Learn more

Refine search


Results (1-50 of 287 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
432.1.e.a 432.e 3.b $1$ $0.216$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q+q^{7}-q^{13}+q^{19}+q^{25}-2q^{31}+\cdots\)
432.1.g.a 432.g 4.b $2$ $0.216$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{13}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{19}+\cdots\)
432.1.j.a 432.j 48.i $4$ $0.216$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
432.2.a.a 432.a 1.a $1$ $3.450$ \(\Q\) None None \(0\) \(0\) \(-4\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+3q^{7}+4q^{11}+q^{13}+4q^{17}+\cdots\)
432.2.a.b 432.a 1.a $1$ $3.450$ \(\Q\) None None \(0\) \(0\) \(-3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{5}+q^{7}-3q^{11}-4q^{13}-2q^{19}+\cdots\)
432.2.a.c 432.a 1.a $1$ $3.450$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}-5q^{11}+4q^{13}-8q^{17}+\cdots\)
432.2.a.d 432.a 1.a $1$ $3.450$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-5\) $+$ $N(\mathrm{U}(1))$ \(q-5q^{7}-7q^{13}+q^{19}-5q^{25}+4q^{31}+\cdots\)
432.2.a.e 432.a 1.a $1$ $3.450$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) $-$ $N(\mathrm{U}(1))$ \(q+q^{7}+5q^{13}+7q^{19}-5q^{25}+4q^{31}+\cdots\)
432.2.a.f 432.a 1.a $1$ $3.450$ \(\Q\) None None \(0\) \(0\) \(1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{7}+5q^{11}+4q^{13}+8q^{17}+\cdots\)
432.2.a.g 432.a 1.a $1$ $3.450$ \(\Q\) None None \(0\) \(0\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}+3q^{11}-4q^{13}-2q^{19}+\cdots\)
432.2.a.h 432.a 1.a $1$ $3.450$ \(\Q\) None None \(0\) \(0\) \(4\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+3q^{7}-4q^{11}+q^{13}-4q^{17}+\cdots\)
432.2.c.a 432.c 12.b $2$ $3.450$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\zeta_{6}q^{7}-5q^{13}-\zeta_{6}q^{19}+5q^{25}+\cdots\)
432.2.c.b 432.c 12.b $2$ $3.450$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\zeta_{6}q^{7}+7q^{13}-5\zeta_{6}q^{19}+5q^{25}+\cdots\)
432.2.c.c 432.c 12.b $4$ $3.450$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}q^{5}+\zeta_{12}^{2}q^{7}-\zeta_{12}^{3}q^{11}+\cdots\)
432.2.i.a 432.i 9.c $2$ $3.450$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-1\) \(-3\) $\mathrm{SU}(2)[C_{3}]$ \(q-\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+(-5+5\zeta_{6})q^{11}+\cdots\)
432.2.i.b 432.i 9.c $2$ $3.450$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(0\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(2-2\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}-2\zeta_{6}q^{13}+\cdots\)
432.2.i.c 432.i 9.c $2$ $3.450$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(3\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+(-3+3\zeta_{6})q^{11}+\cdots\)
432.2.i.d 432.i 9.c $4$ $3.450$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(-1\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-\beta _{1}+\beta _{3})q^{5}+(2-\beta _{1}+\beta _{2}-\beta _{3})q^{7}+\cdots\)
432.2.k.a 432.k 16.e $4$ $3.450$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}-\zeta_{8}q^{5}+3\zeta_{8}^{2}q^{7}+\cdots\)
432.2.k.b 432.k 16.e $4$ $3.450$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}-\zeta_{8}q^{5}-3\zeta_{8}^{2}q^{7}+\cdots\)
432.2.k.c 432.k 16.e $24$ $3.450$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
432.2.k.d 432.k 16.e $32$ $3.450$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
432.2.l.a 432.l 48.k $32$ $3.450$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
432.2.l.b 432.l 48.k $32$ $3.450$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
432.2.s.a 432.s 36.h $2$ $3.450$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-3\) \(-3\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-2+\zeta_{6})q^{5}+(-1-\zeta_{6})q^{7}+(-3+\cdots)q^{11}+\cdots\)
432.2.s.b 432.s 36.h $2$ $3.450$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-3\) \(3\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-2+\zeta_{6})q^{5}+(1+\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}+\cdots\)
