{
  "id": 4652,
  "curve_key": "5645441641:-111079351464245",
  "ainvs": [
    "1",
    "1",
    "0",
    "-117613367",
    "128515058625"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 67.36234280181498,
  "faltings_height": 3.677465402737293,
  "conductor": "490807272278185854",
  "bad_primes": [
    "2",
    "3",
    "37",
    "73",
    "89",
    "137",
    "937",
    "36313"
  ],
  "discriminant": "96983398226809633429423332",
  "regulator": "46770.6230387883523222073384849405572321083161330168197",
  "points": [
    [
      "-2744",
      "657569"
    ],
    [
      "-1943",
      "592332"
    ],
    [
      "112",
      "339567"
    ],
    [
      "249",
      "314907"
    ],
    [
      "-65167/64",
      "-254311283/512"
    ],
    [
      "906",
      "150219"
    ],
    [
      "371",
      "291245"
    ],
    [
      "461391",
      "313086729"
    ]
  ],
  "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 17:34:31",
  "updated_at": "2026-10-20 17:34:31"
}