Learn more

Refine search


Results (1-50 of 114 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1368.1.i.a 1368.i 152.g $1$ $0.683$ \(\Q\) \(\Q(\sqrt{-38}) \) None \(-1\) \(0\) \(0\) \(-1\) \(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{13}+q^{14}+\cdots\)
1368.1.i.b 1368.i 152.g $1$ $0.683$ \(\Q\) \(\Q(\sqrt{-38}) \) None \(1\) \(0\) \(0\) \(-1\) \(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots\)
1368.1.l.a 1368.l 456.l $4$ $0.683$ \(\Q(\zeta_{8})\) None \(\Q(\sqrt{38}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{2}q^{8}+(-\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
1368.1.ba.a 1368.ba 1368.aa $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(-1\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots\)
1368.1.ba.b 1368.ba 1368.aa $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(-1\) \(2\) \(0\) \(0\) \(q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{6}+q^{8}+\cdots\)
1368.1.ba.c 1368.ba 1368.aa $4$ $0.683$ \(\Q(\zeta_{12})\) None None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\cdots\)
1368.1.bo.a 1368.bo 1368.ao $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(-1\) \(1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
1368.1.bo.b 1368.bo 1368.ao $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(1\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
1368.1.bt.a 1368.bt 1368.at $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(-2\) \(-1\) \(0\) \(0\) \(q-q^{2}-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{6}-q^{8}+\cdots\)
1368.1.bt.b 1368.bt 1368.at $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(2\) \(1\) \(0\) \(0\) \(q+q^{2}-\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}^{2}q^{6}+q^{8}+\cdots\)
1368.1.bw.a 1368.bw 456.x $8$ $0.683$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(-8\) \(q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-q^{7}+\zeta_{24}^{3}q^{8}+\cdots\)
1368.1.bz.a 1368.bz 152.k $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(1\) \(0\) \(0\) \(0\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{8}+q^{11}-\zeta_{6}q^{16}+\cdots\)
1368.1.ce.a 1368.ce 1368.be $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-38}) \) None \(-3\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{6}q^{2}+\zeta_{18}^{4}q^{3}-\zeta_{18}^{3}q^{4}+\cdots\)
1368.1.ce.b 1368.ce 1368.be $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-38}) \) None \(3\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{6}q^{2}+\zeta_{18}^{7}q^{3}-\zeta_{18}^{3}q^{4}+\cdots\)
1368.1.cj.a 1368.cj 1368.bj $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(2\) \(-1\) \(0\) \(0\) \(q+q^{2}+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{6}+q^{8}+\cdots\)
1368.1.cj.b 1368.cj 1368.bj $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(2\) \(-1\) \(0\) \(0\) \(q+q^{2}-\zeta_{6}q^{3}+q^{4}-\zeta_{6}q^{6}+q^{8}+\cdots\)
1368.1.cj.c 1368.cj 1368.bj $4$ $0.683$ \(\Q(\zeta_{12})\) None None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}-q^{3}-q^{4}-\zeta_{12}^{5}q^{5}+\cdots\)
1368.1.cz.a 1368.cz 1368.bz $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(-1\) \(1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}+q^{8}+\cdots\)
1368.1.cz.b 1368.cz 1368.bz $2$ $0.683$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(1\) \(2\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{2}+q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{6}+\cdots\)
1368.1.dh.a 1368.dh 1368.ch $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-3\) \(0\) \(0\) \(q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{6}q^{3}+\zeta_{18}^{8}q^{4}+\cdots\)
1368.1.dh.b 1368.dh 1368.ch $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{8}q^{4}+\cdots\)
1368.1.dk.a 1368.dk 1368.ck $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}q^{2}+\zeta_{18}^{2}q^{3}+\zeta_{18}^{2}q^{4}+\zeta_{18}^{3}q^{6}+\cdots\)
