Learn more

Refine search


Results (1-50 of 70 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
476.1.o.a 476.o 476.o $2$ $0.238$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-17}) \) None \(-1\) \(-1\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+q^{6}-q^{7}+\cdots\)
476.1.o.b 476.o 476.o $2$ $0.238$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-17}) \) None \(-1\) \(1\) \(0\) \(2\) \(q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}+q^{7}+\cdots\)
476.1.o.c 476.o 476.o $4$ $0.238$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-17}) \) None \(2\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{2}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{3}+\cdots\)
476.2.a.a 476.a 1.a $2$ $3.801$ \(\Q(\sqrt{13}) \) None None \(0\) \(-3\) \(-3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+(-2+\beta )q^{5}+q^{7}+\cdots\)
476.2.a.b 476.a 1.a $2$ $3.801$ \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-1+\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)
476.2.a.c 476.a 1.a $2$ $3.801$ \(\Q(\sqrt{13}) \) None None \(0\) \(-1\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-\beta )q^{5}-q^{7}+\beta q^{9}+4q^{11}+\cdots\)
476.2.a.d 476.a 1.a $2$ $3.801$ \(\Q(\sqrt{13}) \) None None \(0\) \(1\) \(-1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-1+\beta )q^{5}+q^{7}+\beta q^{9}+\cdots\)
476.2.b.a 476.b 17.b $8$ $3.801$ 8.0.980441344.2 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{4}+\beta _{7})q^{3}+\beta _{3}q^{5}+\beta _{4}q^{7}+(-1+\cdots)q^{9}+\cdots\)
476.2.e.a 476.e 476.e $8$ $3.801$ 8.0.\(\cdots\).12 \(\Q(\sqrt{-17}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{3}q^{2}+(-\beta _{1}-\beta _{4})q^{3}+2q^{4}+(\beta _{5}+\cdots)q^{6}+\cdots\)
476.2.e.b 476.e 476.e $20$ $3.801$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) \(\Q(\sqrt{-119}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{5}q^{2}+\beta _{12}q^{3}+\beta _{8}q^{4}+\beta _{17}q^{5}+\cdots\)
476.2.e.c 476.e 476.e $40$ $3.801$ None None \(-4\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
476.2.f.a 476.f 28.d $64$ $3.801$ None None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
476.2.i.a 476.i 7.c $2$ $3.801$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(4\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots\)
476.2.i.b 476.i 7.c $2$ $3.801$ \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(0\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{3}+(3-2\zeta_{6})q^{7}+2\zeta_{6}q^{9}+\cdots\)
476.2.i.c 476.i 7.c $2$ $3.801$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-4\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(3-3\zeta_{6})q^{3}-4\zeta_{6}q^{5}+(1+2\zeta_{6})q^{7}+\cdots\)
476.2.i.d 476.i 7.c $6$ $3.801$ 6.0.1783323.2 None None \(0\) \(1\) \(2\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{2}+\beta _{4})q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
476.2.i.e 476.i 7.c $8$ $3.801$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(-2\) \(2\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(\beta _{1}-\beta _{2})q^{3}+(-\beta _{1}+\beta _{4})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots\)
476.2.k.a 476.k 476.k $136$ $3.801$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
476.2.l.a 476.l 17.c $16$ $3.801$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(4\) \(4\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{14}q^{3}+(-\beta _{1}+\beta _{5}-\beta _{10})q^{5}+\cdots\)
476.2.p.a 476.p 28.f $128$ $3.801$ None None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
476.2.q.a 476.q 476.q $16$ $3.801$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) \(\Q(\sqrt{-17}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{6}]$ \(q+(-\beta _{4}-\beta _{8})q^{2}+(\beta _{12}-\beta _{14})q^{3}+\cdots\)
476.2.q.b 476.q 476.q $120$ $3.801$ None None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
476.2.t.a 476.t 119.j $24$ $3.801$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
476.2.u.a 476.u 17.d $40$ $3.801$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{8}]$
476.2.w.a 476.w 476.w $272$ $3.801$ None None \(-8\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{8}]$
476.2.z.a 476.z 476.z $272$ $3.801$ None None \(0\) \(0\) \(-12\) \(0\) $\mathrm{SU}(2)[C_{12}]$
476.2.ba.a 476.ba 119.n $48$ $3.801$ None None \(0\) \(0\) \(-2\) \(-2\) $\mathrm{SU}(2)[C_{12}]$
476.2.bd.a 476.bd 68.i $432$ $3.801$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{16}]$
476.2.be.a 476.be 119.p $96$ $3.801$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{16}]$
476.2.bh.a 476.bh 119.q $96$ $3.801$ None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{24}]$
476.2.bj.a 476.bj 476.aj $544$ $3.801$ None None \(-4\) \(0\) \(-24\) \(0\) $\mathrm{SU}(2)[C_{24}]$
476.2.bl.a 476.bl 119.s $192$ $3.801$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{48}]$
476.2.bm.a 476.bm 476.am $1088$ $3.801$ None None \(-8\) \(0\) \(-16\) \(0\) $\mathrm{SU}(2)[C_{48}]$
476.3.c.a 476.c 7.b $20$ $12.970$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(0\) \(0\) \(0\) \(-14\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+\beta _{12}q^{5}+(-1+\beta _{9})q^{7}+\cdots\)
476.3.d.a 476.d 4.b $96$ $12.970$ None None \(2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
476.3.h.a 476.h 119.d $24$ $12.970$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
476.3.j.a 476.j 119.f $48$ $12.970$ None None \(0\) \(0\) \(0\) \(-6\) $\mathrm{SU}(2)[C_{4}]$
476.3.n.a 476.n 119.h $48$ $12.970$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
476.3.s.a 476.s 7.d $44$ $12.970$ None None \(0\) \(-6\) \(0\) \(22\) $\mathrm{SU}(2)[C_{6}]$
476.3.x.a 476.x 119.l $96$ $12.970$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{8}]$
476.3.y.a 476.y 119.m $96$ $12.970$ None None \(0\) \(0\) \(6\) \(6\) $\mathrm{SU}(2)[C_{12}]$
476.4.a.a 476.a 1.a $6$ $28.085$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(-4\) \(-28\) \(42\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}+(-5+\beta _{3})q^{5}+7q^{7}+\cdots\)
476.4.a.b 476.a 1.a $6$ $28.085$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(2\) \(-14\) \(-42\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-2-\beta _{4})q^{5}-7q^{7}+(-4+\cdots)q^{9}+\cdots\)
476.4.a.c 476.a 1.a $6$ $28.085$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(2\) \(10\) \(-42\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(2-\beta _{1}+\beta _{2})q^{5}-7q^{7}+\cdots\)
476.4.a.d 476.a 1.a $6$ $28.085$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(8\) \(16\) \(42\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{3}+(3+\beta _{3})q^{5}+7q^{7}+(15+\cdots)q^{9}+\cdots\)
476.4.b.a 476.b 17.b $28$ $28.085$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
476.4.i.a 476.i 7.c $28$ $28.085$ None None \(0\) \(0\) \(-10\) \(-12\) $\mathrm{SU}(2)[C_{3}]$
476.4.i.b 476.i 7.c $36$ $28.085$ None None \(0\) \(0\) \(-10\) \(-32\) $\mathrm{SU}(2)[C_{3}]$
476.4.l.a 476.l 17.c $56$ $28.085$ None None \(0\) \(4\) \(20\) \(0\) $\mathrm{SU}(2)[C_{4}]$
476.4.t.a 476.t 119.j $72$ $28.085$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
Next   displayed columns for results