{
  "id": 4400,
  "curve_key": "321768685776:-181031031581727960",
  "ainvs": [
    "0",
    "0",
    "1",
    "-6703514287",
    "209526656923296"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 79.49129627155865,
  "faltings_height": 4.480735556837343,
  "conductor": "313723684682894471293495831717",
  "bad_primes": [
    "3048973844159",
    "102894842894078363"
  ],
  "discriminant": "313723684682894471293495831717",
  "regulator": "15536996839.05587013817839165149161319282431759622667729989991908",
  "points": [
    [
      "-12776",
      "17119736"
    ],
    [
      "26713",
      "7036878"
    ],
    [
      "40823",
      "1975178"
    ],
    [
      "41468",
      "1689228"
    ],
    [
      "42512",
      "1173680"
    ],
    [
      "50836",
      "349604"
    ],
    [
      "53094",
      "1811301"
    ],
    [
      "53770",
      "2130542"
    ],
    [
      "75783",
      "11693621"
    ],
    [
      "82753",
      "14882478"
    ],
    [
      "218196",
      "95577444"
    ],
    [
      "-1076701/25",
      "2556697218/125"
    ],
    [
      "16501489/324",
      "2752651765/5832"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_13.md#37 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:05",
  "updated_at": "2026-10-17 10:22:05"
}