{
  "id": 1068,
  "curve_key": "35974129:-228061350217",
  "ainvs": [
    "1",
    "0",
    "0",
    "-749461",
    "263897441"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    12
  ],
  "naive_height": 52.305761019208944,
  "faltings_height": 2.3012223518328137,
  "conductor": "30030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13"
  ],
  "discriminant": "-3157693080314572800",
  "regulator": "1.635056160791804448774403022446666923237",
  "points": [
    [
      "394",
      "5263"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 30030bt1 = LMFDB 30030.bt7: https://www.lmfdb.org/EllipticCurve/Q/30030/bt/7\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 30030, minimal discriminant -3157693080314572800, torsion ℤ/12ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:24:00",
  "updated_at": "2026-09-23 15:24:00"
}