{
  "id": 92,
  "curve_key": "212995778885315694793211765486641:-3099031675334352687040090522193313305659658091689",
  "ainvs": [
    "1",
    "1",
    "1",
    "-4437412060110743641525245114305",
    "3586842216822165612930264910099076801587288127"
  ],
  "rank_lower_bound": 20,
  "naive_height": 223.31647541368378,
  "faltings_height": 16.4256875981555,
  "conductor": "2876153493562761211278364526603564191699143885403233935132057708367930",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "31",
    "79",
    "1049",
    "71889448247",
    "40200713707633",
    "491007790268548705232623905732119"
  ],
  "discriminant": "34158080673335280296970759332689207611899474944643988972429089096818399452131514624000000000",
  "regulator": "14199318900391412470.1467052372488935270092221520193246449884249061865323699427",
  "points": [
    [
      "2322567250548927",
      "76218907815416964881536"
    ],
    [
      "1159287617040927",
      "-792075071337327918464"
    ],
    [
      "3260380495594177",
      "154198893197321089113536"
    ],
    [
      "1085033861856627",
      "7036233563582957274136"
    ],
    [
      "1057541405086527",
      "8766013807279112883136"
    ],
    [
      "2051321472766927",
      "55821856559912025117536"
    ],
    [
      "1349853674212677",
      "-7520658488989426177214"
    ],
    [
      "-162875228134573",
      "-65614525056065801511464"
    ],
    [
      "1973958997485927",
      "50190953064845966726536"
    ],
    [
      "1115609187332427",
      "4989362320694872550536"
    ],
    [
      "35632774335609831/25",
      "-1569661495703560782391744/125"
    ],
    [
      "1065196583526527",
      "-8291243444403322249664"
    ],
    [
      "1272177369204427",
      "-776998561028702009464"
    ],
    [
      "1577638306201227",
      "-22646461833194926710164"
    ],
    [
      "1076965981719177",
      "7551525239803692957286"
    ],
    [
      "336801666567727",
      "-46157552734600369764064"
    ],
    [
      "1157870843592447",
      "-1099527333816823674944"
    ],
    [
      "949628343705087",
      "15143284705038794180416"
    ],
    [
      "11740414067153143/9",
      "114951115455620018279872/27"
    ],
    [
      "2666485382308185",
      "103506731053981149881008"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "New curve of rank >= 20 and naive height 223.316, found as the specialization T = 28917/10 (t = 28917/20) 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 a staged Nagao-sum sieve over ~1.9M specializations; 20 independent points certified by positive-definite Neron-Tate height pairing.",
  "created_at": "2026-06-11 19:26:11",
  "updated_at": "2026-07-01 22:29:42"
}