{
  "id": 4657,
  "curve_key": "207208369:-1981269173897",
  "ainvs": [
    "1",
    "1",
    "1",
    "-4316841",
    "2291336934"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 57.44770637538166,
  "faltings_height": 2.8209881976085462,
  "conductor": "617897437263645",
  "bad_primes": [
    "3",
    "5",
    "7",
    "11",
    "29",
    "139",
    "10789",
    "12301"
  ],
  "discriminant": "2876809977899264709225",
  "regulator": "3951.619600748757461383526534434440289158736267180731",
  "points": [
    [
      "-2302",
      "7197"
    ],
    [
      "-356",
      "61685"
    ],
    [
      "3324",
      "155445"
    ],
    [
      "12894",
      "1439420"
    ],
    [
      "-4249/4",
      "607155/8"
    ],
    [
      "189",
      "-38595"
    ],
    [
      "-2163",
      "-37839"
    ]
  ],
  "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 17:52:34",
  "updated_at": "2026-10-20 17:52:34"
}