Explicit mock Heegner points and BSD formula on certain Mordell curves

Sumita Gunri, Somnath Jha, Dipramit Majumdar

For a natural number $a$, let $E_{2a}$ be the Mordell elliptic curve $X^3+Y^3=2a$. We give an explicit construction of (mock) Heegner point on the Mordell curve $E_{2p}$ for a pri…