{
  "id": 2969,
  "curve_key": "3020401:4887919351",
  "ainvs": [
    "1",
    "1",
    "1",
    "-62925",
    "-5683533"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 44.762700485979984,
  "faltings_height": 1.685414550806285,
  "conductor": "107070",
  "bad_primes": [
    "2",
    "3",
    "5",
    "43",
    "83"
  ],
  "discriminant": "2119690808010000",
  "regulator": "12.4185157223613521437620514156128568939670",
  "points": [
    [
      "385",
      "5036"
    ],
    [
      "377",
      "4746"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 107070r2 = LMFDB 107070.t4: https://www.lmfdb.org/EllipticCurve/Q/107070/t/4\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 107070, minimal discriminant 2119690808010000, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:30:55",
  "updated_at": "2026-09-26 20:30:55"
}