{
  "id": 4661,
  "curve_key": "296560489:-4503115040437",
  "ainvs": [
    "1",
    "0",
    "1",
    "-6178344",
    "5211423842"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 58.52328529713859,
  "faltings_height": 2.859197217037334,
  "conductor": "890748021049810",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "59",
    "83",
    "5009",
    "47161"
  ],
  "discriminant": "3358734655492308068900",
  "regulator": "3660.686868383199393163899595337552481992216963675732",
  "points": [
    [
      "-2309",
      "85819"
    ],
    [
      "-1424",
      "106174"
    ],
    [
      "995",
      "6523"
    ],
    [
      "759",
      "30595"
    ],
    [
      "4039/4",
      "8937/8"
    ],
    [
      "701",
      "34649"
    ],
    [
      "2293",
      "54549"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Seven supplied rational points checked exactly on the displayed model. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 18:07:35",
  "updated_at": "2026-10-20 18:07:35"
}