{
  "id": 1261,
  "curve_key": "2215533313293136:-104283943568978395779800",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-46156944026940",
    "120699024146039670762"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    5
  ],
  "naive_height": 106.00280871668475,
  "faltings_height": 6.331857961447195,
  "conductor": "1821255243313",
  "bad_primes": [
    "11",
    "41",
    "61",
    "163",
    "461",
    "881"
  ],
  "discriminant": "-553310210827368569201513731270076123",
  "regulator": "208.37407349971440115482260219408625242095034",
  "points": [
    [
      "25808325862/6561",
      "20358167126482/531441"
    ],
    [
      "64189305/16",
      "19696998117/64"
    ],
    [
      "72974565445/11449",
      "11324043648538354/1225043"
    ]
  ],
  "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=6683/61.",
  "created_at": "2026-09-24 16:32:29",
  "updated_at": "2026-09-24 16:32:29"
}