{
  "id": 4570,
  "curve_key": "30895585:-170454237425",
  "ainvs": [
    "1",
    "1",
    "1",
    "-643658",
    "197016806"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 51.73837155420215,
  "faltings_height": 2.163919232412732,
  "conductor": "908423747925",
  "bad_primes": [
    "3",
    "5",
    "29",
    "71",
    "109",
    "1861"
  ],
  "discriminant": "252510007091972625",
  "regulator": "864.30240764734887499599623415292546429566361206994",
  "points": [
    [
      "-144",
      "17005"
    ],
    [
      "-810",
      "14107"
    ],
    [
      "-925",
      "1882"
    ],
    [
      "1800",
      "68917"
    ],
    [
      "-5840/9",
      "508054/27"
    ],
    [
      "-630",
      "19102"
    ]
  ],
  "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 and certified independent modulo torsion. Rational torsion C2. Source-attributed existing curve.",
  "created_at": "2026-10-18 02:06:36",
  "updated_at": "2026-10-18 02:06:36"
}