{
  "id": 3620,
  "curve_key": "187630387989016690576:-2484102997593569646816134853824",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3908966416437847720",
    "2875119211480731452257216432"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 140.04301704069306,
  "faltings_height": 9.590407335537746,
  "conductor": "188622615993334511234840880",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "29",
    "31",
    "37",
    "61",
    "79",
    "103",
    "3299",
    "6337",
    "15923"
  ],
  "discriminant": "251614928158591148671993995923859512114002303073856000000",
  "regulator": "187905380205.8684821677578431282757231270166893874003236012",
  "points": [
    [
      "878558717",
      "10908335505054"
    ],
    [
      "3586143324",
      "187019594796320"
    ],
    [
      "68851525844",
      "18058976726161800"
    ],
    [
      "-64104617145014/380689",
      "13952609328653665865910/234885113"
    ],
    [
      "13881180418921/10609",
      "798152710794543000/1092727"
    ],
    [
      "16491463944946/2209",
      "64819609160516174250/103823"
    ],
    [
      "47833739116153/49729",
      "25037118280730392848/11089567"
    ],
    [
      "227028873825121/235225",
      "136165707416169560844/114084125"
    ],
    [
      "2974141203828796/1006009",
      "132170788764257239900800/1009027027"
    ],
    [
      "39089448856378308436/40798748169",
      "25302117525815482726837177000/8240816746411803"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = 32/9 of the rank-9 fibration of X400, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #802 (same T), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-29 19:20:57",
  "updated_at": "2026-09-29 19:20:57"
}