{
  "id": 5464,
  "curve_key": "0:1050574314772049184",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-1215942493949131"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 82.9917373099604,
  "faltings_height": 4.973634018288329,
  "conductor": "944850556496172234811749649452",
  "bad_primes": [
    "2",
    "3",
    "13",
    "137",
    "52517708027"
  ],
  "discriminant": "-638718976191412430732742763029552",
  "regulator": "19771643556.17392377579735112340133801796544672226012083375",
  "points": [
    [
      "131183",
      "32273566"
    ],
    [
      "172943",
      "62901974"
    ],
    [
      "819923",
      "741617656"
    ],
    [
      "953411",
      "930283580"
    ],
    [
      "1471769/4",
      "1763571485/8"
    ],
    [
      "15400177/144",
      "4648128823/1728"
    ],
    [
      "471637465/36",
      "10242649868867/216"
    ],
    [
      "1214235971/3025",
      "41911499602856/166375"
    ],
    [
      "8776758497/1024",
      "822244170719023/32768"
    ],
    [
      "15478806425/484",
      "1925777886914851/10648"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-10 Mordell curve found through Mestre's polynomial cube-completion construction using the integer sextuple (-55,-53,-11,17,47,55).",
  "created_at": "2026-10-22 07:10:13",
  "updated_at": "2026-10-22 07:10:13"
}