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Results (16 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 7 11
4851.2.a.c 4851.a 1.a $1$ $38.735$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+3q^{8}+q^{11}-4q^{13}+\cdots\)
4851.2.a.d 4851.a 1.a $1$ $38.735$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+3q^{8}+q^{11}-4q^{13}+\cdots\)
4851.2.a.f 4851.a 1.a $1$ $38.735$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+3q^{8}+q^{11}+4q^{13}+\cdots\)
4851.2.a.j 4851.a 1.a $1$ $38.735$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}+q^{11}+4q^{13}+4q^{16}+\cdots\)
4851.2.a.k 4851.a 1.a $1$ $38.735$ \(\Q\) None \(0\) \(0\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+3q^{5}+q^{11}+4q^{13}+4q^{16}+\cdots\)
4851.2.a.p 4851.a 1.a $1$ $38.735$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-2q^{5}-3q^{8}-2q^{10}+\cdots\)
4851.2.a.q 4851.a 1.a $1$ $38.735$ \(\Q\) None \(1\) \(0\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+4q^{5}-3q^{8}+4q^{10}+\cdots\)
4851.2.a.s 4851.a 1.a $1$ $38.735$ \(\Q\) None \(2\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{11}+5q^{13}-4q^{16}+\cdots\)
4851.2.a.y 4851.a 1.a $2$ $38.735$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+3q^{4}-2q^{5}-\beta q^{8}+2\beta q^{10}+\cdots\)
4851.2.a.ba 4851.a 1.a $2$ $38.735$ \(\Q(\sqrt{21}) \) None \(1\) \(0\) \(6\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(3+\beta )q^{4}+3q^{5}+(5+2\beta )q^{8}+\cdots\)
4851.2.a.bg 4851.a 1.a $2$ $38.735$ \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+3\beta q^{4}+(1-2\beta )q^{5}+(1+\cdots)q^{8}+\cdots\)
4851.2.a.bh 4851.a 1.a $2$ $38.735$ \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots\)
4851.2.a.bi 4851.a 1.a $3$ $38.735$ 3.3.229.1 None \(-2\) \(0\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(2+\beta _{1})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
4851.2.a.bn 4851.a 1.a $3$ $38.735$ 3.3.257.1 None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
4851.2.a.bu 4851.a 1.a $4$ $38.735$ 4.4.11344.1 None \(-2\) \(0\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
4851.2.a.bv 4851.a 1.a $4$ $38.735$ 4.4.9248.1 None \(-2\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+(2-\beta _{3})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
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