{
  "id": 4960,
  "curve_key": "-296774608027237871:-124000841102873586038034553",
  "ainvs": [
    "1",
    "0",
    "0",
    "6182804333900789",
    "143519492532448493146865"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 120.69524805022564,
  "faltings_height": 8.162544142774326,
  "conductor": "19104514585275752926831008870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "37",
    "53",
    "149",
    "151",
    "17761",
    "178441",
    "38270569"
  ],
  "discriminant": "-24024700257735587043795249179181500001080968631040",
  "regulator": "47418120415.0945222907557964476199141950995182903119045516675",
  "points": [
    [
      "-20968906",
      "68222845721"
    ],
    [
      "11839826",
      "467308261769"
    ],
    [
      "-11691746",
      "-263875735535"
    ],
    [
      "-10191916",
      "281867089355"
    ],
    [
      "1798076390",
      "76318057715465"
    ],
    [
      "94654826",
      "1255665654269"
    ],
    [
      "60760634",
      "-862300658995"
    ],
    [
      "-21554410",
      "-15441533575"
    ],
    [
      "34207514",
      "628509680441"
    ],
    [
      "25233890",
      "-561798480535"
    ],
    [
      "-16628614",
      "-190018090375"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve #4891, submitted by Ritik Jain: https://elliptic-rank.icarm.cloud/curve/4891.\r\n\r\nThe source model is y^2 + x*y = x^3 - 1982530874182411*x + 20140122959912918182385. Its public entry supplies eleven rational points and no commentary identifying an earlier source.\r\n\r\nApplied the degree-2 isogeny with kernel generated by the rational order-2 point (10792958, -5396479), then converted the target to its minimal model y^2 + x*y = x^3 + 6182804333900789*x + 143519492532448493146865.\r\n\r\nEleven supplied rational points transported through this map and checked exactly on the target curve. Rational torsion Z/2Z. Same rank and conductor as the source; conductor 19104514585275752926831008870. Source-attributed existing curve.",
  "created_at": "2026-10-20 23:53:57",
  "updated_at": "2026-10-20 23:53:57"
}