Elliptic curve data - 6600.ba1

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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
  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
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6600r', 'Clabel': '6600r1', 'Cnumber': 1, 'abc_quality': 1.0349968376564973, 'absD': 129373200000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 132, 'ainvs': [0, 1, 0, 792, -546912], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 6600, 'degree': 14400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3867637784649077339764747702', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1], 'jinv': [137180, 323433], 'lmfdb_iso': '6600.ba', 'lmfdb_label': '6600.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 32, -4388], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['132.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.61297296682569801618876088960', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 825], [3, 4, 200], [5, 14, 88], [11, 12, 600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26381748029111360693839155317', 'prec': 107}, 'szpiro_ratio': 4.542239005687082, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0], 'aplist': [0, 1, 0, 1, -1, 0, 1, 1, -5, -6, -6, -9, -5, -4, -7, 4, 9, -12, -4, 15, 4, -11, 6, 8, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 6600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '6600.ba', 'trace_hash': 1208903037625359251}
• 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': '0.062441350367335579310623131335', 'prec': 107}, 'conductor': 6600, 'gens': [[108, 900, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.61297296682569801618876088960', 'prec': 103}], 'lmfdb_label': '6600.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27179334557257163943666682995', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9980592019730429697666492892144104003', 'prec': 130}, 'tamagawa_product': 30, 'torsion_generators': [], 'xcoord_integral_points': [108, 183, 1644]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6600.ba1'}
• ec_torsion_growth •

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

  
  
  • id: 345676
    {'degree': 3, 'field': [12, 12, -1, 1], 'lmfdb_label': '6600.ba1', 'torsion': [2]}
  • id: 345677
    {'degree': 6, 'field': [528, 0, -8, 0, 1, 0, 1], 'lmfdb_label': '6600.ba1', 'torsion': [2, 2]}
  • id: 345678
    {'degree': 8, 'field': [-48, 0, -16, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '6600.ba1', 'torsion': [3]}
  • id: 345679
    {'degree': 12, 'field': [864, -468, -1074, -840, 411, -306, -239, 100, -38, -4, 7, -2, 1], 'lmfdb_label': '6600.ba1', 'torsion': [4]}
• 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: 133726
    {'conductor': 6600, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6600.ba1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 133727
    {'conductor': 6600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '6600.ba1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 133728
    {'conductor': 6600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '6600.ba1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 133729
    {'conductor': 6600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6600.ba1', '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

  
  {'adelic_gens': [[89, 2, 89, 3], [1, 2, 0, 1], [67, 2, 67, 3], [1, 0, 2, 1], [131, 2, 130, 3], [13, 2, 13, 3], [1, 1, 131, 0]], 'adelic_image': '132.2.0.?', 'conductor': 6600, 'lmfdb_label': '6600.ba1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 262868
    {'lmfdb_iso': '6600.ba', 'p': 7, 'prec': 20, 'unit': 7973161049438885, 'val': -1}
  • id: 262873
    {'lmfdb_iso': '6600.ba', 'p': 17, 'prec': 20, 'unit': 827891686976609611662417, 'val': -1}
  • id: 262864
    {'lmfdb_iso': '6600.ba', 'p': 19, 'prec': 20, 'unit': 33829854293766946798101586, 'val': -1}
  • id: 262878
    {'lmfdb_iso': '6600.ba', 'p': 23, 'prec': 20, 'unit': 64501820132150565035572759, 'val': 1}
  • id: 262871
    {'lmfdb_iso': '6600.ba', 'p': 29, 'prec': 20, 'unit': 679122816650369737449513650, 'val': 1}
  • id: 262883
    {'lmfdb_iso': '6600.ba', 'p': 31, 'prec': 20, 'unit': 17864723561540728061739424432, 'val': 1}
  • id: 262867
    {'lmfdb_iso': '6600.ba', 'p': 37, 'prec': 20, 'unit': 275023598641588843796061767019, 'val': 1}
  • id: 262869
    {'lmfdb_iso': '6600.ba', 'p': 41, 'prec': 20, 'unit': 1729130353112902305824642167089, 'val': 1}
  • id: 262870
    {'lmfdb_iso': '6600.ba', 'p': 43, 'prec': 20, 'unit': 1338789216194162145368434641778, 'val': 1}
  • id: 262881
    {'lmfdb_iso': '6600.ba', 'p': 47, 'prec': 20, 'unit': 16830769015883628951647228602138, 'val': 1}
  • id: 262875
    {'lmfdb_iso': '6600.ba', 'p': 53, 'prec': 20, 'unit': 454261920488867240433997548667566, 'val': 1}
  • id: 262876
    {'lmfdb_iso': '6600.ba', 'p': 59, 'prec': 20, 'unit': 4172838596769366472862655508278454, 'val': 1}
  • id: 262882
    {'lmfdb_iso': '6600.ba', 'p': 61, 'prec': 20, 'unit': 6807945162887275039564536393806800, 'val': 1}
  • id: 262866
    {'lmfdb_iso': '6600.ba', 'p': 67, 'prec': 20, 'unit': 314627560001416452982967450731499, 'val': 2}
  • id: 262880
    {'lmfdb_iso': '6600.ba', 'p': 71, 'prec': 20, 'unit': 86728465397335198509513328174694154, 'val': 1}
  • id: 262877
    {'lmfdb_iso': '6600.ba', 'p': 73, 'prec': 20, 'unit': 177358628457353993350983616369545677, 'val': 1}
  • id: 262872
    {'lmfdb_iso': '6600.ba', 'p': 79, 'prec': 20, 'unit': 1068433904768368287091457970479935948, 'val': 1}
  • id: 262874
    {'lmfdb_iso': '6600.ba', 'p': 83, 'prec': 20, 'unit': 898981676151526597139545987354846215, 'val': 1}
  • id: 262879
    {'lmfdb_iso': '6600.ba', 'p': 89, 'prec': 20, 'unit': 4123543144258155150908317768296539457, 'val': 1}
  • id: 262865
    {'lmfdb_iso': '6600.ba', 'p': 97, 'prec': 20, 'unit': 16030684289430645653463041591924896527, 'val': 1}