Elliptic curve data - 570.b1

Formats: - HTML - YAML - JSON - 2024-04-25T06:44:30.865237

• 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': '570a', 'Clabel': '570a2', 'Cnumber': 2, 'abc_quality': 0.9792620850623955, 'absD': 5540400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [1, 1, 0, -1618, 24388], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 570, 'degree': 384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44399078785278025126495506941', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [468898230633769, 5540400], 'lmfdb_iso': '570.b', 'lmfdb_label': '570.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1618, 24388], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.31164954389922317457019348119', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44399078785278025126495506941', 'prec': 103}, 'szpiro_ratio': 5.323564879498615, '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, -1, 1, -1, 1, 2, -1, 1, 1, -6, -1, 0, -2, 1, 1, 2, -1, -1, -1], 'aplist': [-1, -1, -1, 2, -6, 0, 2, -1, 4, -8, -8, -4, -4, -6, -12, 6, -4, 2, -8, 0, 6, 8, 4, -4, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 570, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '570.b', 'trace_hash': 744858856663164601}
• 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': '0.41148546737673919709597965917', 'prec': 103}, 'conductor': 570, 'gens': [[16, 46, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.31164954389922317457019348119', 'prec': 103}], 'lmfdb_label': '570.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.1867251700822314888159175386', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3629838037781573305271615790708257716', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[91, -91, 2]], 'xcoord_integral_points': [-11, 16, 23, 24, 84]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [5, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '570.b1'}
• ec_torsion_growth •

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

  
  
  • id: 25441
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '570.b1', 'torsion': [2, 2]}
  • id: 25442
    {'degree': 4, 'field': [19, 0, -4, 0, 1], 'lmfdb_label': '570.b1', 'torsion': [4]}
  • id: 25444
    {'degree': 8, 'field': [-927, -2156, -136, 988, 194, -76, -8, -4, 1], 'lmfdb_label': '570.b1', 'torsion': [2, 4]}
  • id: 25445
    {'degree': 8, 'field': [-22, -155, 182, -55, 31, -7, 7, -4, 1], 'lmfdb_label': '570.b1', 'torsion': [6]}
  • id: 25443
    {'degree': 8, 'field': [334, -462, 547, -118, 209, 70, -3, -2, 1], 'lmfdb_label': '570.b1', 'torsion': [2, 4]}
  • id: 25446
    {'degree': 16, 'field': [130321, 0, 6859, 0, 83752, 0, 45847, 0, 18430, 0, 2413, 0, 232, 0, 1, 0, 1], 'lmfdb_label': '570.b1', 'torsion': [8]}
  • id: 25447
    {'degree': 16, 'field': [13032100, 0, -12133571, 0, 1996330, 0, -553413, 0, 53067, 0, -8265, 0, 475, 0, -38, 0, 1], 'lmfdb_label': '570.b1', '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: 6479
    {'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '570.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6480
    {'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '570.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6481
    {'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '570.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6482
    {'conductor': 570, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '570.b1', 'prime': 19, '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: 1668370
    {'adelic_gens': [[1, 2, 2, 5], [856, 289, 285, 856], [1, 4, 0, 1], [457, 4, 914, 9], [1137, 4, 1136, 5], [422, 1, 359, 0], [1, 0, 4, 1], [3, 4, 8, 11], [761, 4, 382, 9]], 'adelic_image': '1140.12.0.?', 'conductor': 570, 'lmfdb_label': '570.b1', 'prime': 0}
  • id: 2521
    {'conductor': 570, 'elladic_image': '2.3.0.1', 'lmfdb_label': '570.b1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 9212
    {'lmfdb_iso': '570.b', 'p': 7, 'prec': 20, 'unit': 8697383193383721, 'val': 1}
  • id: 9210
    {'lmfdb_iso': '570.b', 'p': 11, 'prec': 20, 'unit': 12112785135929341668, 'val': 1}
  • id: 9217
    {'lmfdb_iso': '570.b', 'p': 17, 'prec': 20, 'unit': 220092941465706022554026, 'val': 1}
  • id: 9222
    {'lmfdb_iso': '570.b', 'p': 23, 'prec': 20, 'unit': 18361612304708898748310737, 'val': 1}
  • id: 9215
    {'lmfdb_iso': '570.b', 'p': 29, 'prec': 20, 'unit': 645142882537255367853453273, 'val': 1}
  • id: 9226
    {'lmfdb_iso': '570.b', 'p': 31, 'prec': 20, 'unit': 184304243590987325590950427, 'val': 1}
  • id: 9211
    {'lmfdb_iso': '570.b', 'p': 37, 'prec': 20, 'unit': 156524495502585035286119417140, 'val': 1}
  • id: 9213
    {'lmfdb_iso': '570.b', 'p': 41, 'prec': 20, 'unit': 3298983589299731169875613622458, 'val': 1}
  • id: 9214
    {'lmfdb_iso': '570.b', 'p': 43, 'prec': 20, 'unit': 8878565877613257948819470727248, 'val': 1}
  • id: 9224
    {'lmfdb_iso': '570.b', 'p': 47, 'prec': 20, 'unit': 54258791641088100576133780629495, 'val': 1}
  • id: 9219
    {'lmfdb_iso': '570.b', 'p': 53, 'prec': 20, 'unit': 239721649009282851313573618896388, 'val': 1}
  • id: 9220
    {'lmfdb_iso': '570.b', 'p': 59, 'prec': 20, 'unit': 2836177718666681771353069795762589, 'val': 1}
  • id: 9225
    {'lmfdb_iso': '570.b', 'p': 61, 'prec': 20, 'unit': 2612450047261324734055127251579318, 'val': 1}
  • id: 9209
    {'lmfdb_iso': '570.b', 'p': 67, 'prec': 20, 'unit': 41403244424602550076379617670142123, 'val': 1}
  • id: 9221
    {'lmfdb_iso': '570.b', 'p': 73, 'prec': 20, 'unit': 226499388289713351481649341972431303, 'val': 1}
  • id: 9216
    {'lmfdb_iso': '570.b', 'p': 79, 'prec': 20, 'unit': 798159143240964915732569173797592826, 'val': 1}
  • id: 9218
    {'lmfdb_iso': '570.b', 'p': 83, 'prec': 20, 'unit': 1763121931826671420058531129311690354, 'val': 1}
  • id: 9223
    {'lmfdb_iso': '570.b', 'p': 89, 'prec': 20, 'unit': 5780588255146279103944188683576033980, 'val': 1}
  • id: 9208
    {'lmfdb_iso': '570.b', 'p': 97, 'prec': 20, 'unit': 16858879785889249577246506058761754737, 'val': 1}