{
  "id": 4755,
  "curve_key": "0:10711818123956062891776",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-12397937643467665384"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 101.45126916480027,
  "faltings_height": 6.511928339524983,
  "conductor": "4150139160905439335634474289855580421312",
  "bad_primes": [
    "2",
    "3",
    "174900953",
    "8860684741"
  ],
  "discriminant": "-66402226574487029370151588637689286740992",
  "regulator": "4056137380463.064421321640463527907924113791337808881329590870448",
  "points": [
    [
      "2361017",
      "873681023"
    ],
    [
      "2754494",
      "2915658020"
    ],
    [
      "2831369",
      "3209385895"
    ],
    [
      "3488990",
      "5483950796"
    ],
    [
      "3886025",
      "6803356921"
    ],
    [
      "4111370",
      "7556324704"
    ],
    [
      "4361897",
      "8401913417"
    ],
    [
      "5152202",
      "11152050032"
    ],
    [
      "6828062",
      "17491223788"
    ],
    [
      "7870910",
      "21799416796"
    ],
    [
      "8405057",
      "24111764197"
    ],
    [
      "9466622",
      "28913174908"
    ],
    [
      "16325630",
      "65869644796"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + -12397937643467665384. Source: N. D. Elkies, 'j=0, rank 15; also 3-rank 6 and 7 in real and imaginary quadratic fields', NMBRTHRY post, 30 Dec 2009, https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;6a3fad67.0912&S=.",
  "created_at": "2026-10-20 21:28:33",
  "updated_at": "2026-10-20 21:28:33"
}