Elliptic curve data - 20808.y1

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• 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': '20808a', 'Clabel': '20808a1', 'Cnumber': 1, 'abc_quality': 0.8034383677671774, 'absD': 2836260907776, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 102, 'ainvs': [0, 0, 0, 3468, 19652], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20808, 'degree': 18432, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0786152753055889906191101854', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [27648, 17], 'lmfdb_iso': '20808.y', 'lmfdb_label': '20808.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 12, 4], 'min_quad_twist_disc': 17, 'modell_images': [], 'modm_images': ['102.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.35526380035656829528371861842', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0747425892628433452992898471', 'prec': 103}, 'szpiro_ratio': 3.627402835923152, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 2, 0, 0, 0, -3, 0, -1, 0, 0, 0, 0, 0, -3, 0], 'aplist': [0, 0, 1, 2, -3, -1, 0, -3, -3, 2, 4, 6, 3, -5, 0, -8, 2, 10, 4, 8, -4, 10, 16, -2, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 20808, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20808.y', 'trace_hash': 2063656332217513976}
• 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': '0.11564495079578023758750472460', 'prec': 103}, 'conductor': 20808, 'gens': [[136, 1734, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.35526380035656829528371861842', 'prec': 103}], 'lmfdb_label': '20808.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49677166711476426096882068664', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6475196917970948462187952504871050055', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': [17, 136]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '20808.y1'}
• ec_torsion_growth •

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

  
  
  • id: 1061127
    {'degree': 3, 'field': [-3, 1, -1, 1], 'lmfdb_label': '20808.y1', 'torsion': [2]}
  • id: 1061128
    {'degree': 6, 'field': [9, -27, 30, -15, 4, -1, 1], 'lmfdb_label': '20808.y1', 'torsion': [2, 2]}
  • id: 1061129
    {'degree': 8, 'field': [8152, -8616, 2344, -640, 336, -52, 22, 0, 1], 'lmfdb_label': '20808.y1', 'torsion': [3]}
  • id: 1061130
    {'degree': 12, 'field': [31, 326, 1094, 1500, 751, 136, 520, -212, 187, -54, 26, -4, 1], 'lmfdb_label': '20808.y1', 'torsion': [4]}
• 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: 473139
    {'conductor': 20808, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '20808.y1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 473140
    {'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '20808.y1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 473141
    {'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '20808.y1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 1, 101, 0], [1, 0, 2, 1], [35, 2, 35, 3], [37, 2, 37, 3], [101, 2, 100, 3]], 'adelic_image': '102.2.0.?', 'conductor': 20808, 'lmfdb_label': '20808.y1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 971978
    {'lmfdb_iso': '20808.y', 'p': 5, 'prec': 20, 'unit': 17575597459197, 'val': -1}
  • id: 971979
    {'lmfdb_iso': '20808.y', 'p': 7, 'prec': 20, 'unit': 10170390156779606, 'val': 1}
  • id: 971986
    {'lmfdb_iso': '20808.y', 'p': 11, 'prec': 20, 'unit': 35096725781222684206, 'val': 1}
  • id: 971984
    {'lmfdb_iso': '20808.y', 'p': 13, 'prec': 20, 'unit': 867685410850719723663, 'val': 1}
  • id: 971987
    {'lmfdb_iso': '20808.y', 'p': 19, 'prec': 20, 'unit': 1928363486826719467780544, 'val': 1}
  • id: 971990
    {'lmfdb_iso': '20808.y', 'p': 23, 'prec': 20, 'unit': 38872170638991999879351385, 'val': 1}
  • id: 971983
    {'lmfdb_iso': '20808.y', 'p': 29, 'prec': 20, 'unit': 5440815647928455913912970662, 'val': 1}
  • id: 971980
    {'lmfdb_iso': '20808.y', 'p': 31, 'prec': 20, 'unit': 19744607536022959348544557965, 'val': 1}
  • id: 971995
    {'lmfdb_iso': '20808.y', 'p': 37, 'prec': 20, 'unit': 422035373223867535526707626265, 'val': 1}
  • id: 971981
    {'lmfdb_iso': '20808.y', 'p': 41, 'prec': 20, 'unit': 100829892582259016658672301711, 'val': 2}
  • id: 971982
    {'lmfdb_iso': '20808.y', 'p': 43, 'prec': 20, 'unit': 8660312406420767150487680938886, 'val': 1}
  • id: 971988
    {'lmfdb_iso': '20808.y', 'p': 53, 'prec': 20, 'unit': 374646419374373820358946868368971, 'val': 1}
  • id: 971993
    {'lmfdb_iso': '20808.y', 'p': 59, 'prec': 20, 'unit': 407379498968733844513638498548255, 'val': 1}
  • id: 971994
    {'lmfdb_iso': '20808.y', 'p': 61, 'prec': 20, 'unit': 319384295392056368927759289786282, 'val': 1}
  • id: 971977
    {'lmfdb_iso': '20808.y', 'p': 67, 'prec': 20, 'unit': 29395915262953506175271813220080310, 'val': 1}
  • id: 971992
    {'lmfdb_iso': '20808.y', 'p': 71, 'prec': 20, 'unit': 133337012717320764841704452515863999, 'val': 1}
  • id: 971989
    {'lmfdb_iso': '20808.y', 'p': 73, 'prec': 20, 'unit': 234148859641978676406001713208714426, 'val': 1}
  • id: 971985
    {'lmfdb_iso': '20808.y', 'p': 79, 'prec': 20, 'unit': 34961225254983134767218152608857641, 'val': 1}
  • id: 971976
    {'lmfdb_iso': '20808.y', 'p': 83, 'prec': 20, 'unit': 2265674050362915225150516268567777273, 'val': 1}
  • id: 971991
    {'lmfdb_iso': '20808.y', 'p': 89, 'prec': 20, 'unit': 8199991148691102891506417080816335672, 'val': 1}
  • id: 971975
    {'lmfdb_iso': '20808.y', 'p': 97, 'prec': 20, 'unit': 41600287446670888287117051822679855381, 'val': 1}