Learn more

Refine search


Results (16 matches)

  displayed columns for results
Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2004.1.g.a 2004.g 2004.g $1$ $1.000$ \(\Q\) \(\Q(\sqrt{-167}) \), \(\Q(\sqrt{-501}) \) \(\Q(\sqrt{3}) \) \(-1\) \(-1\) \(0\) \(0\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
2004.1.g.b 2004.g 2004.g $1$ $1.000$ \(\Q\) \(\Q(\sqrt{-167}) \), \(\Q(\sqrt{-501}) \) \(\Q(\sqrt{3}) \) \(1\) \(1\) \(0\) \(0\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
2004.1.g.c 2004.g 2004.g $2$ $1.000$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-501}) \) None \(-2\) \(2\) \(0\) \(0\) \(q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{8}+\cdots\)
2004.1.g.d 2004.g 2004.g $2$ $1.000$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-501}) \) None \(2\) \(-2\) \(0\) \(0\) \(q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{8}+\cdots\)
2004.1.g.e 2004.g 2004.g $10$ $1.000$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-167}) \) None \(-1\) \(-1\) \(0\) \(0\) \(q+\zeta_{22}^{6}q^{2}+\zeta_{22}^{2}q^{3}-\zeta_{22}q^{4}+\zeta_{22}^{8}q^{6}+\cdots\)
2004.1.g.f 2004.g 2004.g $10$ $1.000$ \(\Q(\zeta_{22})\) \(\Q(\sqrt{-167}) \) None \(1\) \(1\) \(0\) \(0\) \(q-\zeta_{22}^{6}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}q^{4}+\zeta_{22}^{4}q^{6}+\cdots\)
2004.2.a.a 2004.a 1.a $5$ $16.002$ 5.5.149169.1 None None \(0\) \(-5\) \(-3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-\beta _{1}+\beta _{3}-\beta _{4})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
2004.2.a.b 2004.a 1.a $5$ $16.002$ 5.5.161121.1 None None \(0\) \(5\) \(-7\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta _{3}-\beta _{4})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
2004.2.a.c 2004.a 1.a $9$ $16.002$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-9\) \(1\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{1}q^{5}+(-\beta _{3}-\beta _{6})q^{7}+q^{9}+\cdots\)
2004.2.a.d 2004.a 1.a $9$ $16.002$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(9\) \(9\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1-\beta _{1})q^{5}-\beta _{6}q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
2004.2.h.a 2004.h 501.c $56$ $16.002$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2004.3.e.a 2004.e 167.b $56$ $54.605$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
2004.4.a.a 2004.a 1.a $18$ $118.240$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(54\) \(-24\) \(-22\) $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(-1-\beta _{1})q^{5}+(-1+\beta _{5}+\cdots)q^{7}+\cdots\)
2004.4.a.b 2004.a 1.a $19$ $118.240$ \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(0\) \(-57\) \(-8\) \(-14\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-\beta _{1}q^{5}+(-1-\beta _{10})q^{7}+9q^{9}+\cdots\)
2004.4.a.c 2004.a 1.a $22$ $118.240$ None None \(0\) \(66\) \(56\) \(6\) $+$ $\mathrm{SU}(2)$
2004.4.a.d 2004.a 1.a $23$ $118.240$ None None \(0\) \(-69\) \(12\) \(14\) $+$ $\mathrm{SU}(2)$
  displayed columns for results