{
  "id": 4722,
  "curve_key": "181378887497992663300800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3778726822874847152100",
    "0"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 160.66462529199808,
  "faltings_height": 11.456959185974663,
  "conductor": "60459629165997554433600",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "41",
    "43",
    "67",
    "83"
  ],
  "discriminant": "3453158104815629626844924644220676235650336693235057571440704000000",
  "regulator": "334590.55300819752770042581248724913386342823679286",
  "points": [
    [
      "357359562285",
      "210443685836202225"
    ],
    [
      "-46277294910",
      "8704157339770200"
    ],
    [
      "4694189254194/25",
      "9610000571457007128/125"
    ],
    [
      "-7597027350",
      "5316825173061600"
    ],
    [
      "4364802232681/16",
      "8884464763369266379/64"
    ],
    [
      "6230972994444/25",
      "15073220074408593372/125"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 61471349610. Source: Watkins et al. electronic data http://magma.maths.usyd.edu.au/~watkins/PTS.r6r7 (paper Sec. 15); Watkins, Donnelly, Elkies, Fisher, Granville, Rogers, 'Ranks of quadratic twists of elliptic curves', Publ. Math. Besancon 2014/2, 63-98, doi:10.5802/pmb.9 (https://pmb.centre-mersenne.org/item/10.5802/pmb.9.pdf).",
  "created_at": "2026-10-20 21:26:01",
  "updated_at": "2026-10-20 21:26:01"
}