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Results (28 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
296.1.h.a 296.h 296.h $2$ $0.148$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-74}) \) None \(-2\) \(-1\) \(1\) \(0\) \(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
296.1.h.b 296.h 296.h $2$ $0.148$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-74}) \) None \(2\) \(-1\) \(-1\) \(0\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
1184.1.h.a 1184.h 296.h $2$ $0.591$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-74}) \) None \(0\) \(1\) \(-1\) \(0\) \(q+\beta q^{3}+(-1+\beta )q^{5}+\beta q^{9}+(1-\beta )q^{11}+\cdots\)
1184.1.h.b 1184.h 296.h $2$ $0.591$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-74}) \) None \(0\) \(1\) \(1\) \(0\) \(q+\beta q^{3}+(1-\beta )q^{5}+\beta q^{9}+(1-\beta )q^{11}+\cdots\)
1480.1.h.e 1480.h 1480.h $2$ $0.739$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-74}) \) \(\Q(\sqrt{185}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}-iq^{5}+iq^{8}+q^{9}-q^{10}+\cdots\)
1480.1.h.f 1480.h 1480.h $8$ $0.739$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-74}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{20}^{5}q^{2}+(\zeta_{20}^{2}+\zeta_{20}^{8})q^{3}-q^{4}+\cdots\)
2664.1.m.a 2664.m 296.h $2$ $1.330$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-74}) \) None \(-2\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{4}+(1-\beta )q^{5}-q^{8}+(-1+\cdots)q^{10}+\cdots\)
2664.1.m.b 2664.m 296.h $2$ $1.330$ \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-74}) \) None \(2\) \(0\) \(-1\) \(0\) \(q+q^{2}+q^{4}+(-1+\beta )q^{5}+q^{8}+(-1+\cdots)q^{10}+\cdots\)
2664.1.bw.a 2664.bw 2664.aw $2$ $1.330$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-74}) \) None \(-1\) \(2\) \(-2\) \(0\) \(q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\cdots\)
2664.1.bw.b 2664.bw 2664.aw $2$ $1.330$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-74}) \) None \(1\) \(2\) \(2\) \(0\) \(q+\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\)
2664.1.bw.c 2664.bw 2664.aw $8$ $1.330$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-74}) \) None \(-4\) \(-2\) \(2\) \(0\) \(q+\zeta_{30}^{10}q^{2}+\zeta_{30}^{12}q^{3}-\zeta_{30}^{5}q^{4}+\cdots\)
2664.1.bw.d 2664.bw 2664.aw $8$ $1.330$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-74}) \) None \(4\) \(-2\) \(-2\) \(0\) \(q-\zeta_{30}^{10}q^{2}+\zeta_{30}^{12}q^{3}-\zeta_{30}^{5}q^{4}+\cdots\)
3256.1.br.a 3256.br 3256.ar $20$ $1.625$ \(\Q(\zeta_{50})\) \(\Q(\sqrt{-74}) \) None \(-5\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{5}q^{2}+(-\zeta_{50}^{9}-\zeta_{50}^{21})q^{3}+\cdots\)
3256.1.br.b 3256.br 3256.ar $20$ $1.625$ \(\Q(\zeta_{50})\) \(\Q(\sqrt{-74}) \) None \(5\) \(0\) \(0\) \(0\) \(q+\zeta_{50}^{5}q^{2}+(-\zeta_{50}^{9}-\zeta_{50}^{21})q^{3}+\cdots\)
3848.1.l.a 3848.l 3848.l $2$ $1.920$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-26}) \), \(\Q(\sqrt{-74}) \) \(\Q(\sqrt{481}) \) \(0\) \(-4\) \(0\) \(0\) \(q-iq^{2}-q^{3}-q^{4}-iq^{5}+2iq^{6}+\cdots\)
3848.1.l.g 3848.l 3848.l $8$ $1.920$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-74}) \) None \(0\) \(4\) \(0\) \(0\) \(q+\zeta_{20}^{5}q^{2}+(-\zeta_{20}^{4}+\zeta_{20}^{6})q^{3}+\cdots\)
3848.1.cb.a 3848.cb 3848.bb $4$ $1.920$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-74}) \) None \(0\) \(4\) \(0\) \(0\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\cdots\)
3848.1.cb.b 3848.cb 3848.bb $16$ $1.920$ \(\Q(\zeta_{60})\) \(\Q(\sqrt{-74}) \) None \(0\) \(-4\) \(0\) \(0\) \(q+\zeta_{60}^{5}q^{2}+(\zeta_{60}^{14}+\zeta_{60}^{26})q^{3}+\cdots\)
3848.1.ct.a 3848.ct 3848.bt $2$ $1.920$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-74}) \) None \(-1\) \(-2\) \(-2\) \(0\) \(q-\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}-q^{5}+2\zeta_{6}^{2}q^{6}+\cdots\)
3848.1.ct.b 3848.ct 3848.bt $2$ $1.920$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-74}) \) None \(1\) \(-2\) \(2\) \(0\) \(q+\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}-2\zeta_{6}^{2}q^{6}+\cdots\)
3848.1.ct.c 3848.ct 3848.bt $8$ $1.920$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-74}) \) None \(-4\) \(2\) \(2\) \(0\) \(q+\zeta_{30}^{10}q^{2}+(-\zeta_{30}^{7}-\zeta_{30}^{13})q^{3}+\cdots\)
3848.1.ct.d 3848.ct 3848.bt $8$ $1.920$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-74}) \) None \(4\) \(2\) \(-2\) \(0\) \(q-\zeta_{30}^{10}q^{2}+(-\zeta_{30}^{7}-\zeta_{30}^{13})q^{3}+\cdots\)
888.2.c.c 888.c 888.c $20$ $7.091$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) \(\Q(\sqrt{-74}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{2}-\beta _{12}q^{3}-2q^{4}+\beta _{16}q^{5}+\cdots\)
296.3.h.a 296.h 296.h $5$ $8.065$ 5.5.273800000.1 \(\Q(\sqrt{-74}) \) None \(-10\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2q^{2}+\beta _{2}q^{3}+4q^{4}+\beta _{4}q^{5}-2\beta _{2}q^{6}+\cdots\)
296.3.h.b 296.h 296.h $5$ $8.065$ 5.5.273800000.1 \(\Q(\sqrt{-74}) \) None \(10\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2q^{2}+\beta _{2}q^{3}+4q^{4}-\beta _{4}q^{5}+2\beta _{2}q^{6}+\cdots\)
2368.2.e.b 2368.e 296.e $20$ $18.909$ \(\mathbb{Q}[x]/(x^{20} + \cdots)\) \(\Q(\sqrt{-74}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{8}q^{3}+\beta _{11}q^{5}+(-3+\beta _{2})q^{9}+\cdots\)
1184.3.h.a 1184.h 296.h $5$ $32.262$ 5.5.273800000.1 \(\Q(\sqrt{-74}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{2}q^{3}-\beta _{4}q^{5}+(9+2\beta _{1}+\beta _{4})q^{9}+\cdots\)
1184.3.h.b 1184.h 296.h $5$ $32.262$ 5.5.273800000.1 \(\Q(\sqrt{-74}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\beta _{2}q^{3}+\beta _{4}q^{5}+(9+2\beta _{1}+\beta _{4})q^{9}+\cdots\)
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