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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 13
5070.2.a.a 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.b 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(3\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
5070.2.a.c 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(-1\) \(3\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
5070.2.a.d 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.e 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.f 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.g 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.h 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
5070.2.a.i 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(1\) \(-1\) \(-5\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-5q^{7}+\cdots\)
5070.2.a.j 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(1\) \(-1\) \(2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.k 5070.a 1.a $1$ $40.484$ \(\Q\) None \(-1\) \(1\) \(1\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
5070.2.a.l 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.m 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.n 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.o 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.p 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.q 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
5070.2.a.r 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
5070.2.a.s 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
5070.2.a.t 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(1\) \(-1\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.u 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(1\) \(1\) \(-4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots\)
5070.2.a.v 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(1\) \(1\) \(-2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.w 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(1\) \(1\) \(4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots\)
5070.2.a.x 5070.a 1.a $1$ $40.484$ \(\Q\) None \(1\) \(1\) \(1\) \(5\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+5q^{7}+\cdots\)
5070.2.a.y 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(-2\) \(-4\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
5070.2.a.z 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{13}) \) None \(-2\) \(-2\) \(-2\) \(-2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.ba 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(2\) \(-6\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
5070.2.a.bb 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(-2\) \(-3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bc 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots\)
5070.2.a.bd 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(2\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.be 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(6\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots\)
5070.2.a.bf 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{13}) \) None \(2\) \(-2\) \(2\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.bg 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(2\) \(4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\cdots\)
5070.2.a.bh 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{17}) \) None \(2\) \(2\) \(-2\) \(-2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bi 5070.a 1.a $2$ $40.484$ \(\Q(\sqrt{17}) \) None \(2\) \(2\) \(2\) \(3\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
5070.2.a.bj 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-3\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bk 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(-3\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bl 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(3\) \(8\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(3-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bm 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(3\) \(8\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(3-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bn 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(-3\) \(-2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
5070.2.a.bo 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(-3\) \(10\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(3+\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bp 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(-6\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(-2+\cdots)q^{7}+\cdots\)
5070.2.a.bq 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(-3\) \(3\) \(3\) \(6\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.br 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(-3\) \(-8\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots\)
5070.2.a.bs 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(-3\) \(-8\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots\)
5070.2.a.bt 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(3\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bu 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(3\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bv 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(-6\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
5070.2.a.bw 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-3\) \(6\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
5070.2.a.bx 5070.a 1.a $3$ $40.484$ \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(3\) \(-10\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(-3+\cdots)q^{7}+\cdots\)
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