Learn more

Refine search


Results (1-50 of 99 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2320.1.h.a 2320.h 580.e $1$ $1.158$ \(\Q\) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-145}) \) \(\Q(\sqrt{29}) \) \(0\) \(0\) \(-1\) \(-2\) \(q-q^{5}-2q^{7}+q^{9}+2q^{23}+q^{25}+\cdots\)
2320.1.h.b 2320.h 580.e $1$ $1.158$ \(\Q\) \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-145}) \) \(\Q(\sqrt{29}) \) \(0\) \(0\) \(-1\) \(2\) \(q-q^{5}+2q^{7}+q^{9}-2q^{23}+q^{25}+\cdots\)
2320.1.h.c 2320.h 580.e $1$ $1.158$ \(\Q\) \(\Q(\sqrt{-29}) \), \(\Q(\sqrt{-145}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+q^{5}+q^{9}-2q^{11}+2q^{19}+q^{25}+\cdots\)
2320.1.h.d 2320.h 580.e $1$ $1.158$ \(\Q\) \(\Q(\sqrt{-29}) \), \(\Q(\sqrt{-145}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+q^{5}+q^{9}+2q^{11}-2q^{19}+q^{25}+\cdots\)
2320.1.h.e 2320.h 580.e $2$ $1.158$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-29}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
2320.1.h.f 2320.h 580.e $2$ $1.158$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-29}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
2320.1.v.a 2320.v 580.i $2$ $1.158$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}+q^{9}+(1+i)q^{13}-iq^{17}+\cdots\)
2320.1.bj.a 2320.bj 145.f $2$ $1.158$ \(\Q(\sqrt{-1}) \) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}+iq^{9}+(1+i)q^{11}+(1+i+\cdots)q^{19}+\cdots\)
2320.1.bm.a 2320.bm 145.h $2$ $1.158$ \(\Q(\sqrt{-1}) \) None \(\Q(\sqrt{29}) \) \(0\) \(0\) \(0\) \(2\) \(q+iq^{5}+(1+i)q^{7}-iq^{9}+(1-i)q^{13}+\cdots\)
2320.1.co.a 2320.co 580.t $2$ $1.158$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}-q^{9}+(-1-i)q^{13}-q^{17}+\cdots\)
2320.1.cx.a 2320.cx 580.v $6$ $1.158$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(1\) \(0\) \(q+\zeta_{14}^{3}q^{5}-\zeta_{14}^{6}q^{9}+(-\zeta_{14}^{4}-\zeta_{14}^{5}+\cdots)q^{13}+\cdots\)
2320.1.cx.b 2320.cx 580.v $6$ $1.158$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(1\) \(0\) \(q+\zeta_{14}q^{5}-\zeta_{14}^{6}q^{9}+(\zeta_{14}^{4}+\zeta_{14}^{5}+\cdots)q^{13}+\cdots\)
2320.1.cx.c 2320.cx 580.v $12$ $1.158$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(2\) \(0\) \(q+(\zeta_{28}^{3}+\zeta_{28}^{9})q^{3}-\zeta_{28}^{4}q^{5}+(\zeta_{28}^{5}+\cdots)q^{7}+\cdots\)
2320.1.dd.a 2320.dd 580.y $6$ $1.158$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(1\) \(-5\) \(q+(\zeta_{14}-\zeta_{14}^{5})q^{3}-\zeta_{14}^{2}q^{5}+(-1+\cdots)q^{7}+\cdots\)
2320.1.dd.b 2320.dd 580.y $6$ $1.158$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(1\) \(5\) \(q+(-\zeta_{14}+\zeta_{14}^{5})q^{3}-\zeta_{14}^{2}q^{5}+(1+\cdots)q^{7}+\cdots\)
2320.1.dr.a 2320.dr 580.ad $12$ $1.158$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{28}^{13}q^{5}-\zeta_{28}^{12}q^{9}+(\zeta_{28}^{3}-\zeta_{28}^{8}+\cdots)q^{13}+\cdots\)
2320.1.fg.a 2320.fg 580.am $12$ $1.158$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{28}^{9}q^{5}+\zeta_{28}^{12}q^{9}+(\zeta_{28}-\zeta_{28}^{10}+\cdots)q^{13}+\cdots\)
2320.2.a.a 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-4q^{7}+q^{9}+6q^{13}+\cdots\)
2320.2.a.b 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+4q^{7}+q^{9}-2q^{13}+\cdots\)
2320.2.a.c 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{9}+2q^{11}-2q^{13}+2q^{19}+\cdots\)
2320.2.a.d 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}-2q^{11}-6q^{13}+\cdots\)
2320.2.a.e 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}+6q^{11}+2q^{13}+\cdots\)
2320.2.a.f 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}-2q^{13}-6q^{17}+8q^{19}+\cdots\)
2320.2.a.g 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-3q^{9}+4q^{11}-6q^{13}+\cdots\)
2320.2.a.h 2320.a 1.a $1$ $18.525$ \(\Q\) None None \(0\) \(2\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
2320.2.a.i 2320.a 1.a $2$ $18.525$ \(\Q(\sqrt{13}) \) None None \(0\) \(-1\) \(-2\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-q^{5}+(-3+\beta )q^{7}+\beta q^{9}+\cdots\)
