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Results (24 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 37
2738.2.a.a 2738.a 1.a $1$ $21.863$ \(\Q\) None \(-1\) \(-2\) \(3\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}-4q^{7}+\cdots\)
2738.2.a.b 2738.a 1.a $1$ $21.863$ \(\Q\) None \(-1\) \(2\) \(-1\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots\)
2738.2.a.c 2738.a 1.a $1$ $21.863$ \(\Q\) None \(1\) \(-2\) \(-3\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}-3q^{5}-2q^{6}-4q^{7}+\cdots\)
2738.2.a.d 2738.a 1.a $1$ $21.863$ \(\Q\) None \(1\) \(2\) \(1\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
2738.2.a.e 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
2738.2.a.f 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(8\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
2738.2.a.g 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(-1\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}+(1-3\beta )q^{5}+\beta q^{6}+\cdots\)
2738.2.a.h 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{21}) \) None \(-2\) \(1\) \(3\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}+(1+\beta )q^{5}-\beta q^{6}+\cdots\)
2738.2.a.i 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2738.2.a.j 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(8\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2738.2.a.k 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{21}) \) None \(2\) \(1\) \(-3\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)
2738.2.a.l 2738.a 1.a $2$ $21.863$ \(\Q(\sqrt{13}) \) None \(2\) \(3\) \(1\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\beta )q^{6}+\cdots\)
2738.2.a.m 2738.a 1.a $3$ $21.863$ \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(-6\) \(3\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-2-\beta _{2})q^{5}+\cdots\)
2738.2.a.n 2738.a 1.a $3$ $21.863$ 3.3.404.1 None \(-3\) \(0\) \(-1\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots\)
2738.2.a.o 2738.a 1.a $3$ $21.863$ 3.3.404.1 None \(3\) \(0\) \(1\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
2738.2.a.p 2738.a 1.a $3$ $21.863$ \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(6\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(2+\beta _{2})q^{5}-\beta _{1}q^{6}+\cdots\)
2738.2.a.q 2738.a 1.a $6$ $21.863$ 6.6.37902897.1 None \(-6\) \(0\) \(0\) \(-3\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
2738.2.a.r 2738.a 1.a $6$ $21.863$ \(\Q(\zeta_{36})^+\) None \(-6\) \(0\) \(6\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(\beta _{2}+\beta _{4})q^{3}+q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
2738.2.a.s 2738.a 1.a $6$ $21.863$ \(\Q(\zeta_{36})^+\) None \(6\) \(0\) \(-6\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(\beta _{2}+\beta _{4})q^{3}+q^{4}+(-1-\beta _{3}+\cdots)q^{5}+\cdots\)
2738.2.a.t 2738.a 1.a $6$ $21.863$ 6.6.37902897.1 None \(6\) \(0\) \(0\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
2738.2.a.u 2738.a 1.a $9$ $21.863$ \(\Q(\zeta_{38})^+\) None \(-9\) \(-7\) \(7\) \(-14\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1}-\beta _{4})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots\)
2738.2.a.v 2738.a 1.a $9$ $21.863$ \(\Q(\zeta_{38})^+\) None \(9\) \(-7\) \(-7\) \(-14\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1}-\beta _{4})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
2738.2.a.w 2738.a 1.a $18$ $21.863$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-18\) \(8\) \(-9\) \(18\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{1}+\beta _{12})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
2738.2.a.x 2738.a 1.a $18$ $21.863$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(18\) \(8\) \(9\) \(18\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1}+\beta _{12})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots\)
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