Learn more

Refine search


Results (1-50 of 315 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
240.1.bm.a 240.bm 240.am $4$ $0.120$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}+\cdots\)
240.2.a.a 240.a 1.a $1$ $1.916$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-4q^{7}+q^{9}-6q^{13}+q^{15}+\cdots\)
240.2.a.b 240.a 1.a $1$ $1.916$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
240.2.a.c 240.a 1.a $1$ $1.916$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
240.2.a.d 240.a 1.a $1$ $1.916$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
240.2.f.a 240.f 5.b $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(-2+i)q^{5}+2iq^{7}-q^{9}+\cdots\)
240.2.f.b 240.f 5.b $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(1-2i)q^{5}-4iq^{7}-q^{9}+\cdots\)
240.2.f.c 240.f 5.b $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}-2q^{11}+\cdots\)
240.2.h.a 240.h 12.b $4$ $1.916$ \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(\beta _{1}+\beta _{3})q^{7}+3\beta _{2}q^{9}+\cdots\)
240.2.h.b 240.h 12.b $4$ $1.916$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+2\zeta_{12}^{2}q^{7}+\cdots\)
240.2.o.a 240.o 60.h $4$ $1.916$ \(\Q(\sqrt{2}, \sqrt{-5})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(\beta _{1}-\beta _{3})q^{7}+(-2+\cdots)q^{9}+\cdots\)
240.2.o.b 240.o 60.h $8$ $1.916$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{24}^{2}q^{3}-\zeta_{24}q^{5}+(1-\zeta_{24}+\zeta_{24}^{4}+\cdots)q^{9}+\cdots\)
240.2.s.a 240.s 16.e $4$ $1.916$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-\zeta_{8}+\zeta_{8}^{3})q^{2}+\zeta_{8}^{3}q^{3}+2q^{4}+\cdots\)
240.2.s.b 240.s 16.e $8$ $1.916$ 8.0.18939904.2 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-\beta _{4}+\beta _{5})q^{2}-\beta _{6}q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)
240.2.s.c 240.s 16.e $20$ $1.916$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{1}q^{2}-\beta _{4}q^{3}+\beta _{2}q^{4}+\beta _{5}q^{5}+\cdots\)
240.2.t.a 240.t 240.t $8$ $1.916$ 8.0.3317760000.5 \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{4}]$ \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{5})q^{3}+\beta _{2}q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots\)
240.2.t.b 240.t 240.t $80$ $1.916$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
240.2.v.a 240.v 15.e $4$ $1.916$ \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(4\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1+\zeta_{8}^{2})q^{3}+(1+2\zeta_{8})q^{5}+(1+\cdots)q^{7}+\cdots\)
240.2.v.b 240.v 15.e $4$ $1.916$ \(\Q(i, \sqrt{5})\) None None \(0\) \(-2\) \(0\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1+\beta _{3})q^{3}+(-1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
240.2.v.c 240.v 15.e $4$ $1.916$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-4\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+(\zeta_{8}-\zeta_{8}^{3})q^{3}+(-1-2\zeta_{8})q^{5}+(1+\cdots)q^{7}+\cdots\)
240.2.v.d 240.v 15.e $4$ $1.916$ \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(-12\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
240.2.v.e 240.v 15.e $4$ $1.916$ \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(-2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
240.2.w.a 240.w 20.e $4$ $1.916$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-8\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{8}q^{3}+(-2+\zeta_{8}^{2})q^{5}+4\zeta_{8}^{3}q^{7}+\cdots\)
240.2.w.b 240.w 20.e $8$ $1.916$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(8\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\zeta_{24}^{5}q^{3}+(1+\zeta_{24}^{2}-\zeta_{24}^{3})q^{5}+\cdots\)
240.2.y.a 240.y 80.s $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(-2\) \(-2\) \(-2\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1-i)q^{2}-q^{3}+2iq^{4}+(-1+\cdots)q^{5}+\cdots\)
240.2.y.b 240.y 80.s $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(-2\) \(2\) \(-2\) \(6\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1-i)q^{2}+q^{3}+2iq^{4}+(-1+\cdots)q^{5}+\cdots\)
