{
  "id": 4698,
  "curve_key": "4919984944:-345100557094912",
  "ainvs": [
    "0",
    "1",
    "0",
    "-102499686",
    "399387774520"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 66.94971392185003,
  "faltings_height": 2.9939959497324153,
  "conductor": "10034176187360",
  "bad_primes": [
    "2",
    "5",
    "13",
    "17",
    "73",
    "953",
    "4079"
  ],
  "discriminant": "81858809336482880",
  "regulator": "10466.833173973000310581160333850571250555641982246",
  "points": [
    [
      "1766",
      "473164"
    ],
    [
      "48526/9",
      "1598968/27"
    ],
    [
      "5841",
      "514"
    ],
    [
      "5676",
      "22256"
    ],
    [
      "6374",
      "71116"
    ],
    [
      "2929",
      "352566"
    ]
  ],
  "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. I checked the six supplied rational points exactly on this minimal model. The source records rank 6 with independent points and a matching 2-descent upper bound. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 20:52:02",
  "updated_at": "2026-10-20 20:52:02"
}