{
  "id": 5584,
  "curve_key": "0:1030239413635569408",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-1192406728744872"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 82.95264577909433,
  "faltings_height": 4.970376390716155,
  "conductor": "52660511361335064931572825792",
  "bad_primes": [
    "2",
    "3",
    "406661",
    "13574947"
  ],
  "discriminant": "-614232204518612197361865440037888",
  "regulator": "4683830870.066243569481301607602230135433453674307420075446",
  "points": [
    [
      "106122",
      "1651176"
    ],
    [
      "169482",
      "60628536"
    ],
    [
      "209838",
      "89706060"
    ],
    [
      "430113",
      "279959445"
    ],
    [
      "436782",
      "286594164"
    ],
    [
      "1397838",
      "1652305860"
    ],
    [
      "2004762",
      "2838324816"
    ],
    [
      "1943134/9",
      "2543140196/27"
    ],
    [
      "2038233/4",
      "2896775523/8"
    ],
    [
      "5760104673/54289",
      "17930131695243/12649337"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #5583. PARI/GP gives exact rank 10. Source curve from Jesper Petersen’s Burkhardt quartic specialization at t = 59/19 with affine quadruple (a,b,c,d) = (-11/2,12,6,3/2).",
  "created_at": "2026-10-23 20:09:19",
  "updated_at": "2026-10-23 20:09:19"
}