Elliptic curve data - 194350.bb1

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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': '194350dq', 'Clabel': '194350dq1', 'Cnumber': 1, 'abc_quality': 0.8231289355611217, 'absD': 349222656250, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 40, 'ainvs': [1, -1, 0, -1442, -35034], 'analytic_rank': 1, 'bad_primes': [2, 5, 13, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 194350, 'degree': 276480, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91006863769746303005953811336', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1], 'jinv': [-125626761, 132250], 'lmfdb_iso': '194350.bb', 'lmfdb_label': '194350.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -58, -269], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['40.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2480537416387925756215673802', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [5, 18, 7774], [13, 38, 1150], [23, 24, 8450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32214187809650994658308946018', 'prec': 107}, 'szpiro_ratio': 2.8307952133223178, '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, -1, 0, 1, 0, 0, -3, -1, -3, 0, -1, 0, 0, 3, 0, 1, 8, 3, -3, 0], 'aplist': [-1, 0, 0, -3, -1, 0, 8, -3, -1, 6, 10, -7, -10, 6, -11, -9, -8, -6, 10, 0, 2, 10, -2, 1, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 194350, 'isogeny_matrix': [[1]], 'lmfdb_iso': '194350.bb', 'trace_hash': 1906381539222301628}
• 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': '0.16200351031151316090774743368', 'prec': 103}, 'conductor': 194350, 'gens': [[59, 258, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2480537416387925756215673802', 'prec': 100}], 'lmfdb_label': '194350.bb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37179754773258621297972867416', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7121865646382544307220361204101350881', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [59, 123]}
• lmfdb_label 194350.bb1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8547799
    {'degree': 3, 'field': [-26, 13, 0, 1], 'lmfdb_label': '194350.bb1', 'torsion': [2]}
  • id: 8547800
    {'degree': 6, 'field': [90, 0, 61, 0, 12, 0, 1], 'lmfdb_label': '194350.bb1', 'torsion': [2, 2]}
  • id: 8547801
    {'degree': 8, 'field': [10799500, -4789375, 722716, -45787, 2545, -91, -29, -4, 1], 'lmfdb_label': '194350.bb1', 'torsion': [3]}
  • id: 8547802
    {'degree': 12, 'field': [-286608114, -180353758, 1113879, 1363492, -3328793, 774358, 24089, -14144, 299, -286, -13, 0, 1], 'lmfdb_label': '194350.bb1', '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: 4813298
    {'conductor': 194350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '194350.bb1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4813299
    {'conductor': 194350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '194350.bb1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4813300
    {'conductor': 194350, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '194350.bb1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4813301
    {'conductor': 194350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '194350.bb1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• 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': [[21, 2, 21, 3], [1, 0, 2, 1], [17, 2, 17, 3], [31, 2, 31, 3], [1, 2, 0, 1], [1, 1, 39, 0], [39, 2, 38, 3]], 'adelic_image': '40.2.0.?', 'conductor': 194350, 'lmfdb_label': '194350.bb1', 'prime': 0}
• lmfdb_iso 194350.bb does not appear in ec_padic