Learn more

Refine search


Results (47 matches)

  Download to        
Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
6840.2.a.a 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{11}+6q^{17}-q^{19}+\cdots\)
6840.2.a.b 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+2q^{11}-4q^{13}+2q^{17}+\cdots\)
6840.2.a.c 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-4q^{11}+q^{13}+7q^{17}+\cdots\)
6840.2.a.d 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}-2q^{13}-2q^{17}-q^{19}+\cdots\)
6840.2.a.e 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}+2q^{13}-6q^{17}-q^{19}+\cdots\)
6840.2.a.f 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-q^{19}+4q^{23}+q^{25}+\cdots\)
6840.2.a.g 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}+6q^{17}+q^{19}-4q^{23}+\cdots\)
6840.2.a.h 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}-6q^{13}+6q^{17}-q^{19}+\cdots\)
6840.2.a.i 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+4q^{13}+2q^{17}+q^{19}+\cdots\)
6840.2.a.j 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-6q^{11}+4q^{13}+2q^{17}+\cdots\)
6840.2.a.k 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-2q^{13}-4q^{17}+q^{19}+\cdots\)
6840.2.a.l 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-4q^{11}-4q^{13}+2q^{17}+\cdots\)
6840.2.a.m 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+2q^{13}-2q^{17}-q^{19}+\cdots\)
6840.2.a.n 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+2q^{11}-4q^{13}-4q^{17}+\cdots\)
6840.2.a.o 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+4q^{11}-6q^{17}-q^{19}+\cdots\)
6840.2.a.p 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+4q^{11}+2q^{13}+6q^{17}+\cdots\)
6840.2.a.q 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+2q^{11}-6q^{17}-q^{19}+\cdots\)
6840.2.a.r 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+4q^{11}-2q^{13}+q^{19}+\cdots\)
6840.2.a.s 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}-q^{19}-4q^{23}+q^{25}+\cdots\)
6840.2.a.t 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}-2q^{13}+2q^{17}+q^{19}+\cdots\)
6840.2.a.u 6840.a 1.a $1$ $54.618$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-2q^{11}-4q^{13}+4q^{17}+\cdots\)
6840.2.a.v 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-3+\beta )q^{7}+(1+3\beta )q^{11}+\cdots\)
6840.2.a.w 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+\beta )q^{7}+(3-\beta )q^{11}+(1+\cdots)q^{13}+\cdots\)
6840.2.a.x 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-2+\beta )q^{7}-\beta q^{11}-3\beta q^{13}+\cdots\)
6840.2.a.y 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+(1+\beta )q^{13}+(-4+2\beta )q^{17}+\cdots\)
6840.2.a.z 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2\beta q^{7}+(-2-2\beta )q^{11}+(2+\cdots)q^{13}+\cdots\)
6840.2.a.ba 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta q^{7}+\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
6840.2.a.bb 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta q^{7}+(2-\beta )q^{11}+(2-\beta )q^{13}+\cdots\)
6840.2.a.bc 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1+\beta )q^{7}+(1+\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
6840.2.a.bd 6840.a 1.a $2$ $54.618$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(6\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(3+\beta )q^{7}+(-1+\beta )q^{11}+(3+\cdots)q^{13}+\cdots\)
6840.2.a.be 6840.a 1.a $3$ $54.618$ 3.3.148.1 None \(0\) \(0\) \(-3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-2\beta _{1}-\beta _{2})q^{7}+(1-\beta _{1})q^{11}+\cdots\)
6840.2.a.bf 6840.a 1.a $3$ $54.618$ 3.3.316.1 None \(0\) \(0\) \(-3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+\beta _{1})q^{7}+(1+\beta _{2})q^{11}+\cdots\)
6840.2.a.bg 6840.a 1.a $3$ $54.618$ 3.3.229.1 None \(0\) \(0\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta _{1}q^{7}+(2+\beta _{2})q^{13}+(-2+\cdots)q^{17}+\cdots\)
6840.2.a.bh 6840.a 1.a $3$ $54.618$ 3.3.1772.1 None \(0\) \(0\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta _{2}q^{7}+(-2-\beta _{2})q^{11}+(1+\cdots)q^{13}+\cdots\)
6840.2.a.bi 6840.a 1.a $3$ $54.618$ 3.3.2804.1 None \(0\) \(0\) \(-3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+(1-\beta _{1})q^{7}+(-2-\beta _{2})q^{11}+\cdots\)
6840.2.a.bj 6840.a 1.a $3$ $54.618$ 3.3.568.1 None \(0\) \(0\) \(3\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(-2-\beta _{2})q^{7}+(2-2\beta _{1})q^{11}+\cdots\)
6840.2.a.bk 6840.a 1.a $3$ $54.618$ 3.3.568.1 None \(0\) \(0\) \(3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1-\beta _{2})q^{7}+(-1+\beta _{2})q^{11}+\cdots\)
6840.2.a.bl 6840.a 1.a $3$ $54.618$ 3.3.148.1 None \(0\) \(0\) \(3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-2\beta _{1}-\beta _{2})q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
6840.2.a.bm 6840.a 1.a $3$ $54.618$ 3.3.316.1 None \(0\) \(0\) \(3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1+2\beta _{1}-\beta _{2})q^{7}-2\beta _{2}q^{11}+\cdots\)
6840.2.a.bn 6840.a 1.a $3$ $54.618$ 3.3.1016.1 None \(0\) \(0\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta _{2}q^{7}+(-1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
6840.2.a.bo 6840.a 1.a $3$ $54.618$ 3.3.2804.1 None \(0\) \(0\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+(1-\beta _{1})q^{7}+(2+\beta _{2})q^{11}+(3+\cdots)q^{13}+\cdots\)
6840.2.a.bp 6840.a 1.a $4$ $54.618$ 4.4.20308.1 None \(0\) \(0\) \(-4\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1+\beta _{1})q^{7}+(1-\beta _{1}-\beta _{3})q^{11}+\cdots\)
6840.2.a.bq 6840.a 1.a $4$ $54.618$ 4.4.20308.1 None \(0\) \(0\) \(4\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+(-1+\beta _{1})q^{7}+(-1+\beta _{1}+\beta _{3})q^{11}+\cdots\)
6840.2.a.br 6840.a 1.a $5$ $54.618$ 5.5.4636128.1 None \(0\) \(0\) \(-5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}+\beta _{4}q^{7}-\beta _{3}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6840.2.a.bs 6840.a 1.a $5$ $54.618$ 5.5.4636128.1 None \(0\) \(0\) \(5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+\beta _{4}q^{7}+\beta _{3}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6840.2.r.a 6840.r 57.d $40$ $54.618$ None \(0\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$
6840.2.r.b 6840.r 57.d $40$ $54.618$ None \(0\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$
  Download to