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Results (20 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 5
1440.4.a.b 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(-5\) \(-30\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-30q^{7}-50q^{11}-88q^{13}+\cdots\)
1440.4.a.d 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(-5\) \(-12\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-12q^{7}+24q^{11}+38q^{13}+\cdots\)
1440.4.a.e 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(-5\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-4q^{7}-40q^{11}-90q^{13}+\cdots\)
1440.4.a.i 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(-5\) \(30\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+30q^{7}+50q^{11}-88q^{13}+\cdots\)
1440.4.a.j 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(-5\) \(32\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+2^{5}q^{7}-2^{6}q^{11}-6q^{13}+\cdots\)
1440.4.a.k 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(5\) \(-30\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-30q^{7}+50q^{11}-88q^{13}+\cdots\)
1440.4.a.n 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(5\) \(-6\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-6q^{7}+60q^{11}+50q^{13}+\cdots\)
1440.4.a.p 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(5\) \(8\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+8q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
1440.4.a.r 1440.a 1.a $1$ $84.963$ \(\Q\) None \(0\) \(0\) \(5\) \(30\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+30q^{7}-50q^{11}-88q^{13}+\cdots\)
1440.4.a.s 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{89}) \) None \(0\) \(0\) \(-10\) \(-12\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+(-6-\beta )q^{7}+(12-2\beta )q^{11}+\cdots\)
1440.4.a.t 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-10\) \(-8\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+(-4+5\beta )q^{7}+(2^{5}+6\beta )q^{11}+\cdots\)
1440.4.a.w 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{85}) \) None \(0\) \(0\) \(-10\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-\beta q^{7}+3\beta q^{11}+52q^{13}+\cdots\)
1440.4.a.y 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{89}) \) None \(0\) \(0\) \(-10\) \(12\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+(6+\beta )q^{7}+(-12+2\beta )q^{11}+\cdots\)
1440.4.a.z 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{41}) \) None \(0\) \(0\) \(10\) \(-12\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+(-6-\beta )q^{7}+(-12-4\beta )q^{11}+\cdots\)
1440.4.a.bb 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(10\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-7\beta q^{7}+2\beta q^{11}-62q^{13}+\cdots\)
1440.4.a.be 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{85}) \) None \(0\) \(0\) \(10\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-\beta q^{7}-3\beta q^{11}+52q^{13}+\cdots\)
1440.4.a.bf 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{201}) \) None \(0\) \(0\) \(10\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+(2+\beta )q^{7}-20q^{11}+(-12+\cdots)q^{13}+\cdots\)
1440.4.a.bg 1440.a 1.a $2$ $84.963$ \(\Q(\sqrt{41}) \) None \(0\) \(0\) \(10\) \(12\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+(6+\beta )q^{7}+(12+4\beta )q^{11}+\cdots\)
1440.4.a.bi 1440.a 1.a $3$ $84.963$ 3.3.16773.1 None \(0\) \(0\) \(-15\) \(14\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+(5-\beta _{1})q^{7}+(-7-2\beta _{1}-\beta _{2})q^{11}+\cdots\)
1440.4.a.bk 1440.a 1.a $3$ $84.963$ 3.3.16773.1 None \(0\) \(0\) \(15\) \(14\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+(5-\beta _{1})q^{7}+(7+2\beta _{1}+\beta _{2})q^{11}+\cdots\)
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