{
  "id": 6160,
  "curve_key": "1419277998877328167225343536163111616:-1756230229140188441786704471019752968955442577421409664",
  "ainvs": [
    "0",
    "0",
    "0",
    "-29568291643277670150527990336731492",
    "2032673876319662548364241285902491862216947427571076"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 249.80552923657189,
  "faltings_height": 18.741838287304432,
  "conductor": "115095099937310703106659129718708004058942223594963625903587662089546222718527924681644846120",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "13",
    "67",
    "13241",
    "98867",
    "1065350999036085143277491773457393747",
    "30762604612820571914297711817434741987251"
  ],
  "discriminant": "-130452503840675926036797802713073566068936220056353890924242942093777181172173358286143485720937676000000",
  "regulator": "37208772026210545782826609.860750951798727992369225073715112843644715190591227749365410",
  "points": [
    [
      "402484040899014593/4",
      "69847258683591797941357825/8"
    ],
    [
      "646071976353466042",
      "502598931504124436400569150"
    ],
    [
      "157212717084262362",
      "-35634344661659904079320830"
    ],
    [
      "105387475076429640",
      "-9329221145028345348301514"
    ],
    [
      "700794666451677393/4",
      "-377782738004425693971487225/8"
    ],
    [
      "527052967757782985/4",
      "164783354054843295860251163/8"
    ],
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      "158219720270489530",
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    ],
    [
      "195225873438729385898/1849",
      "744934428061780806907384114970/79507"
    ],
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      "15800999048970242",
      "-39615784586949972513780850"
    ],
    [
      "-269458057013132807/4",
      "-487857606195083658185478125/8"
    ],
    [
      "1015936668099041248/9",
      "311760794020341596413936310/27"
    ],
    [
      "299176279633824232",
      "-141296666603636339584125610"
    ],
    [
      "88077229245843217",
      "-10566382528419576265832425"
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    [
      "247855977765244657",
      "99651541076941058073111815"
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    [
      "50989173611562566",
      "25643277090618734177620990"
    ],
    [
      "228166657443930653978/2209",
      "931789430747144482977089976350/103823"
    ],
    [
      "349355853947382073/4",
      "-86325821075465842556625485/8"
    ],
    [
      "100429471137417230",
      "-8722702053965417609608946"
    ],
    [
      "527499631647919908337/63001",
      "-668227121664552576627584991871145/15813251"
    ],
    [
      "-1002697222076041922/9",
      "1695640675449243405936249350/27"
    ],
    [
      "20005172198081177",
      "38067851510634821473330915"
    ],
    [
      "101232573195618832",
      "-8765527235477410678105490"
    ],
    [
      "86907836710119966",
      "10925661478149818380442350"
    ]
  ],
  "submitter": "apkorte",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-29 20:41:50"
    }
  ],
  "commentary": "Specialization at T = -287/2 of the rank-17 fibration of X1092 given in curve#1675. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-29 20:37:34",
  "updated_at": "2026-10-29 20:41:50"
}