{
  "id": 4759,
  "curve_key": "6780590923056:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-141262310897",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 88.63525611262752,
  "faltings_height": 5.454511754360451,
  "conductor": "638561295358741918227488",
  "bad_primes": [
    "2",
    "41",
    "769",
    "2081",
    "2153"
  ],
  "discriminant": "180409288463515287998875122054673472",
  "regulator": "8963950.68535338327896715818384246872930950870524605062",
  "points": [
    [
      "-341284",
      "-91976038"
    ],
    [
      "-283761",
      "131286756"
    ],
    [
      "65611849/144",
      "-300436656571/1728"
    ],
    [
      "11381969/4",
      "38063101489/8"
    ],
    [
      "-126116/9",
      "-1200435146/27"
    ],
    [
      "53000249/121",
      "-198148540676/1331"
    ],
    [
      "601409",
      "-364100084"
    ],
    [
      "-1449104/9",
      "-3679406092/27"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Quartic twist y^2 = x^3 + a x with a = -141262310897. Source: Aguirre, Lozano-Robledo, Peral, 'Elliptic curves of maximal rank', Table 2 (Rev. Mat. Iberoamericana proc. 2008; preprint https://alozano.clas.uconn.edu/wp-content/uploads/sites/490/2014/01/ALP-2-23-07.pdf).",
  "created_at": "2026-10-20 21:28:48",
  "updated_at": "2026-10-20 21:28:48"
}