Elliptic curve data - 126960.j1

Formats: - HTML - YAML - JSON - 2024-05-29T20:12:40.141237

• 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': '126960d', 'Clabel': '126960d2', 'Cnumber': 2, 'abc_quality': 0.869007999895154, 'absD': 3458213110008960000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, -1, 0, -677296, 195223120], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 126960, 'degree': 1978368, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2934242550993455369458268083', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [18629852, 1875], 'lmfdb_iso': '126960.j', 'lmfdb_label': '126960.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1280, 15600], 'min_quad_twist_disc': 92, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.f.1', '92.6.0.?', '138.6.0.?', '276.12.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63581905731413782234026458344', 'prec': 107}, 'szpiro_ratio': 4.415660399950415, '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, -1, 0, -1, 0, -2, 0, 1, 0, 4, 0, 2, 0, 1, 0, -2, 0, 6, 0], 'aplist': [0, -1, -1, -2, 4, 2, -2, 6, 0, 2, 0, 4, 2, 2, -12, -10, -12, -8, -2, -12, -2, -10, -4, -14, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 126960, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '126960.j', 'trace_hash': 357039256581677019}
• 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': '0.010184905474519774806993858760', 'prec': 107}, 'conductor': 126960, 'gens': [], 'heights': [], 'lmfdb_label': '126960.j1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24322285870924676104986034045', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.97289143483698704419944136180567939349', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[353, 0, 1]], 'xcoord_integral_points': [353]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '23': 'a'}, 'iwp0': 3, 'lmfdb_label': '126960.j1'}
• ec_torsion_growth •

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

  
  
  • id: 5777202
    {'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '126960.j1', 'torsion': [2, 2]}
  • id: 5777203
    {'degree': 4, 'field': [8, 10, 9, -1, 1], 'lmfdb_label': '126960.j1', 'torsion': [4]}
  • id: 5777206
    {'degree': 8, 'field': [-25425, -269226, 49014, -9408, 1020, -642, 4, -4, 1], 'lmfdb_label': '126960.j1', 'torsion': [6]}
  • id: 5777204
    {'degree': 8, 'field': [9, 63, 159, 84, -8, -12, 7, -3, 1], 'lmfdb_label': '126960.j1', 'torsion': [2, 4]}
  • id: 5777205
    {'degree': 8, 'field': [1089, 0, -9144, 0, -750, 0, -24, 0, 1], 'lmfdb_label': '126960.j1', 'torsion': [2, 4]}
  • id: 5777207
    {'degree': 16, 'field': [10458936, 2539296, -1499484, -2246616, 1542658, -506844, 170554, 6202, -8037, -534, 5356, -3378, 1018, -238, 54, -8, 1], 'lmfdb_label': '126960.j1', 'torsion': [8]}
  • id: 5777208
    {'degree': 16, 'field': [9653652009, 0, -4064454936, 0, 394919100, 0, -75121128, 0, -2832570, 0, -134688, 0, -2088, 0, 0, 0, 1], 'lmfdb_label': '126960.j1', '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: 3127706
    {'conductor': 126960, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '126960.j1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3127707
    {'conductor': 126960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '126960.j1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3127708
    {'conductor': 126960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '126960.j1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3127709
    {'conductor': 126960, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '126960.j1', 'prime': 23, '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: 2491450
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [112, 1, 179, 0], [1, 2, 2, 5], [1, 4, 0, 1], [94, 1, 91, 0], [273, 4, 272, 5], [209, 70, 68, 207]], 'adelic_image': '276.12.0.?', 'conductor': 126960, 'lmfdb_label': '126960.j1', 'prime': 0}
  • id: 495474
    {'conductor': 126960, 'elladic_image': '2.3.0.1', 'lmfdb_label': '126960.j1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 126960.j does not appear in ec_padic