Learn more

Refine search


Results (1-50 of 77 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1428.1.b.a 1428.b 1428.b $2$ $0.713$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-21}) \), \(\Q(\sqrt{-119}) \) \(\Q(\sqrt{51}) \) \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}-iq^{3}+q^{4}+iq^{5}+iq^{6}+iq^{7}+\cdots\)
1428.1.b.b 1428.b 1428.b $2$ $0.713$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-21}) \), \(\Q(\sqrt{-119}) \) \(\Q(\sqrt{51}) \) \(2\) \(0\) \(0\) \(0\) \(q+q^{2}-iq^{3}+q^{4}-iq^{5}-iq^{6}+iq^{7}+\cdots\)
1428.1.b.c 1428.b 1428.b $4$ $0.713$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-17}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}^{3}q^{6}+\cdots\)
1428.1.b.d 1428.b 1428.b $4$ $0.713$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-17}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}^{3}q^{6}+\cdots\)
1428.1.b.e 1428.b 1428.b $8$ $0.713$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-119}) \) None \(-2\) \(0\) \(0\) \(0\) \(q+\zeta_{20}^{4}q^{2}-\zeta_{20}q^{3}+\zeta_{20}^{8}q^{4}+(\zeta_{20}^{3}+\cdots)q^{5}+\cdots\)
1428.1.b.f 1428.b 1428.b $8$ $0.713$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-119}) \) None \(2\) \(0\) \(0\) \(0\) \(q+\zeta_{20}^{6}q^{2}-\zeta_{20}q^{3}-\zeta_{20}^{2}q^{4}+(-\zeta_{20}^{3}+\cdots)q^{5}+\cdots\)
1428.1.r.a 1428.r 1428.r $4$ $0.713$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}-\zeta_{8}^{3}q^{6}+\cdots\)
1428.1.r.b 1428.r 1428.r $4$ $0.713$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}^{3}q^{6}+\cdots\)
1428.1.bl.a 1428.bl 1428.al $4$ $0.713$ \(\Q(\zeta_{12})\) None \(\Q(\sqrt{51}) \) \(-2\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
1428.1.bl.b 1428.bl 1428.al $4$ $0.713$ \(\Q(\zeta_{12})\) None \(\Q(\sqrt{51}) \) \(2\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
1428.1.bl.c 1428.bl 1428.al $8$ $0.713$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-17}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}+\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
1428.1.bl.d 1428.bl 1428.al $8$ $0.713$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-17}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{5}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
1428.1.bu.a 1428.bu 1428.au $8$ $0.713$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{6}q^{2}-\zeta_{16}q^{3}-\zeta_{16}^{4}q^{4}+(\zeta_{16}^{3}+\cdots)q^{5}+\cdots\)
1428.1.bu.b 1428.bu 1428.au $8$ $0.713$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{6}q^{2}-\zeta_{16}q^{3}-\zeta_{16}^{4}q^{4}+(-\zeta_{16}^{3}+\cdots)q^{5}+\cdots\)
1428.2.a.a 1428.a 1.a $1$ $11.403$ \(\Q\) None None \(0\) \(-1\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}-q^{7}+q^{9}-5q^{11}+q^{13}+\cdots\)
1428.2.a.b 1428.a 1.a $1$ $11.403$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-7q^{13}+\cdots\)
1428.2.a.c 1428.a 1.a $1$ $11.403$ \(\Q\) None None \(0\) \(-1\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-q^{7}+q^{9}+6q^{13}-2q^{15}+\cdots\)
1428.2.a.d 1428.a 1.a $1$ $11.403$ \(\Q\) None None \(0\) \(1\) \(-3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
1428.2.a.e 1428.a 1.a $1$ $11.403$ \(\Q\) None None \(0\) \(1\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{7}+q^{9}-2q^{13}+2q^{15}+\cdots\)
1428.2.a.f 1428.a 1.a $2$ $11.403$ \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(-4\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-2+\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots\)
1428.2.a.g 1428.a 1.a $2$ $11.403$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
1428.2.a.h 1428.a 1.a $2$ $11.403$ \(\Q(\sqrt{10}) \) None None \(0\) \(2\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+3q^{11}+\cdots\)
1428.2.a.i 1428.a 1.a $2$ $11.403$ \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
1428.2.a.j 1428.a 1.a $3$ $11.403$ 3.3.4764.1 None None \(0\) \(-3\) \(2\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1-\beta _{1})q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
