{
  "id": 4553,
  "curve_key": "3372983233:-117177325910945",
  "ainvs": [
    "1",
    "1",
    "1",
    "-70270484",
    "135592625621"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 65.81719026620347,
  "faltings_height": 3.5265636957602258,
  "conductor": "12894882",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "113"
  ],
  "discriminant": "14261549844467084169314304",
  "regulator": "9.9528750738412392952552781696638670318962452",
  "points": [
    [
      "7957",
      "279425"
    ],
    [
      "-8323",
      "383617"
    ],
    [
      "-4473",
      "602605"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Independent bounded rational-parameter specialization search of the Dujella-Peral Z/2Z x Z/4Z family using the conic coordinates in Manvir Jaswal (2026), Section 7, Zenodo record 23437118. Parameter k = -3/4. Family attribution: Andrej Dujella and Juan Carlos Peral; conic parametrization attribution: Manvir Jaswal. No rank was inherited from the family.\r\n\r\nFresh PARI/GP 2.15.4 rank bounds [3,3]. Three rational points are supplied and passed a local replay of the ICARM exact mod-2 independence certificate. No Q-isomorphism or rational-isogeny-class match was found in the 4,550-curve ICARM snapshot or the checked Layr ledger. The LMFDB conductor search returned no match.\r\n\r\nProjected within the matching torsion and rank pool: 8th of 141 by conductor. Literature-wide novelty remains open.",
  "created_at": "2026-10-17 22:49:38",
  "updated_at": "2026-10-17 22:49:38"
}