{
  "id": 6355,
  "curve_key": "12952700810958318921:-36002812884111757860958321605",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-269847933561631644",
    "41669922387035777210961524"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 132.02350799137253,
  "faltings_height": 9.017004789932452,
  "conductor": "3132515721762138777881344143127845688735945148061126",
  "bad_primes": [
    "2",
    "3",
    "69112545553",
    "2518047191237533115412564882645943533019"
  ],
  "discriminant": "507467546925466482016777751186711001575223113985902412",
  "regulator": "8054550284603466.6104004701185111625225230160767554329007929853931068879213",
  "points": [
    [
      "171214342",
      "-698027783750"
    ],
    [
      "167385406",
      "-1091458828496"
    ],
    [
      "142887304",
      "2455407642118"
    ],
    [
      "428681926",
      "-2184039784256"
    ],
    [
      "432505870",
      "2421400810978"
    ],
    [
      "496336510",
      "5477616899248"
    ],
    [
      "146844223",
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    ],
    [
      "128918503",
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    ],
    [
      "412720687",
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    ],
    [
      "434521441",
      "-2541224360840"
    ],
    [
      "30573445",
      "-5783467501172"
    ],
    [
      "-430237928",
      "8839314980218"
    ],
    [
      "762941368",
      "-16730125163798"
    ],
    [
      "-204073013",
      "9393707330515"
    ],
    [
      "836173000",
      "-20017166668718"
    ],
    [
      "602121853",
      "-9873917378780"
    ],
    [
      "-292446167",
      "9776368793527"
    ],
    [
      "642012451",
      "-11535002307206"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "From the Layr-Labs elliptic-rank-challenge-public repository (https://github.com/Layr-Labs/elliptic-rank-challenge-public, file submission/board/1-18-m10-kh-a2.ec), where it is recorded as a find of that challenge; not our discovery. Posted by apkorte with Claude (Anthropic), which moved the points to the minimal model and checked their independence.",
  "created_at": "2026-11-01 10:08:27",
  "updated_at": "2026-11-01 10:08:27"
}