Learn more

Refine search


Results (1-50 of 207 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
880.1.i.a 880.i 55.d $1$ $0.439$ \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) 55.1.d.a \(0\) \(0\) \(-1\) \(0\) \(q-q^{5}+q^{9}+q^{11}+q^{25}+2q^{31}+\cdots\)
880.1.i.b 880.i 55.d $2$ $0.439$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None 220.1.e.a \(0\) \(0\) \(1\) \(0\) \(q+(-\zeta_{6}-\zeta_{6}^{2})q^{3}-\zeta_{6}^{2}q^{5}+(-1+\cdots)q^{9}+\cdots\)
880.1.x.a 880.x 880.x $8$ $0.439$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-55}) \) None 880.1.x.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+\zeta_{16}^{6}q^{5}+\cdots\)
880.1.y.a 880.y 220.i $2$ $0.439$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None 880.1.y.a \(0\) \(-2\) \(0\) \(0\) \(q+(-1-i)q^{3}-iq^{5}+iq^{9}-iq^{11}+\cdots\)
880.1.y.b 880.y 220.i $2$ $0.439$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None 880.1.y.a \(0\) \(2\) \(0\) \(0\) \(q+(1+i)q^{3}-iq^{5}+iq^{9}+iq^{11}+\cdots\)
880.1.y.c 880.y 220.i $4$ $0.439$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None 880.1.y.c \(0\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{2})q^{3}+\zeta_{12}^{5}q^{5}+(\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
880.1.y.d 880.y 220.i $4$ $0.439$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None 880.1.y.c \(0\) \(2\) \(0\) \(0\) \(q+(-\zeta_{12}+\zeta_{12}^{2})q^{3}-\zeta_{12}^{5}q^{5}+(\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
880.2.a.a 880.a 1.a $1$ $7.027$ \(\Q\) None None 440.2.a.d \(0\) \(-3\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}-q^{7}+6q^{9}+q^{11}-6q^{13}+\cdots\)
880.2.a.b 880.a 1.a $1$ $7.027$ \(\Q\) None None 220.2.a.b \(0\) \(-2\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-q^{11}-2q^{15}+\cdots\)
880.2.a.c 880.a 1.a $1$ $7.027$ \(\Q\) None None 110.2.a.a \(0\) \(-1\) \(-1\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-5q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots\)
880.2.a.d 880.a 1.a $1$ $7.027$ \(\Q\) None None 110.2.a.c \(0\) \(-1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}-2q^{9}+q^{11}+2q^{13}+\cdots\)
880.2.a.e 880.a 1.a $1$ $7.027$ \(\Q\) None None 440.2.a.b \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}-q^{11}-4q^{13}+\cdots\)
880.2.a.f 880.a 1.a $1$ $7.027$ \(\Q\) None None 440.2.a.a \(0\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}+q^{11}+8q^{19}+\cdots\)
880.2.a.g 880.a 1.a $1$ $7.027$ \(\Q\) None None 440.2.a.c \(0\) \(0\) \(1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-3q^{9}+q^{11}+6q^{13}+\cdots\)
880.2.a.h 880.a 1.a $1$ $7.027$ \(\Q\) None None 55.2.a.a \(0\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}+q^{11}+2q^{13}+6q^{17}+\cdots\)
880.2.a.i 880.a 1.a $1$ $7.027$ \(\Q\) None None 110.2.a.b \(0\) \(1\) \(1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-3q^{7}-2q^{9}-q^{11}-6q^{13}+\cdots\)
880.2.a.j 880.a 1.a $1$ $7.027$ \(\Q\) None None 220.2.a.a \(0\) \(2\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+4q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
