Elliptic curve data - 224400.bb1

Formats: - HTML - YAML - JSON - 2024-05-03T02:29:38.931646

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '224400hs', 'Clabel': '224400hs1', 'Cnumber': 1, 'abc_quality': 0.8404563420015971, 'absD': 37867500000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 374, 'ainvs': [0, -1, 0, -55833, -5067963], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 224400, 'degree': 1036800, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4936681483525868764480826357', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1], 'jinv': [-7699532800, 15147], 'lmfdb_iso': '224400.bb', 'lmfdb_label': '224400.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2233, 41437], 'min_quad_twist_disc': -20, 'modell_images': [], 'modm_images': ['374.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '20.893785538883028308495132345', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30962823238246030866403822296', 'prec': 107}, 'szpiro_ratio': 3.6041479849733653, '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, -3, 0, 1, 0, 1, 0, 6, 0, 0, 0, 1, 0, 4, 0], 'aplist': [0, -1, 0, -3, 1, 6, 1, 4, -4, 2, -6, -4, 11, -8, 8, 11, 12, 7, 11, 6, 9, 5, -16, -6, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 224400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '224400.bb', 'trace_hash': 1700642514172076051}
• 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': '0.050421566095598439967442050996', 'prec': 107}, 'conductor': 224400, 'gens': [[2476661829, 62327684063331, 2818]], 'heights': [{'__RealLiteral__': 0, 'data': '20.893785538883028308495132345', 'prec': 100}], 'lmfdb_label': '224400.bb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15527265222927132640117561668', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4884669914639256945850541715644697645', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 224400.bb1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9759475
    {'degree': 3, 'field': [-43, -23, -1, 1], 'lmfdb_label': '224400.bb1', 'torsion': [2]}
  • id: 9759476
    {'degree': 6, 'field': [187, 561, 608, 281, 46, -1, 1], 'lmfdb_label': '224400.bb1', 'torsion': [2, 2]}
  • id: 9759477
    {'degree': 8, 'field': [-151875, 0, -1557000, 0, -1350, 0, 0, 0, 1], 'lmfdb_label': '224400.bb1', 'torsion': [3]}
  • id: 9759478
    {'degree': 12, 'field': [-6413319, 3909774, 2639696, -1236230, -547605, 141084, 46176, -3356, -845, 30, 16, -6, 1], 'lmfdb_label': '224400.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: 5567542
    {'conductor': 224400, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '224400.bb1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5567543
    {'conductor': 224400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '224400.bb1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5567544
    {'conductor': 224400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '224400.bb1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5567545
    {'conductor': 224400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '224400.bb1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5567546
    {'conductor': 224400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '224400.bb1', 'prime': 17, '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': [[373, 2, 372, 3], [1, 1, 373, 0], [35, 2, 35, 3], [1, 0, 2, 1], [1, 2, 0, 1], [309, 2, 309, 3]], 'adelic_image': '374.2.0.?', 'conductor': 224400, 'lmfdb_label': '224400.bb1', 'prime': 0}
• lmfdb_iso 224400.bb does not appear in ec_padic