{
  "id": 5693,
  "curve_key": "1616055863657323625535601:-2087632997623410971451752287274784265",
  "ainvs": [
    "1",
    "0",
    "0",
    "-33667830492860908865325",
    "2416241895394660749602160071570001"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 167.2581884698708,
  "faltings_height": 11.823695932864316,
  "conductor": "32486041177166381456220753166751394331525509585798",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "29",
    "37",
    "97",
    "103",
    "99680264200468741",
    "38095706992630278561727"
  ],
  "discriminant": "-79664910409286924089430896671909142906452635996707854668055099998208",
  "regulator": "346307694067511.709547897623394115491944021396489883187862569660899637092",
  "points": [
    [
      "36889311138",
      "-34992283025055297"
    ],
    [
      "62459886210",
      "-23601384518306529"
    ],
    [
      "-92197888446",
      "-68823069030431265"
    ],
    [
      "67535127780",
      "-21225206057756691"
    ],
    [
      "-135297483582",
      "-67042745959440801"
    ],
    [
      "73201687818",
      "18545857229748399"
    ],
    [
      "130597806840",
      "15708068513725281"
    ],
    [
      "85024519746",
      "-12973376535212577"
    ],
    [
      "242138115906",
      "-91982426784861729"
    ],
    [
      "-21652504446",
      "55991826126576735"
    ],
    [
      "289792553226",
      "130369536951247023"
    ],
    [
      "87159556482",
      "-11995935361349601"
    ],
    [
      "109735699650",
      "-6565714883500449"
    ],
    [
      "100427284770",
      "-6924390449022561"
    ],
    [
      "413545845570",
      "-243347139739608609"
    ],
    [
      "-103392824790",
      "-69224054055846681"
    ],
    [
      "94453999938",
      "8880126461665503"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 3/7 of the rank-17 fibration of X1152 given in curve#3897. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-24 13:05:46",
  "updated_at": "2026-10-24 13:05:46"
}