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Results (11 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 67
3015.2.a.a 3015.a 1.a $1$ $24.075$ \(\Q\) None 1005.2.a.b \(-1\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}+4q^{13}+\cdots\)
3015.2.a.c 3015.a 1.a $1$ $24.075$ \(\Q\) None 1005.2.a.a \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}+2q^{7}+6q^{11}+2q^{13}+\cdots\)
3015.2.a.d 3015.a 1.a $2$ $24.075$ \(\Q(\sqrt{5}) \) None 335.2.a.c \(-1\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-1+2\beta )q^{7}+\cdots\)
3015.2.a.f 3015.a 1.a $4$ $24.075$ 4.4.9301.1 None 1005.2.a.f \(-2\) \(0\) \(-4\) \(11\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(2+\beta _{2}-\beta _{3})q^{4}+\cdots\)
3015.2.a.h 3015.a 1.a $4$ $24.075$ 4.4.2525.1 None 1005.2.a.d \(2\) \(0\) \(4\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots\)
3015.2.a.i 3015.a 1.a $4$ $24.075$ 4.4.1957.1 None 1005.2.a.c \(4\) \(0\) \(-4\) \(-9\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
3015.2.a.m 3015.a 1.a $7$ $24.075$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None 335.2.a.d \(-2\) \(0\) \(7\) \(10\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{2}-\beta _{5})q^{2}+(1+\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)
3015.2.a.n 3015.a 1.a $8$ $24.075$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None 1005.2.a.j \(3\) \(0\) \(8\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+\beta _{7}q^{7}+\cdots\)
3015.2.a.p 3015.a 1.a $9$ $24.075$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None 3015.2.a.o \(3\) \(0\) \(-9\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+(\beta _{3}-\beta _{6}+\cdots)q^{7}+\cdots\)
3015.2.a.q 3015.a 1.a $11$ $24.075$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None 335.2.a.e \(0\) \(0\) \(-11\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
3015.2.a.s 3015.a 1.a $13$ $24.075$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None 3015.2.a.r \(3\) \(0\) \(13\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+\beta _{4}q^{7}+\cdots\)
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