{
  "id": 5499,
  "curve_key": "0:-346742424",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "401322"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    3
  ],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 39.32818553665289,
  "faltings_height": 1.3350047038460358,
  "conductor": "14447601",
  "bad_primes": [
    "3",
    "7",
    "181"
  ],
  "discriminant": "-69577724885067",
  "regulator": "405.42474286938030498751500034174189188288126",
  "points": [
    [
      "44",
      "697"
    ],
    [
      "-943/16",
      "28345/64"
    ],
    [
      "9018830/24649",
      "27193570213/3869893"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Reusable rational 3-isogeny transform of hdeping’s ICARM curve #5179:\r\nhttps://elliptic-rank.icarm.cloud/curve/5179\r\n\r\nThe source model is y^2 = x^3 + x^2 - 10835701. Applying the standard rational 3-isogeny and the recorded rational scaling gives the target model [0,0,1,0,401322]. The three submitted points are exact transported points.\r\n\r\nPARI/GP 2.17.4 returned rank bounds [3,3], torsion Z/3Z, conductor 14447601, and minimal discriminant -69577724885067. Exact quadratic-character certification at 11 good primes gives F2 rank 3, proving the three submitted points independent modulo torsion.",
  "created_at": "2026-10-22 12:53:27",
  "updated_at": "2026-10-22 12:53:27"
}