{
  "id": 3615,
  "curve_key": "343025756436739462900154425:-6300215740443836554660799358429852758125",
  "ainvs": [
    "1",
    "0",
    "1",
    "-7146369925765405477086551",
    "7291916366253844925956185473652201998"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 183.2995433035683,
  "faltings_height": 13.132276476566796,
  "conductor": "1307294923137952127239328526450558626015820657750718325629240650",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "43",
    "34549",
    "4387647745637257",
    "46105063745128339757646112073002407301"
  ],
  "discriminant": "387719886337471451977789562313536262498893766712219458873300045719822437500",
  "regulator": "281234330321755701591681202.444225372625472990565866980177968634053404326660892",
  "points": [
    [
      "2041413485312",
      "1100246106266938581"
    ],
    [
      "-65586127374588718911432/73249798609",
      "71404618502477435978460686288138003/19824838244130023"
    ],
    [
      "-16298101702046029029786/226335208009",
      "300847531230034540963256759555721991/107678296204657723"
    ],
    [
      "-14455530512746682852298/8739819169",
      "3120606762147355128190442612063836/817059474652303"
    ],
    [
      "-625180040188830786954/2011612201",
      "277834837112146508136542324489911/90222818827051"
    ],
    [
      "168077729877291891/11236",
      "67874275203417993108397891/1191016"
    ],
    [
      "3871102835777394813/1803649",
      "3286266454754986324267613642/2422300607"
    ],
    [
      "30028053341363809407/15665764",
      "49460088525381712725645658099/62005093912"
    ],
    [
      "36005790246380903837/20421361",
      "38370683683884866294779450644/92284130359"
    ],
    [
      "38232652143580369677/21613201",
      "43301150100203113370281116614/100479771449"
    ],
    [
      "49553431457339747628/11580409",
      "292428337639577422494496582282/39408131827"
    ],
    [
      "60216414583507701153/71351809",
      "822406471285930267473750623468/602708730623"
    ],
    [
      "95610520424204372349/47018449",
      "348492574010568966488885134508/322405504793"
    ],
    [
      "192070466073478011672/199346161",
      "3210121541961934883026909787299/2814568447159"
    ],
    [
      "273632795887019843767/191850201",
      "66872811359761797366019170566/2657317134051"
    ],
    [
      "7390766526912451926879/14922769",
      "635371750435323153302869397680274/57646656647"
    ],
    [
      "88566359032326448764498/39293943529",
      "12643896994352385963995301895398248/7789120543923083"
    ],
    [
      "11249564565565406478988557/6282898178041",
      "7658718573766409199671360873687778596/15748530369030407411"
    ],
    [
      "1067171200238375898959130777/755152653361681",
      "2544290409544977539321565969365665789586/20751625875637781708921"
    ],
    [
      "9911259344904226496121728637/5955480387154081",
      "41263657900978846025732319539002278995594/459594897166681434798479"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at T = 14/3 of the rank-17 fibration of X1008, y^2 + (Lx+B)y = x(x+D)(x+E), given in the commentary of curve #751 (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 19:19:45",
  "updated_at": "2026-09-29 19:19:45"
}