Learn more

Refine search


Results (1-50 of 214 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
550.2.a.a 550.a 1.a $1$ $4.392$ \(\Q\) None 550.2.a.a \(-1\) \(-2\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-4q^{7}-q^{8}+\cdots\)
550.2.a.b 550.a 1.a $1$ $4.392$ \(\Q\) None 550.2.a.b \(-1\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
550.2.a.c 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.b.b \(-1\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
550.2.a.d 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.a.c \(-1\) \(-1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
550.2.a.e 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.b.a \(-1\) \(1\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
550.2.a.f 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.a.b \(-1\) \(1\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
550.2.a.g 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.b.c \(-1\) \(3\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}-3q^{6}+q^{7}-q^{8}+\cdots\)
550.2.a.h 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.b.c \(1\) \(-3\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-3q^{3}+q^{4}-3q^{6}-q^{7}+q^{8}+\cdots\)
550.2.a.i 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.a.a \(1\) \(-1\) \(0\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-5q^{7}+q^{8}+\cdots\)
550.2.a.j 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.b.a \(1\) \(-1\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots\)
550.2.a.k 550.a 1.a $1$ $4.392$ \(\Q\) None 110.2.b.b \(1\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
550.2.a.l 550.a 1.a $1$ $4.392$ \(\Q\) None 550.2.a.b \(1\) \(2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
550.2.a.m 550.a 1.a $1$ $4.392$ \(\Q\) None 550.2.a.a \(1\) \(2\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+4q^{7}+q^{8}+\cdots\)
550.2.a.n 550.a 1.a $2$ $4.392$ \(\Q(\sqrt{33}) \) None 110.2.a.d \(2\) \(1\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}-\beta q^{7}+q^{8}+\cdots\)
550.2.b.a 550.b 5.b $2$ $4.392$ \(\Q(\sqrt{-1}) \) None 110.2.a.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+3iq^{7}+\cdots\)
550.2.b.b 550.b 5.b $2$ $4.392$ \(\Q(\sqrt{-1}) \) None 110.2.a.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}-5iq^{7}+\cdots\)
550.2.b.c 550.b 5.b $2$ $4.392$ \(\Q(\sqrt{-1}) \) None 110.2.a.c \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{7}-iq^{8}+\cdots\)
550.2.b.d 550.b 5.b $2$ $4.392$ \(\Q(\sqrt{-1}) \) None 550.2.a.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-2iq^{3}-q^{4}+2q^{6}+4iq^{7}+\cdots\)
550.2.b.e 550.b 5.b $2$ $4.392$ \(\Q(\sqrt{-1}) \) None 550.2.a.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-2iq^{3}-q^{4}+2q^{6}-iq^{8}+\cdots\)
550.2.b.f 550.b 5.b $4$ $4.392$ \(\Q(i, \sqrt{33})\) None 110.2.a.d \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{2}+(\beta _{1}+\beta _{2})q^{3}-q^{4}+\beta _{3}q^{6}+\cdots\)
550.2.f.a 550.f 55.e $4$ $4.392$ \(\Q(\zeta_{8})\) None 110.2.f.b \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{8}q^{2}+(-1-\zeta_{8}-\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{4}+\cdots\)
550.2.f.b 550.f 55.e $4$ $4.392$ \(\Q(\zeta_{8})\) None 110.2.f.b \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{8}q^{2}+(-1+\zeta_{8}-\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{4}+\cdots\)
550.2.f.c 550.f 55.e $4$ $4.392$ \(\Q(\zeta_{8})\) None 110.2.f.a \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{8}q^{2}+(1+\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{4}+(\zeta_{8}+\cdots)q^{6}+\cdots\)
550.2.f.d 550.f 55.e $8$ $4.392$ 8.0.157351936.1 None 550.2.f.d \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{5}q^{2}-\beta _{2}q^{3}+\beta _{3}q^{4}+\beta _{1}q^{6}+\cdots\)
550.2.f.e 550.f 55.e $16$ $4.392$ 16.0.\(\cdots\).1 None 550.2.f.e \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{2}q^{2}+\beta _{14}q^{3}-\beta _{10}q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
550.2.g.a 550.g 275.g $12$ $4.392$ 12.0.\(\cdots\).1 None 550.2.g.a \(3\) \(-2\) \(-5\) \(-7\) $\mathrm{SU}(2)[C_{5}]$ \(q+\beta _{8}q^{2}+(\beta _{5}-\beta _{8}-\beta _{10})q^{3}-\beta _{6}q^{4}+\cdots\)
