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Results (28 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
592.1.b.a 592.b 148.b $1$ $0.295$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-37}) \) \(\Q(\sqrt{37}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}+q^{25}-q^{37}-2q^{41}+q^{49}+\cdots\)
1332.1.b.a 1332.b 148.b $1$ $0.665$ \(\Q\) \(\Q(\sqrt{-111}) \), \(\Q(\sqrt{-37}) \) \(\Q(\sqrt{3}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{16}+2q^{23}+q^{25}+\cdots\)
1332.1.b.b 1332.b 148.b $1$ $0.665$ \(\Q\) \(\Q(\sqrt{-111}) \), \(\Q(\sqrt{-37}) \) \(\Q(\sqrt{3}) \) \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{16}-2q^{23}+q^{25}+\cdots\)
2368.1.b.a 2368.b 148.b $1$ $1.182$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-37}) \) \(\Q(\sqrt{37}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}+q^{25}+q^{37}-2q^{41}+q^{49}+\cdots\)
2812.1.bj.a 2812.bj 2812.aj $2$ $1.403$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-37}) \) None \(-1\) \(0\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{8}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{16}+\cdots\)
2812.1.bj.b 2812.bj 2812.aj $2$ $1.403$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-37}) \) None \(1\) \(0\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{16}+\cdots\)
2812.1.fj.a 2812.fj 2812.ej $6$ $1.403$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{7}q^{2}-\zeta_{18}^{5}q^{4}-\zeta_{18}^{3}q^{8}+\cdots\)
2812.1.fj.b 2812.fj 2812.ej $6$ $1.403$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{7}q^{2}-\zeta_{18}^{5}q^{4}+\zeta_{18}^{3}q^{8}+\cdots\)
3404.1.bn.a 3404.bn 3404.an $10$ $1.699$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-37}) \) None \(-1\) \(0\) \(0\) \(0\) \(q+\zeta_{22}^{8}q^{2}-\zeta_{22}^{5}q^{4}+\zeta_{22}^{2}q^{8}+\cdots\)
3404.1.bn.b 3404.bn 3404.an $10$ $1.699$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-37}) \) None \(1\) \(0\) \(0\) \(0\) \(q-\zeta_{22}^{8}q^{2}-\zeta_{22}^{5}q^{4}-\zeta_{22}^{2}q^{8}+\cdots\)
3700.1.b.a 3700.b 148.b $1$ $1.847$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
3700.1.b.b 3700.b 148.b $1$ $1.847$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{18}+\cdots\)
3700.1.b.c 3700.b 148.b $1$ $1.847$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{9}+q^{16}+q^{18}+\cdots\)
3700.1.b.d 3700.b 148.b $1$ $1.847$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{9}+q^{16}+q^{18}+\cdots\)
3700.1.g.a 3700.g 740.g $2$ $1.847$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{8}-q^{9}+q^{16}+iq^{18}+\cdots\)
3700.1.g.b 3700.g 740.g $2$ $1.847$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{8}-q^{9}+q^{16}+iq^{18}+\cdots\)
148.3.b.a 148.b 148.b $1$ $4.033$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}+4q^{4}-8q^{8}+9q^{9}+2^{4}q^{16}+\cdots\)
148.3.b.b 148.b 148.b $1$ $4.033$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(2\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}+4q^{4}+8q^{8}+9q^{9}+2^{4}q^{16}+\cdots\)
1184.2.g.d 1184.g 37.b $4$ $9.454$ \(\Q(i, \sqrt{37})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-3q^{9}+\beta _{1}q^{19}+(\beta _{1}+\beta _{2})q^{23}+5q^{25}+\cdots\)
1332.2.g.a 1332.g 444.g $4$ $10.636$ \(\Q(\sqrt{-2}, \sqrt{37})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{2}-2q^{4}-2\beta _{1}q^{8}+4q^{16}+\cdots\)
1332.2.g.b 1332.g 444.g $4$ $10.636$ \(\Q(\sqrt{-2}, \sqrt{37})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{2}-2q^{4}-2\beta _{1}q^{8}+4q^{16}+\cdots\)
148.5.b.a 148.b 148.b $1$ $15.299$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(-4\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-4q^{2}+2^{4}q^{4}-2^{6}q^{8}+3^{4}q^{9}+2^{8}q^{16}+\cdots\)
148.5.b.b 148.b 148.b $1$ $15.299$ \(\Q\) \(\Q(\sqrt{-37}) \) None \(4\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+4q^{2}+2^{4}q^{4}+2^{6}q^{8}+3^{4}q^{9}+2^{8}q^{16}+\cdots\)
592.3.b.a 592.b 148.b $2$ $16.131$ \(\Q(\sqrt{37}) \) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+9q^{9}+\beta q^{19}-3\beta q^{23}+5^{2}q^{25}+\cdots\)
2368.2.g.i 2368.g 37.b $4$ $18.909$ \(\Q(i, \sqrt{37})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-3q^{9}+\beta _{1}q^{19}+(-\beta _{1}-\beta _{2})q^{23}+\cdots\)
5328.2.l.a 5328.l 444.g $4$ $42.544$ \(\Q(\sqrt{-2}, \sqrt{37})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(-1-\beta _{1})q^{19}-\beta _{2}q^{23}-5q^{25}+\cdots\)
5328.2.l.c 5328.l 444.g $4$ $42.544$ \(\Q(\sqrt{-2}, \sqrt{37})\) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+(1+\beta _{1})q^{19}-\beta _{2}q^{23}-5q^{25}+(5+\cdots)q^{31}+\cdots\)
592.5.b.b 592.b 148.b $2$ $61.195$ \(\Q(\sqrt{37}) \) \(\Q(\sqrt{-37}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+3^{4}q^{9}-3\beta q^{19}+7\beta q^{23}+5^{4}q^{25}+\cdots\)
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