Elliptic curve data - 293046.bq1

Formats: - HTML - YAML - JSON - 2025-10-24T08:09:26.562467

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

  
  {'Ciso': '293046bq', 'Clabel': '293046bq1', 'Cnumber': 1, 'abc_quality': 1.0928123594733723, 'absD': 78902085805201469379527442432, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 312, 'ainvs': [1, 1, 1, -3623596688, 85036443297905], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 293046, 'degree': 449305920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3481153910678670006687543089', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1], 'jinv': [-3772118414306118217515625, 56562751486929272832], 'lmfdb_iso': '293046.bq', 'lmfdb_label': '293046.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -21441400, 38697462592], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['312.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 146523], [3, 4, 97682], [13, 98, 1734], [17, 66, 507], [19, 2, 97682]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5934384883277292859337548185', 'prec': 100}, 'szpiro_ratio': 6.17023033178754, '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, -1, 1, 0, -1, 4, 1, 1, 0, 0, -1, 0, 4, 0, 1, 0, 1, -3, 0], 'aplist': [1, -1, 0, 4, 0, 0, 0, -3, -4, -10, -10, -5, -7, 6, -9, -2, -6, -10, -3, 8, -8, -13, 6, 15, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 293046, 'isogeny_matrix': [[1]], 'lmfdb_iso': '293046.bq', 'trace_hash': 1769158012717001954}
• 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': '0.00016721489403308585222246892637', 'prec': 113}, 'conductor': 293046, 'gens': [], 'heights': [], 'lmfdb_label': '293046.bq1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.034403880856774032972875002119', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1697319491303171210777500720345518812', 'prec': 130}, 'tamagawa_product': 34, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 293046.bq1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12438056
    {'degree': 3, 'field': [-374, -51, 0, 1], 'lmfdb_label': '293046.bq1', 'torsion': [2]}
  • id: 12438057
    {'degree': 6, 'field': [78, 0, 1693, 0, -8, 0, 1], 'lmfdb_label': '293046.bq1', 'torsion': [2, 2]}
  • id: 12438058
    {'degree': 8, 'field': [-14908, 2500, -2914, 827, -410, -7, 7, -4, 1], 'lmfdb_label': '293046.bq1', 'torsion': [3]}
  • id: 12438059
    {'degree': 12, 'field': [-253281912, 0, -52494538, 0, -2092071, 0, -321368, 0, -12478, 0, -102, 0, 1], 'lmfdb_label': '293046.bq1', '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: 7263824
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 17, 'j_denominator_valuation': 17, 'kodaira_symbol': 21, 'lmfdb_label': '293046.bq1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 17}
  • id: 7263825
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 19, 'j_denominator_valuation': 19, 'kodaira_symbol': 23, 'lmfdb_label': '293046.bq1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7263826
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '293046.bq1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7263827
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '293046.bq1', 'prime': 17, '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

  
  {'adelic_gens': [[145, 2, 145, 3], [311, 2, 310, 3], [1, 1, 311, 0], [79, 2, 0, 1], [209, 2, 209, 3], [1, 0, 2, 1], [1, 2, 0, 1], [157, 2, 157, 3]], 'adelic_image': '312.2.0.?', 'conductor': 293046, 'lmfdb_label': '293046.bq1', 'prime': 0}
• lmfdb_iso 293046.bq does not appear in ec_padic