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Results (1-50 of 69 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 47
6768.2.a.a 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(-3\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-3q^{7}-q^{11}-4q^{13}-4q^{17}+\cdots\)
6768.2.a.b 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}-3q^{11}+4q^{19}+7q^{23}+\cdots\)
6768.2.a.c 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(-3\) \(5\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+5q^{7}+3q^{11}-6q^{13}-2q^{17}+\cdots\)
6768.2.a.d 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-6q^{11}+6q^{17}+4q^{19}-q^{25}+\cdots\)
6768.2.a.e 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+2q^{13}-2q^{17}-q^{25}-2q^{29}+\cdots\)
6768.2.a.f 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+4q^{11}-2q^{13}-2q^{17}-q^{25}+\cdots\)
6768.2.a.g 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+q^{11}-2q^{13}-2q^{17}+\cdots\)
6768.2.a.h 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{7}+6q^{13}+6q^{17}-2q^{19}+4q^{23}+\cdots\)
6768.2.a.i 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{11}-4q^{13}+2q^{17}+2q^{19}+\cdots\)
6768.2.a.j 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{7}-4q^{11}+2q^{13}-2q^{17}+2q^{19}+\cdots\)
6768.2.a.k 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-q^{11}-4q^{13}+4q^{17}+\cdots\)
6768.2.a.l 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+3q^{11}-2q^{13}+6q^{17}+\cdots\)
6768.2.a.m 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(1\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{7}-3q^{11}-4q^{13}-8q^{17}+\cdots\)
6768.2.a.n 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(1\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{7}+q^{11}-2q^{13}-2q^{17}+\cdots\)
6768.2.a.o 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{11}+4q^{13}-2q^{17}-8q^{19}+\cdots\)
6768.2.a.p 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(3\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-3q^{7}+q^{11}-4q^{13}+4q^{17}+\cdots\)
6768.2.a.q 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}+3q^{11}+4q^{19}-7q^{23}+\cdots\)
6768.2.a.r 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}-3q^{11}-4q^{13}-2q^{19}+\cdots\)
6768.2.a.s 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}+5q^{11}-4q^{13}+4q^{17}+\cdots\)
6768.2.a.t 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(3\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+3q^{7}-5q^{11}+2q^{13}+6q^{17}+\cdots\)
6768.2.a.u 6768.a 1.a $1$ $54.043$ \(\Q\) None \(0\) \(0\) \(4\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+4q^{7}-2q^{13}+6q^{17}-6q^{19}+\cdots\)
6768.2.a.v 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-4\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-2+\beta )q^{5}-2\beta q^{7}+2\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
6768.2.a.w 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-4\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2+\beta )q^{5}+(2+2\beta )q^{7}+(4-\beta )q^{11}+\cdots\)
6768.2.a.x 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+q^{11}-\beta q^{13}+(4-\beta )q^{17}+\cdots\)
6768.2.a.y 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}-\beta q^{7}+(4-\beta )q^{11}+(-2-2\beta )q^{13}+\cdots\)
6768.2.a.z 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}+\beta q^{7}+(-4+\beta )q^{11}+(2-2\beta )q^{13}+\cdots\)
6768.2.a.ba 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(0\) \(-5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-2-\beta )q^{7}+2\beta q^{11}+2q^{13}+(3+\cdots)q^{17}+\cdots\)
6768.2.a.bb 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-2q^{7}+\beta q^{11}+(2+\beta )q^{13}+\cdots\)
