{
  "id": 4259,
  "curve_key": "-3342077002881532018439:-298740178717649733589441112028941",
  "ainvs": [
    "1",
    "1",
    "0",
    "69626604226698583718",
    "345764095767031610082236808064"
  ],
  "rank_lower_bound": 12,
  "torsion": [
    2
  ],
  "naive_height": 149.55425403588288,
  "faltings_height": 10.555268497703322,
  "conductor": "246900641867205563351711407820506530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "67",
    "131",
    "149",
    "157",
    "163",
    "239",
    "311",
    "677",
    "821",
    "1051",
    "1489",
    "18199"
  ],
  "discriminant": "-73249393666051819863535667109445244323880469693791946229477500",
  "regulator": "30911218765875.599310104776630596476656557538311587962788186532",
  "points": [
    [
      "-3816741567",
      "156260977536791"
    ],
    [
      "5215457983",
      "922366303025866"
    ],
    [
      "586107100267/4",
      "449460732399501233/8"
    ],
    [
      "3178612720623",
      "5667059893274469751"
    ],
    [
      "-596898253588503/588289",
      "236222048521744262187488/451217663"
    ],
    [
      "-1155517038338/289",
      "288759533843975258/4913"
    ],
    [
      "63645806077/9",
      "29475733322401292/27"
    ],
    [
      "324334647291/49",
      "359187775319536274/343"
    ],
    [
      "9609089415313/4096",
      "189400712636845482919/262144"
    ],
    [
      "60490662834827398/1371241",
      "15170775067881871117057006/1605723211"
    ],
    [
      "157991160782084737/2289169",
      "63288450411944323230230047/3463512697"
    ],
    [
      "8087549271355484224/1006094961",
      "38093346412882300352605445552/31912326067959"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Found by specializing the family associated with curve#802 at T = 46/81. The original PARI/GP computation returned rank bounds [12,12]. Twelve rational points are supplied.",
  "created_at": "2026-10-15 20:44:45",
  "updated_at": "2026-10-15 20:44:45"
}