Elliptic curve data - 405600.bg2

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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': '405600bg', 'Clabel': '405600bg2', 'Cnumber': 2, 'abc_quality': 1.0059987658491611, 'absD': 14866692390225000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -29344033, 195347817937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 405600, 'degree': 74317824, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5142595571768281898258011241', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [-9045718037056, 48125390625], 'lmfdb_iso': '405600.bg', 'lmfdb_label': '405600.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6945, -708975], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '104.24.0.?', '120.12.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6751401618918830320608874316', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [3, 4, 135200], [5, 18, 16224], [13, 98, 2400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73391874166906432508144561525', 'prec': 103}, 'szpiro_ratio': 5.073841682800192, '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, -1, 0, 0, 0, -2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, -1, 0, -2, 2, 0, 2, 2, -8, -6, -2, 2, 2, 0, -6, 10, -14, -10, -2, -6, 2, 12, -6, 18, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 405600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '405600.bg', 'trace_hash': 2164080077684060275}
• 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': '0.00088624323418441951446473914876', 'prec': 113}, 'conductor': 405600, 'gens': [[7757, 659100, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6751401618918830320608874316', 'prec': 100}], 'lmfdb_label': '405600.bg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.060721509828964816649825221023', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1980335882936482039526733203440569250', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-7453, 0, 1]], 'xcoord_integral_points': [-7453, 7757]}
• lmfdb_label 405600.bg2 does not appear in ec_iwasawa
• lmfdb_label 405600.bg2 does not appear in ec_torsion_growth
• 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: 10028373
    {'conductor': 405600, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '405600.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10028374
    {'conductor': 405600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '405600.bg2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10028375
    {'conductor': 405600, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '405600.bg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10028376
    {'conductor': 405600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '405600.bg2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4176934
    {'adelic_gens': [[479, 310, 0, 1559], [781, 940, 1250, 321], [623, 0, 0, 1559], [521, 320, 730, 641], [1, 0, 8, 1], [5, 8, 48, 77], [3, 8, 10, 27], [389, 620, 975, 1559], [1553, 8, 1552, 9], [1, 8, 0, 1]], 'adelic_image': '1560.48.0.?', 'conductor': 405600, 'lmfdb_label': '405600.bg2', 'prime': 0}
  • id: 1375749
    {'conductor': 405600, 'elladic_image': '4.6.0.5', 'lmfdb_label': '405600.bg2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 405600.bg does not appear in ec_padic