{
  "id": 5404,
  "curve_key": "0:22725029613312",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-26302117608"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 61.50897611821456,
  "faltings_height": 3.1834039189761754,
  "conductor": "50537029049971776",
  "bad_primes": [
    "2",
    "3",
    "13",
    "720527"
  ],
  "discriminant": "-298858200767307493198848",
  "regulator": "73638.66562022556651486064216336890056291130126828376",
  "points": [
    [
      "2977",
      "9035"
    ],
    [
      "3198",
      "80028"
    ],
    [
      "4602",
      "266760"
    ],
    [
      "5898",
      "422928"
    ],
    [
      "9802",
      "956800"
    ],
    [
      "18993",
      "2612493"
    ],
    [
      "76089/25",
      "5435937/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5378, submitted by Daniel Błażewicz. Starting from the Mordell curve y^2 = x^3 + 974152504, apply the standard rational 3-isogeny to y^2 = x^3 - 27*974152504 = x^3 - 26302117608. The seven displayed points were recovered and checked on this endpoint; PARI/GP returned rank bounds [7,7] and a nonzero Neron-Tate height determinant. Same conductor 50537029049971776 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:34:44",
  "updated_at": "2026-10-21 21:34:44"
}