{
  "id": 5183,
  "curve_key": "0:41102856",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-47573"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 35.06317633220661,
  "faltings_height": 0.9795872701421796,
  "conductor": "238054041",
  "bad_primes": [
    "3",
    "37",
    "139"
  ],
  "discriminant": "-977687946387",
  "regulator": "46.78790799344000254388175507662076600134737431",
  "points": [
    [
      "37",
      "55"
    ],
    [
      "77",
      "639"
    ],
    [
      "127",
      "1414"
    ],
    [
      "259",
      "4162"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #5158: https://elliptic-rank.icarm.cloud/curve/5158. Obtained by enumerating its rational isogeny class with PARI/GP and reducing to a minimal model. Four rational points recovered with PARI/GP and checked exactly; PARI/GP returned rank bounds [4,4]. Rational torsion trivial. Source-attributed isogeny partner.",
  "created_at": "2026-10-21 08:42:54",
  "updated_at": "2026-10-21 08:42:54"
}