{
  "id": 4658,
  "curve_key": "6440416:-3643833518720",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-134175",
    "4217444631"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 57.84811481574413,
  "faltings_height": 2.8783445572722695,
  "conductor": "321457482575232",
  "bad_primes": [
    "2",
    "3",
    "17",
    "47",
    "89",
    "263",
    "2633"
  ],
  "discriminant": "-7683596973611678400768",
  "regulator": "9408.338452254765990094749639113867694621533701360600",
  "points": [
    [
      "1383",
      "81702"
    ],
    [
      "-130",
      "65059"
    ],
    [
      "-931",
      "59452"
    ],
    [
      "2807",
      "161090"
    ],
    [
      "-1554",
      "25899"
    ],
    [
      "10461",
      "1071204"
    ],
    [
      "1205",
      "76184"
    ]
  ],
  "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 17:59:33",
  "updated_at": "2026-10-20 17:59:33"
}