Liftings and Borcherds Products

Elliptic curves and Thompson's sporadic simple group

“…(Γ 0 (4N)) be the weight 3 2 cusp form associated to G E under the Shintani lift (see [Hofmann 2017] for an overview of the Shintani lift). For N ∈ {14, 19} the dimension of S + 3 2 (Γ 0 (4N)) is 1, so for an elliptic curve of conductor N, the weight 3 2 cusp forms g E (τ ) defined as above are the same as the cusp form f g (τ ) associated to g ∈ {14A, 19A} in Section 3.…”