Elliptic curve data - 147.b1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '147c', 'Clabel': '147c2', 'Cnumber': 2, 'absD': 78121827, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 546, 'ainvs': [0, -1, 1, -912, 10919], 'analytic_rank': 0, 'bad_primes': [3, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 147, 'degree': 78, 'elladic_images': ['13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43738716231171606600175856885', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 1, 'isogeny_degrees': [1, 13], 'jinv': [-1713910976512, 1594323], 'lmfdb_iso': '147.b', 'lmfdb_label': '147.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -912, 10919], 'min_quad_twist_disc': 1, 'modell_images': ['13B.4.2'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.2', '78.56.1.?', '91.168.2.?', '546.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11306880413583051515086644494', 'prec': 103}, '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, 2, -1, 2, 2, -2, 0, 0, 1, 4, -2, -2, -1, 0, -2, -4, 0, 2, -1, 4], 'aplist': [2, -1, 2, 0, -2, -1, 0, -1, 0, 4, -9, 3, 10, 5, 6, 12, 12, -10, -5, -6, 3, -1, -6, -16, 6], 'class_deg': 13, 'class_size': 2, 'conductor': 147, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '147.b', 'trace_hash': 1488494258555022664}
• 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': '0.41695610578783595588572306773', 'prec': 103}, 'conductor': 147, 'gens': [], 'heights': [], 'lmfdb_label': '147.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.9200537453490419433285021703', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9200537453490419433285021702840752175', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 1, 0], '3': [0, 0], '5': [0, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '147.b1'}
• ec_torsion_growth •

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

  
  
  • id: 5744
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '147.b1', 'torsion': [2]}
  • id: 5745
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '147.b1', 'torsion': [2, 2]}
  • id: 5746
    {'degree': 8, 'field': [1, -4, 4, -3, -3, -3, 4, -4, 1], 'lmfdb_label': '147.b1', 'torsion': [3]}
  • id: 5748
    {'degree': 12, 'field': [-909, -807, 4538, 7175, -25, -5123, -2157, 688, 495, -14, -38, -1, 1], 'lmfdb_label': '147.b1', 'torsion': [13]}
  • id: 5747
    {'degree': 12, 'field': [-69, 202, -232, 108, -141, 212, -140, 4, -25, -18, 12, -4, 1], 'lmfdb_label': '147.b1', '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: 1077
    {'conductor': 147, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '147.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1078
    {'conductor': 147, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '147.b1', 'prime': 7, 'reduction_type': 0, '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: 1666359
    {'adelic_gens': [[485, 26, 156, 101], [15, 26, 130, 287], [14, 23, 325, 339], [1, 0, 26, 1], [365, 26, 377, 339], [1, 26, 0, 1], [521, 26, 520, 27]], 'adelic_image': '546.336.9.?', 'conductor': 147, 'lmfdb_label': '147.b1', 'prime': 0}
  • id: 551
    {'conductor': 147, 'elladic_image': '13.28.0.2', 'lmfdb_label': '147.b1', 'modell_image': '13B.4.2', 'prime': 13}
• lmfdb_iso 147.b does not appear in ec_padic