1428.2.d.a 1428.d 17.b $2$ $11.403$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}-iq^{7}-q^{9}+4iq^{11}-2q^{13}+\cdots\)
1428.2.d.b 1428.d 17.b $6$ $11.403$ 6.0.38738176.1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}-\beta _{4}q^{5}-\beta _{1}q^{7}-q^{9}+(-3\beta _{1}+\cdots)q^{11}+\cdots\)
1428.2.d.c 1428.d 17.b $12$ $11.403$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{8}q^{3}+\beta _{1}q^{5}-\beta _{8}q^{7}-q^{9}+(\beta _{2}+\cdots)q^{11}+\cdots\)
1428.2.g.a 1428.g 357.c $48$ $11.403$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1428.2.j.a 1428.j 21.c $22$ $11.403$ None None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$
1428.2.j.b 1428.j 21.c $22$ $11.403$ None None \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$
1428.2.q.a 1428.q 7.c $2$ $11.403$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(0\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}+(-2+3\zeta_{6})q^{7}-\zeta_{6}q^{9}+\cdots\)
1428.2.q.b 1428.q 7.c $2$ $11.403$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(3\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(-1-2\zeta_{6})q^{7}+\cdots\)
1428.2.q.c 1428.q 7.c $2$ $11.403$ \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-3\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots\)
1428.2.q.d 1428.q 7.c $2$ $11.403$ \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-1\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots\)
1428.2.q.e 1428.q 7.c $8$ $11.403$ 8.0.447703281.1 None None \(0\) \(-4\) \(-2\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\beta _{2})q^{3}+(\beta _{1}-\beta _{4})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots\)
1428.2.q.f 1428.q 7.c $8$ $11.403$ 8.0.1767277521.3 None None \(0\) \(4\) \(0\) \(1\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{6}q^{3}+(-1+\beta _{1}-\beta _{4}+\beta _{6})q^{5}+\cdots\)
1428.2.q.g 1428.q 7.c $8$ $11.403$ 8.0.1405125225.1 None None \(0\) \(4\) \(2\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{4}q^{3}+(1-\beta _{4}+\beta _{6}-\beta _{7})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1428.2.q.h 1428.q 7.c $12$ $11.403$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(-6\) \(1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+\beta _{5})q^{3}+\beta _{1}q^{5}+(-\beta _{7}+\beta _{9}+\cdots)q^{7}+\cdots\)
1428.2.u.a 1428.u 357.l $96$ $11.403$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
1428.2.w.a 1428.w 17.c $4$ $11.403$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\zeta_{8}q^{3}+2\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
1428.2.w.b 1428.w 17.c $16$ $11.403$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{7}q^{3}-\beta _{10}q^{5}+\beta _{6}q^{7}+\beta _{13}q^{9}+\cdots\)
1428.2.w.c 1428.w 17.c $20$ $11.403$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{10}q^{3}+(\beta _{7}+\beta _{10})q^{5}+\beta _{12}q^{7}+\cdots\)
1428.2.bd.a 1428.bd 21.g $42$ $11.403$ None None \(0\) \(0\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{6}]$
1428.2.bd.b 1428.bd 21.g $42$ $11.403$ None None \(0\) \(0\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{6}]$
1428.2.bg.a 1428.bg 357.s $96$ $11.403$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
1428.2.bn.a 1428.bn 119.j $4$ $11.403$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}q^{5}+(2\zeta_{12}+\cdots)q^{7}+\cdots\)
1428.2.bn.b 1428.bn 119.j $44$ $11.403$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
1428.2.bo.a 1428.bo 17.d $24$ $11.403$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{8}]$
1428.2.bo.b 1428.bo 17.d $40$ $11.403$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{8}]$
1428.2.cc.a 1428.cc 119.n $8$ $11.403$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-\zeta_{24}^{3}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{7}q^{5}+\cdots\)
Next   Download to