1368.1.dk.b 1368.dk 1368.ck $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(3\) \(0\) \(0\) \(q-\zeta_{18}q^{2}-\zeta_{18}^{6}q^{3}+\zeta_{18}^{2}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
1368.1.ee.a 1368.ee 1368.de $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-6\) \(0\) \(0\) \(q+\zeta_{18}^{4}q^{2}-q^{3}+\zeta_{18}^{8}q^{4}-\zeta_{18}^{4}q^{6}+\cdots\)
1368.1.ee.b 1368.ee 1368.de $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{4}q^{2}-\zeta_{18}^{5}q^{3}+\zeta_{18}^{8}q^{4}+\cdots\)
1368.1.eh.a 1368.eh 152.u $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{2}-\zeta_{18}q^{4}-\zeta_{18}^{6}q^{8}+(-\zeta_{18}^{4}+\cdots)q^{11}+\cdots\)
1368.1.en.a 1368.en 1368.dn $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{2}+\zeta_{18}^{4}q^{3}-\zeta_{18}q^{4}+q^{6}+\cdots\)
1368.1.en.b 1368.en 1368.dn $6$ $0.683$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(6\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{2}+q^{3}-\zeta_{18}q^{4}-\zeta_{18}^{5}q^{6}+\cdots\)
1368.2.a.a 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+6q^{11}+2q^{13}-4q^{17}-q^{19}+\cdots\)
1368.2.a.b 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(-4\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+4q^{7}+4q^{11}-4q^{13}-6q^{17}+\cdots\)
1368.2.a.c 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{13}-2q^{17}-q^{19}-q^{25}+\cdots\)
1368.2.a.d 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+5q^{11}-2q^{13}+q^{17}+\cdots\)
1368.2.a.e 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{11}-2q^{13}-4q^{17}+q^{19}-2q^{23}+\cdots\)
1368.2.a.f 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+2q^{11}-2q^{13}+4q^{17}+q^{19}+2q^{23}+\cdots\)
1368.2.a.g 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+3q^{7}-2q^{11}+q^{13}+5q^{17}+q^{19}+\cdots\)
1368.2.a.h 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{7}+3q^{11}-4q^{13}-5q^{17}+\cdots\)
1368.2.a.i 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(3\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-3q^{7}+q^{11}-2q^{13}+5q^{17}+\cdots\)
1368.2.a.j 1368.a 1.a $1$ $10.924$ \(\Q\) None None \(0\) \(0\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-6q^{11}+2q^{13}+4q^{17}-q^{19}+\cdots\)
1368.2.a.k 1368.a 1.a $2$ $10.924$ \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{5}+\beta q^{7}+(-4+\beta )q^{11}-2\beta q^{13}+\cdots\)
1368.2.a.l 1368.a 1.a $2$ $10.924$ \(\Q(\sqrt{41}) \) None None \(0\) \(0\) \(1\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+(-2+\beta )q^{7}+(-2+\beta )q^{11}+\cdots\)
1368.2.a.m 1368.a 1.a $3$ $10.924$ 3.3.892.1 None None \(0\) \(0\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots\)
1368.2.a.n 1368.a 1.a $3$ $10.924$ 3.3.961.1 None None \(0\) \(0\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}+(1-\beta _{2})q^{7}+(2-\beta _{1})q^{11}+\cdots\)
1368.2.a.o 1368.a 1.a $3$ $10.924$ 3.3.892.1 None None \(0\) \(0\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots\)
1368.2.e.a 1368.e 152.b $2$ $10.924$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta q^{2}-2q^{4}+2\beta q^{8}-6q^{11}+4q^{16}+\cdots\)
1368.2.e.b 1368.e 152.b $4$ $10.924$ \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(1-\beta _{3})q^{4}+(-1+2\beta _{3})q^{7}+\cdots\)
1368.2.e.c 1368.e 152.b $8$ $10.924$ 8.0.\(\cdots\).11 \(\Q(\sqrt{-114}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{2}-2q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{8}+\cdots\)
1368.2.e.d 1368.e 152.b $8$ $10.924$ 8.0.207360000.1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(\beta _{1}-\beta _{5})q^{2}+(-1-\beta _{4})q^{4}+2\beta _{4}q^{7}+\cdots\)
1368.2.e.e 1368.e 152.b $12$ $10.924$ 12.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{5}-\beta _{8})q^{5}-\beta _{8}q^{7}+\cdots\)
1368.2.e.f 1368.e 152.b $24$ $10.924$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
1368.2.e.g 1368.e 152.b $40$ $10.924$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
Next   Download to