432.2.s.c 432.s 36.h $2$ $3.450$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(6\) \(-6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(4-2\zeta_{6})q^{5}+(-2-2\zeta_{6})q^{7}+(3+\cdots)q^{11}+\cdots\)
432.2.s.d 432.s 36.h $2$ $3.450$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(6\) \(6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(4-2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+(-3+\cdots)q^{11}+\cdots\)
432.2.s.e 432.s 36.h $4$ $3.450$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-2+\zeta_{12}^{2})q^{5}+\zeta_{12}q^{7}+(-\zeta_{12}+\cdots)q^{11}+\cdots\)
432.2.u.a 432.u 27.e $6$ $3.450$ \(\Q(\zeta_{18})\) None None \(0\) \(0\) \(-3\) \(-3\) $\mathrm{SU}(2)[C_{9}]$ \(q+(-2\zeta_{18}^{2}+\zeta_{18}^{5})q^{3}+(-\zeta_{18}^{2}+\cdots)q^{5}+\cdots\)
432.2.u.b 432.u 27.e $12$ $3.450$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(-3\) \(3\) $\mathrm{SU}(2)[C_{9}]$ \(q+(\beta _{3}-\beta _{4}-\beta _{11})q^{3}+(-\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots\)
432.2.u.c 432.u 27.e $12$ $3.450$ 12.0.\(\cdots\).1 None None \(0\) \(6\) \(-3\) \(6\) $\mathrm{SU}(2)[C_{9}]$ \(q+(-\beta _{2}+\beta _{6}+\beta _{7}-\beta _{9})q^{3}+(\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
432.2.u.d 432.u 27.e $18$ $3.450$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(0\) \(3\) \(0\) $\mathrm{SU}(2)[C_{9}]$ \(q-\beta _{12}q^{3}+(-1+\beta _{1}-\beta _{4}-\beta _{6}-\beta _{7}+\cdots)q^{5}+\cdots\)
432.2.u.e 432.u 27.e $24$ $3.450$ None None \(0\) \(0\) \(0\) \(3\) $\mathrm{SU}(2)[C_{9}]$
432.2.u.f 432.u 27.e $30$ $3.450$ None None \(0\) \(0\) \(0\) \(-3\) $\mathrm{SU}(2)[C_{9}]$
432.2.v.a 432.v 144.u $88$ $3.450$ None None \(6\) \(0\) \(6\) \(-4\) $\mathrm{SU}(2)[C_{12}]$
432.2.y.a 432.y 144.x $4$ $3.450$ \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(-2\) \(-12\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{4}+\cdots\)
432.2.y.b 432.y 144.x $4$ $3.450$ \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(-4\) \(6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-\zeta_{12}+\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}-2\zeta_{12}q^{4}+\cdots\)
432.2.y.c 432.y 144.x $4$ $3.450$ \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(8\) \(-6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-\zeta_{12}+\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}-2\zeta_{12}q^{4}+\cdots\)
432.2.y.d 432.y 144.x $4$ $3.450$ \(\Q(\zeta_{12})\) None None \(4\) \(0\) \(4\) \(12\) $\mathrm{SU}(2)[C_{12}]$ \(q+(1+\zeta_{12}^{3})q^{2}+2\zeta_{12}^{3}q^{4}+(1+\zeta_{12}+\cdots)q^{5}+\cdots\)
432.2.y.e 432.y 144.x $72$ $3.450$ None None \(-4\) \(0\) \(-4\) \(0\) $\mathrm{SU}(2)[C_{12}]$
432.2.be.a 432.be 108.l $36$ $3.450$ None None \(0\) \(0\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{18}]$
432.2.be.b 432.be 108.l $36$ $3.450$ None None \(0\) \(0\) \(3\) \(0\) $\mathrm{SU}(2)[C_{18}]$
432.2.be.c 432.be 108.l $36$ $3.450$ None None \(0\) \(0\) \(3\) \(0\) $\mathrm{SU}(2)[C_{18}]$
432.2.bg.a 432.bg 432.ag $840$ $3.450$ None None \(-12\) \(-12\) \(-12\) \(0\) $\mathrm{SU}(2)[C_{36}]$
432.2.bj.a 432.bj 432.aj $840$ $3.450$ None None \(-12\) \(-12\) \(-12\) \(-24\) $\mathrm{SU}(2)[C_{36}]$
432.3.e.a 432.e 3.b $1$ $11.771$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-11\) $\mathrm{U}(1)[D_{2}]$ \(q-11q^{7}+23q^{13}+37q^{19}+5^{2}q^{25}+\cdots\)
432.3.e.b 432.e 3.b $1$ $11.771$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(13\) $\mathrm{U}(1)[D_{2}]$ \(q+13q^{7}-q^{13}-11q^{19}+5^{2}q^{25}+\cdots\)
432.3.e.c 432.e 3.b $2$ $11.771$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-10\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{5}-5q^{7}-5iq^{11}-10q^{13}+\cdots\)
432.3.e.d 432.e 3.b $2$ $11.771$ \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-10\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{5}-5q^{7}+\beta q^{11}-q^{13}-3\beta q^{17}+\cdots\)
Next   Download to