{
  "id": 2901,
  "curve_key": "30528877551083181012010800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-636018282314232937750225",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 176.04214581746075,
  "faltings_height": 12.738419229763219,
  "conductor": "20352585034055454008007200",
  "bad_primes": [
    "2",
    "5",
    "7",
    "17",
    "97",
    "173",
    "79873"
  ],
  "discriminant": "16466025088427243524013795733436718809532818356620276045546854930729000000",
  "regulator": "206180094.6006557895749314710527906453024507306912545",
  "points": [
    [
      "2349199039600",
      "3386809128504045300"
    ],
    [
      "41883387252225625/50176",
      "2531093164311743323699875/11239424"
    ],
    [
      "6509060981758225/1764",
      "512730950467913482286575/74088"
    ],
    [
      "-146714976202711/256",
      "1719681914167176638763/4096"
    ],
    [
      "-175963973031/1600",
      "535262302497630295203/64000"
    ],
    [
      "35159109215008497740224/13053291001",
      "6296998563844081793621591937052968/1491351550155251"
    ],
    [
      "2829381632947105879686876/212780569",
      "4759236582163811059977032999691297174/3103830160003"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Watkins et al. (2014), §15 electronic data, rank ≥ 7 congruent-number twist d=797507543735; https://doi.org/10.5802/pmb.9 ; witness x-coordinates: https://magma.maths.usyd.edu.au/~watkins/PTS.r6r7",
  "created_at": "2026-09-26 20:27:34",
  "updated_at": "2026-09-26 20:27:34"
}