{
  "id": 4287,
  "curve_key": "-11159195295056:-3775017646412350208",
  "ainvs": [
    "0",
    "-1",
    "0",
    "232483235314",
    "4369155892639560"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 90.12985489231248,
  "faltings_height": 5.579859057617754,
  "conductor": "1739383412924152840357920",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "23",
    "31",
    "43",
    "139",
    "331",
    "6121",
    "1230769"
  ],
  "discriminant": "-812429981788170592686048309915840960",
  "regulator": "3271578648.902436167598643564661241729670450238899062277604",
  "points": [
    [
      "-13724",
      "34292432"
    ],
    [
      "52524",
      "129325188"
    ],
    [
      "5093356",
      "11546501932"
    ],
    [
      "381924",
      "385836288"
    ],
    [
      "77956",
      "151546568"
    ],
    [
      "1357164",
      "1679177652"
    ],
    [
      "4098789/4",
      "9186179931/8"
    ],
    [
      "12662701/4",
      "-45582550631/8"
    ],
    [
      "447724",
      "445203988"
    ],
    [
      "691884",
      "704576028"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4097, submitted by Michael Rubinstein and sourced from his elliptic-curves-by-rank repository. This isogenous curve has the same rank and conductor, with smaller absolute minimal discriminant, Faltings height and naive height. The ten supplied points were transported from the source curve.",
  "created_at": "2026-10-16 18:43:10",
  "updated_at": "2026-10-16 18:43:10"
}