{
  "id": 5520,
  "curve_key": "28686575289053952673:-153225682795315331375969474065",
  "ainvs": [
    "1",
    "0",
    "0",
    "-597636985188624014",
    "177344540222552625512023779"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 134.40888278178392,
  "faltings_height": 9.012203764951261,
  "conductor": "400014894778295223",
  "bad_primes": [
    "3",
    "7",
    "19",
    "23",
    "41",
    "43",
    "89",
    "227",
    "379",
    "3229"
  ],
  "discriminant": "74441693403418597142705733999196191988933896182667489",
  "regulator": "252957.49216544900124799059992245778592838081040632",
  "points": [
    [
      "4432470850",
      "290879537633323"
    ],
    [
      "280200174523",
      "148320281399693041"
    ],
    [
      "754026571/49",
      "4447790508628711/343"
    ],
    [
      "15514022809/256",
      "48697391127374299/4096"
    ],
    [
      "105538161697/64",
      "31042399868477027/512"
    ],
    [
      "56511543284893/94864",
      "167139842186988098513/29218112"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (12341,73692) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 6.",
  "created_at": "2026-10-22 21:22:34",
  "updated_at": "2026-10-22 21:22:34"
}