{
  "id": 3639,
  "curve_key": "20144297931257509923591121:-90387292432511208423679462349271622169",
  "ainvs": [
    "1",
    "1",
    "1",
    "-419672873567864790074815",
    "104614921796713109015272026649125797"
  ],
  "rank_lower_bound": 13,
  "torsion": [
    2
  ],
  "naive_height": 174.79489049737217,
  "faltings_height": 12.294969781941692,
  "conductor": "1284522297763555835148164816047706661990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "31",
    "59",
    "73",
    "191",
    "193",
    "487",
    "641",
    "691",
    "751",
    "4951",
    "15161",
    "340519"
  ],
  "discriminant": "2631482848787910831318696140654317366291881968892199437514982400000000",
  "regulator": "18488679873557.02769566042068264331069808071407486770963879712768",
  "points": [
    [
      "-739980079813",
      "99866341560850626"
    ],
    [
      "-695453973793",
      "245188933397930646"
    ],
    [
      "-418062552343",
      "454969449064279746"
    ],
    [
      "1447210593203/4",
      "93482152657207293/8"
    ],
    [
      "363278237755",
      "9955746927195138"
    ],
    [
      "379103896907",
      "150947988673746"
    ],
    [
      "510021524027",
      "152448159655536066"
    ],
    [
      "3224138878843/9",
      "423856368128490862/27"
    ],
    [
      "391552054771267/81",
      "7681631728225505255434/729"
    ],
    [
      "2488609601429275/6241",
      "12784130083356131744862/493039"
    ],
    [
      "3394068702935107/10201",
      "43886305603604409781946/1030301"
    ],
    [
      "7481805254580955/22201",
      "126295256399581434059762/3307949"
    ],
    [
      "15899482391642627/44521",
      "158979692904498319859766/9393931"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = -23/90 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 19:24:50",
  "updated_at": "2026-09-29 19:24:50"
}