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Results (13 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2005.1.g.a 2005.g 2005.g $2$ $1.001$ \(\Q(\sqrt{-1}) \) None \(\Q(\sqrt{401}) \) \(2\) \(0\) \(2\) \(-2\) \(q+(1-i)q^{2}-iq^{4}+q^{5}+(-1+i+\cdots)q^{7}+\cdots\)
2005.1.g.b 2005.g 2005.g $8$ $1.001$ \(\Q(\zeta_{20})\) None \(\Q(\sqrt{401}) \) \(-2\) \(0\) \(-2\) \(2\) \(q+(-\zeta_{20}+\zeta_{20}^{4})q^{2}+(\zeta_{20}^{2}-\zeta_{20}^{5}+\cdots)q^{4}+\cdots\)
2005.2.a.a 2005.a 1.a $1$ $16.010$ \(\Q\) None None \(-1\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{8}-3q^{9}-q^{10}+\cdots\)
2005.2.a.b 2005.a 1.a $1$ $16.010$ \(\Q\) None None \(-1\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+3q^{8}-3q^{9}-q^{10}+\cdots\)
2005.2.a.c 2005.a 1.a $3$ $16.010$ \(\Q(\zeta_{18})^+\) None None \(-3\) \(-3\) \(3\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-1-2\beta _{1}+\beta _{2})q^{3}+\cdots\)
2005.2.a.d 2005.a 1.a $25$ $16.010$ None None \(-5\) \(-10\) \(25\) \(-31\) $+$ $\mathrm{SU}(2)$
2005.2.a.e 2005.a 1.a $29$ $16.010$ None None \(-5\) \(-3\) \(-29\) \(12\) $+$ $\mathrm{SU}(2)$
2005.2.a.f 2005.a 1.a $37$ $16.010$ None None \(7\) \(3\) \(-37\) \(-16\) $-$ $\mathrm{SU}(2)$
2005.2.a.g 2005.a 1.a $37$ $16.010$ None None \(11\) \(13\) \(37\) \(34\) $-$ $\mathrm{SU}(2)$
2005.4.a.a 2005.a 1.a $96$ $118.299$ None None \(-27\) \(-42\) \(480\) \(-274\) $-$ $\mathrm{SU}(2)$
2005.4.a.b 2005.a 1.a $96$ $118.299$ None None \(-9\) \(-12\) \(-480\) \(86\) $-$ $\mathrm{SU}(2)$
2005.4.a.c 2005.a 1.a $104$ $118.299$ None None \(15\) \(6\) \(-520\) \(-110\) $+$ $\mathrm{SU}(2)$
2005.4.a.d 2005.a 1.a $104$ $118.299$ None None \(21\) \(48\) \(520\) \(258\) $+$ $\mathrm{SU}(2)$
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