{
  "id": 5393,
  "curve_key": "0:514472078664",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-595453795"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 53.93281424374654,
  "faltings_height": 2.5520570961038405,
  "conductor": "70037574653269161",
  "bad_primes": [
    "3",
    "139",
    "634643"
  ],
  "discriminant": "-153172175766699655107",
  "regulator": "158294.8875698130636943977238083030328109746091060912",
  "points": [
    [
      "843",
      "1903"
    ],
    [
      "865",
      "7194"
    ],
    [
      "951",
      "16267"
    ],
    [
      "1003",
      "20336"
    ],
    [
      "1201",
      "33717"
    ],
    [
      "3705",
      "224194"
    ],
    [
      "45663",
      "9757651"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5383, submitted by Daniel Błażewicz. Completing the square gives the Mordell model Y^2 = x^3 + 88215377/4; its standard rational 3-isogeny gives Y^2 = x^3 - 27*88215377/4, whose minimal integral model is [0,0,1,0,-595453795]. 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 70037574653269161 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:18:03",
  "updated_at": "2026-10-21 21:18:03"
}