← home  ·  all curves  ·  JSON ↓ curve #273 y 2 + xy = x 3 − 201769035260418549083594900060734240952308696994802735114305555x + 1151107939141058565733479426024323225135665982951300586808823640527729578307228357301072889377 a-invariants [1, 0, 0, -201769035260418549083594900060734240952308696994802735114305555, 1151107939141058565733479426024323225135665982951300586808823640527729578307228357301072889377] rank (lower bound) ≥ 30 conductor (N) 2381958488309327728488641214562148525681586925734398576894288277390640894675828305511266759053188773997283310012808983216600083938367948090232306090 ★ record for rank ≥ 30 naive height 442.0854 ★ record for rank ≥ 30 Faltings height 34.7705 ★ record for rank ≥ 30 discriminant (Δ) -46714661255308767314567688733841531918983356002159772613256840842851650254036518701100578342601553513579222272710220496887616034526983492843954090554197033638137245037791044053017600000000 ★ record for rank ≥ 30 primes of bad reduction 2, 3, 5, 7, 13, 31, 41, 47, 53, 67,…