{
  "id": 5188,
  "curve_key": "5184:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-108",
    "0"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 25.65999671409633,
  "faltings_height": 0.20657347114951807,
  "conductor": "288",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "80621568",
  "regulator": "1",
  "points": [],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogeny partner of curve #5139: https://elliptic-rank.icarm.cloud/curve/5139. Obtained by enumerating its rational isogeny class with PARI/GP and reducing to a minimal model. No points submitted; PARI/GP returned rank bounds [0,0]. Rational torsion C2. Source-attributed isogeny partner.",
  "created_at": "2026-10-21 09:04:05",
  "updated_at": "2026-10-21 09:04:05"
}