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Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3025.1.f.a 3025.f 5.c $2$ $1.510$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-55}) \) None 3025.1.f.a \(-2\) \(0\) \(0\) \(2\) \(q+(-1-i)q^{2}+iq^{4}+(1+i)q^{7}-q^{8}+\cdots\)
3025.1.f.b 3025.f 5.c $2$ $1.510$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None 605.1.f.a \(0\) \(-2\) \(0\) \(0\) \(q+(-1+i)q^{3}-iq^{4}-iq^{9}+(1+i+\cdots)q^{12}+\cdots\)
3025.1.f.c 3025.f 5.c $2$ $1.510$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-55}) \) None 3025.1.f.a \(2\) \(0\) \(0\) \(-2\) \(q+(1+i)q^{2}+iq^{4}+(-1-i)q^{7}+q^{8}+\cdots\)
3025.1.m.a 3025.m 275.m $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.v.a \(0\) \(3\) \(-1\) \(0\) \(q+(1-\zeta_{10})q^{3}+q^{4}+\zeta_{10}^{2}q^{5}+(1+\cdots)q^{9}+\cdots\)
3025.1.o.a 3025.o 275.o $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.s.a \(0\) \(0\) \(1\) \(0\) \(q+(-\zeta_{10}-\zeta_{10}^{4})q^{3}-\zeta_{10}^{4}q^{4}-\zeta_{10}^{4}q^{5}+\cdots\)
3025.1.p.a 3025.p 275.p $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.s.a \(0\) \(-5\) \(1\) \(0\) \(q+(-1-\zeta_{10})q^{3}-\zeta_{10}^{4}q^{4}+\zeta_{10}q^{5}+\cdots\)
3025.1.r.a 3025.r 275.r $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.s.a \(0\) \(0\) \(1\) \(0\) \(q+(-\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}+\zeta_{10}q^{4}+\zeta_{10}^{3}q^{5}+\cdots\)
3025.1.u.a 3025.u 275.u $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.v.a \(0\) \(3\) \(-1\) \(0\) \(q+(1+\zeta_{10}^{4})q^{3}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\cdots\)
3025.1.w.a 3025.w 275.w $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.v.a \(0\) \(-2\) \(-1\) \(0\) \(q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}-\zeta_{10}q^{4}-\zeta_{10}^{3}q^{5}+\cdots\)
3025.1.x.a 3025.x 11.d $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) 55.1.d.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{10}^{3}q^{4}-\zeta_{10}^{4}q^{9}-\zeta_{10}q^{16}+\cdots\)
3025.1.bc.a 3025.bc 275.ac $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.v.a \(0\) \(-2\) \(-1\) \(0\) \(q+(-\zeta_{10}+\zeta_{10}^{4})q^{3}-\zeta_{10}q^{4}-\zeta_{10}q^{5}+\cdots\)
3025.1.bd.a 3025.bd 275.ad $4$ $1.510$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-11}) \) None 275.1.s.a \(0\) \(5\) \(1\) \(0\) \(q+(1-\zeta_{10}^{2})q^{3}-q^{4}-\zeta_{10}^{4}q^{5}+(1+\cdots)q^{9}+\cdots\)
3025.1.bf.a 3025.bf 275.ae $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-11}) \) None 3025.1.bj.a \(0\) \(8\) \(0\) \(0\) \(q+(1+\zeta_{20}^{9})q^{3}+\zeta_{20}^{5}q^{4}+\zeta_{20}^{3}q^{5}+\cdots\)
3025.1.bi.a 3025.bi 275.ah $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-11}) \) None 3025.1.bj.a \(0\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{20}^{6}+\zeta_{20}^{9})q^{3}+\zeta_{20}^{9}q^{4}+\cdots\)
3025.1.bj.a 3025.bj 25.f $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-11}) \) None 3025.1.bj.a \(0\) \(-2\) \(0\) \(0\) \(q+(\zeta_{20}+\zeta_{20}^{8})q^{3}-\zeta_{20}^{7}q^{4}-\zeta_{20}^{5}q^{5}+\cdots\)
3025.1.bk.a 3025.bk 275.aj $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-11}) \) None 3025.1.bj.a \(0\) \(-2\) \(0\) \(0\) \(q+(\zeta_{20}^{3}-\zeta_{20}^{6})q^{3}-\zeta_{20}^{9}q^{4}-\zeta_{20}^{7}q^{5}+\cdots\)
3025.1.bl.a 3025.bl 55.k $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-55}) \) None 3025.1.f.a \(-2\) \(0\) \(0\) \(2\) \(q+(\zeta_{20}-\zeta_{20}^{6})q^{2}-\zeta_{20}^{7}q^{4}+(\zeta_{20}^{2}+\cdots)q^{7}+\cdots\)
3025.1.bl.b 3025.bl 55.k $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-11}) \) None 605.1.f.a \(0\) \(2\) \(0\) \(0\) \(q+(-\zeta_{20}^{3}-\zeta_{20}^{8})q^{3}+\zeta_{20}^{7}q^{4}+\cdots\)
3025.1.bl.c 3025.bl 55.k $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-55}) \) None 3025.1.f.a \(2\) \(0\) \(0\) \(-2\) \(q+(-\zeta_{20}+\zeta_{20}^{6})q^{2}-\zeta_{20}^{7}q^{4}+(-\zeta_{20}^{2}+\cdots)q^{7}+\cdots\)
3025.1.bq.a 3025.bq 275.ap $8$ $1.510$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-11}) \) None 3025.1.bj.a \(0\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{20}^{2}-\zeta_{20}^{5})q^{3}+\zeta_{20}^{3}q^{4}+\cdots\)
3025.2.a.a 3025.a 1.a $1$ $24.155$ \(\Q\) None None 11.2.a.a \(-2\) \(1\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}-2q^{7}+\cdots\)
3025.2.a.b 3025.a 1.a $1$ $24.155$ \(\Q\) None None 121.2.a.a \(-1\) \(-2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}-q^{4}+2q^{6}+2q^{7}+3q^{8}+\cdots\)
3025.2.a.c 3025.a 1.a $1$ $24.155$ \(\Q\) None None 605.2.a.a \(-1\) \(3\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}-q^{4}-3q^{6}-3q^{7}+3q^{8}+\cdots\)
3025.2.a.d 3025.a 1.a $1$ $24.155$ \(\Q\) \(\Q(\sqrt{-11}) \) None 121.2.a.b \(0\) \(1\) \(0\) \(0\) $+$ $N(\mathrm{U}(1))$ \(q+q^{3}-2q^{4}-2q^{9}-2q^{12}+4q^{16}+\cdots\)
