{
  "id": 4258,
  "curve_key": "211857189320200099041:-3083608012111680383215190388945",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-4413691444170835397",
    "3568990755862312193467697725"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 140.4073322588657,
  "faltings_height": 9.33613956209182,
  "conductor": "8856428161875443650508960054718",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "23",
    "29",
    "37",
    "103",
    "107",
    "257",
    "353",
    "2377",
    "54121",
    "2013001"
  ],
  "discriminant": "143024478860474788439003078567235623087520891072479232",
  "regulator": "12310347919.5763849141585400219534465770847214665790521738219",
  "points": [
    [
      "-2211393737",
      "50151928568864"
    ],
    [
      "794265535",
      "23757050533184"
    ],
    [
      "1206851401",
      "296744571476"
    ],
    [
      "4870000079/4",
      "1364077130083/8"
    ],
    [
      "1249862831",
      "2227370128336"
    ],
    [
      "-52032054809/25",
      "7644126975253696/125"
    ],
    [
      "16193325799/25",
      "3916787478284608/125"
    ],
    [
      "41939162951/25",
      "3720166519954784/125"
    ],
    [
      "736476982447/529",
      "134737420542902464/12167"
    ],
    [
      "1133903545999/625",
      "611767303744365632/15625"
    ],
    [
      "4770036494167/169",
      "10389855556302387008/2197"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Found by specializing the family associated with curve#802 at T = -65/3. The original PARI/GP computation returned rank bounds [11,11]. Eleven rational points are supplied.",
  "created_at": "2026-10-15 20:39:44",
  "updated_at": "2026-10-15 20:39:44"
}