{
  "id": 4761,
  "curve_key": "0:2031264",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-2351"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 29.04833763468825,
  "faltings_height": 0.47835071201564955,
  "conductor": "596937708",
  "bad_primes": [
    "2",
    "3",
    "2351"
  ],
  "discriminant": "-2387750832",
  "regulator": "87.03534071734921379959530071504573070499458191",
  "points": [
    [
      "15",
      "32"
    ],
    [
      "18",
      "59"
    ],
    [
      "30",
      "157"
    ],
    [
      "378",
      "7349"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Tom Womack's 2003 thesis, Explicit Descent on Elliptic Curves, Table 3.3: https://johncremona.github.io/theses/womack.pdf. The Mordell curve y^2=x^3-2351. I recovered four rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [4,4]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:28:54",
  "updated_at": "2026-10-20 21:28:54"
}