{
  "id": 2928,
  "curve_key": "15390299476155969:1091665398030105664294047",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-320631239086583",
    "-1263501537932590302769"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 111.81754140513476,
  "faltings_height": 7.362687382090547,
  "conductor": "934571286991717830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "23",
    "37",
    "47",
    "59",
    "61",
    "601",
    "1319"
  ],
  "discriminant": "1419926664672408870750603347523624314511360000",
  "regulator": "539671.6539876612388721537605945151902894191337373076",
  "points": [
    [
      "-9599405",
      "-30487756898"
    ],
    [
      "-799081805/81",
      "-22341023805842/729"
    ],
    [
      "-9621833901/625",
      "76561704922318/15625"
    ],
    [
      "-25724247305/1681",
      "531959906342942/68921"
    ],
    [
      "19721883",
      "-9170942690"
    ],
    [
      "42983286555/1849",
      "-4931450853903686/79507"
    ],
    [
      "63600709970971/1125721",
      "-479224106231258809498/1194389981"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#2086 via the rational 2-torsion point x=123646443/4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.",
  "created_at": "2026-09-26 20:28:47",
  "updated_at": "2026-09-26 20:28:47"
}