Learn more

Refine search


Results (1-50 of 105 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
608.1.g.a 608.g 152.g $1$ $0.303$ \(\Q\) \(\Q(\sqrt{-38}) \) None 152.1.g.a \(0\) \(-1\) \(0\) \(1\) \(q-q^{3}+q^{7}+q^{13}-q^{17}+q^{19}-q^{21}+\cdots\)
608.1.g.b 608.g 152.g $1$ $0.303$ \(\Q\) \(\Q(\sqrt{-38}) \) None 152.1.g.a \(0\) \(1\) \(0\) \(1\) \(q+q^{3}+q^{7}-q^{13}-q^{17}-q^{19}+q^{21}+\cdots\)
608.1.o.a 608.o 152.k $2$ $0.303$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None 152.1.k.a \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}+q^{11}+\zeta_{6}^{2}q^{17}+\zeta_{6}q^{19}+\cdots\)
608.1.q.a 608.q 76.g $4$ $0.303$ \(\Q(\zeta_{12})\) None None 608.1.q.a \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{5}-\zeta_{12}^{2}q^{13}+\cdots\)
608.1.bg.a 608.bg 152.u $6$ $0.303$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None 152.1.u.a \(0\) \(3\) \(0\) \(0\) \(q+(\zeta_{18}-\zeta_{18}^{6})q^{3}+(\zeta_{18}^{2}-\zeta_{18}^{3}+\cdots)q^{9}+\cdots\)
608.2.a.a 608.a 1.a $1$ $4.855$ \(\Q\) None None 608.2.a.a \(0\) \(-3\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{7}+6q^{9}-2q^{11}-q^{13}+\cdots\)
608.2.a.b 608.a 1.a $1$ $4.855$ \(\Q\) None None 608.2.a.b \(0\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-3q^{9}+3q^{11}-4q^{13}+\cdots\)
608.2.a.c 608.a 1.a $1$ $4.855$ \(\Q\) None None 608.2.a.b \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}-3q^{9}-3q^{11}-4q^{13}+\cdots\)
608.2.a.d 608.a 1.a $1$ $4.855$ \(\Q\) None None 608.2.a.d \(0\) \(0\) \(3\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+3q^{5}-5q^{7}-3q^{9}-5q^{11}-4q^{13}+\cdots\)
608.2.a.e 608.a 1.a $1$ $4.855$ \(\Q\) None None 608.2.a.d \(0\) \(0\) \(3\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+5q^{7}-3q^{9}+5q^{11}-4q^{13}+\cdots\)
608.2.a.f 608.a 1.a $1$ $4.855$ \(\Q\) None None 608.2.a.a \(0\) \(3\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{7}+6q^{9}+2q^{11}-q^{13}+\cdots\)
608.2.a.g 608.a 1.a $2$ $4.855$ \(\Q(\sqrt{17}) \) None None 608.2.a.g \(0\) \(-1\) \(-1\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-1+\beta )q^{5}-3q^{7}+(1+\beta )q^{9}+\cdots\)
608.2.a.h 608.a 1.a $2$ $4.855$ \(\Q(\sqrt{17}) \) None None 608.2.a.g \(0\) \(1\) \(-1\) \(6\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-1+\beta )q^{5}+3q^{7}+(1+\beta )q^{9}+\cdots\)
608.2.a.i 608.a 1.a $4$ $4.855$ 4.4.15317.1 None None 608.2.a.i \(0\) \(-2\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}-\beta _{1}q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots\)
608.2.a.j 608.a 1.a $4$ $4.855$ 4.4.15317.1 None None 608.2.a.i \(0\) \(2\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+\cdots\)
608.2.b.a 608.b 152.b $2$ $4.855$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) None 152.2.b.a \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2\beta q^{3}-5q^{9}-6q^{11}-6q^{17}+(1+\cdots)q^{19}+\cdots\)
608.2.b.b 608.b 152.b $4$ $4.855$ \(\Q(\sqrt{-3}, \sqrt{5})\) None None 152.2.b.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{3}-\beta _{3}q^{7}+4q^{11}+\beta _{1}q^{13}+\cdots\)
608.2.b.c 608.b 152.b $12$ $4.855$ 12.0.\(\cdots\).1 None None 152.2.b.c \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+(-\beta _{3}-\beta _{7})q^{5}-\beta _{7}q^{7}+\cdots\)
608.2.c.a 608.c 8.b $2$ $4.855$ \(\Q(\sqrt{-1}) \) None None 152.2.c.a \(0\) \(0\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{2}]$ \(q-2q^{7}+3q^{9}+4iq^{11}+2iq^{13}+\cdots\)
608.2.c.b 608.c 8.b $16$ $4.855$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None 152.2.c.b \(0\) \(0\) \(0\) \(8\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{3}+(-\beta _{4}-\beta _{5})q^{5}+(1+\beta _{12}+\cdots)q^{7}+\cdots\)
608.2.h.a 608.h 76.d $20$ $4.855$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None 608.2.h.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{4}q^{3}-\beta _{2}q^{5}-\beta _{14}q^{7}+(1-\beta _{7}+\cdots)q^{9}+\cdots\)
608.2.i.a 608.i 19.c $2$ $4.855$ \(\Q(\sqrt{-3}) \) None None 608.2.i.a \(0\) \(-3\) \(-2\) \(-4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-3+3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}+\cdots\)
608.2.i.b 608.i 19.c $2$ $4.855$ \(\Q(\sqrt{-3}) \) None None 608.2.i.a \(0\) \(3\) \(-2\) \(4\) $\mathrm{SU}(2)[C_{3}]$ \(q+(3-3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}+2q^{7}+\cdots\)
