{
  "id": 1256,
  "curve_key": "2443472177078000176:-3819540582434062891434512600",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-50905670355791670",
    "4420764579970944391090872"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 127.01985531969324,
  "faltings_height": 8.093877271543747,
  "conductor": "24491520312771563",
  "bad_primes": [
    "193",
    "199",
    "389",
    "1151",
    "1424231"
  ],
  "discriminant": "-1220269318349108529747840814966737170656926683",
  "regulator": "24401.49715192084355416771587503607810962491860",
  "points": [
    [
      "506689981/4",
      "565297001347/8"
    ],
    [
      "157808613554020/1207801",
      "10380926056793881392/1327373299"
    ],
    [
      "10496514177192804724/28167244561",
      "28832806443045833941360116240/4727336821917191"
    ],
    [
      "2820850144966927/1580049",
      "148677490644401086343900/1986121593"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+(t+1)xy+ty=x^3+tx^2 with torsion Z/5Z, at t=38407/389.",
  "created_at": "2026-09-24 16:29:40",
  "updated_at": "2026-09-24 16:29:40"
}