{
  "id": 5078,
  "curve_key": "-11001021547824:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "229187948913",
    "0"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 90.08702775719686,
  "faltings_height": 5.575492724741229,
  "conductor": "373526157702740607157824",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "59",
    "101",
    "127"
  ],
  "discriminant": "-770469245543204061420401721362207808",
  "regulator": "27056157.33850264440756526992451194868436448589250606",
  "points": [
    [
      "799236",
      "832892418"
    ],
    [
      "941017/16",
      "7486303517/64"
    ],
    [
      "19442500/9",
      "87808940450/27"
    ],
    [
      "1320976273/3136",
      "72680717760839/175616"
    ],
    [
      "17849964825/13924",
      "2545688780812485/1643032"
    ],
    [
      "27457795057/54756",
      "6290393640633487/12812904"
    ],
    [
      "43021617408/104329",
      "13672927024794576/33698267"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained from the Aguirre–Castaneda–Peral parametrization at tuple (12,15,31,36), reduced by rational fourth-power scaling. Reference: \"High rank elliptic curves with torsion group Z/(2Z)\", Math. Comp. 73 (2004), 323–331, doi:10.1090/S0025-5718-03-01547-3. Selected in a bounded tuple search using a small-prime sieve and height screening, following the search approach described by David Renshaw on https://elliptic-rank.icarm.cloud/curve/4986. Seven rational points checked exactly; PARI/GP returned rank bounds [7,7]. Rational torsion C2.",
  "created_at": "2026-10-21 02:16:05",
  "updated_at": "2026-10-21 02:16:05"
}