{
  "id": 1047,
  "curve_key": "13768969:-50886801253",
  "ainvs": [
    "1",
    "0",
    "1",
    "-286854",
    "58872856"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6,
    2
  ],
  "naive_height": 49.31378398496878,
  "faltings_height": 1.9363612854308663,
  "conductor": "2310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11"
  ],
  "discriminant": "12104550027662400",
  "regulator": "1.663762100901515510587480200826255368251",
  "points": [
    [
      "269",
      "957"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 2310g2 = LMFDB 2310.h5: https://www.lmfdb.org/EllipticCurve/Q/2310/h/5\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 2310, minimal discriminant 12104550027662400, torsion ℤ/2ℤ × ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:20:47",
  "updated_at": "2026-09-23 15:20:47"
}