{
  "id": 4681,
  "curve_key": "46203727465:-9931372734956725",
  "ainvs": [
    "1",
    "0",
    "1",
    "-962577656",
    "11494564154358"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 73.66897893852051,
  "faltings_height": 3.7773978402382,
  "conductor": "137771321171561050",
  "bad_primes": [
    "2",
    "5",
    "29",
    "31",
    "109",
    "149",
    "281",
    "331",
    "2029"
  ],
  "discriminant": "1639858970788010003498000",
  "regulator": "56470.1853054129751567344036682235203130011036824017279",
  "points": [
    [
      "13362",
      "1002446"
    ],
    [
      "17277",
      "137231"
    ],
    [
      "18321",
      "85031"
    ],
    [
      "122317/9",
      "-26119987/27"
    ],
    [
      "24477",
      "1599731"
    ],
    [
      "209837",
      "95021171"
    ],
    [
      "109408/9",
      "33876742/27"
    ],
    [
      "7596",
      "2145881"
    ]
  ],
  "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 20:33:43",
  "updated_at": "2026-10-20 20:33:43"
}