{
  "id": 5793,
  "curve_key": "0:23702266860593256",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-27433179236798"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 75.40869417320816,
  "faltings_height": 4.341713756892308,
  "conductor": "641251020813674852592574641",
  "bad_primes": [
    "3",
    "13",
    "649306017439"
  ],
  "discriminant": "-325114267552533150264435342987",
  "regulator": "149968378.4841974263958217707706619135745739626072362161375",
  "points": [
    [
      "30160",
      "33598"
    ],
    [
      "122993/4",
      "10238445/8"
    ],
    [
      "37972",
      "5226625"
    ],
    [
      "41470",
      "6624598"
    ],
    [
      "49192",
      "9571009"
    ],
    [
      "53210",
      "11100473"
    ],
    [
      "55900",
      "12134401"
    ],
    [
      "66872",
      "16480574"
    ],
    [
      "82784",
      "23235777"
    ],
    [
      "2269033/64",
      "2119126325/512"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Specialization t = -975/928 of a generic rank-four Mordell family derived from the Burkhardt parametrization with construction parameters (-9, 8, -2).\r\n\r\nThe specialization was identified in a coordinated multi-family search using a 328-prime Mestre–Nagao sieve. \r\nPARI/GP 2.17.4 returned matching computational rank bounds [10,10].",
  "created_at": "2026-10-25 10:31:19",
  "updated_at": "2026-10-25 10:31:19"
}