{
  "id": 5665,
  "curve_key": "2372026607788167646151046537436761:-115915967675207085419495763772188069217317012151005",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-49417220995586825961480136196599",
    "134161999624082287145388308818220459371558368769"
  ],
  "rank_lower_bound": 23,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 230.55389995142204,
  "faltings_height": 17.032549945666855,
  "conductor": "39766247330849852625400691919003958147425632867140192142342159145143318089727618106256358",
  "bad_primes": [
    "2",
    "13",
    "23",
    "62219",
    "80713",
    "105269",
    "81143401155738689129586097",
    "1550219530537495813826821888244255452594796951"
  ],
  "discriminant": "-52245134340754521478367181447338914237836681014645987277761982737844162166192683033708240678548",
  "regulator": "3948132352215375837475295.18574242589674939344904111129988468820155636982342401943976",
  "points": [
    [
      "2985932527785413",
      "-115010733735269963763483"
    ],
    [
      "3925433208024677",
      "-25789556742181017321002"
    ],
    [
      "15428007681612430/9",
      "-6302473697730760028476711/27"
    ],
    [
      "3305485486472648",
      "-83250237364382725302015"
    ],
    [
      "-182832429369900451/25",
      "40392242980054293156401022/125"
    ],
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      "-8102125461937392",
      "-51836852050317855153983"
    ],
    [
      "982074627174144511/81",
      "836699916632910209929120670/729"
    ],
    [
      "-10736741490716899237/1444",
      "-16509953470258755704146050069/54872"
    ],
    [
      "12476377210796558",
      "1208174997852165389733267"
    ],
    [
      "-31823455420499949/25",
      "-55199133140981433527606389/125"
    ],
    [
      "1120429478715454",
      "-283196104521004379947657"
    ],
    [
      "1958845946320625",
      "211843148993107542971113"
    ],
    [
      "4093923564926700",
      "21603085362691824690713"
    ],
    [
      "7147674171821070",
      "-382247423497391872973677"
    ],
    [
      "16669610099191223/4",
      "-195443103810851588246781/8"
    ],
    [
      "2255031181895568",
      "184910335036104232897967"
    ],
    [
      "4783217912989033",
      "-84998449205504904559983"
    ],
    [
      "7354281973758510",
      "-410479686751668982739953"
    ],
    [
      "3878099938804206",
      "29023765522676838633955"
    ],
    [
      "415180525239935150/289",
      "-1263449723320242501777913869/4913"
    ],
    [
      "-12061009200263005/4",
      "4045766032384054639054961/8"
    ],
    [
      "3798862128343104",
      "-35433213079163728882687"
    ],
    [
      "36519098806671732828/7921",
      "-46371466085001036399942543965/704969"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -53/359 of the rank-17 fibration of X1008 given in curve#751. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-24 01:50:41",
  "updated_at": "2026-10-24 01:50:41"
}