{
  "id": 229,
  "curve_key": "9743516533894718280825:-994784597579910445241480197858125",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-202989927789473297517",
    "1151371062064532719495377812641"
  ],
  "rank_lower_bound": 17,
  "naive_height": 151.96015803739886,
  "faltings_height": 10.582615256325571,
  "conductor": "30986346452249226528045018007683724606761684860484150",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "12163",
    "26992182881",
    "4165307236463",
    "240927190974505105687"
  ],
  "discriminant": "-37375459960171559857395780326960541388085635113973452493687500",
  "regulator": "10448212595552444.6828230115365136877253067334401168356078834148626238197",
  "points": [
    [
      "7037990894",
      "-267108038594947"
    ],
    [
      "10351315964",
      "-399127987283707"
    ],
    [
      "9989176439",
      "-347028484970332"
    ],
    [
      "8568582824",
      "202839608620313"
    ],
    [
      "7399727885",
      "-233413493097169"
    ],
    [
      "16003609244",
      "-1414777276909147"
    ],
    [
      "-8335261176",
      "-1504734911319937"
    ],
    [
      "-6402302161",
      "-1479370627219132"
    ],
    [
      "10572774245",
      "-432517338548284"
    ],
    [
      "-7012120786",
      "1493313959892293"
    ],
    [
      "168235468049",
      "68764723550231588"
    ],
    [
      "24378863795/4",
      "2999674420649533/8"
    ],
    [
      "8862082769",
      "220119583035428"
    ],
    [
      "213351414551/4",
      "95353143544380799/8"
    ],
    [
      "533117324",
      "1021422826196063"
    ],
    [
      "128876285",
      "-1060760459059516"
    ],
    [
      "5035853549",
      "-506808060708412"
    ]
  ],
  "submitter": "Alexey Pozdnyakov",
  "commentary": "Generated with assistance from OpenAI Codex, based on GPT-5. Method: Generalized Mestre/Fermigier quartic-family search: Mestre-Nagao stage sieve, high-M rescore, exact-height triage, and conductor analysis. Candidate came from family mestre_u4_v6 with specialization T=2118/1.",
  "created_at": "2026-06-25 23:18:46",
  "updated_at": "2026-07-01 22:34:39"
}