608.2.i.c 608.i 19.c $8$ $4.855$ 8.0.\(\cdots\).5 None None 608.2.i.c \(0\) \(-4\) \(2\) \(8\) $\mathrm{SU}(2)[C_{3}]$ \(q+(\beta _{2}-\beta _{4})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots\)
608.2.i.d 608.i 19.c $8$ $4.855$ 8.0.\(\cdots\).1 None None 608.2.i.d \(0\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(\beta _{2}-\beta _{4})q^{3}+\beta _{1}q^{5}+(-2+2\beta _{1}+\cdots)q^{9}+\cdots\)
608.2.i.e 608.i 19.c $8$ $4.855$ 8.0.\(\cdots\).5 None None 608.2.i.c \(0\) \(4\) \(2\) \(-8\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1+\beta _{2}-\beta _{4}+\beta _{6})q^{3}+(1+\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)
608.2.i.f 608.i 19.c $12$ $4.855$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None 608.2.i.f \(0\) \(0\) \(-2\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-\beta _{5}+\beta _{8})q^{3}-\beta _{10}q^{5}+(\beta _{2}-\beta _{5}+\cdots)q^{7}+\cdots\)
608.2.n.a 608.n 76.f $40$ $4.855$ None None 608.2.n.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
608.2.s.a 608.s 152.o $4$ $4.855$ \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-2}) \) None 152.2.o.b \(0\) \(-6\) \(0\) \(0\) $\mathrm{U}(1)[D_{6}]$ \(q+(-2+\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(2-2\beta _{1}+\cdots)q^{9}+\cdots\)
608.2.s.b 608.s 152.o $4$ $4.855$ \(\Q(\sqrt{2}, \sqrt{-3})\) None None 152.2.o.a \(0\) \(6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(2+\beta _{2})q^{3}+(\beta _{1}-\beta _{3})q^{5}+(2\beta _{1}+\beta _{3})q^{7}+\cdots\)
608.2.s.c 608.s 152.o $28$ $4.855$ None None 152.2.o.c \(0\) \(6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{6}]$
608.2.t.a 608.t 152.p $36$ $4.855$ None None 152.2.p.a \(0\) \(0\) \(0\) \(8\) $\mathrm{SU}(2)[C_{6}]$
608.2.u.a 608.u 608.u $312$ $4.855$ None None 608.2.u.a \(0\) \(0\) \(-8\) \(-8\) $\mathrm{SU}(2)[C_{8}]$
608.2.v.a 608.v 32.g $288$ $4.855$ None None 608.2.v.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{8}]$
608.2.y.a 608.y 19.e $24$ $4.855$ None None 608.2.y.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{9}]$
608.2.y.b 608.y 19.e $30$ $4.855$ None None 608.2.y.b \(0\) \(-3\) \(0\) \(12\) $\mathrm{SU}(2)[C_{9}]$
608.2.y.c 608.y 19.e $30$ $4.855$ None None 608.2.y.b \(0\) \(3\) \(0\) \(-12\) $\mathrm{SU}(2)[C_{9}]$
608.2.y.d 608.y 19.e $36$ $4.855$ None None 608.2.y.d \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{9}]$
608.2.bf.a 608.bf 152.t $108$ $4.855$ None None 152.2.t.a \(0\) \(0\) \(0\) \(6\) $\mathrm{SU}(2)[C_{18}]$
608.2.bh.a 608.bh 152.v $12$ $4.855$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-2}) \) None 152.2.v.a \(0\) \(6\) \(0\) \(0\) $\mathrm{U}(1)[D_{18}]$ \(q+(1+\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}-\beta _{8})q^{3}+\cdots\)
608.2.bh.b 608.bh 152.v $96$ $4.855$ None None 152.2.v.b \(0\) \(6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{18}]$
608.2.bi.a 608.bi 76.k $120$ $4.855$ None None 608.2.bi.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{18}]$
608.2.bm.a 608.bm 608.am $624$ $4.855$ None None 608.2.bm.a \(-4\) \(-4\) \(-4\) \(-16\) $\mathrm{SU}(2)[C_{24}]$
608.2.bn.a 608.bn 608.an $624$ $4.855$ None None 608.2.bn.a \(-12\) \(-12\) \(-4\) \(-16\) $\mathrm{SU}(2)[C_{24}]$
608.2.bs.a 608.bs 608.as $1872$ $4.855$ None None 608.2.bs.a \(-24\) \(-24\) \(-24\) \(-12\) $\mathrm{SU}(2)[C_{72}]$
608.2.bt.a 608.bt 608.at $1872$ $4.855$ None None 608.2.bt.a \(-24\) \(-24\) \(-24\) \(-12\) $\mathrm{SU}(2)[C_{72}]$
608.3.d.a 608.d 4.b $16$ $16.567$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None 608.3.d.a \(0\) \(0\) \(-8\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{3}+(-1+\beta _{5})q^{5}+(\beta _{1}+\beta _{4}+\cdots)q^{7}+\cdots\)
608.3.d.b 608.d 4.b $20$ $16.567$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None 608.3.d.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+\beta _{4}q^{5}+\beta _{8}q^{7}+(-3+\beta _{2}+\cdots)q^{9}+\cdots\)
608.3.e.a 608.e 19.b $20$ $16.567$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None 608.3.e.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{11}q^{3}-\beta _{2}q^{5}-\beta _{3}q^{7}+(-3+\beta _{5}+\cdots)q^{9}+\cdots\)
608.3.e.b 608.e 19.b $20$ $16.567$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None 608.3.e.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{7}q^{3}+\beta _{6}q^{5}+\beta _{1}q^{7}+(-3+\beta _{4}+\cdots)q^{9}+\cdots\)
Next   displayed columns for results