{
  "id": 5406,
  "curve_key": "0:633525681024",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-733247316"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 54.34913274840647,
  "faltings_height": 2.586750304825501,
  "conductor": "55160729088048",
  "bad_primes": [
    "2",
    "3",
    "19",
    "6269"
  ],
  "discriminant": "-232265502613960065792",
  "regulator": "3712.9281912244720780862111836223903409338990793274",
  "points": [
    [
      "1206",
      "31950"
    ],
    [
      "1558",
      "55214"
    ],
    [
      "1710",
      "65322"
    ],
    [
      "2565",
      "127053"
    ],
    [
      "3078",
      "168606"
    ],
    [
      "22230",
      "3314322"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5366, submitted by Daniel Błażewicz. Starting from the Mordell curve y^2 = x^3 + 27157308, apply the standard rational 3-isogeny to y^2 = x^3 - 27*27157308 = x^3 - 733247316. The six displayed points were recovered and checked on this endpoint; PARI/GP returned rank bounds [6,6] and a nonzero Neron-Tate height determinant. Same conductor 55160729088048 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:38:55",
  "updated_at": "2026-10-21 21:38:55"
}