{
  "id": 6328,
  "curve_key": "103500318836738233173241:-30845318009193981742232100656556685",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2156256642432046524443",
    "35700599547498531555528927438422"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 158.9815849383715,
  "faltings_height": 11.207008132916595,
  "conductor": "96945208248998101734062989859091834482633771643168385461666",
  "bad_primes": [
    "2",
    "3",
    "7",
    "23",
    "13582693",
    "7388620094396290949402525182629566146578404258207"
  ],
  "discriminant": "91026897175813265619401912454173996171137945151896241866002214032",
  "regulator": "343906899289932823.1394418111675921126239641043075854896317629119713337432505",
  "points": [
    [
      "33237542274",
      "866342695258117"
    ],
    [
      "20236190295",
      "594101393233348"
    ],
    [
      "-50086401429",
      "4248625304625688"
    ],
    [
      "-20569216557",
      "8446928339739736"
    ],
    [
      "47803081059",
      "-6470059529551772"
    ],
    [
      "20611003884",
      "-117559548773747"
    ],
    [
      "781907739",
      "-5832245570474312"
    ],
    [
      "18481941015",
      "1470328305397588"
    ],
    [
      "-47720910378",
      "5470398841469716"
    ],
    [
      "2724060219",
      "-5463245865606452"
    ],
    [
      "-18315653028",
      "8309619345239821"
    ],
    [
      "61224924144",
      "-11540613262763102"
    ],
    [
      "20588973426",
      "182403078762565"
    ],
    [
      "-38269191432",
      "7884965557014445"
    ],
    [
      "79579598871/4",
      "-6580686944609911/8"
    ],
    [
      "477857761422",
      "328820684856658876"
    ],
    [
      "54774979863",
      "-9051710704025804"
    ],
    [
      "39396471774",
      "3449364281176492"
    ],
    [
      "45639960155",
      "5688337352787768"
    ]
  ],
  "submitter": "The Wren",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-11-01 01:10:03"
    }
  ],
  "commentary": "Jacobian of a genus-one curve from J.-F. Mestre's ten-point construction (quartic points plus Washington map). Rank 19 (19 independent rational points) in Layr-Labs elliptic-rank-challenge-public, file submission/board/1-19-mestre-11010034.ec, commit 281975e5889c3411b215660dd7d433342ebd3e31:\r\nhttps://github.com/Layr-Labs/elliptic-rank-challenge-public",
  "created_at": "2026-11-01 01:09:07",
  "updated_at": "2026-11-01 01:10:02"
}