Elliptic curve data - 43190.k2

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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': '43190i', 'Clabel': '43190i2', 'Cnumber': 2, 'abc_quality': 0.89634884180763, 'absD': 53296460000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 34552, 'ainvs': [1, -1, 1, 873, 4751], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 617], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 43190, 'degree': 31360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74662020052205385216681773982', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [73660174154559, 53296460000], 'lmfdb_iso': '43190.k', 'lmfdb_label': '43190.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 873, 4751], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '2468.6.0.?', '34552.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3385008522755836032429053127', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74662020052205385216681773982', 'prec': 103}, 'szpiro_ratio': 2.9916043897326356, '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, 0, 1, 1, 0, -1, 1, -3, 1, 0, 0, 2, -1, 0, 1, 4, -3, 4, 1], 'aplist': [1, 0, 1, -1, 0, 2, 4, 4, 4, -4, -8, -2, -2, -4, 8, -4, -12, -10, -8, -16, 4, 0, 4, 0, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 43190, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '43190.k', 'trace_hash': 118655895837556671}
• 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': '0.22464353970296263070029447665', 'prec': 103}, 'conductor': 43190, 'gens': [[1, 74, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3385008522755836032429053127', 'prec': 100}], 'lmfdb_label': '43190.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71309035419426075761456099886', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5447204683851580682386936154132786708', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-21, 17, 2]], 'xcoord_integral_points': [1, 149]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [1, 1, 0], '5': [2, 0], '7': [1, 0], '11': [3, 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': [1, 0], '617': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '43190.k2'}
• ec_torsion_growth •

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

  
  
  • id: 2114808
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '43190.k2', 'torsion': [2, 2]}
  • id: 2114809
    {'degree': 4, 'field': [-686, 0, -53, 0, 1], 'lmfdb_label': '43190.k2', 'torsion': [4]}
  • id: 2114812
    {'degree': 8, 'field': [-1625600, -68800, 64360, 8879, -4436, -7, 7, -4, 1], 'lmfdb_label': '43190.k2', 'torsion': [6]}
  • id: 2114811
    {'degree': 8, 'field': [63504, 0, 298368, 0, 1129, 0, -50, 0, 1], 'lmfdb_label': '43190.k2', 'torsion': [2, 4]}
  • id: 2114810
    {'degree': 8, 'field': [144190, 64768, 12440, 5648, 1001, -68, 74, -4, 1], 'lmfdb_label': '43190.k2', 'torsion': [2, 4]}
  • id: 2114814
    {'degree': 16, 'field': [2287134976, 0, 77690411008, 0, -3054727424, 0, 22064896, 0, -7452704, 0, 93184, 0, 8176, 0, 112, 0, 1], 'lmfdb_label': '43190.k2', 'torsion': [2, 6]}
  • id: 2114813
    {'degree': 16, 'field': [757251551385616, 0, -96349059114336, 0, 2168431222776, 0, -82030486776, 0, -300806751, 0, 220216, 0, -97562, 0, -80, 0, 1], 'lmfdb_label': '43190.k2', '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: 1025120
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '43190.k2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 1025121
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '43190.k2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1025122
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '43190.k2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1025123
    {'conductor': 43190, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '43190.k2', 'prime': 617, '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: 1951794
    {'adelic_gens': [[1, 0, 4, 1], [19746, 1, 24679, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [34549, 4, 34548, 5], [4321, 30234, 30232, 4319], [2, 1, 17275, 0], [33321, 4, 32090, 9]], 'adelic_image': '34552.12.0.?', 'conductor': 43190, 'lmfdb_label': '43190.k2', 'prime': 0}
  • id: 188168
    {'conductor': 43190, 'elladic_image': '2.3.0.1', 'lmfdb_label': '43190.k2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2149834
    {'lmfdb_iso': '43190.k', 'p': 13, 'prec': 20, 'unit': 492790577975623007053, 'val': 1}
  • id: 2149836
    {'lmfdb_iso': '43190.k', 'p': 17, 'prec': 20, 'unit': 146512325936082498543756, 'val': 1}
  • id: 2149837
    {'lmfdb_iso': '43190.k', 'p': 19, 'prec': 20, 'unit': 597997127265374221225122, 'val': 1}
  • id: 2149840
    {'lmfdb_iso': '43190.k', 'p': 23, 'prec': 20, 'unit': 13001159582241700485934707, 'val': 1}
  • id: 2149833
    {'lmfdb_iso': '43190.k', 'p': 29, 'prec': 20, 'unit': 2115505693508618891888092154, 'val': 1}
  • id: 2149843
    {'lmfdb_iso': '43190.k', 'p': 31, 'prec': 20, 'unit': 18008850415258736452117934286, 'val': 1}
  • id: 2149829
    {'lmfdb_iso': '43190.k', 'p': 37, 'prec': 20, 'unit': 8351383973070458687310743340, 'val': 1}
  • id: 2149831
    {'lmfdb_iso': '43190.k', 'p': 41, 'prec': 20, 'unit': 2547708328720290043199562618018, 'val': 1}
  • id: 2149832
    {'lmfdb_iso': '43190.k', 'p': 43, 'prec': 20, 'unit': 880096822664275802317123393517, 'val': 1}
  • id: 2149835
    {'lmfdb_iso': '43190.k', 'p': 47, 'prec': 20, 'unit': 48155681777847189541490926835800, 'val': 1}
  • id: 2149838
    {'lmfdb_iso': '43190.k', 'p': 53, 'prec': 20, 'unit': 150632029505118831278401242581342, 'val': 1}
  • id: 2149841
    {'lmfdb_iso': '43190.k', 'p': 59, 'prec': 20, 'unit': 3657024094752723330587841829427743, 'val': 1}
  • id: 2149842
    {'lmfdb_iso': '43190.k', 'p': 61, 'prec': 20, 'unit': 2127436603724623343052526443547490, 'val': 1}
  • id: 2149828
    {'lmfdb_iso': '43190.k', 'p': 67, 'prec': 20, 'unit': 18541267575443872609739853069885846, 'val': 1}
  • id: 2149830
    {'lmfdb_iso': '43190.k', 'p': 71, 'prec': 20, 'unit': 68168006523602319817956972400032231, 'val': 1}
  • id: 2149839
    {'lmfdb_iso': '43190.k', 'p': 73, 'prec': 20, 'unit': 126777972184297585833647183113823721, 'val': 1}
  • id: 2149827
    {'lmfdb_iso': '43190.k', 'p': 83, 'prec': 20, 'unit': 663695975969194322442464951072880783, 'val': 1}
  • id: 2149826
    {'lmfdb_iso': '43190.k', 'p': 97, 'prec': 20, 'unit': 36560440293195692195758863000847243413, 'val': 1}