{
  "id": 4753,
  "curve_key": "0:-35445612656770153056",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "41025014649039529"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 90.0290623155335,
  "faltings_height": 5.560077768752754,
  "conductor": "60589865770340686157128399363506276",
  "bad_primes": [
    "2",
    "3",
    "25969",
    "164357",
    "9611813"
  ],
  "discriminant": "-727078389244088233885540792362075312",
  "regulator": "26036737538.065834850712116252578577612096412346636485744956148",
  "points": [
    [
      "-344797",
      "5816634"
    ],
    [
      "-344734",
      "7503225"
    ],
    [
      "-341550",
      "34365977"
    ],
    [
      "-322522",
      "86464641"
    ],
    [
      "-321337",
      "88569576"
    ],
    [
      "-319080",
      "92405773"
    ],
    [
      "-281340",
      "136953773"
    ],
    [
      "-184992",
      "186263821"
    ],
    [
      "-128070",
      "197292727"
    ],
    [
      "-62557",
      "201941094"
    ],
    [
      "-45897",
      "202307516"
    ],
    [
      "69795",
      "203383898"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + 41025014649039529. 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 21:28:25",
  "updated_at": "2026-10-20 21:28:25"
}