An elliptic curve of rank ≥ 30

A new elliptic curve with rank at least 30 has been found, setting a record for the smallest conductor among curves of rank ≥ 30. The curve, denoted #273, has a conductor of 2.38×10^150 and a naive height of 442.0854, also records. The witness consists of 30 independent points, submitted by ranksunbounded on 2026-08-20.