{
  "id": 5402,
  "curve_key": "0:357563401704",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-413846530"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 53.20515706156011,
  "faltings_height": 2.4914189975883043,
  "conductor": "33830903740467681",
  "bad_primes": [
    "3",
    "2441",
    "25117"
  ],
  "discriminant": "-73988186480402818347",
  "regulator": "131230.3941731175606686103542689212090672792243467362",
  "points": [
    [
      "3417/4",
      "115799/8"
    ],
    [
      "946",
      "20802"
    ],
    [
      "996",
      "23962"
    ],
    [
      "1320",
      "43429"
    ],
    [
      "1698",
      "66946"
    ],
    [
      "1968",
      "84901"
    ],
    [
      "438801/100",
      "289957549/1000"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5376, submitted by Daniel Błażewicz. Completing the square gives the Mordell model Y^2 = x^3 + 61310597/4; applying the standard rational 3-isogeny and returning to a minimal integral model gives [0,0,1,0,-413846530]. 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 33830903740467681 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:30:24",
  "updated_at": "2026-10-21 21:30:24"
}