Learn more

Refine search


Results (1-50 of 78 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1840.1.g.a 1840.g 115.c $1$ $0.918$ \(\Q\) \(\Q(\sqrt{-115}) \) None \(0\) \(0\) \(-1\) \(-1\) \(q-q^{5}-q^{7}+q^{9}+q^{17}+q^{23}+q^{25}+\cdots\)
1840.1.g.b 1840.g 115.c $1$ $0.918$ \(\Q\) \(\Q(\sqrt{-115}) \) None \(0\) \(0\) \(1\) \(1\) \(q+q^{5}+q^{7}+q^{9}-q^{17}-q^{23}+q^{25}+\cdots\)
1840.1.bq.a 1840.bq 460.n $20$ $0.918$ \(\Q(\zeta_{44})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(2\) \(0\) \(q+(-\zeta_{44}^{7}-\zeta_{44}^{9})q^{3}+\zeta_{44}^{6}q^{5}+\cdots\)
1840.2.a.a 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}-2q^{7}+6q^{9}-3q^{13}+\cdots\)
1840.2.a.b 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+2q^{7}-2q^{9}+q^{13}+q^{15}+\cdots\)
1840.2.a.c 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+4q^{7}-2q^{9}+6q^{11}+\cdots\)
1840.2.a.d 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-3q^{9}-2q^{11}-2q^{13}+\cdots\)
1840.2.a.e 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-3q^{9}-6q^{11}+6q^{13}+\cdots\)
1840.2.a.f 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-3q^{9}+6q^{11}-2q^{13}+\cdots\)
1840.2.a.g 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}-2q^{11}-5q^{13}+\cdots\)
1840.2.a.h 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(1\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+2q^{7}-2q^{9}+4q^{11}+\cdots\)
1840.2.a.i 1840.a 1.a $1$ $14.692$ \(\Q\) None None \(0\) \(3\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}+2q^{7}+6q^{9}+q^{13}+\cdots\)
1840.2.a.j 1840.a 1.a $2$ $14.692$ \(\Q(\sqrt{13}) \) None None \(0\) \(-3\) \(2\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+q^{5}+(-2+\beta )q^{7}+\cdots\)
1840.2.a.k 1840.a 1.a $2$ $14.692$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}-2\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots\)
1840.2.a.l 1840.a 1.a $2$ $14.692$ \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
1840.2.a.m 1840.a 1.a $2$ $14.692$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
1840.2.a.n 1840.a 1.a $2$ $14.692$ \(\Q(\sqrt{21}) \) None None \(0\) \(1\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
1840.2.a.o 1840.a 1.a $2$ $14.692$ \(\Q(\sqrt{17}) \) None None \(0\) \(1\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-q^{5}+(1-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
1840.2.a.p 1840.a 1.a $2$ $14.692$ \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+(1+\beta )q^{7}-2q^{9}+(1-\beta )q^{11}+\cdots\)
1840.2.a.q 1840.a 1.a $3$ $14.692$ 3.3.229.1 None None \(0\) \(-2\) \(3\) \(-7\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}+q^{5}+(-2+\beta _{2})q^{7}+\cdots\)
1840.2.a.r 1840.a 1.a $3$ $14.692$ 3.3.1101.1 None None \(0\) \(-1\) \(-3\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots\)
1840.2.a.s 1840.a 1.a $3$ $14.692$ 3.3.2597.1 None None \(0\) \(-1\) \(3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+(-1+\beta _{1})q^{7}+(3+\beta _{2})q^{9}+\cdots\)
1840.2.a.t 1840.a 1.a $3$ $14.692$ 3.3.621.1 None None \(0\) \(0\) \(-3\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(-1-\beta _{1})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
1840.2.a.u 1840.a 1.a $4$ $14.692$ 4.4.15317.1 None None \(0\) \(2\) \(4\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+q^{5}+(1+\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots\)
1840.2.a.v 1840.a 1.a $5$ $14.692$ 5.5.13955077.1 None None \(0\) \(0\) \(-5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(\beta _{3}+\beta _{4})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
1840.2.e.a 1840.e 5.b $2$ $14.692$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{3}+(2+i)q^{5}-3iq^{7}-q^{9}+\cdots\)
