Elliptic curve data - 32370.bj2

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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': '32370bg', 'Clabel': '32370bg1', 'Cnumber': 1, 'abc_quality': 0.9746792959555427, 'absD': 6605854145280000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 75530, 'ainvs': [1, 0, 0, -286625, 137015625], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 83], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 32370, 'degree': 812224, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2990032323977967600151253183', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1, 7], 'jinv': [-2604150083359733274001, 6605854145280000000], 'lmfdb_iso': '32370.bj', 'lmfdb_label': '32370.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -286625, 137015625], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '10790.2.0.?', '75530.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 5395], [3, 4, 10790], [5, 6, 6474], [7, 2, 1079], [13, 14, 2490], [83, 84, 390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2990032323977967600151253183', 'prec': 100}, 'szpiro_ratio': 4.910425358542148, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
• 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -1, 1, 1, 1, 4, 1, -1, 1], 'aplist': [1, 1, 1, 1, -2, -1, 4, -1, -4, 9, -10, 10, 0, 9, 6, -9, 4, 13, -2, 9, 4, 10, -1, -1, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 32370, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '32370.bj', 'trace_hash': 890056896679949694}
• 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': '0.010071894420254352451431375022', 'prec': 107}, 'conductor': 32370, 'gens': [], 'heights': [], 'lmfdb_label': '32370.bj2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20974814694555251549729921340', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8729481144754704339243779751813769716', 'prec': 130}, 'tamagawa_product': 1372, 'torsion_generators': [[250, 8875, 1]], 'xcoord_integral_points': [-470, 250, 1150]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [1, 0], '7': [4, 0], '13': [0, 0], '83': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '32370.bj2'}
• ec_torsion_growth •

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

  
  
  • id: 1610047
    {'degree': 3, 'field': [12, 5, -1, 1], 'lmfdb_label': '32370.bj2', 'torsion': [14]}
  • id: 1610048
    {'degree': 6, 'field': [5395, 0, 196, 0, 28, 0, 1], 'lmfdb_label': '32370.bj2', 'torsion': [2, 14]}
  • id: 1610049
    {'degree': 8, 'field': [-424128, 0, 42992, 0, -2256, 0, 0, 0, 1], 'lmfdb_label': '32370.bj2', 'torsion': [21]}
  • id: 1610050
    {'degree': 12, 'field': [12960000, 28316000, 8730525, -17071200, -707065, -216140, 131921, -13584, -1603, 712, -13, -4, 1], 'lmfdb_label': '32370.bj2', 'torsion': [28]}
• 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: 756413
    {'conductor': 32370, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '32370.bj2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 756414
    {'conductor': 32370, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '32370.bj2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 756415
    {'conductor': 32370, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '32370.bj2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 756416
    {'conductor': 32370, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32370.bj2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 756417
    {'conductor': 32370, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32370.bj2', 'prime': 83, '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: 1880122
    {'adelic_gens': [[22758, 7, 27293, 75524], [1, 14, 0, 1], [45326, 7, 45311, 75524], [29058, 7, 40663, 75524], [1, 0, 14, 1], [1, 14, 0, 32371], [8, 5, 91, 57], [75517, 14, 75516, 15]], 'adelic_image': '75530.96.2.?', 'conductor': 32370, 'lmfdb_label': '32370.bj2', 'prime': 0}
  • id: 144371
    {'conductor': 32370, 'elladic_image': '7.48.0.1', 'lmfdb_label': '32370.bj2', 'modell_image': '7B.1.1', 'prime': 7}
• lmfdb_iso 32370.bj does not appear in ec_padic