Elliptic curve data - 8280.w2

Formats: - HTML - YAML - JSON - 2023-03-26T02:09:17.998622

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '8280w', 'Clabel': '8280w1', 'Cnumber': 1, 'absD': 148086144000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2760, 'ainvs': [0, 0, 0, 573, -17746], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8280, 'degree': 10752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82503827601279635657023737446', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [27871484, 198375], 'lmfdb_iso': '8280.w', 'lmfdb_label': '8280.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 64, 636], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '30.6.0.1', '184.6.0.?', '2760.12.0.?'], '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': '-0.30189051878787958030841201188', 'prec': 107}, '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, 0, 0, 1, 0, 4, 0, 0, 0, 6, 0, -4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 1, 4, 6, -4, -2, 0, -1, -8, 8, -6, 2, 6, 12, -6, -4, 2, 6, 6, 14, 0, 0, -12, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 8280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8280.w', 'trace_hash': 1136850374289256221}
• 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': '0.19203520737394659034612837590', 'prec': 103}, 'conductor': 8280, 'gens': [], 'heights': [], 'lmfdb_label': '8280.w2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.51265949473811984201547313374', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0759569684287190520928388024637017065', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[19, 0, 1]], 'xcoord_integral_points': [19]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '23': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '8280.w2'}
• ec_torsion_growth •

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

  
  
  • id: 433459
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '8280.w2', 'torsion': [2, 2]}
  • id: 433460
    {'degree': 4, 'field': [-135, 0, -14, 0, 1], 'lmfdb_label': '8280.w2', 'torsion': [4]}
  • id: 433463
    {'degree': 8, 'field': [-675, 0, 456, 0, 90, 0, 0, 0, 1], 'lmfdb_label': '8280.w2', 'torsion': [6]}
  • id: 433462
    {'degree': 8, 'field': [4416, -2016, -912, 180, 181, 10, -18, -2, 1], 'lmfdb_label': '8280.w2', 'torsion': [2, 4]}
  • id: 433461
    {'degree': 8, 'field': [8434, 6864, -1091, -370, 641, -92, 15, -2, 1], 'lmfdb_label': '8280.w2', 'torsion': [2, 4]}
  • id: 433465
    {'degree': 16, 'field': [2938240, -8318720, 8145024, 471008, -607744, 620232, -485108, 214840, -19395, -30320, 13984, -4944, 1370, -280, 60, -8, 1], 'lmfdb_label': '8280.w2', 'torsion': [2, 6]}
  • id: 433464
    {'degree': 16, 'field': [33178986801, 0, -814942296, 0, -1060009812, 0, -56466504, 0, -730218, 0, -86184, 0, 268, 0, -56, 0, 1], 'lmfdb_label': '8280.w2', '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: 172387
    {'conductor': 8280, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '8280.w2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 172388
    {'conductor': 8280, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '8280.w2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 172389
    {'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '8280.w2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 172390
    {'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8280.w2', 'prime': 23, '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: 1718763
    {'adelic_gens': [[1, 0, 4, 1], [2757, 4, 2756, 5], [922, 1, 919, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1381, 4, 2, 9], [1201, 4, 2402, 9], [554, 1, 1103, 0], [1729, 1036, 344, 2415]], 'adelic_image': '2760.12.0.?', 'conductor': 8280, 'lmfdb_label': '8280.w2', 'prime': 0}
  • id: 40607
    {'conductor': 8280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8280.w2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 8280.w does not appear in ec_padic