3025.2.a.e 3025.a 1.a $1$ $24.155$ \(\Q\) None None 121.2.a.a \(1\) \(-2\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}-q^{4}-2q^{6}-2q^{7}-3q^{8}+\cdots\)
3025.2.a.f 3025.a 1.a $1$ $24.155$ \(\Q\) None None 55.2.a.a \(1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-3q^{8}-3q^{9}+2q^{13}+\cdots\)
3025.2.a.g 3025.a 1.a $1$ $24.155$ \(\Q\) None None 605.2.a.a \(1\) \(3\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}-q^{4}+3q^{6}+3q^{7}-3q^{8}+\cdots\)
3025.2.a.h 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{13}) \) None None 275.2.a.e \(-1\) \(1\) \(0\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(1-\beta )q^{3}+(1+\beta )q^{4}+3q^{6}+\cdots\)
3025.2.a.i 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{5}) \) None None 275.2.a.d \(-1\) \(3\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(1+\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
3025.2.a.j 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{3}) \) None None 605.2.a.f \(0\) \(-4\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-2q^{3}+q^{4}-2\beta q^{6}+2\beta q^{7}+\cdots\)
3025.2.a.k 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{11}) \) \(\Q(\sqrt{-11}) \) None 605.2.b.a \(0\) \(0\) \(0\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q-\beta q^{3}-2q^{4}+8q^{9}+2\beta q^{12}+4q^{16}+\cdots\)
3025.2.a.l 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{3}) \) None None 605.2.a.e \(0\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-\beta q^{7}-\beta q^{8}+\cdots\)
3025.2.a.m 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{5}) \) None None 275.2.a.d \(1\) \(-3\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1-\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
3025.2.a.n 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{13}) \) None None 275.2.a.e \(1\) \(-1\) \(0\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{3}+(1+\beta )q^{4}+3q^{6}+\cdots\)
3025.2.a.o 3025.a 1.a $2$ $24.155$ \(\Q(\sqrt{2}) \) None None 55.2.a.b \(2\) \(0\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+2\beta q^{3}+(1+2\beta )q^{4}+(4+\cdots)q^{6}+\cdots\)
3025.2.a.p 3025.a 1.a $3$ $24.155$ 3.3.404.1 None None 605.2.a.g \(-1\) \(-1\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-\beta _{1}q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+\cdots\)
3025.2.a.q 3025.a 1.a $3$ $24.155$ 3.3.473.1 None None 3025.2.a.q \(0\) \(-3\) \(0\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3025.2.a.r 3025.a 1.a $3$ $24.155$ 3.3.473.1 None None 3025.2.a.q \(0\) \(-3\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3025.2.a.s 3025.a 1.a $3$ $24.155$ 3.3.473.1 None None 3025.2.a.q \(0\) \(3\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3025.2.a.t 3025.a 1.a $3$ $24.155$ 3.3.473.1 None None 3025.2.a.q \(0\) \(3\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3025.2.a.u 3025.a 1.a $3$ $24.155$ 3.3.404.1 None None 605.2.a.g \(1\) \(-1\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+\cdots\)
3025.2.a.v 3025.a 1.a $4$ $24.155$ 4.4.2525.1 None None 55.2.g.a \(-3\) \(2\) \(0\) \(-11\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{3})q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
3025.2.a.w 3025.a 1.a $4$ $24.155$ 4.4.725.1 None None 55.2.g.b \(-1\) \(0\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1-\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots\)
3025.2.a.x 3025.a 1.a $4$ $24.155$ 4.4.105840.1 None None 3025.2.a.x \(0\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(3+\beta _{2})q^{4}+\cdots\)
3025.2.a.y 3025.a 1.a $4$ $24.155$ \(\Q(\zeta_{24})^+\) None None 605.2.b.d \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+\beta _{2}q^{4}-q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
3025.2.a.z 3025.a 1.a $4$ $24.155$ \(\Q(\zeta_{24})^+\) None None 605.2.b.d \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+\beta _{2}q^{4}+q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
3025.2.a.ba 3025.a 1.a $4$ $24.155$ \(\Q(\sqrt{3}, \sqrt{11})\) None None 55.2.b.a \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(2+\beta _{3})q^{4}+\cdots\)
3025.2.a.bb 3025.a 1.a $4$ $24.155$ 4.4.4400.1 \(\Q(\sqrt{-55}) \) None 605.2.b.b \(0\) \(0\) \(0\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q-\beta _{2}q^{2}+(2-\beta _{3})q^{4}+\beta _{1}q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots\)
3025.2.a.bc 3025.a 1.a $4$ $24.155$ 4.4.105840.1 None None 3025.2.a.x \(0\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{3}+(3+\beta _{2})q^{4}+\cdots\)
3025.2.a.bd 3025.a 1.a $4$ $24.155$ 4.4.725.1 None None 55.2.g.b \(1\) \(0\) \(0\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots\)
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