{
  "id": 4304,
  "curve_key": "73834995070738970800:592100693672652291937858784000",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1538229063973728558",
    "-685301729300535025882283112"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 137.2450934431742,
  "faltings_height": 9.390751864902173,
  "conductor": "413720850995012265670517042400",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "23",
    "31",
    "37",
    "47",
    "61",
    "101",
    "109",
    "409",
    "1217",
    "3137"
  ],
  "discriminant": "30055617704316686393875235649686778792446040712977000000",
  "regulator": "1280247923219.92339970708732513621508639220571823889547430183",
  "points": [
    [
      "-103772082762/121",
      "2352550674873000/1331"
    ],
    [
      "-648030522",
      "6275461071600"
    ],
    [
      "-7755254458106/12321",
      "7920251161350631424/1367631"
    ],
    [
      "-5955060966354/10609",
      "1234916259780048468/1092727"
    ],
    [
      "-790320306",
      "-6062423917284"
    ],
    [
      "-3176769963/4",
      "-47610359497575/8"
    ],
    [
      "467112845637/4",
      "-319233255997905375/8"
    ],
    [
      "2211934278",
      "-82063780780800"
    ],
    [
      "5798467581/4",
      "91586772173043/8"
    ],
    [
      "6318711573/4",
      "230018016124089/8"
    ],
    [
      "3934666017318/1681",
      "-6368435600522797200/68921"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from my curve#4254, found in a point-constrained cover search using the X1008 family associated with curve#4118. This isogenous curve has the same rank and conductor. The eleven supplied points were transported from the source curve.",
  "created_at": "2026-10-16 19:15:52",
  "updated_at": "2026-10-16 19:15:52"
}