Learn more

Refine search


Results (1-50 of 51 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1480.1.h.a 1480.h 1480.h $1$ $0.739$ \(\Q\) \(\Q(\sqrt{-370}) \) None 1480.1.h.a \(-1\) \(0\) \(-1\) \(-1\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{9}+\cdots\)
1480.1.h.b 1480.h 1480.h $1$ $0.739$ \(\Q\) \(\Q(\sqrt{-370}) \) None 1480.1.h.a \(-1\) \(0\) \(1\) \(1\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}+q^{9}+\cdots\)
1480.1.h.c 1480.h 1480.h $1$ $0.739$ \(\Q\) \(\Q(\sqrt{-370}) \) None 1480.1.h.a \(1\) \(0\) \(-1\) \(1\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}+q^{9}+\cdots\)
1480.1.h.d 1480.h 1480.h $1$ $0.739$ \(\Q\) \(\Q(\sqrt{-370}) \) None 1480.1.h.a \(1\) \(0\) \(1\) \(-1\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
1480.1.h.e 1480.h 1480.h $2$ $0.739$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-74}) \) \(\Q(\sqrt{185}) \) 1480.1.h.e \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}-iq^{5}+iq^{8}+q^{9}-q^{10}+\cdots\)
1480.1.h.f 1480.h 1480.h $8$ $0.739$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-74}) \) None 1480.1.h.f \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{20}^{5}q^{2}+(\zeta_{20}^{2}+\zeta_{20}^{8})q^{3}-q^{4}+\cdots\)
1480.1.v.a 1480.v 1480.v $4$ $0.739$ \(\Q(\zeta_{8})\) None None 1480.1.v.a \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\zeta_{8}q^{5}+\zeta_{8}q^{7}+q^{8}+\cdots\)
1480.1.bc.a 1480.bc 1480.ac $4$ $0.739$ \(\Q(\zeta_{8})\) None None 1480.1.v.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+\zeta_{8}^{3}q^{7}+\cdots\)
1480.1.by.a 1480.by 1480.ay $2$ $0.739$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None 1480.1.by.a \(-1\) \(0\) \(-1\) \(-2\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\cdots\)
1480.1.by.b 1480.by 1480.ay $2$ $0.739$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-10}) \) None 1480.1.by.a \(1\) \(0\) \(1\) \(2\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}^{2}q^{7}+\cdots\)
1480.1.bz.a 1480.bz 1480.az $4$ $0.739$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-10}) \) None 1480.1.bz.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{8}+\cdots\)
1480.1.cm.a 1480.cm 1480.bm $8$ $0.739$ \(\Q(\zeta_{24})\) None None 1480.1.cm.a \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{24}q^{2}-\zeta_{24}^{11}q^{3}+\zeta_{24}^{2}q^{4}+\cdots\)
1480.1.de.a 1480.de 1480.ce $6$ $0.739$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-10}) \) None 1480.1.de.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}+\zeta_{18}^{2}q^{5}+\cdots\)
1480.1.de.b 1480.de 1480.ce $6$ $0.739$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-10}) \) None 1480.1.de.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}-\zeta_{18}^{2}q^{5}+\cdots\)
1480.1.dj.a 1480.dj 1480.cj $12$ $0.739$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-10}) \) None 1480.1.dj.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{7}q^{2}+\zeta_{36}^{14}q^{4}+\zeta_{36}^{17}q^{5}+\cdots\)
1480.2.a.a 1480.a 1.a $1$ $11.818$ \(\Q\) None None 1480.2.a.a \(0\) \(-3\) \(-1\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}-5q^{7}+6q^{9}-3q^{11}+\cdots\)
1480.2.a.b 1480.a 1.a $1$ $11.818$ \(\Q\) None None 1480.2.a.b \(0\) \(-2\) \(1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+2q^{7}+q^{9}-6q^{13}+\cdots\)
