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Results (47 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
4284.2.a.a 4284.a 1.a $1$ $34.208$ \(\Q\) None 4284.2.a.a \(0\) \(0\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}-2q^{11}-6q^{13}-q^{17}+\cdots\)
4284.2.a.b 4284.a 1.a $1$ $34.208$ \(\Q\) None 1428.2.a.c \(0\) \(0\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}+6q^{13}+q^{17}-2q^{19}+\cdots\)
4284.2.a.c 4284.a 1.a $1$ $34.208$ \(\Q\) None 1428.2.a.e \(0\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}-2q^{13}+q^{17}+6q^{19}+\cdots\)
4284.2.a.d 4284.a 1.a $1$ $34.208$ \(\Q\) None 4284.2.a.d \(0\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+2q^{11}+2q^{13}-q^{17}+\cdots\)
4284.2.a.e 4284.a 1.a $1$ $34.208$ \(\Q\) None 1428.2.a.b \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+q^{11}-7q^{13}+q^{17}+\cdots\)
4284.2.a.f 4284.a 1.a $1$ $34.208$ \(\Q\) None 4284.2.a.a \(0\) \(0\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}+2q^{11}-6q^{13}+q^{17}+\cdots\)
4284.2.a.g 4284.a 1.a $1$ $34.208$ \(\Q\) None 4284.2.a.d \(0\) \(0\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-2q^{11}+2q^{13}+q^{17}+\cdots\)
4284.2.a.h 4284.a 1.a $1$ $34.208$ \(\Q\) None 1428.2.a.a \(0\) \(0\) \(3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}+5q^{11}+q^{13}+q^{17}+\cdots\)
4284.2.a.i 4284.a 1.a $1$ $34.208$ \(\Q\) None 1428.2.a.d \(0\) \(0\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}+3q^{11}-q^{13}-q^{17}+\cdots\)
4284.2.a.j 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{17}) \) None 1428.2.a.i \(0\) \(0\) \(-3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}-q^{7}+(-1+\beta )q^{11}+\cdots\)
4284.2.a.k 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{10}) \) None 1428.2.a.h \(0\) \(0\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{5}+q^{7}-3q^{11}+(3-\beta )q^{13}+\cdots\)
4284.2.a.l 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{13}) \) None 476.2.a.c \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}-q^{7}-4q^{11}+(-2+2\beta )q^{13}+\cdots\)
4284.2.a.m 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{5}) \) None 476.2.a.b \(0\) \(0\) \(1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-q^{7}+(2+2\beta )q^{11}-2\beta q^{13}+\cdots\)
4284.2.a.n 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{13}) \) None 476.2.a.d \(0\) \(0\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+q^{7}+(2+2\beta )q^{13}-q^{17}+\cdots\)
4284.2.a.o 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{2}) \) None 1428.2.a.g \(0\) \(0\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}+(1-2\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)
4284.2.a.p 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{13}) \) None 476.2.a.a \(0\) \(0\) \(3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+q^{7}-2\beta q^{11}+(-2-2\beta )q^{13}+\cdots\)
4284.2.a.q 4284.a 1.a $2$ $34.208$ \(\Q(\sqrt{3}) \) None 1428.2.a.f \(0\) \(0\) \(4\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{5}-q^{7}+(-3-2\beta )q^{11}+\cdots\)
4284.2.a.r 4284.a 1.a $3$ $34.208$ 3.3.3028.1 None 4284.2.a.r \(0\) \(0\) \(-3\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1})q^{5}+q^{7}-3q^{11}-\beta _{2}q^{13}+\cdots\)
4284.2.a.s 4284.a 1.a $3$ $34.208$ 3.3.4764.1 None 1428.2.a.j \(0\) \(0\) \(-2\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}+q^{7}+(1+\beta _{2})q^{11}+\cdots\)
4284.2.a.t 4284.a 1.a $3$ $34.208$ 3.3.404.1 None 4284.2.a.t \(0\) \(0\) \(-1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}-q^{7}+(-3+2\beta _{1})q^{11}+(2+\cdots)q^{13}+\cdots\)
4284.2.a.u 4284.a 1.a $3$ $34.208$ 3.3.404.1 None 4284.2.a.t \(0\) \(0\) \(1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}-q^{7}+(3-2\beta _{1})q^{11}+(2-\beta _{1}+\cdots)q^{13}+\cdots\)
4284.2.a.v 4284.a 1.a $3$ $34.208$ 3.3.3028.1 None 4284.2.a.r \(0\) \(0\) \(3\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{5}+q^{7}+3q^{11}-\beta _{2}q^{13}+\cdots\)
4284.2.d.a 4284.d 17.b $2$ $34.208$ \(\Q(\sqrt{-1}) \) None 1428.2.d.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{7}+4iq^{11}-2q^{13}+(-1-4i)q^{17}+\cdots\)
4284.2.d.b 4284.d 17.b $2$ $34.208$ \(\Q(\sqrt{-1}) \) None 4284.2.d.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+3iq^{5}-iq^{7}-3iq^{11}-q^{13}+(-4+\cdots)q^{17}+\cdots\)
