{
  "id": 6260,
  "curve_key": "5381429713980950896:-9792950642123022084167146720",
  "ainvs": [
    "0",
    "1",
    "0",
    "-112113119041269810",
    "11334433576197272916992409"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 129.38845727656616,
  "faltings_height": 8.794714418113173,
  "conductor": "42638728013663757881245066031834182468289480508",
  "bad_primes": [
    "2",
    "3",
    "31",
    "563",
    "15920806019323",
    "12787565016588072544063606811"
  ],
  "discriminant": "34689334117708341516897260901123144825631462920010512",
  "regulator": "35603945556192113.2899591982582192749535714373617863134197172642108455829",
  "points": [
    [
      "3403314606",
      "-197607795558651"
    ],
    [
      "-117383406",
      "4783016137617"
    ],
    [
      "396391644",
      "-5401601297817"
    ],
    [
      "17198483934/49",
      "-1338296518127043/343"
    ],
    [
      "305997873",
      "-2383291048245"
    ],
    [
      "-76230519306/1369",
      "-211318432572938553/50653"
    ],
    [
      "-1179724146/121",
      "-4691956377501297/1331"
    ],
    [
      "49174391712/169",
      "4019860168713225/2197"
    ],
    [
      "1021052224776/3481",
      "394300838472124329/205379"
    ],
    [
      "-163619484",
      "5029712932401"
    ],
    [
      "14022642",
      "3124911003471"
    ],
    [
      "475776804",
      "8105069209743"
    ],
    [
      "13993017681",
      "1654792729460901"
    ],
    [
      "-22364283/4",
      "27667848407295/8"
    ],
    [
      "270706180737/3721",
      "428456286198035091/226981"
    ],
    [
      "9653060958726/97969",
      "34205806701293409621/30664297"
    ],
    [
      "32741091422877/13924",
      "185517369251993439405/1643032"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Jacobian of a genus-one curve from J.-F. Mestre's ten-point construction. Rank 17 proven (independent generators plus a matching 2-descent upper bound) in M. Rubinstein's elliptic-curves-by-rank collection, file mestre/mestre_rank_17.tsv.gz:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-31 23:17:19",
  "updated_at": "2026-10-31 23:17:19"
}