2320.2.a.j 2320.a 1.a $2$ $18.525$ \(\Q(\sqrt{13}) \) None None \(0\) \(-1\) \(2\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(-1-\beta )q^{7}+\beta q^{9}+\cdots\)
2320.2.a.k 2320.a 1.a $2$ $18.525$ \(\Q(\sqrt{2}) \) None None \(0\) \(4\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+(2-\beta )q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
2320.2.a.l 2320.a 1.a $3$ $18.525$ 3.3.621.1 None None \(0\) \(-3\) \(-3\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}-q^{5}+(-1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
2320.2.a.m 2320.a 1.a $3$ $18.525$ 3.3.564.1 None None \(0\) \(-2\) \(-3\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}-q^{5}+(1-\beta _{2})q^{7}+\cdots\)
2320.2.a.n 2320.a 1.a $3$ $18.525$ 3.3.148.1 None None \(0\) \(-2\) \(3\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+q^{5}+(-1-\beta _{1})q^{7}+\cdots\)
2320.2.a.o 2320.a 1.a $3$ $18.525$ 3.3.148.1 None None \(0\) \(-2\) \(3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
2320.2.a.p 2320.a 1.a $3$ $18.525$ 3.3.229.1 None None \(0\) \(-1\) \(-3\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}-q^{5}+(1-\beta _{1})q^{7}+(\beta _{1}-2\beta _{2})q^{9}+\cdots\)
2320.2.a.q 2320.a 1.a $3$ $18.525$ 3.3.469.1 None None \(0\) \(1\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+q^{5}+\beta _{1}q^{7}+(1+\beta _{1}-2\beta _{2})q^{9}+\cdots\)
2320.2.a.r 2320.a 1.a $3$ $18.525$ 3.3.148.1 None None \(0\) \(2\) \(-3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}-q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
2320.2.a.s 2320.a 1.a $3$ $18.525$ 3.3.148.1 None None \(0\) \(2\) \(-3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}-q^{5}+(1-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
2320.2.a.t 2320.a 1.a $3$ $18.525$ 3.3.148.1 None None \(0\) \(2\) \(3\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+q^{5}+(1+\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots\)
2320.2.a.u 2320.a 1.a $5$ $18.525$ 5.5.580484.1 None None \(0\) \(-3\) \(5\) \(-7\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{3})q^{3}+q^{5}+(-1+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
2320.2.a.v 2320.a 1.a $5$ $18.525$ 5.5.3145252.1 None None \(0\) \(1\) \(-5\) \(-7\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{3}-q^{5}+(-1+\beta _{2})q^{7}+(2-\beta _{2}+\cdots)q^{9}+\cdots\)
2320.2.a.w 2320.a 1.a $5$ $18.525$ 5.5.6083172.1 None None \(0\) \(1\) \(5\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(\beta _{2}-\beta _{3})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
2320.2.d.a 2320.d 5.b $2$ $18.525$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(-1+i)q^{5}+iq^{7}-q^{9}+\cdots\)
2320.2.d.b 2320.d 5.b $2$ $18.525$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1+i)q^{5}+iq^{7}+3q^{9}+3iq^{17}+\cdots\)
2320.2.d.c 2320.d 5.b $4$ $18.525$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{3}+(-1+\beta _{1})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
2320.2.d.d 2320.d 5.b $4$ $18.525$ \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{2}q^{7}+(-1+\cdots)q^{9}+\cdots\)
2320.2.d.e 2320.d 5.b $4$ $18.525$ \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{2})q^{5}+\beta _{1}q^{7}+q^{9}+\cdots\)
2320.2.d.f 2320.d 5.b $4$ $18.525$ \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}-\beta _{3}q^{7}+q^{9}+\cdots\)
2320.2.d.g 2320.d 5.b $6$ $18.525$ 6.0.84345856.2 None None \(0\) \(0\) \(3\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}-\beta _{1}q^{5}+(1+\beta _{1}+\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots\)
2320.2.d.h 2320.d 5.b $10$ $18.525$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{7}q^{3}+\beta _{5}q^{5}+(-\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
2320.2.d.i 2320.d 5.b $10$ $18.525$ \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{8}q^{5}+(-\beta _{1}+\beta _{8}+\beta _{9})q^{7}+\cdots\)
2320.2.d.j 2320.d 5.b $16$ $18.525$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{8}q^{5}-\beta _{13}q^{7}+(-1+\beta _{9}+\cdots)q^{9}+\cdots\)
Next   displayed columns for results