Ramanujan's famous congruences for the partition function modulo powers of 5, 7, and 11 have inspired much further research. For example, in 2002 Lovejoy and Ono found subprogressions of 5 j n + β 5 (j) for which Ramanujan's congruence mod 5 j could be strengthened to a statement modulo 5 j+1 . Here we provide the analogous results modulo powers of 7 and 11. We require the arithmetic properties of two special elliptic curves.