Elliptic curve data - 202300.bd2

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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': '202300r', 'Clabel': '202300r2', 'Cnumber': 2, 'abc_quality': 1.2007386141796184, 'absD': 28977151584500000000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 560, 'ainvs': [0, 0, 0, -397375, -276356250], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 202300, 'degree': 3548160, 'elladic_images': ['16.24.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4195738497168420809355748748', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2], 'jinv': [-574992, 2401], 'lmfdb_iso': '202300.bd', 'lmfdb_label': '202300.bd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -55, -450], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.s.1', '16.24.0.l.1', '20.12.0.l.1', '40.24.0.cu.1', '56.24.0.ds.1', '80.48.0.?', '112.48.1.?', '280.48.1.?', '560.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1445], [5, 14, 8092], [7, 8, 28900], [17, 146, 700]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66620937701013811308458334836', 'prec': 107}, 'szpiro_ratio': 4.288726672533905, '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, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 0, 1, 0, -4, 0, 4, 8, -2, 8, -8, -6, -8, -8, 0, -4, 6, -8, -12, -4, 4, 0, -10, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 202300, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '202300.bd', 'trace_hash': 1509166957859620742}
• 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': '0.0079137961109618839999923458558', 'prec': 110}, 'conductor': 202300, 'gens': [], 'heights': [], 'lmfdb_label': '202300.bd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.086583023619412979266948477708', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0389962834329557512033817324958500276', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[850, 0, 1]], 'xcoord_integral_points': [850]}
• lmfdb_label 202300.bd2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8861181
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '202300.bd2', 'torsion': [2, 2]}
  • id: 8861182
    {'degree': 4, 'field': [-1445, 0, 0, 0, 1], 'lmfdb_label': '202300.bd2', 'torsion': [4]}
  • id: 8861185
    {'degree': 8, 'field': [32326, -84869, 30094, -1553, 1039, -251, 1, -2, 1], 'lmfdb_label': '202300.bd2', 'torsion': [6]}
  • id: 8861184
    {'degree': 8, 'field': [130321, 722, 2, -1450, 731, -10, 8, -4, 1], 'lmfdb_label': '202300.bd2', 'torsion': [2, 4]}
  • id: 8861183
    {'degree': 8, 'field': [157796, -77712, 20656, -3016, 1164, -168, 4, -4, 1], 'lmfdb_label': '202300.bd2', 'torsion': [2, 4]}
  • id: 8861188
    {'degree': 16, 'field': [8036158776, -5037582300, 3947317437, -1149999234, 367220268, -322145376, 142502025, -18632070, 1293901, -1020604, 217585, -9562, 2545, -640, 28, -4, 1], 'lmfdb_label': '202300.bd2', 'torsion': [2, 6]}
  • id: 8861186
    {'degree': 16, 'field': [16238659761, 1289091996, 51166728, -434284452, 228044398, -10913712, 4222296, -3254876, 916303, -67888, 23144, -8764, 1558, -76, 32, -8, 1], 'lmfdb_label': '202300.bd2', 'torsion': [4, 4]}
  • id: 8861187
    {'degree': 16, 'field': [3341002721281, 0, -95645234688, 0, -13612284950, 0, 153487332, 0, 14208859, 0, -10092, 0, -6770, 0, -12, 0, 1], 'lmfdb_label': '202300.bd2', 'torsion': [8]}
• 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: 5007779
    {'conductor': 202300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '202300.bd2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5007780
    {'conductor': 202300, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '202300.bd2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5007781
    {'conductor': 202300, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '202300.bd2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5007782
    {'conductor': 202300, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '202300.bd2', 'prime': 17, 'reduction_type': 0, '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

  
  
  • id: 2959229
    {'adelic_gens': [[4, 495, 127, 544], [1, 0, 8, 1], [553, 8, 552, 9], [503, 506, 234, 175], [7, 8, 48, 55], [241, 16, 404, 65], [352, 5, 387, 16], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '560.96.3.?', 'conductor': 202300, 'lmfdb_label': '202300.bd2', 'prime': 0}
  • id: 748938
    {'conductor': 202300, 'elladic_image': '16.24.0.32', 'lmfdb_label': '202300.bd2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 202300.bd does not appear in ec_padic