{
  "id": 2141,
  "curve_key": "13175398190418956233679165281:-6988174707711818045461157327390229763190929",
  "ainvs": [
    "1",
    "0",
    "0",
    "-274487462300394921534982610",
    "8088165170962729493476703355273008384772"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    12
  ],
  "naive_height": 197.30558659762556,
  "faltings_height": 14.498788680483488,
  "conductor": "256488485249966970",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "29",
    "101",
    "197",
    "251",
    "3469"
  ],
  "discriminant": "-26937183825483683829142116349290354041967243543516723988352250343760802349056000000",
  "regulator": "6796.1567477748075459946038159747527997067457",
  "points": [
    [
      "-24311216384816",
      "-19811691453480548942"
    ],
    [
      "-15070131646150604/1369",
      "-5008197199111335645906026/50653"
    ],
    [
      "705215952375034860586312/1155388081",
      "-592012507575916807174737483869635022/39272796261271"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-26 11:10:22",
  "updated_at": "2026-09-26 11:10:22"
}