{
  "id": 375,
  "curve_key": "254137848592421874693142597041:-127296436485079549411215254361341444237437161",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-5294538512342122389440470772",
    "147333838524398950267979074374742550207319"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 203.12302302491162,
  "faltings_height": 14.77302172549281,
  "conductor": "3435889424901540260831120722590444607106072049491801762070",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "43",
    "103",
    "7331",
    "830899",
    "1358365011381977",
    "880599231416386767013853"
  ],
  "discriminant": "121166701324216502059283397934007212496711811609807379623239561661383591520000000000",
  "regulator": "306780937745709613.22527189812930393933895491920933054684743850952464640598",
  "points": [
    [
      "144798075003846677/6241",
      "-94817006724053625482365101/493039"
    ],
    [
      "217392872366840693/2209",
      "79028904141656143676610003/103823"
    ],
    [
      "74446695995566853",
      "-20312713155305102240419827"
    ],
    [
      "6699980290020317/121",
      "205928564450366351767191/1331"
    ],
    [
      "154676576499263/4",
      "-164076549923880547797/8"
    ],
    [
      "47912291691677",
      "-60392343020871794139"
    ],
    [
      "127770774295149497253/339889",
      "-1418992470407890843459828211893/198155287"
    ],
    [
      "3385847468182465013/12769",
      "-6016569298230834033625039683/1442897"
    ],
    [
      "569805071625821334317/14523721",
      "-77142652149392625304628424609/55349900731"
    ],
    [
      "10086842753184533/529",
      "-2809273552467822638358213/12167"
    ],
    [
      "2965827766710985698557/61952641",
      "29193065936582125222452076707771/487629237311"
    ],
    [
      "64836307200338933/529",
      "-14082002036477605715845413/12167"
    ],
    [
      "355957407260777",
      "6585174646903317305361"
    ],
    [
      "55674010547477",
      "-158532533478525702339"
    ],
    [
      "331699470869907",
      "-5906455920049360558089"
    ],
    [
      "-31246272625358203/961",
      "-15907072977698057376921549/29791"
    ],
    [
      "2402887164619277",
      "-117734343689406758708139"
    ],
    [
      "3109793834858767/81",
      "18631423225472272375499/729"
    ]
  ],
  "submitter": "Christopher R. Hill",
  "commentary": "Found with Rank Hunter v0.8.0; family=Mestre/Fermigier sextuple, generic rank >=11; parameter=25386/35; local status: rigorous rank lower bound >= 18.",
  "created_at": "2026-08-26 12:59:48",
  "updated_at": "2026-08-26 12:59:48"
}