{
  "id": 4025,
  "curve_key": "226159784546086276417346608634105325721776965136:-107533553889249514408013486823273736484066795041059702218737274927016384",
  "ainvs": [
    "0",
    "0",
    "0",
    "-4711662178043464092028054346543860952537020107",
    "124460131816261012046311906045455713523225457223448729419834808943306"
  ],
  "rank_lower_bound": 12,
  "torsion": [
    2,
    2
  ],
  "naive_height": 327.1127128363665,
  "faltings_height": 24.974145019643647,
  "conductor": "205992707064356143394663394290058360729592715459384018640",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "29",
    "41",
    "53",
    "83",
    "101",
    "113",
    "163",
    "263",
    "313",
    "379",
    "523",
    "683",
    "1009",
    "2347",
    "13187",
    "30643",
    "1218199"
  ],
  "discriminant": "2437250313452494166092870688810053988631522904955999670839457671198416699610549548501976463572139488608100992795365123991689936144000000",
  "regulator": "5109685600364.6281775129699784563257374973941449587655740498845",
  "points": [
    [
      "6881879378314290760697",
      "9610461417551363095273928304683760"
    ],
    [
      "39139972711998386878937",
      "76113552417092114840678092730400"
    ],
    [
      "31456376828535335175137",
      "2715604965382414384198603255532400"
    ],
    [
      "42525133885662171699242",
      "998982819205576345498682487593430"
    ],
    [
      "108478624288484753812537609/9",
      "1129819916404683650081232980539800463520/27"
    ],
    [
      "39131331902619802203827",
      "82480756113675078494833306063710"
    ],
    [
      "4365423023221103348985",
      "10196809539063099929716219364034256"
    ],
    [
      "-35483241968455022684733",
      "15715267543929923566042939131815330"
    ],
    [
      "364461201149282230946533/9",
      "6990835980786855945584794195338100/27"
    ],
    [
      "29492187025766238148662",
      "3339894060967124719307926367190500"
    ],
    [
      "86670566714014790569592469/1369",
      "452818454518942895771014171936492407020/50653"
    ],
    [
      "150173757630386266592597747/1681",
      "1406599705973138071938844270272076723950/68921"
    ]
  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "Induced by the rational Diophantine triple {−39452128128/28866148597, 2685099/251184725, −5975179056/249448225}. Construction described in A. Dujella and J. C. Peral, High rank elliptic curves induced by rational Diophantine triples, Glas. Mat. Ser. III 55 (2020), 237-252. ",
  "created_at": "2026-10-05 06:59:13",
  "updated_at": "2026-10-05 06:59:13"
}