1480.2.a.c 1480.a 1.a $1$ $11.818$ \(\Q\) None None 1480.2.a.c \(0\) \(1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}-2q^{9}-3q^{11}+q^{15}+\cdots\)
1480.2.a.d 1480.a 1.a $1$ $11.818$ \(\Q\) None None 1480.2.a.d \(0\) \(2\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+3q^{7}+q^{9}+3q^{11}+\cdots\)
1480.2.a.e 1480.a 1.a $3$ $11.818$ 3.3.316.1 None None 1480.2.a.e \(0\) \(1\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}-\beta _{1}q^{7}+\beta _{2}q^{9}+(-1+\cdots)q^{11}+\cdots\)
1480.2.a.f 1480.a 1.a $3$ $11.818$ 3.3.568.1 None None 1480.2.a.f \(0\) \(1\) \(3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}-\beta _{1}q^{7}+(1+2\beta _{1}+\beta _{2})q^{9}+\cdots\)
1480.2.a.g 1480.a 1.a $5$ $11.818$ 5.5.583504.1 None None 1480.2.a.g \(0\) \(-5\) \(5\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+q^{5}+(-1-\beta _{2}+\beta _{4})q^{7}+\cdots\)
1480.2.a.h 1480.a 1.a $5$ $11.818$ 5.5.935504.1 None None 1480.2.a.h \(0\) \(-1\) \(-5\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+\beta _{3}q^{7}+(\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{9}+\cdots\)
1480.2.a.i 1480.a 1.a $5$ $11.818$ 5.5.6397264.1 None None 1480.2.a.i \(0\) \(0\) \(-5\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}+(1+\beta _{1}-\beta _{3})q^{7}+(1+\cdots)q^{9}+\cdots\)
1480.2.a.j 1480.a 1.a $5$ $11.818$ 5.5.998068.1 None None 1480.2.a.j \(0\) \(1\) \(-5\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{4}q^{3}-q^{5}-\beta _{2}q^{7}+(2-\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
1480.2.a.k 1480.a 1.a $6$ $11.818$ 6.6.693982032.1 None None 1480.2.a.k \(0\) \(1\) \(6\) \(8\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}+(1+\beta _{2})q^{7}+(2+\beta _{3}+\cdots)q^{9}+\cdots\)
1480.2.d.a 1480.d 5.b $2$ $11.818$ \(\Q(\sqrt{-1}) \) None None 1480.2.d.a \(0\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{3}+(-2-i)q^{5}+4iq^{7}-q^{9}+\cdots\)
1480.2.d.b 1480.d 5.b $20$ $11.818$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None 1480.2.d.b \(0\) \(0\) \(4\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{15}q^{5}+(-\beta _{7}+\beta _{8})q^{7}+\cdots\)
1480.2.d.c 1480.d 5.b $32$ $11.818$ None None 1480.2.d.c \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1480.2.e.a 1480.e 185.d $4$ $11.818$ \(\Q(\sqrt{-2}, \sqrt{5})\) None None 1480.2.e.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots\)
1480.2.e.b 1480.e 185.d $4$ $11.818$ \(\Q(\sqrt{-2}, \sqrt{5})\) None None 1480.2.e.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+\beta _{3}q^{7}+\beta _{2}q^{9}+\cdots\)
1480.2.e.c 1480.e 185.d $24$ $11.818$ None None 1480.2.e.c \(0\) \(0\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1480.2.e.d 1480.e 185.d $24$ $11.818$ None None 1480.2.e.c \(0\) \(0\) \(3\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1480.2.p.a 1480.p 37.b $2$ $11.818$ \(\Q(\sqrt{-1}) \) None None 1480.2.p.a \(0\) \(4\) \(0\) \(8\) $\mathrm{SU}(2)[C_{2}]$ \(q+2q^{3}-iq^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
1480.2.p.b 1480.p 37.b $4$ $11.818$ \(\Q(i, \sqrt{33})\) None None 1480.2.p.b \(0\) \(2\) \(0\) \(4\) $\mathrm{SU}(2)[C_{2}]$ \(q+(1-\beta _{3})q^{3}-\beta _{2}q^{5}+q^{7}+(6-\beta _{3})q^{9}+\cdots\)
1480.2.p.c 1480.p 37.b $12$ $11.818$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None 1480.2.p.c \(0\) \(-6\) \(0\) \(-10\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-1-\beta _{3})q^{3}+\beta _{7}q^{5}+(-2-\beta _{3}+\cdots)q^{7}+\cdots\)
