{
  "id": 5440,
  "curve_key": "0:-273024",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "316"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 25.034629964781935,
  "faltings_height": 0.14387507285678997,
  "conductor": "898704",
  "bad_primes": [
    "2",
    "3",
    "79"
  ],
  "discriminant": "-43137792",
  "regulator": "3.9332011649135979131614660314154197493328412",
  "points": [
    [
      "-6",
      "10"
    ],
    [
      "-3",
      "17"
    ],
    [
      "2",
      "18"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Mordell curve y^2=x^3+316. PARI/GP 2.17.4 returned rank bounds [3,3] with generators [-6,10], [-3,17] and [2,18], trivial rational torsion, conductor 898704, minimal discriminant -43137792, and bad primes 2, 3 and 79. Found in a bounded exact small-coefficient Mordell sweep.",
  "created_at": "2026-10-22 00:05:11",
  "updated_at": "2026-10-22 00:05:11"
}