{
  "id": 5663,
  "curve_key": "2521078841572756050538910930981620521:-4021760339168106087305548524949306075539082723957055445",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-52522475866099084386227311062117094",
    "4654815207370493169734263092623504980282617955294384"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 251.46262944755335,
  "faltings_height": 18.788256744000318,
  "conductor": "207305278122121647122102398619442186406224143695264547199350618664694926142867088683860319890176858",
  "bad_primes": [
    "2",
    "13",
    "29",
    "43",
    "277427",
    "45934321",
    "3234901481815992014538352007",
    "11931089963207861994793682650012495295993252192041487"
  ],
  "discriminant": "-87376272454580564558906451584514209379613789429542272940865494858507605640252477741005550789231083170988",
  "regulator": "2530939265120226410347844242.0062408884694846293507304662649251781595198260254447380631",
  "points": [
    [
      "159272191481830411",
      "18160494212114647803648285"
    ],
    [
      "122692523713095853",
      "-7592530750827433369517343"
    ],
    [
      "-262719509212486458",
      "-17893826703873510149169670"
    ],
    [
      "74272770486459633",
      "-34110805120917424563411818"
    ],
    [
      "-357919481485959",
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    ],
    [
      "-63094440850893013",
      "87849406748312152480740445"
    ],
    [
      "570367787440817575/4",
      "64388146142006038914242251/8"
    ],
    [
      "290755168169492270",
      "-118167928987187460045738312"
    ],
    [
      "-237490275689028118",
      "-61102811388200258611726940"
    ],
    [
      "1143376460306557606/9",
      "154329165450037866666702046/27"
    ],
    [
      "-13002588540195397335/64",
      "-42651997549615401780296138791/512"
    ],
    [
      "132832510464249190",
      "-4677916635944982125279238"
    ],
    [
      "7901290328506735528/81",
      "15628688722195834953340057328/729"
    ],
    [
      "-22605759154033355/9",
      "1868025931272019637034601979/27"
    ],
    [
      "-34642411321970043",
      "-80204402466420716133009167"
    ],
    [
      "3311303498200999629/25",
      "-583419210860804682708601843/125"
    ],
    [
      "9529465040158966",
      "-64460604153426634798589830"
    ],
    [
      "608848176881930488762/9",
      "15023150778394583795632998750214/27"
    ],
    [
      "759391898947017275447/6724",
      "-7051518434694129286933269830805/551368"
    ],
    [
      "111331193196229405",
      "-13687028821352496963975807"
    ],
    [
      "-25492270215523352",
      "77312133949432183906355520"
    ],
    [
      "121113554823023231587/4",
      "-1332836025181670943939366018555/8"
    ],
    [
      "68602707502465410",
      "-37074226120987998309722068"
    ],
    [
      "141319318952483757",
      "7394862479809865616094433"
    ]
  ],
  "submitter": "apkorte",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-24 01:16:07"
    }
  ],
  "commentary": "Specialization at T = -77/226 of the rank-17 fibration of X1008 given in curve#3594. 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 01:09:24",
  "updated_at": "2026-10-24 01:16:07"
}