{
  "id": 4664,
  "curve_key": "7887481:-14142207565",
  "ainvs": [
    "1",
    "0",
    "1",
    "-164323",
    "16354602"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 47.642362130861706,
  "faltings_height": 2.0072761128834355,
  "conductor": "1294832923826",
  "bad_primes": [
    "2",
    "13",
    "17",
    "19",
    "263",
    "313",
    "1873"
  ],
  "discriminant": "168227283129321572",
  "regulator": "730.87447064113706851126953635030064445476313602489",
  "points": [
    [
      "-419",
      "3628"
    ],
    [
      "-156",
      "6258"
    ],
    [
      "633",
      "12570"
    ],
    [
      "6945",
      "574338"
    ],
    [
      "3847/4",
      "214965/8"
    ],
    [
      "700/9",
      "53246/27"
    ]
  ],
  "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 on the displayed model. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 18:13:53",
  "updated_at": "2026-10-20 18:13:53"
}