550.2.g.b 550.g 275.g $48$ $4.392$ None 550.2.g.b \(12\) \(2\) \(-1\) \(4\) $\mathrm{SU}(2)[C_{5}]$
550.2.g.c 550.g 275.g $60$ $4.392$ None 550.2.g.c \(-15\) \(-4\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{5}]$
550.2.h.a 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 550.2.h.a \(-1\) \(-4\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{5}]$ \(q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
550.2.h.b 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 110.2.g.b \(-1\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{5}]$ \(q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
550.2.h.c 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 550.2.h.c \(-1\) \(-2\) \(0\) \(-5\) $\mathrm{SU}(2)[C_{5}]$ \(q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
550.2.h.d 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 110.2.j.a \(-1\) \(6\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{5}]$ \(q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
550.2.h.e 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 110.2.j.a \(1\) \(-6\) \(0\) \(3\) $\mathrm{SU}(2)[C_{5}]$ \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-2\zeta_{10}+\cdots)q^{3}+\cdots\)
550.2.h.f 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 110.2.g.a \(1\) \(-4\) \(0\) \(-1\) $\mathrm{SU}(2)[C_{5}]$ \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-2\zeta_{10}+\cdots)q^{3}+\cdots\)
550.2.h.g 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 550.2.h.c \(1\) \(2\) \(0\) \(5\) $\mathrm{SU}(2)[C_{5}]$ \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots\)
550.2.h.h 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 22.2.c.a \(1\) \(4\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{5}]$ \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots\)
550.2.h.i 550.h 11.c $4$ $4.392$ \(\Q(\zeta_{10})\) None 550.2.h.a \(1\) \(4\) \(0\) \(3\) $\mathrm{SU}(2)[C_{5}]$ \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots\)
550.2.h.j 550.h 11.c $8$ $4.392$ 8.0.\(\cdots\).8 None 110.2.j.b \(-2\) \(-4\) \(0\) \(6\) $\mathrm{SU}(2)[C_{5}]$ \(q+\beta _{2}q^{2}+(-1-\beta _{2}+\beta _{6})q^{3}+\beta _{3}q^{4}+\cdots\)
550.2.h.k 550.h 11.c $8$ $4.392$ 8.0.159390625.1 None 550.2.h.k \(-2\) \(4\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{5}]$ \(q-\beta _{6}q^{2}+(1-\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}+\cdots)q^{3}+\cdots\)
550.2.h.l 550.h 11.c $8$ $4.392$ 8.0.682515625.5 None 110.2.g.c \(-2\) \(4\) \(0\) \(1\) $\mathrm{SU}(2)[C_{5}]$ \(q+(-1+\beta _{2}-\beta _{3}+\beta _{7})q^{2}+(\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
550.2.h.m 550.h 11.c $8$ $4.392$ 8.0.159390625.1 None 550.2.h.k \(2\) \(-4\) \(0\) \(2\) $\mathrm{SU}(2)[C_{5}]$ \(q+\beta _{6}q^{2}+(-1+\beta _{2}+\beta _{3}-\beta _{5}+\beta _{6}+\cdots)q^{3}+\cdots\)
550.2.h.n 550.h 11.c $8$ $4.392$ 8.0.\(\cdots\).8 None 110.2.j.b \(2\) \(4\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{5}]$ \(q-\beta _{2}q^{2}+(1+\beta _{2}-\beta _{6})q^{3}+\beta _{3}q^{4}+\cdots\)
550.2.i.a 550.i 275.l $4$ $4.392$ \(\Q(\zeta_{10})\) None 550.2.i.a \(-4\) \(-3\) \(5\) \(-6\) $\mathrm{SU}(2)[C_{5}]$ \(q-q^{2}+(-1+\zeta_{10}^{3})q^{3}+q^{4}+(2-\zeta_{10}+\cdots)q^{5}+\cdots\)
550.2.i.b 550.i 275.l $4$ $4.392$ \(\Q(\zeta_{10})\) None 550.2.i.b \(-4\) \(-1\) \(-5\) \(-2\) $\mathrm{SU}(2)[C_{5}]$ \(q-q^{2}+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+\cdots\)
550.2.i.c 550.i 275.l $4$ $4.392$ \(\Q(\zeta_{10})\) None 550.2.i.c \(-4\) \(1\) \(0\) \(-1\) $\mathrm{SU}(2)[C_{5}]$ \(q-q^{2}+(-1+2\zeta_{10}-2\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+\cdots\)
550.2.i.d 550.i 275.l $48$ $4.392$ None 550.2.i.d \(-48\) \(8\) \(-6\) \(11\) $\mathrm{SU}(2)[C_{5}]$
550.2.i.e 550.i 275.l $60$ $4.392$ None 550.2.i.e \(60\) \(1\) \(0\) \(2\) $\mathrm{SU}(2)[C_{5}]$
550.2.j.a 550.j 275.j $12$ $4.392$ 12.0.\(\cdots\).1 None 550.2.g.a \(3\) \(-2\) \(0\) \(-7\) $\mathrm{SU}(2)[C_{5}]$ \(q+\beta _{3}q^{2}+(-\beta _{6}-\beta _{9})q^{3}-\beta _{8}q^{4}+\cdots\)
550.2.j.b 550.j 275.j $48$ $4.392$ None 550.2.g.b \(12\) \(7\) \(4\) \(4\) $\mathrm{SU}(2)[C_{5}]$
550.2.j.c 550.j 275.j $60$ $4.392$ None 550.2.g.c \(-15\) \(1\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{5}]$
Next   displayed columns for results