880.2.a.k 880.a 1.a $2$ $7.027$ \(\Q(\sqrt{17}) \) None None 440.2.a.g \(0\) \(-1\) \(-2\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
880.2.a.l 880.a 1.a $2$ $7.027$ \(\Q(\sqrt{17}) \) None None 440.2.a.f \(0\) \(-1\) \(-2\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(-2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
880.2.a.m 880.a 1.a $2$ $7.027$ \(\Q(\sqrt{2}) \) None None 55.2.a.b \(0\) \(0\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+2q^{7}+5q^{9}-q^{11}+\cdots\)
880.2.a.n 880.a 1.a $2$ $7.027$ \(\Q(\sqrt{33}) \) None None 110.2.a.d \(0\) \(1\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}-\beta q^{7}+(5+\beta )q^{9}+q^{11}+\cdots\)
880.2.a.o 880.a 1.a $2$ $7.027$ \(\Q(\sqrt{17}) \) None None 440.2.a.e \(0\) \(1\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+q^{5}+\beta q^{7}+(1+\beta )q^{9}-q^{11}+\cdots\)
880.2.b.a 880.b 5.b $2$ $7.027$ \(\Q(\sqrt{-1}) \) None None 110.2.b.a \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(-2-i)q^{5}+3iq^{7}+2q^{9}+\cdots\)
880.2.b.b 880.b 5.b $2$ $7.027$ \(\Q(\sqrt{-1}) \) None None 440.2.b.a \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(-1-i)q^{5}+iq^{7}-q^{9}+\cdots\)
880.2.b.c 880.b 5.b $2$ $7.027$ \(\Q(\sqrt{-1}) \) None None 220.2.b.a \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1+i)q^{5}-iq^{7}+3q^{9}+q^{11}+\cdots\)
880.2.b.d 880.b 5.b $2$ $7.027$ \(\Q(\sqrt{-1}) \) None None 440.2.b.b \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(1+i)q^{5}-2iq^{7}-q^{9}-q^{11}+\cdots\)
880.2.b.e 880.b 5.b $2$ $7.027$ \(\Q(\sqrt{-1}) \) None None 110.2.b.b \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(1-i)q^{5}-q^{9}-q^{11}+iq^{13}+\cdots\)
880.2.b.f 880.b 5.b $2$ $7.027$ \(\Q(\sqrt{-1}) \) None None 110.2.b.c \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+3iq^{3}+(2+i)q^{5}-iq^{7}-6q^{9}+\cdots\)
880.2.b.g 880.b 5.b $2$ $7.027$ \(\Q(\sqrt{-1}) \) None None 440.2.b.c \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(2-i)q^{5}+iq^{7}+2q^{9}+q^{11}+\cdots\)
880.2.b.h 880.b 5.b $4$ $7.027$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None 55.2.b.a \(0\) \(0\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{3}+(-1+\beta _{3})q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
880.2.b.i 880.b 5.b $4$ $7.027$ \(\Q(\sqrt{-3}, \sqrt{-19})\) None None 220.2.b.b \(0\) \(0\) \(1\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{1}-\beta _{2})q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2}-\beta _{3})q^{7}+\cdots\)
880.2.b.j 880.b 5.b $8$ $7.027$ 8.0.\(\cdots\).2 None None 440.2.b.d \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{4}q^{5}+(\beta _{1}-\beta _{3}-\beta _{4})q^{7}+\cdots\)
880.2.f.a 880.f 44.c $2$ $7.027$ \(\Q(\sqrt{-2}) \) None None 880.2.f.a \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{3}-q^{5}+q^{9}+(-3-\beta )q^{11}+\cdots\)
880.2.f.b 880.f 44.c $2$ $7.027$ \(\Q(\sqrt{-2}) \) None None 880.2.f.a \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{3}-q^{5}+q^{9}+(3-\beta )q^{11}-3\beta q^{13}+\cdots\)
