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Results (28 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
1728.4.a.a 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(-19\) \(-13\) $+$ $-$ $\mathrm{SU}(2)$ \(q-19q^{5}-13q^{7}-65q^{11}+56q^{13}+\cdots\)
1728.4.a.c 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(-15\) \(-25\) $+$ $-$ $\mathrm{SU}(2)$ \(q-15q^{5}-5^{2}q^{7}+15q^{11}-20q^{13}+\cdots\)
1728.4.a.d 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(-15\) \(25\) $-$ $+$ $\mathrm{SU}(2)$ \(q-15q^{5}+5^{2}q^{7}-15q^{11}-20q^{13}+\cdots\)
1728.4.a.i 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(-4\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}-3q^{7}+28q^{11}+11q^{13}+\cdots\)
1728.4.a.j 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(-4\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+3q^{7}-28q^{11}+11q^{13}+\cdots\)
1728.4.a.o 1728.a 1.a $1$ $101.955$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(-37\) $+$ $-$ $N(\mathrm{U}(1))$ \(q-37q^{7}+19q^{13}+163q^{19}-5^{3}q^{25}+\cdots\)
1728.4.a.r 1728.a 1.a $1$ $101.955$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(37\) $-$ $+$ $N(\mathrm{U}(1))$ \(q+37q^{7}+19q^{13}-163q^{19}-5^{3}q^{25}+\cdots\)
1728.4.a.s 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(1\) \(-9\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-9q^{7}-17q^{11}+44q^{13}-56q^{17}+\cdots\)
1728.4.a.t 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(1\) \(9\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+9q^{7}+17q^{11}+44q^{13}-56q^{17}+\cdots\)
1728.4.a.u 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(3\) \(-29\) $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}-29q^{7}+57q^{11}-20q^{13}+\cdots\)
1728.4.a.v 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(3\) \(29\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+29q^{7}-57q^{11}-20q^{13}+\cdots\)
1728.4.a.w 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(4\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{5}-3q^{7}-28q^{11}+11q^{13}+\cdots\)
1728.4.a.x 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(4\) \(3\) $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+3q^{7}+28q^{11}+11q^{13}+\cdots\)
1728.4.a.y 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(9\) \(-1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+9q^{5}-q^{7}+63q^{11}+28q^{13}-72q^{17}+\cdots\)
1728.4.a.z 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(9\) \(1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+9q^{5}+q^{7}-63q^{11}+28q^{13}-72q^{17}+\cdots\)
1728.4.a.bf 1728.a 1.a $1$ $101.955$ \(\Q\) None \(0\) \(0\) \(19\) \(13\) $+$ $-$ $\mathrm{SU}(2)$ \(q+19q^{5}+13q^{7}-65q^{11}+56q^{13}+\cdots\)
1728.4.a.bg 1728.a 1.a $2$ $101.955$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-8\) \(-24\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-4-\beta )q^{5}+(-12-\beta )q^{7}+q^{11}+\cdots\)
1728.4.a.bh 1728.a 1.a $2$ $101.955$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-8\) \(24\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-4-\beta )q^{5}+(12+\beta )q^{7}-q^{11}+\cdots\)
1728.4.a.bk 1728.a 1.a $2$ $101.955$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-22\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-11q^{7}+\beta q^{11}-29q^{13}+\cdots\)
1728.4.a.bm 1728.a 1.a $2$ $101.955$ \(\Q(\sqrt{73}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}+\beta q^{7}-q^{11}+8q^{13}-12\beta q^{17}+\cdots\)
1728.4.a.bo 1728.a 1.a $2$ $101.955$ \(\Q(\sqrt{37}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}+5\beta q^{7}+43q^{11}-52q^{13}+\cdots\)
1728.4.a.bp 1728.a 1.a $2$ $101.955$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(22\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+11q^{7}-\beta q^{11}-29q^{13}+\cdots\)
1728.4.a.bu 1728.a 1.a $3$ $101.955$ 3.3.2708.1 None \(0\) \(0\) \(-10\) \(-19\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-3-\beta _{1})q^{5}+(-6-\beta _{2})q^{7}+(13+\cdots)q^{11}+\cdots\)
1728.4.a.bw 1728.a 1.a $3$ $101.955$ 3.3.148.1 None \(0\) \(0\) \(-6\) \(-9\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-2+\beta _{2})q^{5}+(-3-\beta _{1}+\beta _{2})q^{7}+\cdots\)
1728.4.a.by 1728.a 1.a $3$ $101.955$ 3.3.229.1 None \(0\) \(0\) \(-3\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+(-7+\cdots)q^{11}+\cdots\)
1728.4.a.cb 1728.a 1.a $3$ $101.955$ 3.3.229.1 None \(0\) \(0\) \(3\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{5}+(1-\beta _{2})q^{7}+(-7+3\beta _{1}+\cdots)q^{11}+\cdots\)
1728.4.a.cc 1728.a 1.a $3$ $101.955$ 3.3.148.1 None \(0\) \(0\) \(6\) \(-9\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(2-\beta _{2})q^{5}+(-3-\beta _{1}+\beta _{2})q^{7}+\cdots\)
1728.4.a.ce 1728.a 1.a $3$ $101.955$ 3.3.2708.1 None \(0\) \(0\) \(10\) \(-19\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(3+\beta _{1})q^{5}+(-6-\beta _{2})q^{7}+(-13+\cdots)q^{11}+\cdots\)
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