1840.2.e.b 1840.e 5.b $2$ $14.692$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{3}+(2+i)q^{5}-iq^{7}-q^{9}-2iq^{13}+\cdots\)
1840.2.e.c 1840.e 5.b $4$ $14.692$ \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+(1+2\beta _{2})q^{5}+(3\beta _{1}+3\beta _{3})q^{7}+\cdots\)
1840.2.e.d 1840.e 5.b $8$ $14.692$ 8.0.527896576.2 None None \(0\) \(0\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-\beta _{1}+\beta _{2}+\beta _{4})q^{3}+(-1-\beta _{6}+\cdots)q^{5}+\cdots\)
1840.2.e.e 1840.e 5.b $8$ $14.692$ 8.0.\(\cdots\).3 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{2}-\beta _{5})q^{3}+(\beta _{3}+\beta _{6})q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
1840.2.e.f 1840.e 5.b $12$ $14.692$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{5}+\beta _{6})q^{3}-\beta _{8}q^{5}+(-\beta _{1}-\beta _{6}+\cdots)q^{7}+\cdots\)
1840.2.e.g 1840.e 5.b $14$ $14.692$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{8}q^{3}-\beta _{5}q^{5}+(\beta _{7}-\beta _{13})q^{7}+(1+\cdots)q^{9}+\cdots\)
1840.2.e.h 1840.e 5.b $16$ $14.692$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{3}-\beta _{10}q^{5}+(-\beta _{2}+\beta _{13})q^{7}+\cdots\)
1840.2.i.a 1840.i 92.b $16$ $14.692$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+\beta _{8}q^{5}+(\beta _{3}-\beta _{10})q^{7}+(-2+\cdots)q^{9}+\cdots\)
1840.2.i.b 1840.i 92.b $16$ $14.692$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{7}q^{3}+\beta _{2}q^{5}+\beta _{13}q^{7}+(-1-\beta _{4}+\cdots)q^{9}+\cdots\)
1840.2.i.c 1840.i 92.b $16$ $14.692$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}+\beta _{5}q^{5}+(-\beta _{10}+\beta _{14})q^{7}+\cdots\)
1840.2.m.a 1840.m 460.g $4$ $14.692$ \(\Q(\sqrt{6}, \sqrt{-14})\) None None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-q^{3}-\beta _{2}q^{5}-2q^{9}+(2\beta _{1}-2\beta _{2}+\cdots)q^{11}+\cdots\)
1840.2.m.b 1840.m 460.g $4$ $14.692$ \(\Q(\sqrt{5}, \sqrt{-23})\) \(\Q(\sqrt{-115}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{5}-\beta _{2}q^{7}-3q^{9}+3\beta _{1}q^{17}+\cdots\)
1840.2.m.c 1840.m 460.g $4$ $14.692$ \(\Q(\sqrt{-2}, \sqrt{-5})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(2\beta _{1}-\beta _{2})q^{3}+\beta _{3}q^{5}+3\beta _{2}q^{7}+\cdots\)
1840.2.m.d 1840.m 460.g $4$ $14.692$ \(\Q(\sqrt{6}, \sqrt{-14})\) None None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+q^{3}+\beta _{2}q^{5}-2q^{9}+(2\beta _{1}-2\beta _{2}+\cdots)q^{11}+\cdots\)
1840.2.m.e 1840.m 460.g $8$ $14.692$ 8.0.\(\cdots\).1 \(\Q(\sqrt{-115}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{5}+\beta _{7}q^{7}-3q^{9}+(-\beta _{1}+\beta _{4}+\cdots)q^{17}+\cdots\)
1840.2.m.f 1840.m 460.g $8$ $14.692$ 8.0.40960000.1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{3}+\beta _{6}q^{5}+2\beta _{5}q^{7}+2q^{9}+\cdots\)
1840.2.m.g 1840.m 460.g $40$ $14.692$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1840.3.c.a 1840.c 4.b $32$ $50.136$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1840.3.c.b 1840.c 4.b $56$ $50.136$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1840.3.k.a 1840.k 23.b $6$ $50.136$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{4}q^{3}-\beta _{3}q^{5}+(\beta _{2}-\beta _{3}+\beta _{5})q^{7}+\cdots\)
1840.3.k.b 1840.k 23.b $10$ $50.136$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{5}q^{3}-\beta _{3}q^{5}+(\beta _{2}+\beta _{3})q^{7}+(-2+\cdots)q^{9}+\cdots\)
1840.3.k.c 1840.k 23.b $16$ $50.136$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{3}q^{3}-\beta _{4}q^{5}-\beta _{7}q^{7}+(4+\beta _{2}+\cdots)q^{9}+\cdots\)
1840.3.k.d 1840.k 23.b $16$ $50.136$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{3}+\beta _{2}q^{5}+(\beta _{1}+\beta _{5})q^{7}+(5+\cdots)q^{9}+\cdots\)
1840.3.k.e 1840.k 23.b $48$ $50.136$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
Next   Download to