{
  "id": 4656,
  "curve_key": "132882073:-505856201149",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2768377",
    "585251016"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 56.11491787106841,
  "faltings_height": 2.7375001745426717,
  "conductor": "460062135545738",
  "bad_primes": [
    "2",
    "11",
    "17",
    "79",
    "89",
    "257",
    "7649"
  ],
  "discriminant": "1209776631258259370372",
  "regulator": "6047.239806513689634045900511576783847218876415330994",
  "points": [
    [
      "-1743",
      "11640"
    ],
    [
      "-1523",
      "36390"
    ],
    [
      "-764",
      "47863"
    ],
    [
      "2173",
      "68422"
    ],
    [
      "-577",
      "44904"
    ],
    [
      "-1387",
      "42612"
    ],
    [
      "8937",
      "825990"
    ]
  ],
  "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 17:50:09",
  "updated_at": "2026-10-20 17:50:09"
}