{
  "id": 4665,
  "curve_key": "13344688:-7028516096",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-278014",
    "8227528"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 49.219886883013665,
  "faltings_height": 2.168622645857971,
  "conductor": "1120143899616",
  "bad_primes": [
    "2",
    "3",
    "7",
    "47",
    "59",
    "79",
    "1087"
  ],
  "discriminant": "1346661639284146752",
  "regulator": "1950.6144007595495095992791770063584825339435579866",
  "points": [
    [
      "12",
      "2212"
    ],
    [
      "723",
      "13588"
    ],
    [
      "1434",
      "50560"
    ],
    [
      "-198",
      "7448"
    ],
    [
      "2813/4",
      "101199/8"
    ],
    [
      "26",
      "1008"
    ]
  ],
  "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. Six supplied rational points checked exactly on the displayed model. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 18:15:41",
  "updated_at": "2026-10-20 18:15:41"
}