880.2.f.c 880.f 44.c $4$ $7.027$ \(\Q(\sqrt{-2}, \sqrt{3})\) None None 880.2.f.c \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+q^{5}-2\beta _{2}q^{7}+q^{9}+(-2\beta _{1}+\cdots)q^{11}+\cdots\)
880.2.f.d 880.f 44.c $8$ $7.027$ 8.0.170772624.1 None None 880.2.f.d \(0\) \(0\) \(-8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}-q^{5}+\beta _{1}q^{7}+(-1-\beta _{4}+\cdots)q^{9}+\cdots\)
880.2.f.e 880.f 44.c $8$ $7.027$ 8.0.170772624.1 None None 880.2.f.e \(0\) \(0\) \(8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}+q^{5}+\beta _{2}q^{7}+(-1-\beta _{4}+\cdots)q^{9}+\cdots\)
880.2.m.a 880.m 220.g $2$ $7.027$ \(\Q(\sqrt{-11}) \) \(\Q(\sqrt{-11}) \) None 880.2.m.a \(0\) \(-2\) \(-3\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-q^{3}+(-1-\beta )q^{5}-2q^{9}+(-1+2\beta )q^{11}+\cdots\)
880.2.m.b 880.m 220.g $2$ $7.027$ \(\Q(\sqrt{-11}) \) \(\Q(\sqrt{-11}) \) None 880.2.m.a \(0\) \(2\) \(-3\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+q^{3}+(-1-\beta )q^{5}-2q^{9}+(1-2\beta )q^{11}+\cdots\)
880.2.m.c 880.m 220.g $4$ $7.027$ \(\Q(\sqrt{-3}, \sqrt{-11})\) \(\Q(\sqrt{-11}) \) None 880.2.m.c \(0\) \(-2\) \(3\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(\beta _{1}+\beta _{3})q^{3}+(1-\beta _{2}+\beta _{3})q^{5}+(5+\cdots)q^{9}+\cdots\)
880.2.m.d 880.m 220.g $4$ $7.027$ \(\Q(\sqrt{-3}, \sqrt{-11})\) \(\Q(\sqrt{-11}) \) None 880.2.m.c \(0\) \(2\) \(3\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(-\beta _{1}-\beta _{3})q^{3}+(1-\beta _{2}+\beta _{3})q^{5}+\cdots\)
880.2.m.e 880.m 220.g $8$ $7.027$ 8.0.303595776.1 None None 880.2.m.e \(0\) \(0\) \(-16\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+(-2+\beta _{2})q^{5}+\beta _{5}q^{7}+\beta _{6}q^{11}+\cdots\)
880.2.m.f 880.m 220.g $8$ $7.027$ \(\Q(\zeta_{24})\) None None 880.2.m.f \(0\) \(0\) \(8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1-\zeta_{24})q^{5}+\zeta_{24}^{2}q^{7}-3q^{9}+\zeta_{24}^{5}q^{11}+\cdots\)
880.2.m.g 880.m 220.g $8$ $7.027$ 8.0.3317760000.9 None None 880.2.m.g \(0\) \(0\) \(8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{7}q^{3}+(1-\beta _{2})q^{5}-\beta _{4}q^{7}+3q^{9}+\cdots\)
880.2.s.a 880.s 80.j $4$ $7.027$ \(\Q(\zeta_{8})\) None None 880.2.s.a \(0\) \(0\) \(-8\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+(\zeta_{8}-\zeta_{8}^{3})q^{2}+(\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\cdots\)
880.2.s.b 880.s 80.j $236$ $7.027$ None None 880.2.s.b \(0\) \(0\) \(8\) \(-4\) $\mathrm{SU}(2)[C_{4}]$
880.2.t.a 880.t 880.t $8$ $7.027$ 8.0.40960000.1 None None 880.2.t.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-\beta _{1}+\beta _{6})q^{2}+\beta _{3}q^{3}+2q^{4}+\beta _{4}q^{5}+\cdots\)
880.2.t.b 880.t 880.t $272$ $7.027$ None None 880.2.t.b \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{4}]$
880.2.v.a 880.v 176.i $192$ $7.027$ None None 880.2.v.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
880.2.w.a 880.w 16.e $72$ $7.027$ None None 880.2.w.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
Next   displayed columns for results