{
  "id": 5396,
  "curve_key": "0:50904326016",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-58917044"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 49.30642749476512,
  "faltings_height": 2.1665248670220554,
  "conductor": "93722887989844272",
  "bad_primes": [
    "2",
    "3",
    "14729261"
  ],
  "discriminant": "-1499566207837508352",
  "regulator": "143069.4798372219917553685611507561662742821643108658",
  "points": [
    [
      "390",
      "634"
    ],
    [
      "405",
      "2741"
    ],
    [
      "414",
      "3470"
    ],
    [
      "702",
      "16942"
    ],
    [
      "2022",
      "90598"
    ],
    [
      "2070",
      "93866"
    ],
    [
      "13614",
      "1588450"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of https://elliptic-rank.icarm.cloud/curve/5382, submitted by Daniel Błażewicz. Starting from the Mordell curve y^2 = x^3 + 1590760188, apply the standard rational 3-isogeny and reduce by rational sixth-power scaling to obtain y^2 = x^3 - 58917044. 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 93722887989844272 as the source curve. No original-discovery claim.",
  "created_at": "2026-10-21 21:21:32",
  "updated_at": "2026-10-21 21:21:32"
}