{
  "id": 4696,
  "curve_key": "14273269369:-1695123663051853",
  "ainvs": [
    "1",
    "0",
    "1",
    "-297359779",
    "1961923904106"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 70.14496305012779,
  "faltings_height": 3.688345748662745,
  "conductor": "543836626686688370",
  "bad_primes": [
    "2",
    "5",
    "7",
    "23",
    "127",
    "179",
    "809",
    "1289",
    "14249"
  ],
  "discriminant": "19904491235494263611488100",
  "regulator": "44672.4455390298993782262476574059289875798634119045904",
  "points": [
    [
      "-3207",
      "1699418"
    ],
    [
      "1089",
      "1279842"
    ],
    [
      "10576",
      "-903"
    ],
    [
      "-19496",
      "600537"
    ],
    [
      "2163",
      "1151678"
    ],
    [
      "10611",
      "32046"
    ],
    [
      "54789",
      "12225692"
    ],
    [
      "10934",
      "-138912"
    ]
  ],
  "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 eight supplied rational points exactly on this minimal model. The source records rank 8 with independent points and a matching 2-descent upper bound. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 20:48:56",
  "updated_at": "2026-10-20 20:48:56"
}