{
  "id": 91,
  "curve_key": "313960844280957778489:1599728574557898755218439881363",
  "ainvs": [
    "1",
    "1",
    "0",
    "-6540850922519953718",
    "-1851537704759959591812063912"
  ],
  "rank_lower_bound": 16,
  "naive_height": 141.58739985684974,
  "faltings_height": 9.861964753778004,
  "conductor": "609139444635528560504687036989987088238968485253777790",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "31",
    "3169408342209139",
    "44658483011160071",
    "159570870149555903"
  ],
  "discriminant": "16428490821820205276811409387619951769804980047294386996300",
  "regulator": "876682647260930.4046834775127923693175750806292138104214702456082460330",
  "points": [
    [
      "-1579605826",
      "67373394280418"
    ],
    [
      "-2401956187",
      "-1210893568960"
    ],
    [
      "-3224222629/4",
      "-430589824752611/8"
    ],
    [
      "6123597938",
      "-433270141862710"
    ],
    [
      "-2385452686",
      "13313205098948"
    ],
    [
      "-9579433429/4",
      "-70431852761111/8"
    ],
    [
      "-2399183526",
      "5592975096618"
    ],
    [
      "-297102431",
      "8095815100788"
    ],
    [
      "-2308393444",
      "30768491385776"
    ],
    [
      "-2312819314",
      "-30076910607472"
    ],
    [
      "3089188419",
      "86154878976843"
    ],
    [
      "3789601958",
      "-166687314398248"
    ],
    [
      "-1454765926",
      "67713978334268"
    ],
    [
      "-2193105226",
      "-44101458225592"
    ],
    [
      "-453816781",
      "31990018866818"
    ],
    [
      "-2028432901",
      "55409236846283"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "New curve of rank >= 16 and naive height 141.587, found as the specialization T = 482 (t = 241) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,1036}), located by an exhaustive minimal-height scan crossed with a staged Nagao-sum sieve; 16 independent points certified by positive-definite Neron-Tate height pairing.",
  "created_at": "2026-06-11 18:54:07",
  "updated_at": "2026-07-01 22:36:42"
}