4284.2.d.c 4284.d 17.b $2$ $34.208$ \(\Q(\sqrt{-1}) \) None 4284.2.d.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+3iq^{5}+iq^{7}-3iq^{11}-q^{13}+(4+\cdots)q^{17}+\cdots\)
4284.2.d.d 4284.d 17.b $6$ $34.208$ 6.0.38738176.1 None 1428.2.d.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{4}q^{5}+\beta _{1}q^{7}+(-3\beta _{1}-\beta _{4}+\beta _{5})q^{11}+\cdots\)
4284.2.d.e 4284.d 17.b $8$ $34.208$ 8.0.980441344.2 None 476.2.b.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{5}-\beta _{4}q^{7}+(-2\beta _{4}+\beta _{6}+\beta _{7})q^{11}+\cdots\)
4284.2.d.f 4284.d 17.b $12$ $34.208$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None 1428.2.d.c \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{5}+\beta _{8}q^{7}+(\beta _{2}-\beta _{8})q^{11}+(\beta _{4}+\cdots)q^{13}+\cdots\)
4284.2.d.g 4284.d 17.b $12$ $34.208$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None 4284.2.d.g \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{5}-\beta _{3}q^{7}+(-\beta _{5}+\beta _{8})q^{11}+\cdots\)
4284.2.g.a 4284.g 357.c $48$ $34.208$ None 4284.2.g.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4284.2.j.a 4284.j 21.c $20$ $34.208$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None 4284.2.j.a \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{5}-\beta _{14}q^{7}-\beta _{12}q^{11}+\beta _{19}q^{13}+\cdots\)
4284.2.j.b 4284.j 21.c $20$ $34.208$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None 4284.2.j.a \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{5}-\beta _{14}q^{7}+\beta _{12}q^{11}+\beta _{19}q^{13}+\cdots\)
4284.2.x.a 4284.x 357.l $96$ $34.208$ None 4284.2.x.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
4284.2.z.a 4284.z 17.c $4$ $34.208$ \(\Q(\zeta_{8})\) None 1428.2.w.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+2\zeta_{8}q^{5}+\zeta_{8}^{3}q^{7}+(1-\zeta_{8}^{2}+2\zeta_{8}^{3})q^{11}+\cdots\)
4284.2.z.b 4284.z 17.c $16$ $34.208$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None 476.2.l.a \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(\beta _{1}-\beta _{5}+\beta _{10})q^{5}-\beta _{4}q^{7}+(1+\beta _{3}+\cdots)q^{11}+\cdots\)
4284.2.z.c 4284.z 17.c $16$ $34.208$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None 1428.2.w.b \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{8}q^{5}+\beta _{7}q^{7}+(-\beta _{4}+\beta _{5}+\beta _{10}+\cdots)q^{11}+\cdots\)
4284.2.z.d 4284.z 17.c $20$ $34.208$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None 1428.2.w.c \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(\beta _{8}+\beta _{12})q^{5}-\beta _{10}q^{7}+(\beta _{4}-\beta _{5}+\cdots)q^{11}+\cdots\)
4284.2.z.e 4284.z 17.c $32$ $34.208$ None 4284.2.z.e \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
4284.2.bu.a 4284.bu 21.g $4$ $34.208$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None 4284.2.bu.a \(0\) \(0\) \(-4\) \(-2\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-2+\beta _{1}+2\beta _{2}-2\beta _{3})q^{5}+(1-3\beta _{2}+\cdots)q^{7}+\cdots\)
4284.2.bu.b 4284.bu 21.g $4$ $34.208$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None 4284.2.bu.b \(0\) \(0\) \(-2\) \(-8\) $\mathrm{SU}(2)[C_{6}]$ \(q+(\beta _{1}-\beta _{2}+\beta _{3})q^{5}+(-1-2\beta _{2})q^{7}+\cdots\)
4284.2.bu.c 4284.bu 21.g $4$ $34.208$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None 4284.2.bu.b \(0\) \(0\) \(2\) \(-8\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-1-2\beta _{2}+\cdots)q^{7}+\cdots\)
4284.2.bu.d 4284.bu 21.g $4$ $34.208$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None 4284.2.bu.a \(0\) \(0\) \(4\) \(-2\) $\mathrm{SU}(2)[C_{6}]$ \(q+(2-\beta _{1}-2\beta _{2}+2\beta _{3})q^{5}+(1-3\beta _{2}+\cdots)q^{7}+\cdots\)
4284.2.bu.e 4284.bu 21.g $36$ $34.208$ None 4284.2.bu.e \(0\) \(0\) \(-2\) \(8\) $\mathrm{SU}(2)[C_{6}]$
4284.2.bu.f 4284.bu 21.g $36$ $34.208$ None 4284.2.bu.e \(0\) \(0\) \(2\) \(8\) $\mathrm{SU}(2)[C_{6}]$
4284.2.cf.a 4284.cf 357.s $96$ $34.208$ None 4284.2.cf.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
4284.3.e.a 4284.e 3.b $64$ $116.731$ None 4284.3.e.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
4284.3.p.a 4284.p 51.c $72$ $116.731$ None 4284.3.p.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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