{
  "id": 1262,
  "curve_key": "309343363911753457346041:-172052586499444845881551791322200589",
  "ainvs": [
    "1",
    "0",
    "1",
    "-6444653414828197028043",
    "199134938077524109763523334648358"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    6
  ],
  "naive_height": 162.26621646871854,
  "faltings_height": 10.865484496180287,
  "conductor": "140409740846986028110",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "17",
    "19",
    "23",
    "179",
    "271",
    "2677",
    "189019"
  ],
  "discriminant": "273659691134861160738979381654867205404992276906910250000",
  "regulator": "609249.4926380451040735741905617645480661395365311854",
  "points": [
    [
      "46348730619",
      "-56843481560"
    ],
    [
      "185401645511/4",
      "4399887178205/8"
    ],
    [
      "63511842895411/1369",
      "830067123525905820/50653"
    ],
    [
      "44541537512587/961",
      "2231624780594680/29791"
    ],
    [
      "26697024292537/576",
      "59827525889353/13824"
    ],
    [
      "619926485344",
      "484197125540039490"
    ],
    [
      "22476151923724249/4096",
      "-3369277733330160695634365/262144"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+txy+(t+2)y=x^3 with torsion Z/6Z, at t=745873/3401.",
  "created_at": "2026-09-24 16:46:49",
  "updated_at": "2026-09-24 16:46:49"
}