Elliptic curve data - 1155.k1

Formats: - HTML - YAML - JSON - 2023-01-28T16:31:26.684407

• 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': '1155f', 'Clabel': '1155f3', 'Cnumber': 3, 'absD': 522287841796875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, 1, 0, -20702, -333459], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1155, 'degree': 4608, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5154768544539158016888728531', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [981281029968144361, 522287841796875], 'lmfdb_iso': '1155.k', 'lmfdb_label': '1155.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -20702, -333459], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '4.12.0.7', '44.24.0.22', '280.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1180524970622027663771016754', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5154768544539158016888728531', 'prec': 100}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, -1, -1, 1, -1, 1, -3, 1, 1, -1, 1, -2, 1, -1, -1, -6, 1, 4, -1], 'aplist': [1, -1, 1, 1, -1, -2, -6, 4, -4, -2, -4, -2, -2, -12, 0, -2, 0, -14, -8, -16, 10, 16, -4, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 1155, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1155.k', 'trace_hash': 606824859377570068}
• 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': '0.048269581037618117200542858957', 'prec': 107}, 'conductor': 1155, 'gens': [[212, 2099, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1180524970622027663771016754', 'prec': 100}], 'lmfdb_label': '1155.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42289855051080424227399030465', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8369366824155446097475978415636351933', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-68, 909, 1]], 'xcoord_integral_points': [-68, 212, 932]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': [2, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '1155.k1'}
• ec_torsion_growth •

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

  
  
  • id: 56971
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '1155.k1', 'torsion': [2, 4]}
  • id: 56972
    {'degree': 4, 'field': [11, 0, 3, 0, 1], 'lmfdb_label': '1155.k1', 'torsion': [8]}
  • id: 56974
    {'degree': 8, 'field': [-30890, -62700, -31994, 4224, 4319, -132, -134, 0, 1], 'lmfdb_label': '1155.k1', 'torsion': [2, 8]}
  • id: 56976
    {'degree': 8, 'field': [-7, 1, -10, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '1155.k1', 'torsion': [12]}
  • id: 56973
    {'degree': 8, 'field': [100, 0, 136, 0, -16, 0, 4, 0, 1], 'lmfdb_label': '1155.k1', 'torsion': [4, 4]}
  • id: 56975
    {'degree': 8, 'field': [27225, 0, -4730, 0, 691, 0, -38, 0, 1], 'lmfdb_label': '1155.k1', 'torsion': [2, 8]}
  • id: 56978
    {'degree': 16, 'field': [9150625, 0, -8823199, 0, 2190100, 0, 108537, 0, -91839, 0, -2937, 0, 319, 0, -22, 0, 1], 'lmfdb_label': '1155.k1', 'torsion': [2, 12]}
  • id: 56977
    {'degree': 16, 'field': [15083524225, 0, -665233800, 0, 59090955, 0, 203280, 0, 251966, 0, 4224, 0, 321, 0, 24, 0, 1], 'lmfdb_label': '1155.k1', 'torsion': [16]}
• 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: 16775
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1155.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 16776
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '1155.k1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 16777
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1155.k1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 16778
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1155.k1', 'prime': 11, '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: 1671859
    {'adelic_gens': [[2201, 8, 2644, 33], [1, 0, 8, 1], [617, 8, 2468, 33], [1, 8, 0, 1], [1, 4, 4, 17], [2699, 2698, 1938, 395], [2696, 1163, 2699, 2728], [3073, 8, 3072, 9], [7, 6, 3074, 3075], [1688, 3, 285, 2]], 'adelic_image': '3080.48.0.?', 'conductor': 1155, 'lmfdb_label': '1155.k1', 'prime': 0}
  • id: 5512
    {'conductor': 1155, 'elladic_image': '4.12.0.7', 'lmfdb_label': '1155.k1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 28110
    {'lmfdb_iso': '1155.k', 'p': 13, 'prec': 20, 'unit': 186136674148977205450, 'val': 1}
  • id: 28112
    {'lmfdb_iso': '1155.k', 'p': 17, 'prec': 20, 'unit': 80751261292255881299706, 'val': 1}
  • id: 28102
    {'lmfdb_iso': '1155.k', 'p': 19, 'prec': 20, 'unit': 1394527082119871536326754, 'val': 1}
  • id: 28116
    {'lmfdb_iso': '1155.k', 'p': 23, 'prec': 20, 'unit': 44735907424164943378727273, 'val': 1}
  • id: 28109
    {'lmfdb_iso': '1155.k', 'p': 29, 'prec': 20, 'unit': 1316873436229613811313949528, 'val': 1}
  • id: 28119
    {'lmfdb_iso': '1155.k', 'p': 31, 'prec': 20, 'unit': 2909261282001285562741720452, 'val': 1}
  • id: 28105
    {'lmfdb_iso': '1155.k', 'p': 37, 'prec': 20, 'unit': 471347674352835843543685114873, 'val': 1}
  • id: 28107
    {'lmfdb_iso': '1155.k', 'p': 41, 'prec': 20, 'unit': 1465882883684629198149823976980, 'val': 1}
  • id: 28108
    {'lmfdb_iso': '1155.k', 'p': 43, 'prec': 20, 'unit': 7848206586369077121436746873355, 'val': 1}
  • id: 28114
    {'lmfdb_iso': '1155.k', 'p': 53, 'prec': 20, 'unit': 412996809766558531507749377684360, 'val': 1}
  • id: 28118
    {'lmfdb_iso': '1155.k', 'p': 61, 'prec': 20, 'unit': 5789650773122499417400523921126998, 'val': 1}
  • id: 28104
    {'lmfdb_iso': '1155.k', 'p': 67, 'prec': 20, 'unit': 34305533449439416615854476644759310, 'val': 1}
  • id: 28106
    {'lmfdb_iso': '1155.k', 'p': 71, 'prec': 20, 'unit': 140131806960784529386020436042802838, 'val': 1}
  • id: 28115
    {'lmfdb_iso': '1155.k', 'p': 73, 'prec': 20, 'unit': 46478681181424330191921312251579135, 'val': 1}
  • id: 28111
    {'lmfdb_iso': '1155.k', 'p': 79, 'prec': 20, 'unit': 789280551629725277447077203980746878, 'val': 1}
  • id: 28113
    {'lmfdb_iso': '1155.k', 'p': 83, 'prec': 20, 'unit': 2292065997025012980249847369215248221, 'val': 1}
  • id: 28117
    {'lmfdb_iso': '1155.k', 'p': 89, 'prec': 20, 'unit': 3892789566970541583364875965774342962, 'val': 1}
  • id: 28103
    {'lmfdb_iso': '1155.k', 'p': 97, 'prec': 20, 'unit': 38849983024230756193239201060134464670, 'val': 1}