Elliptic curve data - 41650.c2

Formats: - HTML - YAML - JSON - 2024-04-29T07:02:44.461151

• 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': '41650o', 'Clabel': '41650o1', 'Cnumber': 1, 'abc_quality': 0.9817093552555903, 'absD': 25088413952000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [1, 0, 1, -73526, -906552], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 41650, 'degree': 430080, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8365459075531369864615629620', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [23912763841, 13647872], 'lmfdb_iso': '41650.c', 'lmfdb_label': '41650.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -60, 16], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '34.6.0.a.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.058871876808430146608506923665', 'prec': 107}, 'szpiro_ratio': 4.252094171597403, '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, -1, -2, 1, 0, 2, 0, -1, 1, 0, -6, -2, -2, 0, 0, 1, -1, -1, 0, 0], 'aplist': [-1, -2, 0, 0, -6, -2, -1, 0, 4, 8, 0, -4, 2, 8, -8, 6, 4, 8, 16, 4, 10, -12, 12, -10, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 41650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '41650.c', 'trace_hash': 775965271382160542}
• 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': '0.025397823055519303581372610703', 'prec': 107}, 'conductor': 41650, 'gens': [], 'heights': [], 'lmfdb_label': '41650.c2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31381874723218078486319446772', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.62763749446436156972638893543769305500', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[277, -139, 1]], 'xcoord_integral_points': [277]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '5': 'a', '7': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '41650.c2'}
• ec_torsion_growth •

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

  
  
  • id: 2047390
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '41650.c2', 'torsion': [2, 2]}
  • id: 2047391
    {'degree': 4, 'field': [1271, 18, -87, -2, 1], 'lmfdb_label': '41650.c2', 'torsion': [4]}
  • id: 2047392
    {'degree': 8, 'field': [-10916, -29360, -17970, 3636, 2859, 10, -99, -2, 1], 'lmfdb_label': '41650.c2', 'torsion': [2, 4]}
  • id: 2047394
    {'degree': 8, 'field': [-2364, 6549, -7038, 2383, 193, -11, -17, -2, 1], 'lmfdb_label': '41650.c2', 'torsion': [6]}
  • id: 2047393
    {'degree': 8, 'field': [234956, 156452, 113275, 5602, 5894, -72, 120, -2, 1], 'lmfdb_label': '41650.c2', 'torsion': [2, 4]}
  • id: 2047396
    {'degree': 16, 'field': [12348196, 0, -618730105, 0, -85537046, 0, 1880361, 0, 183771, 0, -21483, 0, 163, 0, -34, 0, 1], 'lmfdb_label': '41650.c2', 'torsion': [2, 6]}
  • id: 2047395
    {'degree': 16, 'field': [1897560721, 0, -372607760, 0, -17582768, 0, -1032248, 0, 844974, 0, 16272, 0, -1536, 0, -72, 0, 1], 'lmfdb_label': '41650.c2', '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: 988326
    {'conductor': 41650, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '41650.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 988327
    {'conductor': 41650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '41650.c2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 988328
    {'conductor': 41650, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '41650.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 988329
    {'conductor': 41650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41650.c2', '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

  
  
  • id: 1942060
    {'adelic_gens': [[133, 4, 132, 5], [1, 4, 0, 1], [74, 1, 31, 0], [1, 0, 4, 1], [69, 4, 2, 9], [3, 4, 8, 11], [121, 18, 16, 119], [1, 2, 2, 5]], 'adelic_image': '136.12.0.?', 'conductor': 41650, 'lmfdb_label': '41650.c2', 'prime': 0}
  • id: 182325
    {'conductor': 41650, 'elladic_image': '8.6.0.1', 'lmfdb_label': '41650.c2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 41650.c does not appear in ec_padic