Learn more

Refine search


Results (1-50 of 106 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2368.1.b.a 2368.b 148.b $1$ $1.182$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-37}) \) \(\Q(\sqrt{37}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}+q^{25}+q^{37}-2q^{41}+q^{49}+\cdots\)
2368.1.b.b 2368.b 148.b $2$ $1.182$ \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{37}) \) \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{6}-\zeta_{6}^{2})q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\cdots\)
2368.1.k.a 2368.k 37.d $2$ $1.182$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}-q^{7}-iq^{11}+(-1+i)q^{17}+\cdots\)
2368.1.k.b 2368.k 37.d $2$ $1.182$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(2\) \(q-iq^{3}+q^{7}+iq^{11}+(-1+i)q^{17}+\cdots\)
2368.1.k.c 2368.k 37.d $2$ $1.182$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(-2\) \(q-iq^{3}+(1-i)q^{5}-q^{7}-iq^{11}+(-1+\cdots)q^{13}+\cdots\)
2368.1.k.d 2368.k 37.d $2$ $1.182$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+(1-i)q^{5}+q^{9}+(1-i)q^{13}+(-1+\cdots)q^{17}+\cdots\)
2368.1.k.e 2368.k 37.d $2$ $1.182$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(2\) \(q+iq^{3}+(1-i)q^{5}+q^{7}+iq^{11}+(-1+\cdots)q^{13}+\cdots\)
2368.1.z.a 2368.z 148.i $2$ $1.182$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+\zeta_{6}q^{17}+\cdots\)
2368.1.z.b 2368.z 148.i $4$ $1.182$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{5}+\zeta_{12}^{5}q^{7}+\cdots\)
2368.1.z.c 2368.z 148.i $4$ $1.182$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(2\) \(0\) \(q+\beta _{1}q^{3}+(1-\beta _{2})q^{5}+\beta _{2}q^{9}-\beta _{3}q^{11}+\cdots\)
2368.1.bb.a 2368.bb 148.j $2$ $1.182$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-3\) \(0\) \(q+(-1+\zeta_{6}^{2})q^{5}+\zeta_{6}^{2}q^{9}+(-1-\zeta_{6}+\cdots)q^{17}+\cdots\)
2368.1.bv.a 2368.bv 37.g $4$ $1.182$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+(1+\zeta_{12}^{5})q^{5}-\zeta_{12}^{2}q^{9}+(\zeta_{12}+\zeta_{12}^{4}+\cdots)q^{13}+\cdots\)
2368.1.cj.a 2368.cj 148.o $6$ $1.182$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(3\) \(0\) \(q+(\zeta_{18}^{4}-\zeta_{18}^{6})q^{5}-\zeta_{18}^{7}q^{9}+(\zeta_{18}^{5}+\cdots)q^{13}+\cdots\)
2368.1.ck.a 2368.ck 148.p $6$ $1.182$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(3\) \(0\) \(q+(\zeta_{18}^{3}+\zeta_{18}^{5})q^{5}+\zeta_{18}^{2}q^{9}-\zeta_{18}^{7}q^{13}+\cdots\)
2368.1.de.a 2368.de 37.i $12$ $1.182$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-6\) \(0\) \(q+(-\zeta_{36}^{6}-\zeta_{36}^{7})q^{5}-\zeta_{36}^{10}q^{9}+\cdots\)
2368.2.a.a 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-3\) \(-4\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-4q^{5}-3q^{7}+6q^{9}+3q^{11}+\cdots\)
2368.2.a.b 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-3\) \(2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+2q^{5}+q^{7}+6q^{9}-5q^{11}+\cdots\)
2368.2.a.c 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-3\) \(4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+4q^{5}+q^{7}+6q^{9}+3q^{11}+\cdots\)
2368.2.a.d 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}-2q^{9}-3q^{11}+4q^{13}+\cdots\)
2368.2.a.e 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}-2q^{9}+q^{11}+2q^{13}+\cdots\)
2368.2.a.f 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}-2q^{9}-3q^{11}+2q^{17}+\cdots\)
2368.2.a.g 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-1\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-q^{7}-2q^{9}+q^{11}+6q^{13}+\cdots\)
2368.2.a.h 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(-1\) \(4\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}+3q^{7}-2q^{9}+5q^{11}+\cdots\)
2368.2.a.i 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(0\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-4q^{7}-3q^{9}-2q^{13}+2q^{17}+\cdots\)
2368.2.a.j 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(0\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{7}-3q^{9}-2q^{13}+2q^{17}+\cdots\)
2368.2.a.k 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{7}-2q^{9}+3q^{11}+2q^{17}+\cdots\)
