Elliptic curve data - 11466.h2

Formats: - HTML - YAML - JSON - 2025-10-16T07:56:22.648278

• 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': '11466ba', 'Clabel': '11466ba2', 'Cnumber': 2, 'abc_quality': 1.2004354498689798, 'absD': 130972743529553016, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2184, 'ainvs': [1, -1, 0, -333153, -75951275], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 11466, 'degree': 138240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0602671588093947043267380176', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [-16354376146655191, 523792501128], 'lmfdb_iso': '11466.h', 'lmfdb_label': '11466.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -37017, 2800671], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '312.6.0.?', '1092.6.0.?', '2184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 6, 637], [7, 20, 234], [13, 14, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0244834772115115323527772133', 'prec': 100}, 'szpiro_ratio': 5.329601905412409, '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, 0, 1, -2, 0, 0, -1, 0, 2, -4, 0, 1, 0, 0, 1, -2, 0, -4, -2], 'aplist': [-1, 0, -2, 0, -4, 1, -2, -4, -4, 0, 4, 4, 0, 8, 6, -4, -8, -14, -14, -16, -10, -8, -4, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 11466, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '11466.h', 'trace_hash': 766886400683416377}
• 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': '0.016235837030128317516410886915', 'prec': 107}, 'conductor': 11466, 'gens': [], 'heights': [], 'lmfdb_label': '11466.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.099172308195146111316675925878', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.39668923278058444526670370351256845020', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[2675, -2675, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '7': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '11466.h2'}
• ec_torsion_growth •

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

  
  
  • id: 592942
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '11466.h2', 'torsion': [2, 2]}
  • id: 592943
    {'degree': 4, 'field': [-504, 0, 21, 0, 1], 'lmfdb_label': '11466.h2', 'torsion': [4]}
  • id: 592946
    {'degree': 8, 'field': [-608, -968, -488, -136, -43, -10, -5, -2, 1], 'lmfdb_label': '11466.h2', 'torsion': [6]}
  • id: 592945
    {'degree': 8, 'field': [2601, 0, 4134, 0, 1090, 0, -26, 0, 1], 'lmfdb_label': '11466.h2', 'torsion': [2, 4]}
  • id: 592944
    {'degree': 8, 'field': [57135, -14172, 14626, -856, 299, 152, -46, -4, 1], 'lmfdb_label': '11466.h2', 'torsion': [2, 4]}
  • id: 592947
    {'degree': 16, 'field': [15618304, 0, -245198720, 0, 77685712, 0, -9923888, 0, 343708, 0, 29800, 0, -2438, 0, 4, 0, 1], 'lmfdb_label': '11466.h2', 'torsion': [8]}
  • id: 592948
    {'degree': 16, 'field': [44302336, 0, 36597248, 0, 16302400, 0, 4488928, 0, 708896, 0, 63640, 0, 3208, 0, 86, 0, 1], 'lmfdb_label': '11466.h2', 'torsion': [2, 6]}
• 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: 245963
    {'conductor': 11466, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11466.h2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 245964
    {'conductor': 11466, 'conductor_valuation': 2, 'discriminant_valuation': 24, 'j_denominator_valuation': 18, 'kodaira_symbol': -22, 'lmfdb_label': '11466.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 245965
    {'conductor': 11466, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '11466.h2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 245966
    {'conductor': 11466, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11466.h2', 'prime': 13, '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

  
  
  • id: 1739989
    {'adelic_gens': [[1, 0, 4, 1], [2017, 4, 1850, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2181, 4, 2180, 5], [1457, 4, 730, 9], [628, 1, 935, 0], [2, 1, 1091, 0], [1913, 274, 272, 1911]], 'adelic_image': '2184.12.0.?', 'conductor': 11466, 'lmfdb_label': '11466.h2', 'prime': 0}
  • id: 54954
    {'conductor': 11466, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11466.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11466.h does not appear in ec_padic