6768.2.a.bc 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(1\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+\beta q^{7}+(4-\beta )q^{11}+(2-2\beta )q^{13}+\cdots\)
6768.2.a.bd 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-2\beta q^{7}+(-3+\beta )q^{11}+\cdots\)
6768.2.a.be 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-q^{11}+\beta q^{13}+(-4-\beta )q^{17}+\cdots\)
6768.2.a.bf 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2\beta q^{5}+(2-\beta )q^{7}+(-2-2\beta )q^{11}+\cdots\)
6768.2.a.bg 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(7\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2\beta q^{5}+(3+\beta )q^{7}+(-4+4\beta )q^{11}+\cdots\)
6768.2.a.bh 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(4\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+(-2+3\beta )q^{7}-2q^{11}+(-2+\cdots)q^{13}+\cdots\)
6768.2.a.bi 6768.a 1.a $2$ $54.043$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(4\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{5}+2\beta q^{7}+2\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
6768.2.a.bj 6768.a 1.a $3$ $54.043$ 3.3.316.1 None \(0\) \(0\) \(-5\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2+\beta _{1})q^{5}+(-1-\beta _{2})q^{7}+(1+\cdots)q^{11}+\cdots\)
6768.2.a.bk 6768.a 1.a $3$ $54.043$ 3.3.229.1 None \(0\) \(0\) \(-5\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2-\beta _{2})q^{5}-\beta _{1}q^{7}+\beta _{1}q^{11}+\cdots\)
6768.2.a.bl 6768.a 1.a $3$ $54.043$ 3.3.2700.1 None \(0\) \(0\) \(-3\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}+(-1-\beta _{2})q^{7}+(-1+\cdots)q^{11}+\cdots\)
6768.2.a.bm 6768.a 1.a $3$ $54.043$ 3.3.148.1 None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{2})q^{5}+(\beta _{1}-\beta _{2})q^{7}+(-3+\cdots)q^{11}+\cdots\)
6768.2.a.bn 6768.a 1.a $3$ $54.043$ 3.3.316.1 None \(0\) \(0\) \(-1\) \(3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}+(1+\beta _{2})q^{7}+(3-\beta _{2})q^{11}+\cdots\)
6768.2.a.bo 6768.a 1.a $3$ $54.043$ 3.3.316.1 None \(0\) \(0\) \(1\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}+(1+\beta _{2})q^{7}+(-3+\beta _{2})q^{11}+\cdots\)
6768.2.a.bp 6768.a 1.a $3$ $54.043$ 3.3.316.1 None \(0\) \(0\) \(5\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(2-\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
6768.2.a.bq 6768.a 1.a $4$ $54.043$ 4.4.7625.1 None \(0\) \(0\) \(-4\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{2})q^{5}+(\beta _{1}-\beta _{3})q^{7}+(1+\beta _{2}+\cdots)q^{11}+\cdots\)
6768.2.a.br 6768.a 1.a $4$ $54.043$ 4.4.115520.1 None \(0\) \(0\) \(-2\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}+(-1+\beta _{3})q^{7}+(2+\cdots)q^{11}+\cdots\)
6768.2.a.bs 6768.a 1.a $4$ $54.043$ 4.4.11348.1 None \(0\) \(0\) \(-1\) \(-7\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}+(-2+\beta _{2})q^{7}-\beta _{1}q^{11}+\cdots\)
6768.2.a.bt 6768.a 1.a $4$ $54.043$ 4.4.13448.1 None \(0\) \(0\) \(0\) \(-5\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-1+\beta _{2}+\cdots)q^{7}+\cdots\)
6768.2.a.bu 6768.a 1.a $4$ $54.043$ 4.4.115520.1 None \(0\) \(0\) \(2\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{5}+(-1+\beta _{3})q^{7}+(-2+\cdots)q^{11}+\cdots\)
6768.2.a.bv 6768.a 1.a $4$ $54.043$ 4.4.1957.1 None \(0\) \(0\) \(2\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1}-\beta _{3})q^{5}+(-1+\beta _{1})q^{7}+\cdots\)
6768.2.a.bw 6768.a 1.a $5$ $54.043$ 5.5.2324776.1 None \(0\) \(0\) \(-3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{3})q^{5}+\beta _{4}q^{7}+(1-\beta _{2})q^{11}+\cdots\)
6768.2.a.bx 6768.a 1.a $8$ $54.043$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(-4\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}-\beta _{3}q^{7}+(-1+\beta _{6})q^{11}+\cdots\)
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