{
  "id": 4663,
  "curve_key": "307881721:-3992746335245",
  "ainvs": [
    "1",
    "1",
    "0",
    "-6414202",
    "4618561600"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 58.6356787333649,
  "faltings_height": 2.9080101700667846,
  "conductor": "568648314593502",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "113",
    "139",
    "313",
    "1193"
  ],
  "discriminant": "7663449288340676614212",
  "regulator": "3350.593623037901708739610180389158399173869955266249",
  "points": [
    [
      "-2258",
      "88282"
    ],
    [
      "-1686",
      "104012"
    ],
    [
      "-2138",
      "93616"
    ],
    [
      "2043",
      "5815"
    ],
    [
      "574",
      "33274"
    ],
    [
      "3286",
      "136330"
    ],
    [
      "2051",
      "8774"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Seven supplied rational points checked exactly on the displayed model. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 18:11:41",
  "updated_at": "2026-10-20 18:11:41"
}