{
  "id": 1142,
  "curve_key": "2629809:-307450377",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-54788",
    "369542"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "naive_height": 44.34726533382775,
  "faltings_height": 1.7635293892599848,
  "conductor": "174915",
  "bad_primes": [
    "3",
    "5",
    "13",
    "23"
  ],
  "discriminant": "10470461903825625",
  "regulator": "7.3623119496216410158977551849184508975454207",
  "points": [
    [
      "-68",
      "1977"
    ],
    [
      "270",
      "2146"
    ],
    [
      "387",
      "5890"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 174915e2, rank exactly 3 according to Cremona's tables. Witness generators from https://github.com/JohnCremona/ecdata/blob/master/allgens/allgens.170000-179999 . Found by screening the local allgens tables for missing torsion size records; torsion and independence independently verified by the site.",
  "created_at": "2026-09-23 21:37:26",
  "updated_at": "2026-09-23 21:37:26"
}