{
  "id": 1251,
  "curve_key": "126103286607933136:-44782252926583775293970200",
  "ainvs": [
    "0",
    "1",
    "1",
    "-2627151804331940",
    "51831310381902842183300"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    5
  ],
  "naive_height": 118.12770830552446,
  "faltings_height": 7.509898337367485,
  "conductor": "4832263166746443",
  "bad_primes": [
    "3",
    "29",
    "227",
    "587",
    "9829",
    "42409"
  ],
  "discriminant": "-87273706811585089066758879277976356877886123",
  "regulator": "506.56841691591444273654867200585198200094094",
  "points": [
    [
      "30418000",
      "7937626699"
    ],
    [
      "-20580472625/361",
      "876167423962816/6859"
    ],
    [
      "104695823614/11881",
      "221919085790683240/1295029"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+(t+1)xy+ty=x^3+tx^2 with torsion Z/5Z, at t=17023/681.",
  "created_at": "2026-09-24 16:26:52",
  "updated_at": "2026-09-24 16:26:52"
}