{
  "id": 347,
  "curve_key": "375603694941439730760042553729:-230799718068566250407400919797320386060094017",
  "ainvs": [
    "1",
    "0",
    "0",
    "-7825076977946661057500886536",
    "267129303320099174770669569025143803236416"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 204.3002484376862,
  "faltings_height": 14.83488926680841,
  "conductor": "71980039431687992091942838657160225518541452772249974246307039430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "23",
    "230409719",
    "3357805369",
    "5404168209821",
    "7586019315246809018734444433"
  ],
  "discriminant": "-161481963868349728343894906983811129192119744590010308336788056503431538562144665600",
  "regulator": "45658817351372557765.84762731104967074203942269027872702843322079565992891893",
  "points": [
    [
      "-269994352556697044/6241",
      "-357134263261356806167547912/493039"
    ],
    [
      "116376796986928330/2209",
      "3447125899280579992778348/103823"
    ],
    [
      "109949136054695176",
      "-36457559385201629517042248"
    ],
    [
      "50651785940488",
      "26973562694658330040"
    ],
    [
      "3345494618949049/64",
      "-15558487284249269508271/512"
    ],
    [
      "39821135577616",
      "136642346228325331192"
    ],
    [
      "21976186516757717606416/55815841",
      "-3181849994888976637542194777854328/417000148111"
    ],
    [
      "1356345325443624995728/4618201",
      "-47908038480877346820268958188520/9924513949"
    ],
    [
      "567470333332610202640/20784481",
      "25748064756758868215010767826824/94756448879"
    ],
    [
      "665466253719971970064/12496225",
      "-1676272119194302949301420634232/44174155375"
    ],
    [
      "40599832698126693136/844561",
      "35163261579684769171697428168/776151559"
    ],
    [
      "53895044707600",
      "-44091570678290354696"
    ],
    [
      "1575222637383952/49",
      "75768315498008614494280/343"
    ],
    [
      "-93011338658384",
      "436232723071273845592"
    ],
    [
      "-1413589876209776/25",
      "90898929294398079112472/125"
    ],
    [
      "63046635759478",
      "-156164138942821557530"
    ],
    [
      "1128212607856144",
      "37782265650034032051448"
    ],
    [
      "6147660794800",
      "468247503506462889304"
    ],
    [
      "340862584566325456/11881",
      "-333314762136602848125876392/1295029"
    ]
  ],
  "submitter": "Christopher R. Hill",
  "commentary": "Found with Rank Hunter v0.7.21; family=Mestre/Fermigier sextuple, generic rank >=11; parameter=14829/16; local status: rigorous rank lower bound >= 19.",
  "created_at": "2026-08-25 10:35:51",
  "updated_at": "2026-08-25 10:35:51"
}