{
  "id": 4417,
  "curve_key": "61464081:-21262957492185",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1280502",
    "24610224630"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 61.37597517961271,
  "faltings_height": 3.1724034250758617,
  "conductor": "261505301079507297228953",
  "bad_primes": [
    "431",
    "45533",
    "13325298964959011"
  ],
  "discriminant": "-261505301079507297228953",
  "regulator": "20625873.8698012016971613945291615779730478921328412174241330",
  "points": [
    [
      "-2442",
      "115982"
    ],
    [
      "-1534",
      "152302"
    ],
    [
      "5400",
      "-421195"
    ],
    [
      "188",
      "156034"
    ],
    [
      "2761",
      "203842"
    ],
    [
      "961",
      "155296"
    ],
    [
      "-136",
      "157490"
    ],
    [
      "-1264",
      "156221"
    ],
    [
      "-3055",
      "-136"
    ],
    [
      "4516",
      "-335294"
    ],
    [
      "-12193/4",
      "-95953/8"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_11.md#13 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:23:02",
  "updated_at": "2026-10-17 10:23:02"
}