{
  "id": 4302,
  "curve_key": "1183677076029245679895447801:-2845156061966389360909423806457033693325",
  "ainvs": [
    "1",
    "1",
    "0",
    "-24659939083942618331155162",
    "3293004701339712711619449610946548420"
  ],
  "rank_lower_bound": 14,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 187.01526981078183,
  "faltings_height": 13.652549062867736,
  "conductor": "311560278166741566302026290678974420505803313066",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "19",
    "31",
    "59",
    "67",
    "89",
    "97",
    "107",
    "163",
    "173",
    "467",
    "5209",
    "5563",
    "384751",
    "566173",
    "2031067"
  ],
  "discriminant": "955060695968585971930630599032768292666926589261520539877765012505723761842192",
  "regulator": "26235877744144950362.7783975218781727429422582411984234644955105526",
  "points": [
    [
      "-233638418686479/64",
      "3421810908992302944589/512"
    ],
    [
      "-1625953519414176/529",
      "86077832541292499828798/12167"
    ],
    [
      "-2628308209303776/5929",
      "1716562337951822781382502/456533"
    ],
    [
      "-155343021591/256",
      "7449731751820672325069/4096"
    ],
    [
      "1255220076394241/256",
      "-2089373320212366231271/4096"
    ],
    [
      "5020680424709",
      "2457798776455495427"
    ],
    [
      "-95905096388523485775060756/40462868047849",
      "1791129239134036695906771842625812434750/257386043555693546507"
    ],
    [
      "-52831127972117668829471/10610648064",
      "1775855153681368123805690509808255/1092981635776512"
    ],
    [
      "-9197154618016/25",
      "438663935488055845642/125"
    ],
    [
      "59071054726473516/25",
      "-14356915140857711111671726/125"
    ],
    [
      "4902315627817905216/724201",
      "7460786935327696165935506854/616295051"
    ],
    [
      "-2851663900118905076/12852225",
      "-136320792331660455678315779302/46075226625"
    ],
    [
      "3551231712810013216/29713401",
      "95471777198875641603363337354/161967748851"
    ],
    [
      "767962503566632745248749/95840395561",
      "530909954211835931612792063705173432/29670365498169941"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from my curve#4257, found by specializing the family associated with curve#802 at T = -334/279. This isogenous curve has the same rank and conductor, with smaller absolute minimal discriminant, Faltings height and naive height. The fourteen supplied points were transported from the source curve.",
  "created_at": "2026-10-16 19:11:26",
  "updated_at": "2026-10-16 19:11:26"
}