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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2735.1.d.a 2735.d 2735.d $15$ $1.365$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-2735}) \) None \(-1\) \(-1\) \(15\) \(-1\) \(q+\beta _{12}q^{2}-\beta _{1}q^{3}+(1-\beta _{7})q^{4}+q^{5}+\cdots\)
2735.1.d.b 2735.d 2735.d $15$ $1.365$ \(\Q(\zeta_{62})^+\) $D_{31}$ \(\Q(\sqrt{-2735}) \) None \(1\) \(1\) \(-15\) \(1\) \(q-\beta _{12}q^{2}+\beta _{1}q^{3}+(1-\beta _{7})q^{4}-q^{5}+\cdots\)
  displayed columns for results