Elliptic curve data - 16320.cl2

Formats: - HTML - YAML - JSON - 2024-06-07T07:16:08.754840

• 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': '16320bn', 'Clabel': '16320bn2', 'Cnumber': 2, 'abc_quality': 0.9622011140956451, 'absD': 245461155840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 136, 'ainvs': [0, 1, 0, -26945, -1535457], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16320, 'degree': 73728, 'elladic_images': ['8.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4936800942707950099213284315', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 63, 'isogeny_degrees': [1, 2], 'jinv': [8253429989329, 936360000], 'lmfdb_iso': '16320.cl', 'lmfdb_label': '16320.cl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -421, -3157], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.b.1.1', '68.24.0-68.b.1.3', '136.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45395932343087704579548024931', 'prec': 103}, 'szpiro_ratio': 4.352336191714197, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -4, 0, 1, 0, 4, 0, 2, 0, 1, 0, 1, 0, 4, 0], 'aplist': [0, 1, 1, -4, 4, 2, 1, 4, -4, -2, 4, 6, 2, 12, 8, 2, -12, -2, -4, -4, -14, -12, 4, 10, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 16320, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '16320.cl', 'trace_hash': 1065108421793274112}
• 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': '0.050420361446180132661560950949', 'prec': 107}, 'conductor': 16320, 'gens': [], 'heights': [], 'lmfdb_label': '16320.cl2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.37538211447490070461327975566', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0030569157992056369062380452570862406', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-69, 0, 1], [187, 0, 1]], 'xcoord_integral_points': [-119, -69, 187]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '16320.cl2'}
• ec_torsion_growth •

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

  
  
  • id: 836098
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 4]}
  • id: 836100
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 4]}
  • id: 836099
    {'degree': 4, 'field': [38, 4, -3, -2, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 4]}
  • id: 836103
    {'degree': 8, 'field': [-768, 0, -712, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 6]}
  • id: 836102
    {'degree': 8, 'field': [16, 0, 32, 0, -282, 0, 8, 0, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 8]}
  • id: 836101
    {'degree': 8, 'field': [256, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '16320.cl2', 'torsion': [4, 4]}
  • id: 836105
    {'degree': 16, 'field': [1156, 0, -4496, 0, 7556, 0, -6816, 0, 3509, 0, -1044, 0, 188, 0, -20, 0, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 8]}
  • id: 836104
    {'degree': 16, 'field': [7396, 0, 158044, 0, -397507, 0, 157146, 0, 115583, 0, 22992, 0, 2087, 0, 82, 0, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 8]}
  • id: 836106
    {'degree': 16, 'field': [2233410, -7980420, 4844565, 6451364, -3550180, 46662, 536215, -431792, 51477, 45450, -16845, 4152, -601, -70, 30, -8, 1], 'lmfdb_label': '16320.cl2', 'torsion': [2, 12]}
• 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: 361985
    {'conductor': 16320, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '16320.cl2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 361986
    {'conductor': 16320, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '16320.cl2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 361987
    {'conductor': 16320, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '16320.cl2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 361988
    {'conductor': 16320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '16320.cl2', 'prime': 17, '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: 1772581
    {'adelic_gens': [[105, 2, 0, 1], [133, 4, 132, 5], [103, 4, 70, 9], [1, 4, 0, 1], [65, 134, 2, 1], [1, 0, 4, 1]], 'adelic_image': '136.48.0.?', 'conductor': 16320, 'lmfdb_label': '16320.cl2', 'prime': 0}
  • id: 76601
    {'conductor': 16320, 'elladic_image': '8.24.0.3', 'lmfdb_label': '16320.cl2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 16320.cl does not appear in ec_padic