{
  "id": 3024,
  "curve_key": "143322588736:-34606948474708480",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2985887265",
    "40053343216639"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 77.06509137554735,
  "faltings_height": 4.459247361804093,
  "conductor": "43121536946337856",
  "bad_primes": [
    "2",
    "23",
    "41",
    "73",
    "359",
    "449",
    "1481"
  ],
  "discriminant": "1010648521564987157762875031552",
  "regulator": "33029.1048742026573009818023985947082977475069520810435",
  "points": [
    [
      "-4711",
      "7349512"
    ],
    [
      "-57271",
      "-4818128"
    ],
    [
      "270955",
      "-138288408"
    ],
    [
      "-14611",
      "8975588"
    ],
    [
      "75017",
      "-15434656"
    ],
    [
      "10490755/729",
      "-5016526136/19683"
    ],
    [
      "54537",
      "-6278816"
    ],
    [
      "467971/9",
      "-136025864/27"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1349 via the rational 2-torsion point x=30203. 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 20:33:48",
  "updated_at": "2026-09-26 20:33:48"
}