2368.2.a.l 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots\)
2368.2.a.m 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(1\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}-2q^{9}+3q^{11}+4q^{13}+\cdots\)
2368.2.a.n 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(1\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{7}-2q^{9}-q^{11}+6q^{13}+\cdots\)
2368.2.a.o 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(1\) \(4\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}-3q^{7}-2q^{9}-5q^{11}+\cdots\)
2368.2.a.p 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(3\) \(-4\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-4q^{5}+3q^{7}+6q^{9}-3q^{11}+\cdots\)
2368.2.a.q 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(3\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+2q^{5}-q^{7}+6q^{9}+5q^{11}+\cdots\)
2368.2.a.r 2368.a 1.a $1$ $18.909$ \(\Q\) None None \(0\) \(3\) \(4\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+4q^{5}-q^{7}+6q^{9}-3q^{11}+\cdots\)
2368.2.a.s 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{13}) \) None None \(0\) \(-3\) \(1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+\beta q^{5}+(2-2\beta )q^{7}+\cdots\)
2368.2.a.t 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-4\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-2q^{5}-\beta q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots\)
2368.2.a.u 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-3\beta )q^{5}+2\beta q^{7}+(-2+\cdots)q^{9}+\cdots\)
2368.2.a.v 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{13}) \) None None \(0\) \(-1\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-1+\beta )q^{5}+2\beta q^{7}+\beta q^{9}+\cdots\)
2368.2.a.w 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+2q^{5}-\beta q^{7}+2q^{9}+\beta q^{11}+\cdots\)
2368.2.a.x 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{17}) \) None None \(0\) \(1\) \(-4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-2q^{5}+\beta q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots\)
2368.2.a.y 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{5}) \) None None \(0\) \(1\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-3\beta )q^{5}-2\beta q^{7}+(-2+\cdots)q^{9}+\cdots\)
2368.2.a.z 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{13}) \) None None \(0\) \(1\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-1+\beta )q^{5}-2\beta q^{7}+\beta q^{9}+\cdots\)
2368.2.a.ba 2368.a 1.a $2$ $18.909$ \(\Q(\sqrt{13}) \) None None \(0\) \(3\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+\beta q^{5}+(-2+2\beta )q^{7}+\cdots\)
2368.2.a.bb 2368.a 1.a $3$ $18.909$ 3.3.229.1 None None \(0\) \(-2\) \(1\) \(7\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}-\beta _{2}q^{5}+(2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
2368.2.a.bc 2368.a 1.a $3$ $18.909$ 3.3.621.1 None None \(0\) \(0\) \(3\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
2368.2.a.bd 2368.a 1.a $3$ $18.909$ 3.3.621.1 None None \(0\) \(0\) \(3\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1-\beta _{1})q^{5}+(1-\beta _{2})q^{7}+\cdots\)
2368.2.a.be 2368.a 1.a $3$ $18.909$ 3.3.229.1 None None \(0\) \(2\) \(1\) \(-7\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}-\beta _{2}q^{5}+(-2-\beta _{1}+\beta _{2})q^{7}+\cdots\)
2368.2.a.bf 2368.a 1.a $4$ $18.909$ 4.4.2225.1 None None \(0\) \(-3\) \(-3\) \(6\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1}-\beta _{3})q^{5}+\cdots\)
2368.2.a.bg 2368.a 1.a $4$ $18.909$ 4.4.48389.1 None None \(0\) \(-2\) \(-5\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{3})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
2368.2.a.bh 2368.a 1.a $4$ $18.909$ 4.4.48389.1 None None \(0\) \(2\) \(-5\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-1+\beta _{3})q^{5}+(\beta _{2}-\beta _{3})q^{7}+\cdots\)
2368.2.a.bi 2368.a 1.a $4$ $18.909$ 4.4.2225.1 None None \(0\) \(3\) \(-3\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-1+\beta _{1}-\beta _{3})q^{5}+\cdots\)
Next   Download to