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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2760.1.o.a 2760.o 2760.o $1$ $1.377$ \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-690}) \) \(\Q(\sqrt{46}) \) \(-1\) \(1\) \(-1\) \(0\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
2760.1.o.b 2760.o 2760.o $1$ $1.377$ \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-690}) \) \(\Q(\sqrt{46}) \) \(-1\) \(1\) \(1\) \(0\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
2760.1.o.c 2760.o 2760.o $1$ $1.377$ \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-690}) \) \(\Q(\sqrt{46}) \) \(1\) \(-1\) \(-1\) \(0\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
2760.1.o.d 2760.o 2760.o $1$ $1.377$ \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-690}) \) \(\Q(\sqrt{46}) \) \(1\) \(-1\) \(1\) \(0\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
2760.1.bv.a 2760.bv 345.l $4$ $1.377$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{3}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{3}q^{7}-q^{9}+\cdots\)
2760.1.bv.b 2760.bv 345.l $4$ $1.377$ \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{3}q^{7}+q^{9}+(1+\cdots)q^{13}+\cdots\)
2760.1.cm.a 2760.cm 2760.bm $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-30}) \) None \(-1\) \(-1\) \(-1\) \(0\) \(q+\zeta_{22}^{8}q^{2}-\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\)
2760.1.cm.b 2760.cm 2760.bm $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-30}) \) None \(-1\) \(1\) \(1\) \(0\) \(q+\zeta_{22}^{8}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\)
2760.1.cm.c 2760.cm 2760.bm $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-30}) \) None \(1\) \(-1\) \(1\) \(0\) \(q-\zeta_{22}^{8}q^{2}-\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\)
2760.1.cm.d 2760.cm 2760.bm $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-30}) \) None \(1\) \(1\) \(-1\) \(0\) \(q-\zeta_{22}^{8}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots\)
2760.1.cm.e 2760.cm 2760.bm $20$ $1.377$ \(\Q(\zeta_{44})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{44}^{3}q^{2}+\zeta_{44}^{21}q^{3}+\zeta_{44}^{6}q^{4}+\cdots\)
2760.1.cm.f 2760.cm 2760.bm $20$ $1.377$ \(\Q(\zeta_{44})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{44}^{5}q^{2}-\zeta_{44}^{21}q^{3}+\zeta_{44}^{10}q^{4}+\cdots\)
2760.1.co.a 2760.co 2760.bo $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-15}) \) None \(-1\) \(1\) \(-1\) \(0\) \(q-\zeta_{22}^{5}q^{2}-\zeta_{22}^{2}q^{3}+\zeta_{22}^{10}q^{4}+\cdots\)
2760.1.co.b 2760.co 2760.bo $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-15}) \) None \(-1\) \(1\) \(1\) \(0\) \(q-\zeta_{22}q^{2}-\zeta_{22}^{2}q^{3}+\zeta_{22}^{2}q^{4}+\zeta_{22}^{7}q^{5}+\cdots\)
2760.1.co.c 2760.co 2760.bo $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-15}) \) None \(1\) \(-1\) \(-1\) \(0\) \(q+\zeta_{22}q^{2}+\zeta_{22}^{2}q^{3}+\zeta_{22}^{2}q^{4}-\zeta_{22}^{7}q^{5}+\cdots\)
2760.1.co.d 2760.co 2760.bo $10$ $1.377$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-15}) \) None \(1\) \(-1\) \(1\) \(0\) \(q+\zeta_{22}^{5}q^{2}+\zeta_{22}^{2}q^{3}+\zeta_{22}^{10}q^{4}+\cdots\)
2760.2.a.a 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
2760.2.a.b 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+3q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
2760.2.a.c 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+4q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots\)
2760.2.a.d 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
2760.2.a.e 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
2760.2.a.f 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{13}-q^{15}+\cdots\)
2760.2.a.g 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
2760.2.a.h 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}-6q^{17}+\cdots\)
2760.2.a.i 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(1\) \(-1\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+3q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
2760.2.a.j 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(1\) \(1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-3q^{7}+q^{9}-4q^{11}+q^{15}+\cdots\)
2760.2.a.k 2760.a 1.a $1$ $22.039$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{11}+q^{15}+6q^{17}+\cdots\)
2760.2.a.l 2760.a 1.a $2$ $22.039$ \(\Q(\sqrt{11}) \) None None \(0\) \(-2\) \(-2\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-3q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots\)
2760.2.a.m 2760.a 1.a $2$ $22.039$ \(\Q(\sqrt{17}) \) None None \(0\) \(-2\) \(-2\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-1-\beta )q^{7}+q^{9}+2q^{11}+\cdots\)
2760.2.a.n 2760.a 1.a $2$ $22.039$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(-1+2\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
2760.2.a.o 2760.a 1.a $2$ $22.039$ \(\Q(\sqrt{33}) \) None None \(0\) \(-2\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+\beta q^{7}+q^{9}+4q^{11}+(-2+\cdots)q^{13}+\cdots\)
2760.2.a.p 2760.a 1.a $2$ $22.039$ \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-\beta q^{7}+q^{9}-2\beta q^{11}+\cdots\)
2760.2.a.q 2760.a 1.a $2$ $22.039$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+(-2+3\beta )q^{11}+\cdots\)
2760.2.a.r 2760.a 1.a $3$ $22.039$ 3.3.316.1 None None \(0\) \(3\) \(-3\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(-2+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
2760.2.a.s 2760.a 1.a $3$ $22.039$ 3.3.1436.1 None None \(0\) \(3\) \(-3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(-1+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
2760.2.a.t 2760.a 1.a $3$ $22.039$ 3.3.229.1 None None \(0\) \(3\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-\beta _{1}q^{7}+q^{9}+(1-\beta _{2})q^{13}+\cdots\)
2760.2.a.u 2760.a 1.a $3$ $22.039$ 3.3.568.1 None None \(0\) \(3\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+(1-2\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
2760.2.a.v 2760.a 1.a $4$ $22.039$ 4.4.54764.1 None None \(0\) \(-4\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-\beta _{1}q^{7}+q^{9}-\beta _{3}q^{11}+\cdots\)
2760.2.a.w 2760.a 1.a $5$ $22.039$ 5.5.20087896.1 None None \(0\) \(-5\) \(5\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(-1+\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
2760.2.k.a 2760.k 5.b $2$ $22.039$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(-2+i)q^{5}+2iq^{7}-q^{9}+\cdots\)
2760.2.k.b 2760.k 5.b $2$ $22.039$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+(-1+2i)q^{5}-q^{9}+(2+i)q^{15}+\cdots\)
2760.2.k.c 2760.k 5.b $12$ $22.039$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{6}q^{3}-\beta _{10}q^{5}+\beta _{1}q^{7}-q^{9}+\beta _{2}q^{11}+\cdots\)
2760.2.k.d 2760.k 5.b $14$ $22.039$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{3}-\beta _{12}q^{5}+(\beta _{2}+\beta _{10})q^{7}+\cdots\)
2760.2.k.e 2760.k 5.b $16$ $22.039$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}-\beta _{5}q^{5}+\beta _{1}q^{7}-q^{9}+\beta _{14}q^{11}+\cdots\)
2760.2.k.f 2760.k 5.b $22$ $22.039$ None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2760.2.p.a 2760.p 69.c $48$ $22.039$ None None \(0\) \(0\) \(-48\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2760.2.p.b 2760.p 69.c $48$ $22.039$ None None \(0\) \(0\) \(48\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2760.3.g.a 2760.g 23.b $96$ $75.205$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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