{
  "id": 1207,
  "curve_key": "274434764916753:-4546272283385999469849",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-5717390935766",
    "5261890646229677772"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 99.7372040941748,
  "faltings_height": 5.931843073915579,
  "conductor": "695204037449814249",
  "bad_primes": [
    "3",
    "7",
    "19",
    "43",
    "59",
    "193",
    "199",
    "709",
    "1201"
  ],
  "discriminant": "178828150570193877479607274715069217",
  "regulator": "28093356.1816485056207788912370612358517506153078567197",
  "points": [
    [
      "8051966052/121",
      "722020623269941/1331"
    ],
    [
      "7732730492/5329",
      "55999233557748/389017"
    ],
    [
      "4623587",
      "8810634006"
    ],
    [
      "69077908/9",
      "-549164929588/27"
    ],
    [
      "678371948",
      "17668138266207"
    ],
    [
      "169679052/121",
      "57679495981/1331"
    ],
    [
      "96165084/25",
      "-792636526733/125"
    ],
    [
      "31677603",
      "177780924462"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#1205, mapping its eight independent witness points to the global minimal model. The image curve has torsion Z/2Z. Isogenies preserve the Mordell-Weil rank, and all eight image points are independently certified by the site verifier. The conductor is 695204037449814249, unchanged by the isogeny.",
  "created_at": "2026-09-24 11:36:44",
  "updated_at": "2026-09-24 11:36:44"
}