{
  "id": 4303,
  "curve_key": "-102229591342919:-264455604448972991405",
  "ainvs": [
    "1",
    "1",
    "0",
    "2129783152978",
    "306083762929291740"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 96.77472688578396,
  "faltings_height": 6.13776001255508,
  "conductor": "671251925040138068164062",
  "bad_primes": [
    "2",
    "3",
    "7",
    "23",
    "31",
    "43",
    "107",
    "139",
    "193",
    "23041",
    "7881721"
  ],
  "discriminant": "-658754001012993194397931407867303761928",
  "regulator": "2993864642.293873953323916089660794390928364954786075938500",
  "points": [
    [
      "5906779",
      "14794817742"
    ],
    [
      "3665991",
      "-7576984206"
    ],
    [
      "54331",
      "-649609641"
    ],
    [
      "-8039",
      "537555800"
    ],
    [
      "476221",
      "1194890324"
    ],
    [
      "-284289/4",
      "-3142771893/8"
    ],
    [
      "2780029",
      "5262883604"
    ],
    [
      "-1249619/81",
      "381059359255/729"
    ],
    [
      "-4738121/36",
      "-33093466663/216"
    ],
    [
      "260229",
      "-937113396"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4095, submitted by Michael Rubinstein and sourced from his elliptic-curves-by-rank repository. This isogenous curve has the same rank and conductor. The ten supplied points were transported from the source curve.",
  "created_at": "2026-10-16 19:13:05",
  "updated_at": "2026-10-16 19:13:05"
}