{
  "id": 1265,
  "curve_key": "115466617533137925117001:-39235802402857695314338979411111749",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2405554531940373439938",
    "45411808336440388180601009865088"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    6
  ],
  "naive_height": 159.30980524612116,
  "faltings_height": 10.884966173902802,
  "conductor": "4439405348342065911810",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "23",
    "29",
    "79",
    "257",
    "523",
    "631",
    "1741"
  ],
  "discriminant": "8726586722143009618394172786299931378105531514198340859766500",
  "regulator": "139136.5607701913337395669248448595588737567435945850",
  "points": [
    [
      "28256512094",
      "-9395249967795"
    ],
    [
      "-7432769009599/1225",
      "-331510664303146305279/42875"
    ],
    [
      "28440265664",
      "32705849387520"
    ],
    [
      "1398461091744377834/177241",
      "-1653740217997171357554326955/74618461"
    ],
    [
      "7888259054887466/25",
      "-700602614926448778581451/125"
    ],
    [
      "1818198802441/64",
      "-11493096991679825/512"
    ],
    [
      "13089458099242",
      "-47356491185615489140"
    ]
  ],
  "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=589163/23621.",
  "created_at": "2026-09-24 16:48:28",
  "updated_at": "2026-09-24 16:48:28"
}