{
  "id": 625,
  "curve_key": "2258267513304593948330462229201:-3398644813753594136322601523593077382788990105",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-47047239860512373923551296442",
    "3933616682585190160331494669289172303089145"
  ],
  "rank_lower_bound": 22,
  "torsion": [],
  "naive_height": 209.67941190541652,
  "faltings_height": 15.261178996642197,
  "conductor": "214830001287596349624206698595249377510923944541593010474955868696121214",
  "bad_primes": [
    "2",
    "7",
    "13",
    "19",
    "622526231",
    "3675756619037",
    "1428933235076763360626659255797024274401157631"
  ],
  "discriminant": "-19755076476754315868459409671256715103138590167284350219499075544428004109147912798208",
  "regulator": "1025696014974282830828.487196174684517823268436620553064745886950971432232592234064",
  "points": [
    [
      "-58024976337032999/361",
      "-18586595227860985954662771/6859"
    ],
    [
      "791498052855361846056756505/14536673664601",
      "-68631573561110382318037373729655198532459/55423961144350568099"
    ],
    [
      "6567652370902875549259111153/180923724722521",
      "-3669448600661353035534858699411218006698989/2433566846336713519069"
    ],
    [
      "8792794536993445/9",
      "-805704170973989778670255/27"
    ],
    [
      "152512418295356919/1225",
      "3325638764792625488814627/42875"
    ],
    [
      "147574541884448804017249/27112849",
      "-56647058238306739874170297858231279/141176604743"
    ],
    [
      "7282888352047030279641/126585001",
      "1695503198805636195195926762552877/1424207846251"
    ],
    [
      "9754024832574742207600833/1480171729",
      "30446921323719165385255294434474098735/56946646929817"
    ],
    [
      "103223904672639224744691876094213/823754320152829129",
      "-57033886503760212342233183856831175124003008431/747646936081370471740543867"
    ],
    [
      "-31400183607047733880344297327/1589113700688721",
      "139588929812717972604722628840372626218069823/63347934349894259751769"
    ],
    [
      "-28013896008270237317/385641",
      "-632158785411890157834917253263/239483061"
    ],
    [
      "-206390422939139509545264633319/945853970958121",
      "-56780693684719208902205443336167601839872851/29089492008930591285419"
    ],
    [
      "34503781509673332553490491089/290452157619649",
      "719255012628253081117471695216314619304231/4950076497221614367393"
    ],
    [
      "-186036427805921",
      "2499495965136489808135"
    ],
    [
      "-115864613745600415308403228232197291/605416447575227969209",
      "36268908016809048807530461167322692188362086643528723/14896399917975831272945639558573"
    ],
    [
      "-1424353141540465703/259081",
      "270003446520555880813142787875/131872229"
    ],
    [
      "67936255972355327002873/32410249",
      "17616046741198233218696132543970435/184511547557"
    ],
    [
      "9087582222171408943113/9504889",
      "-845720022168645902384646937022811/29303572787"
    ],
    [
      "40477887504914950260467272941/112097167884025",
      "-6923315716227737945979446772953118923938371/1186839414203063669875"
    ],
    [
      "56407368843232531184929364252113/182065837570693696",
      "-339481746105843577301915468759027781612735038061/77685988299333315870496256"
    ],
    [
      "235371221685118861267593185/1273699587889",
      "-1789660770180705090890775533845716793247/1437475701998531287"
    ],
    [
      "25718839984760908289185/12552849",
      "4102324577435129021229578912369233/44474744007"
    ]
  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "Specialization at T = 1/7 of the rank-16 fibration of X948 given by:\r\ny^2 + (Lx+B)y = x(x+D)(x+E),\r\nwhere\r\nB = pE + qD + pq(L-p-q),\r\nL = 97707258T^2 - 9961276T + 6503447,\r\np = 338797T + 722543,\r\nq = 1331(259171T^2 - 47235T - 2376),\r\nD = -12716840686473T^3 + 179128496547750T^2 - 5367669020897T - 5533394341440,\r\nE = 1124695(1356894976T^4 + 186730030T^3 - 206407447T^2 - 2883375T - 627264).",
  "created_at": "2026-09-07 07:16:54",
  "updated_at": "2026-09-07 07:16:54"
}