{
  "id": 4650,
  "curve_key": "4446403609:-285918728312573",
  "ainvs": [
    "1",
    "1",
    "0",
    "-92633408",
    "330885856812"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 66.64608428586016,
  "faltings_height": 3.477015647532303,
  "conductor": "131859174638950710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "41",
    "43",
    "73",
    "10369",
    "470521"
  ],
  "discriminant": "3563730222540246659520900",
  "regulator": "17907.6812841629313221319600028561175205230561249960103",
  "points": [
    [
      "6398",
      "9716"
    ],
    [
      "4246",
      "116772"
    ],
    [
      "6439",
      "-41124"
    ],
    [
      "49571",
      "10817357"
    ],
    [
      "15254",
      "-1578460"
    ],
    [
      "6482",
      "-56518"
    ],
    [
      "161",
      "-562198"
    ],
    [
      "42854/25",
      "-52716818/125"
    ]
  ],
  "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. Eight supplied rational points checked exactly on the displayed model. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 17:28:57",
  "updated_at": "2026-10-20 17:28:57"
}