1480.2.p.d 1480.p 37.b $20$ $11.818$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None 1480.2.p.d \(0\) \(-4\) \(0\) \(6\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{16}q^{3}+\beta _{11}q^{5}-\beta _{8}q^{7}+(1-\beta _{2}+\cdots)q^{9}+\cdots\)
1480.2.q.a 1480.q 37.c $18$ $11.818$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None 1480.2.q.a \(0\) \(2\) \(-9\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-\beta _{1}-\beta _{3})q^{3}+(-1+\beta _{13})q^{5}+\cdots\)
1480.2.q.b 1480.q 37.c $18$ $11.818$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None 1480.2.q.b \(0\) \(2\) \(9\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+\beta _{1}q^{3}+(1+\beta _{5})q^{5}-\beta _{8}q^{7}+(-\beta _{4}+\cdots)q^{9}+\cdots\)
1480.2.q.c 1480.q 37.c $20$ $11.818$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None 1480.2.q.c \(0\) \(0\) \(-10\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(\beta _{1}+\beta _{3})q^{3}+(-1-\beta _{5})q^{5}+\beta _{4}q^{7}+\cdots\)
1480.2.q.d 1480.q 37.c $20$ $11.818$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None 1480.2.q.d \(0\) \(0\) \(10\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-\beta _{6}q^{3}-\beta _{3}q^{5}+\beta _{15}q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots\)
1480.2.br.a 1480.br 37.e $36$ $11.818$ None None 1480.2.br.a \(0\) \(0\) \(0\) \(4\) $\mathrm{SU}(2)[C_{6}]$
1480.2.br.b 1480.br 37.e $40$ $11.818$ None None 1480.2.br.b \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
1480.4.a.a 1480.a 1.a $12$ $87.323$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None 1480.4.a.a \(0\) \(-3\) \(60\) \(-30\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+5q^{5}+(-3+\beta _{1}-\beta _{5})q^{7}+\cdots\)
1480.4.a.b 1480.a 1.a $12$ $87.323$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None 1480.4.a.b \(0\) \(-1\) \(-60\) \(10\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-5q^{5}+(1+\beta _{5})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
1480.4.a.c 1480.a 1.a $13$ $87.323$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None 1480.4.a.c \(0\) \(3\) \(-65\) \(18\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-5q^{5}+(1-\beta _{6})q^{7}+(7-\beta _{1}+\cdots)q^{9}+\cdots\)
1480.4.a.d 1480.a 1.a $13$ $87.323$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None 1480.4.a.d \(0\) \(9\) \(-65\) \(11\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}-5q^{5}+(1+\beta _{5})q^{7}+(10+\cdots)q^{9}+\cdots\)
1480.4.a.e 1480.a 1.a $13$ $87.323$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None 1480.4.a.e \(0\) \(11\) \(65\) \(9\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+5q^{5}+(1+\beta _{7})q^{7}+(12+\cdots)q^{9}+\cdots\)
1480.4.a.f 1480.a 1.a $14$ $87.323$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None 1480.4.a.f \(0\) \(-13\) \(70\) \(-40\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+5q^{5}+(-3-\beta _{4}+\cdots)q^{7}+\cdots\)
1480.4.a.g 1480.a 1.a $15$ $87.323$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None 1480.4.a.g \(0\) \(-13\) \(-75\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}-5q^{5}-\beta _{3}q^{7}+(8+\cdots)q^{9}+\cdots\)
Next   displayed columns for results