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Results (32 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5
5625.2.a.a 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+(-2+4\beta )q^{7}+3q^{8}+\cdots\)
5625.2.a.b 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(0\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}-2q^{7}+(-1+\cdots)q^{8}+\cdots\)
5625.2.a.c 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(0\) \(1\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+(-1+3\beta )q^{7}+\cdots\)
5625.2.a.d 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(0\) \(1\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{7}+(-1+\cdots)q^{8}+\cdots\)
5625.2.a.e 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(-1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(1-3\beta )q^{7}+\cdots\)
5625.2.a.f 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(-1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(-1+\beta )q^{7}+\cdots\)
5625.2.a.g 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+2q^{7}+(1-2\beta )q^{8}+\cdots\)
5625.2.a.h 5625.a 1.a $2$ $44.916$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+(2-4\beta )q^{7}-3q^{8}-2\beta q^{11}+\cdots\)
5625.2.a.i 5625.a 1.a $4$ $44.916$ 4.4.5125.1 None \(-2\) \(0\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
5625.2.a.j 5625.a 1.a $4$ $44.916$ \(\Q(\zeta_{15})^+\) None \(-1\) \(0\) \(0\) \(5\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(\beta _{2}+\beta _{3})q^{2}+\beta _{1}q^{4}+(2+\beta _{2}+2\beta _{3})q^{7}+\cdots\)
5625.2.a.k 5625.a 1.a $4$ $44.916$ \(\Q(\zeta_{15})^+\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(-5\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{4}+(-\beta _{2}+2\beta _{3})q^{7}+(-1-3\beta _{1}+\cdots)q^{13}+\cdots\)
5625.2.a.l 5625.a 1.a $4$ $44.916$ \(\Q(\zeta_{15})^+\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(5\) $+$ $-$ $N(\mathrm{U}(1))$ \(q-2q^{4}+(\beta _{2}-2\beta _{3})q^{7}+(1+3\beta _{1}+\beta _{3})q^{13}+\cdots\)
5625.2.a.m 5625.a 1.a $4$ $44.916$ \(\Q(\zeta_{15})^+\) None \(1\) \(0\) \(0\) \(-5\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{2}-\beta _{3})q^{2}+\beta _{1}q^{4}+(-2-\beta _{2}+\cdots)q^{7}+\cdots\)
5625.2.a.n 5625.a 1.a $4$ $44.916$ 4.4.5125.1 None \(2\) \(0\) \(0\) \(-2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
5625.2.a.o 5625.a 1.a $6$ $44.916$ 6.6.46840000.1 None \(-1\) \(0\) \(0\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots\)
5625.2.a.p 5625.a 1.a $6$ $44.916$ 6.6.44400625.1 None \(0\) \(0\) \(0\) \(-6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
5625.2.a.q 5625.a 1.a $6$ $44.916$ 6.6.44400625.1 None \(0\) \(0\) \(0\) \(6\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1-\beta _{3}+\beta _{4})q^{4}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
5625.2.a.r 5625.a 1.a $6$ $44.916$ 6.6.46840000.1 None \(1\) \(0\) \(0\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{2}-\beta _{3})q^{7}+\cdots\)
5625.2.a.s 5625.a 1.a $8$ $44.916$ 8.8.6152203125.1 None \(-5\) \(0\) \(0\) \(10\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
5625.2.a.t 5625.a 1.a $8$ $44.916$ 8.8.5444000000.1 None \(-4\) \(0\) \(0\) \(8\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
5625.2.a.u 5625.a 1.a $8$ $44.916$ 8.8.\(\cdots\).1 None \(-1\) \(0\) \(0\) \(12\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
5625.2.a.v 5625.a 1.a $8$ $44.916$ 8.8.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
5625.2.a.w 5625.a 1.a $8$ $44.916$ 8.8.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
5625.2.a.x 5625.a 1.a $8$ $44.916$ 8.8.\(\cdots\).2 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{6}+\cdots)q^{7}+\cdots\)
5625.2.a.y 5625.a 1.a $8$ $44.916$ 8.8.\(\cdots\).2 None \(0\) \(0\) \(0\) \(-10\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{3}+2\beta _{5}+\cdots)q^{7}+\cdots\)
5625.2.a.z 5625.a 1.a $8$ $44.916$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(-10\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
5625.2.a.ba 5625.a 1.a $8$ $44.916$ 8.8.\(\cdots\).2 None \(0\) \(0\) \(0\) \(10\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{3}-2\beta _{5})q^{7}+\cdots\)
5625.2.a.bb 5625.a 1.a $8$ $44.916$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(10\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
5625.2.a.bc 5625.a 1.a $8$ $44.916$ 8.8.\(\cdots\).1 None \(1\) \(0\) \(0\) \(-12\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
5625.2.a.bd 5625.a 1.a $8$ $44.916$ 8.8.5444000000.1 None \(4\) \(0\) \(0\) \(-8\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{3}+\cdots)q^{7}+\cdots\)
5625.2.a.be 5625.a 1.a $8$ $44.916$ 8.8.6152203125.1 None \(5\) \(0\) \(0\) \(-10\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots\)
5625.2.a.bf 5625.a 1.a $24$ $44.916$ None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$
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