{
  "id": 687,
  "curve_key": "1741169136:-62554890294360",
  "ainvs": [
    "0",
    "0",
    "1",
    "-36274357",
    "72401493396"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "naive_height": 63.83346792533671,
  "faltings_height": 3.309852671516135,
  "conductor": "19274162508860687844797",
  "bad_primes": [
    "41",
    "541",
    "868949213690126137"
  ],
  "discriminant": "790240662863288201636677",
  "regulator": "4584691.38947998281581387138938011818619383151782838814959200",
  "points": [
    [
      "2356",
      "4079"
    ],
    [
      "2151",
      "65784"
    ],
    [
      "1987",
      "90384"
    ],
    [
      "1823",
      "111048"
    ],
    [
      "4488",
      "348"
    ],
    [
      "1741",
      "120519"
    ],
    [
      "4652",
      "65784"
    ],
    [
      "757",
      "213015"
    ],
    [
      "5718",
      "227898"
    ],
    [
      "5841",
      "244544"
    ],
    [
      "7809",
      "515103"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "from the searches earlier this year that found Curves 157, 158, 244  of ranks 12, 13, 14; this rank-11 curve now appears also in M.Rubinstein's github tables.  It is not quite a record but has N quite close to the curve (#50) from Elkies-Watkins 2004, and is one of several curves with N smaller than the second-smallest N from that paper (66484354768372183177742, for [1, -1, 0, -38099014, 115877816224])",
  "created_at": "2026-09-09 05:21:42",
  "updated_at": "2026-09-09 05:21:42"
}