(24\) \(-38\) $-$ $-$ $\mathrm{SU}(2)$
4205.2.a.z 4205.a 1.a $36$ $33.577$ None 145.2.m.b \(0\) \(0\) \(-36\) \(14\) $+$ $-$ $\mathrm{SU}(2)$
  displayed columns for results