{
  "id": 98,
  "curve_key": "3896584043260010001837988449:-266760589578618446337644956179397294034193",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-81178834234583541704958093",
    "308750682382680533525277345167136070581"
  ],
  "rank_lower_bound": 18,
  "naive_height": 190.7743404293514,
  "faltings_height": 13.864228819343843,
  "conductor": "78703766491526567026991736810838956441659641637530859417300830",
  "bad_primes": [
    "2",
    "5",
    "11",
    "13",
    "37",
    "89",
    "257",
    "179407",
    "378296549",
    "3677123397354060259",
    "260588146825380416113"
  ],
  "discriminant": "-6943255656099873846088189823650058376374717862862923480133566806025633174732800",
  "regulator": "73374077163928442.491606296355008103610686750381720681630217331306538695310",
  "points": [
    [
      "3690651960015",
      "7708299126156239672"
    ],
    [
      "8639928534543",
      "-15884836569860852104"
    ],
    [
      "1889154717743",
      "12733165176223454296"
    ],
    [
      "5622697901945",
      "5483308873225802732"
    ],
    [
      "3578858431597",
      "-8003873391211964634"
    ],
    [
      "3208977934715",
      "9016326430132245272"
    ],
    [
      "1031355338891",
      "-15037404035089789864"
    ],
    [
      "-10461566649345",
      "3612321023566239032"
    ],
    [
      "4283688150047",
      "6293763175233626296"
    ],
    [
      "-9991696653105",
      "-11061364945580666568"
    ],
    [
      "6202108581793",
      "6621324732236625810"
    ],
    [
      "6544346735947",
      "7600827529120240476"
    ],
    [
      "-10329673278905",
      "6715894460094173272"
    ],
    [
      "-3048636399034585/361",
      "-135806158318089918059992/6859"
    ],
    [
      "9517072918655",
      "19954232950098826312"
    ],
    [
      "-76643965808353/49",
      "-7128301363421291146360/343"
    ],
    [
      "155240191243351/25",
      "-830094926073353765064/125"
    ],
    [
      "232411898324105/64",
      "4026412141608081380239/512"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Generated by generalized Mestre quartic-family search over (u,v) in [-50,50]^2, denominator <= 40; certified rank >= 18.",
  "created_at": "2026-06-23 17:40:14",
  "updated_at": "2026-07-01 22:32:41"
}