240.2.y.c 240.y 80.s $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(2\) \(-2\) \(2\) \(6\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1+i)q^{2}-q^{3}+2iq^{4}+(1-2i)q^{5}+\cdots\)
240.2.y.d 240.y 80.s $6$ $1.916$ 6.0.399424.1 None None \(0\) \(6\) \(6\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{3}q^{2}+q^{3}+(-\beta _{1}-\beta _{5})q^{4}+(1+\cdots)q^{5}+\cdots\)
240.2.y.e 240.y 80.s $16$ $1.916$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(2\) \(16\) \(-4\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{7}q^{2}+q^{3}+(-1+\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
240.2.y.f 240.y 80.s $20$ $1.916$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(-20\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{13}q^{2}-q^{3}-\beta _{3}q^{4}+\beta _{7}q^{5}-\beta _{13}q^{6}+\cdots\)
240.2.bb.a 240.bb 240.ab $88$ $1.916$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
240.2.bc.a 240.bc 80.j $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(-2\) \(0\) \(-4\) \(6\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1-i)q^{2}-iq^{3}+2iq^{4}+(-2+\cdots)q^{5}+\cdots\)
240.2.bc.b 240.bc 80.j $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(-2\) \(0\) \(-4\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-1-i)q^{2}+iq^{3}+2iq^{4}+(-2+\cdots)q^{5}+\cdots\)
240.2.bc.c 240.bc 80.j $2$ $1.916$ \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(-4\) \(6\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1+i)q^{2}+iq^{3}+2iq^{4}+(-2-i)q^{5}+\cdots\)
240.2.bc.d 240.bc 80.j $6$ $1.916$ 6.0.399424.1 None None \(-2\) \(0\) \(12\) \(-2\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{2}-\beta _{3})q^{4}+(2+\cdots)q^{5}+\cdots\)
240.2.bc.e 240.bc 80.j $16$ $1.916$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(2\) \(0\) \(-8\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{2}q^{2}-\beta _{5}q^{3}+(-\beta _{1}+2\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
240.2.bc.f 240.bc 80.j $20$ $1.916$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(2\) \(0\) \(8\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+\beta _{2}q^{4}-\beta _{15}q^{5}+\cdots\)
240.2.bf.a 240.bf 240.af $88$ $1.916$ None None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
240.2.bk.a 240.bk 48.k $4$ $1.916$ \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(-16\) $\mathrm{SU}(2)[C_{4}]$ \(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+\cdots\)
240.2.bk.b 240.bk 48.k $60$ $1.916$ None None \(0\) \(4\) \(0\) \(16\) $\mathrm{SU}(2)[C_{4}]$
240.2.bl.a 240.bl 80.q $48$ $1.916$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
240.3.c.a 240.c 15.d $1$ $6.540$ \(\Q\) \(\Q(\sqrt{-15}) \) None \(0\) \(-3\) \(-5\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-3q^{3}-5q^{5}+9q^{9}+15q^{15}+14q^{17}+\cdots\)
240.3.c.b 240.c 15.d $1$ $6.540$ \(\Q\) \(\Q(\sqrt{-15}) \) None \(0\) \(3\) \(5\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+3q^{3}+5q^{5}+9q^{9}+15q^{15}-14q^{17}+\cdots\)
240.3.c.c 240.c 15.d $4$ $6.540$ \(\Q(\sqrt{2}, \sqrt{-17})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+(2\beta _{2}+\beta _{3})q^{5}+(-2\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
240.3.c.d 240.c 15.d $4$ $6.540$ \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}+(\beta _{1}-\beta _{3})q^{5}+(-2\beta _{2}+2\beta _{3})q^{7}+\cdots\)
240.3.c.e 240.c 15.d $12$ $6.540$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+\beta _{7}q^{5}-\beta _{9}q^{7}+(1-\beta _{4}+\cdots)q^{9}+\cdots\)
240.3.e.a 240.e 4.b $4$ $6.540$ \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{3}-\beta _{1}q^{5}+(-2\beta _{2}+2\beta _{3})q^{7}+\cdots\)
240.3.e.b 240.e 4.b $4$ $6.540$ \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{3}-\beta _{1}q^{5}+(-2\beta _{2}-2\beta _{3})q^{7}+\cdots\)
240.3.j.a 240.j 20.d $4$ $6.540$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-20\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}q^{3}-5q^{5}-4\zeta_{12}q^{7}+3q^{9}+\cdots\)
240.3.j.b 240.j 20.d $4$ $6.540$ \(\Q(\sqrt{3}, \sqrt{-7})\) None None \(0\) \(0\) \(-8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+(-2+\beta _{2})q^{5}+2\beta _{1}q^{7}+\cdots\)
Next   Download to