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Results (17 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
292.1.b.a 292.b 292.b $1$ $0.146$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-73}) \) \(\Q(\sqrt{73}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
1168.1.c.a 1168.c 292.b $2$ $0.583$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-73}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{7}+q^{9}+\beta q^{11}+q^{25}+\beta q^{31}+\cdots\)
2044.1.bk.a 2044.bk 2044.ak $2$ $1.020$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-73}) \) None \(-1\) \(0\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{7}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
2044.1.bk.b 2044.bk 2044.ak $2$ $1.020$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-73}) \) None \(-1\) \(0\) \(0\) \(2\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{7}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
2044.1.bk.c 2044.bk 2044.ak $4$ $1.020$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-73}) \) None \(2\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\)
2628.1.e.a 2628.e 292.b $1$ $1.312$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-73}) \) \(\Q(\sqrt{73}) \) \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{16}+q^{25}+q^{32}+\cdots\)
2628.1.e.b 2628.e 292.b $2$ $1.312$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-73}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta q^{7}-q^{8}-\beta q^{11}+\beta q^{14}+\cdots\)
2628.1.e.c 2628.e 292.b $2$ $1.312$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-73}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta q^{7}+q^{8}+\beta q^{11}-\beta q^{14}+\cdots\)
3212.1.bf.a 3212.bf 3212.af $4$ $1.603$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-73}) \) None \(-1\) \(0\) \(0\) \(-3\) \(q-\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}+(-1-\zeta_{10}^{4}+\cdots)q^{7}+\cdots\)
3212.1.bf.b 3212.bf 3212.af $4$ $1.603$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-73}) \) None \(-1\) \(0\) \(0\) \(3\) \(q-\zeta_{10}q^{2}+\zeta_{10}^{2}q^{4}+(1+\zeta_{10}^{4})q^{7}+\cdots\)
3212.1.bf.c 3212.bf 3212.af $8$ $1.603$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-73}) \) None \(2\) \(0\) \(0\) \(0\) \(q+\zeta_{20}^{2}q^{2}+\zeta_{20}^{4}q^{4}+(\zeta_{20}^{3}+\zeta_{20}^{5}+\cdots)q^{7}+\cdots\)
292.3.b.a 292.b 292.b $2$ $7.956$ \(\Q(\sqrt{146}) \) \(\Q(\sqrt{-73}) \) None \(-4\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}+4q^{4}+\beta q^{7}-8q^{8}+9q^{9}+\cdots\)
292.3.b.b 292.b 292.b $2$ $7.956$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-73}) \) None \(4\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}+4q^{4}+5\beta q^{7}+8q^{8}+9q^{9}+\cdots\)
2336.2.f.d 2336.f 73.b $4$ $18.653$ 4.0.42632.1 \(\Q(\sqrt{-73}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{7}-3q^{9}-\beta _{2}q^{11}+5q^{25}+\cdots\)
2336.2.f.e 2336.f 73.b $4$ $18.653$ 4.0.42632.1 \(\Q(\sqrt{-73}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{7}-3q^{9}-\beta _{2}q^{11}+5q^{25}+\cdots\)
1168.3.c.a 1168.c 292.b $2$ $31.826$ \(\Q(\sqrt{73}) \) \(\Q(\sqrt{-73}) \) None \(0\) \(0\) \(0\) \(-10\) $\mathrm{U}(1)[D_{2}]$ \(q+(-5+\beta )q^{7}+9q^{9}+(-13+\beta )q^{11}+\cdots\)
1168.3.c.c 1168.c 292.b $2$ $31.826$ \(\Q(\sqrt{73}) \) \(\Q(\sqrt{-73}) \) None \(0\) \(0\) \(0\) \(10\) $\mathrm{U}(1)[D_{2}]$ \(q+(5-\beta )q^{7}+9q^{9}+(13-\beta )q^{11}+5^{2}q^{25}+\cdots\)
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