{
  "id": 5434,
  "curve_key": "0:186624",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-216"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 24.273702352976443,
  "faltings_height": 0.08046443853966545,
  "conductor": "576",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "-20155392",
  "regulator": "1.959704032628930569560460611530367297833",
  "points": [
    [
      "10",
      "28"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of ICARM curve #5430, using the standard Mordell isogeny y^2=x^3+b -> y^2=x^3-27b with b=8. PARI/GP 2.17.4 returned rank bounds [1,1], generator [10,28], rational torsion Z/2Z generated by [6,0], conductor 576, minimal discriminant -20155392, and bad primes 2 and 3.",
  "created_at": "2026-10-22 00:01:29",
  "updated_at": "2026-10-22 00:01:29"
}