Learn more

Refine search


Results (1-50 of 302 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
64.2.a.a 64.a 1.a $1$ $0.511$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(2\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q+2q^{5}-3q^{9}-6q^{13}+2q^{17}-q^{25}+\cdots\)
64.2.b.a 64.b 8.b $2$ $0.511$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+iq^{3}-q^{9}-3iq^{11}-6q^{17}+iq^{19}+\cdots\)
64.2.e.a 64.e 16.e $2$ $0.511$ \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1-i)q^{3}+(-1-i)q^{5}+2iq^{7}+\cdots\)
64.2.i.a 64.i 64.i $56$ $0.511$ None \(-8\) \(-8\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
64.3.c.a 64.c 4.b $1$ $1.744$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(6\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+6q^{5}+9q^{9}-10q^{13}-30q^{17}+\cdots\)
64.3.c.b 64.c 4.b $2$ $1.744$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}-2q^{5}+2iq^{7}-7q^{9}-iq^{11}+\cdots\)
64.3.d.a 64.d 8.d $4$ $1.744$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}q^{3}-\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+3q^{9}+\cdots\)
64.3.f.a 64.f 16.f $6$ $1.744$ 6.0.399424.1 None \(0\) \(2\) \(-2\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{5}q^{3}+(-1-\beta _{1}-\beta _{3}-\beta _{5})q^{5}+\cdots\)
64.3.j.a 64.j 64.j $120$ $1.744$ None \(-8\) \(-8\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
64.4.a.a 64.a 1.a $1$ $3.776$ \(\Q\) None \(0\) \(-8\) \(10\) \(16\) $+$ $\mathrm{SU}(2)$ \(q-8q^{3}+10q^{5}+2^{4}q^{7}+37q^{9}+40q^{11}+\cdots\)
64.4.a.b 64.a 1.a $1$ $3.776$ \(\Q\) None \(0\) \(-4\) \(2\) \(-24\) $-$ $\mathrm{SU}(2)$ \(q-4q^{3}+2q^{5}-24q^{7}-11q^{9}-44q^{11}+\cdots\)
64.4.a.c 64.a 1.a $1$ $3.776$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-22\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q-22q^{5}-3^{3}q^{9}+18q^{13}-94q^{17}+\cdots\)
64.4.a.d 64.a 1.a $1$ $3.776$ \(\Q\) None \(0\) \(4\) \(2\) \(24\) $+$ $\mathrm{SU}(2)$ \(q+4q^{3}+2q^{5}+24q^{7}-11q^{9}+44q^{11}+\cdots\)
64.4.a.e 64.a 1.a $1$ $3.776$ \(\Q\) None \(0\) \(8\) \(10\) \(-16\) $+$ $\mathrm{SU}(2)$ \(q+8q^{3}+10q^{5}-2^{4}q^{7}+37q^{9}-40q^{11}+\cdots\)
64.4.b.a 64.b 8.b $2$ $3.776$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+5iq^{3}-73q^{9}+9iq^{11}+90q^{17}+\cdots\)
64.4.b.b 64.b 8.b $4$ $3.776$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}q^{3}-\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{7}+23q^{9}+\cdots\)
64.4.e.a 64.e 16.e $10$ $3.776$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{5}q^{3}+\beta _{3}q^{5}+(3\beta _{1}-\beta _{4})q^{7}+(5\beta _{1}+\cdots)q^{9}+\cdots\)
64.4.i.a 64.i 64.i $184$ $3.776$ None \(-8\) \(-8\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
64.5.c.a 64.c 4.b $1$ $6.616$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(14\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+14q^{5}+3^{4}q^{9}+238q^{13}+322q^{17}+\cdots\)
64.5.c.b 64.c 4.b $2$ $6.616$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-52\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}-26q^{5}-22iq^{7}+65q^{9}+\cdots\)
64.5.c.c 64.c 4.b $2$ $6.616$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(-36\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{6}q^{3}-18q^{5}-2\zeta_{6}q^{7}-111q^{9}+\cdots\)
64.5.c.d 64.c 4.b $2$ $6.616$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(76\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+3iq^{3}+38q^{5}-2iq^{7}-63q^{9}+\cdots\)
64.5.d.a 64.d 8.d $4$ $6.616$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}q^{3}-3\zeta_{12}^{2}q^{5}+5\zeta_{12}^{3}q^{7}+\cdots\)
64.5.d.b 64.d 8.d $4$ $6.616$ \(\Q(i, \sqrt{51})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}-\beta _{3}q^{5}+7\beta _{2}q^{7}+123q^{9}+\cdots\)
64.5.f.a 64.f 16.f $14$ $6.616$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(0\) \(2\) \(-2\) \(4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{2}q^{3}+\beta _{3}q^{5}+\beta _{9}q^{7}+(19\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
