Elliptic curve data - 6336.f2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6336bu', 'Clabel': '6336bu1', 'Cnumber': 1, 'abc_quality': 1.136673290939488, 'absD': 56757583872, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, -972, -2160], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6336, 'degree': 6144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75376275119958046471023060028', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [19683, 11], 'lmfdb_iso': '6336.f', 'lmfdb_label': '6336.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2, 0], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '44.6.0.e.1', '66.6.0.a.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7942162212227263930013409394', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 33], [3, 2, 704], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1099172361414197679620515096', 'prec': 103}, 'szpiro_ratio': 3.6842197439419135, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, -4, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, -2, 0, -6, 0], 'aplist': [0, 0, -4, 2, 1, 2, -2, -6, 4, -6, -4, 6, 10, 6, -8, 0, -4, 6, 8, 0, -2, 10, -12, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 6336, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6336.f', 'trace_hash': 626713850409164399}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.22145729605922723126340930165', 'prec': 103}, 'conductor': 6336, 'gens': [[-3, 27, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7942162212227263930013409394', 'prec': 100}], 'lmfdb_label': '6336.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.91824285034094661911983356417', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2950524342070374449512465847613171258', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-30, 0, 1]], 'xcoord_integral_points': [-30, -3, 34]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6336.f2'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 330701
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '6336.f2', 'torsion': [2, 2]}
  • id: 330702
    {'degree': 4, 'field': [33, 0, 12, 0, 1], 'lmfdb_label': '6336.f2', 'torsion': [4]}
  • id: 330705
    {'degree': 8, 'field': [-48, 0, -152, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '6336.f2', 'torsion': [6]}
  • id: 330704
    {'degree': 8, 'field': [36, 0, 252, 0, 165, 0, 24, 0, 1], 'lmfdb_label': '6336.f2', 'torsion': [2, 4]}
  • id: 330703
    {'degree': 8, 'field': [576, 0, -2088, 0, -408, 0, -12, 0, 1], 'lmfdb_label': '6336.f2', 'torsion': [2, 4]}
  • id: 330706
    {'degree': 16, 'field': [1, -28, 342, -2064, 6608, -10200, 11492, -9376, 6819, -4460, 2540, -1068, 416, -144, 42, -8, 1], 'lmfdb_label': '6336.f2', 'torsion': [8]}
  • id: 330707
    {'degree': 16, 'field': [256, 0, 1664, 0, -6656, 0, 7136, 0, -2384, 0, -232, 0, 160, 0, 26, 0, 1], 'lmfdb_label': '6336.f2', 'torsion': [2, 6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 127008
    {'conductor': 6336, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '6336.f2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 127009
    {'conductor': 6336, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6336.f2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 127010
    {'conductor': 6336, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6336.f2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1705573
    {'adelic_gens': [[1, 2, 2, 5], [92, 1, 43, 0], [37, 100, 32, 99], [3, 4, 8, 11], [26, 1, 119, 0], [1, 4, 0, 1], [129, 4, 128, 5], [1, 0, 4, 1]], 'adelic_image': '132.12.0.?', 'conductor': 6336, 'lmfdb_label': '6336.f2', 'prime': 0}
  • id: 31205
    {'conductor': 6336, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6336.f2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 248463
    {'lmfdb_iso': '6336.f', 'p': 5, 'prec': 20, 'unit': 75788629593734, 'val': -1}
  • id: 248464
    {'lmfdb_iso': '6336.f', 'p': 7, 'prec': 20, 'unit': 9765139203401514, 'val': 1}
  • id: 248469
    {'lmfdb_iso': '6336.f', 'p': 13, 'prec': 20, 'unit': 474133327994832435010, 'val': 1}
  • id: 248471
    {'lmfdb_iso': '6336.f', 'p': 17, 'prec': 20, 'unit': 52511000150305063375480, 'val': 1}
  • id: 248472
    {'lmfdb_iso': '6336.f', 'p': 19, 'prec': 20, 'unit': 1889830894413575229466979, 'val': 1}
  • id: 248475
    {'lmfdb_iso': '6336.f', 'p': 23, 'prec': 20, 'unit': 32952451195542589626271789, 'val': 1}
  • id: 248468
    {'lmfdb_iso': '6336.f', 'p': 29, 'prec': 20, 'unit': 66031997129541911249651393, 'val': 2}
  • id: 248465
    {'lmfdb_iso': '6336.f', 'p': 31, 'prec': 20, 'unit': 73720267764167045284573667, 'val': 2}
  • id: 248478
    {'lmfdb_iso': '6336.f', 'p': 37, 'prec': 20, 'unit': 298595598682137696323949926005, 'val': 1}
  • id: 248466
    {'lmfdb_iso': '6336.f', 'p': 41, 'prec': 20, 'unit': 3994946132567862021157474587712, 'val': 1}
  • id: 248467
    {'lmfdb_iso': '6336.f', 'p': 43, 'prec': 20, 'unit': 6513503515909382639953659631199, 'val': 1}
  • id: 248476
    {'lmfdb_iso': '6336.f', 'p': 47, 'prec': 20, 'unit': 43947637780135868336341006540904, 'val': 1}
  • id: 248473
    {'lmfdb_iso': '6336.f', 'p': 59, 'prec': 20, 'unit': 1709502203743302003627332560487683, 'val': 1}
  • id: 248477
    {'lmfdb_iso': '6336.f', 'p': 61, 'prec': 20, 'unit': 2070798102325270396189960572465636, 'val': 1}
  • id: 248462
    {'lmfdb_iso': '6336.f', 'p': 67, 'prec': 20, 'unit': 3340197763783590766434801789528954, 'val': 1}
  • id: 248474
    {'lmfdb_iso': '6336.f', 'p': 73, 'prec': 20, 'unit': 233299676440504662985102030820407510, 'val': 1}
  • id: 248470
    {'lmfdb_iso': '6336.f', 'p': 79, 'prec': 20, 'unit': 561695293750328366286410061332035516, 'val': 1}
  • id: 248461
    {'lmfdb_iso': '6336.f', 'p': 83, 'prec': 20, 'unit': 1009905310816843717012986174658910614, 'val': 1}
  • id: 248460
    {'lmfdb_iso': '6336.f', 'p': 97, 'prec': 20, 'unit': 3131573006189859586455863562532968169, 'val': 1}