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On certain abelian varieties obtained from new forms of weight 2 on <i>Γ</i><sub>0</sub>(3<sup>4</sup>) and <i>Γ</i><sub>0</sub>(3<sup>5</sup>)

On certain abelian varieties obtained from new forms of weight 2 on <i>Γ</i><sub>0</sub>(3<sup>4</sup>) and <i>Γ</i><sub>0</sub>(3<sup>5</sup>)

Let N be a positive integer and let Γ 0 ( N ) be the subgroup of SL (2, Z ) defined by all matrices with c ≡ 0 (mod N ). Let S 2 (Γ 0 ( N )) be the space of holomorphic cusp forms of weight 2 …