64.5.j.a 64.j 64.j $248$ $6.616$ None \(-8\) \(-8\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
64.6.a.a 64.a 1.a $1$ $10.265$ \(\Q\) None \(0\) \(-20\) \(74\) \(-24\) $+$ $\mathrm{SU}(2)$ \(q-20q^{3}+74q^{5}-24q^{7}+157q^{9}+\cdots\)
64.6.a.b 64.a 1.a $1$ $10.265$ \(\Q\) None \(0\) \(-12\) \(-54\) \(88\) $-$ $\mathrm{SU}(2)$ \(q-12q^{3}-54q^{5}+88q^{7}-99q^{9}+\cdots\)
64.6.a.c 64.a 1.a $1$ $10.265$ \(\Q\) None \(0\) \(-8\) \(-14\) \(208\) $+$ $\mathrm{SU}(2)$ \(q-8q^{3}-14q^{5}+208q^{7}-179q^{9}+\cdots\)
64.6.a.d 64.a 1.a $1$ $10.265$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(82\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q+82q^{5}-3^{5}q^{9}+1194q^{13}+2242q^{17}+\cdots\)
64.6.a.e 64.a 1.a $1$ $10.265$ \(\Q\) None \(0\) \(8\) \(-14\) \(-208\) $+$ $\mathrm{SU}(2)$ \(q+8q^{3}-14q^{5}-208q^{7}-179q^{9}+\cdots\)
64.6.a.f 64.a 1.a $1$ $10.265$ \(\Q\) None \(0\) \(12\) \(-54\) \(-88\) $+$ $\mathrm{SU}(2)$ \(q+12q^{3}-54q^{5}-88q^{7}-99q^{9}+\cdots\)
64.6.a.g 64.a 1.a $1$ $10.265$ \(\Q\) None \(0\) \(20\) \(74\) \(24\) $-$ $\mathrm{SU}(2)$ \(q+20q^{3}+74q^{5}+24q^{7}+157q^{9}+\cdots\)
64.6.a.h 64.a 1.a $2$ $10.265$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-92\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-46q^{5}+6\beta q^{7}+525q^{9}+\cdots\)
64.6.b.a 64.b 8.b $2$ $10.265$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+iq^{3}+239q^{9}+237iq^{11}+1914q^{17}+\cdots\)
64.6.b.b 64.b 8.b $8$ $10.265$ 8.0.\(\cdots\).15 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}+\beta _{1}q^{5}-\beta _{6}q^{7}+(-161+\cdots)q^{9}+\cdots\)
64.6.e.a 64.e 16.e $18$ $10.265$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(2\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{6}q^{3}-\beta _{5}q^{5}+(-11\beta _{1}+\beta _{4})q^{7}+\cdots\)
64.6.i.a 64.i 64.i $312$ $10.265$ None \(-8\) \(-8\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
64.7.c.a 64.c 4.b $1$ $14.723$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-234\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-234q^{5}+3^{6}q^{9}+4070q^{13}-990q^{17}+\cdots\)
64.7.c.b 64.c 4.b $2$ $14.723$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-100\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}-50q^{5}-46iq^{7}+713q^{9}+\cdots\)
64.7.c.c 64.c 4.b $2$ $14.723$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(-20\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta q^{3}-10q^{5}-10\beta q^{7}-231q^{9}+\cdots\)
64.7.c.d 64.c 4.b $2$ $14.723$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(300\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{6}q^{3}+150q^{5}+22\zeta_{6}q^{7}-39q^{9}+\cdots\)
64.7.c.e 64.c 4.b $4$ $14.723$ \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(56\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+(14+\beta _{3})q^{5}+(-2\beta _{1}+5\beta _{2}+\cdots)q^{7}+\cdots\)
64.7.d.a 64.d 8.d $4$ $14.723$ \(\Q(i, \sqrt{11})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}-5\beta _{3}q^{5}-11\beta _{2}q^{7}-333q^{9}+\cdots\)
64.7.d.b 64.d 8.d $8$ $14.723$ 8.0.\(\cdots\).9 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{3}-\beta _{3}q^{5}+(-\beta _{6}+\beta _{7})q^{7}+\cdots\)
64.7.f.a 64.f 16.f $22$ $14.723$ None \(0\) \(2\) \(-2\) \(4\) $\mathrm{SU}(2)[C_{4}]$
64.7.j.a 64.j 64.j $376$ $14.723$ None \(-8\) \(-8\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{16}]$
64.8.a.a 64.a 1.a $1$ $19.993$ \(\Q\) None \(0\) \(-84\) \(82\) \(456\) $-$ $\mathrm{SU}(2)$ \(q-84q^{3}+82q^{5}+456q^{7}+4869q^{9}+\cdots\)
64.8.a.b 64.a 1.a $1$ $19.993$ \(\Q\) None \(0\) \(-44\) \(-430\) \(-1224\) $+$ $\mathrm{SU}(2)$ \(q-44q^{3}-430q^{5}-1224q^{7}-251q^{9}+\cdots\)
64.8.a.c 64.a 1.a $1$ $19.993$ \(\Q\) None \(0\) \(-12\) \(210\) \(1016\) $+$ $\mathrm{SU}(2)$ \(q-12q^{3}+210q^{5}+1016q^{7}-2043q^{9}+\cdots\)
Next   Download to