Elliptic curve data - 162.a2

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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': '162a', 'Clabel': '162a2', 'Cnumber': 2, 'abc_quality': 1.2854862760382055, 'absD': 3779136, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 12, 'ainvs': [1, -1, 0, 39, -19], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162, 'degree': 36, 'elladic_images': ['4.8.0.2', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.048500341608534496996168113703', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [109503, 64], 'lmfdb_iso': '162.a', 'lmfdb_label': '162.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 39, -19], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '4.8.0.b.1', '12.128.1-12.b.1.3'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.10197829462292110456679008894', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96401058216529257315887247781', 'prec': 107}, 'szpiro_ratio': 4.440177369294559, '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, -1, 0, 1, -3, 0, -4, -1, 0, 3, 0, 0, -1, 4, 0, 1, -3, 0, -4, -3], 'aplist': [-1, 0, -3, -4, 0, -1, -3, -4, 0, 9, -4, -1, 6, 8, -12, -6, 0, -1, -4, -12, 11, -16, -12, -3, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 162, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '162.a', 'trace_hash': 497496804025843963}
• 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': '1.1018611264310826782954406120', 'prec': 100}, 'conductor': 162, 'gens': [[10, 31, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.10197829462292110456679008894', 'prec': 103}], 'lmfdb_label': '162.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4651475876169562933434955407', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.89647951413638449139673303664113674186', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [1, 2, 10, 19, 154]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '162.a2'}
• ec_torsion_growth •

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

  
  
  • id: 6420
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '162.a2', 'torsion': [3]}
  • id: 6421
    {'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [2]}
  • id: 6422
    {'degree': 3, 'field': [-3, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [3]}
  • id: 6424
    {'degree': 6, 'field': [1, 0, 0, -4, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [4]}
  • id: 6423
    {'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [2, 2]}
  • id: 6426
    {'degree': 6, 'field': [3, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [3, 3]}
  • id: 6425
    {'degree': 6, 'field': [4, 12, 9, -2, -3, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [12]}
  • id: 6427
    {'degree': 9, 'field': [8, 0, 0, 12, 0, 0, -3, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [6]}
  • id: 6428
    {'degree': 12, 'field': [1, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [4, 12]}
  • id: 6432
    {'degree': 18, 'field': [-8, 0, 0, 12, 0, 0, -39, 0, 0, -38, 0, 0, -30, 0, 0, -6, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [12]}
  • id: 6429
    {'degree': 18, 'field': [1, 0, 0, 0, 0, 0, 3, 0, 0, -4, 0, 0, 3, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [9]}
  • id: 6430
    {'degree': 18, 'field': [1, 0, 0, 24, 0, 0, 159, 0, 0, -196, 0, 0, 87, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '162.a2', 'torsion': [3, 12]}
  • id: 6431
    {'degree': 18, 'field': [8, 0, 0, 12, 0, 0, 9, 0, 0, 22, 0, 0, 18, 0, 0, -6, 0, 0, 1], 'lmfdb_label': '162.a2', '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: 1237
    {'conductor': 162, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '162.a2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1238
    {'conductor': 162, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '162.a2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1666427
    {'adelic_gens': [[9, 4, 8, 5], [7, 3, 0, 1], [1, 9, 9, 10], [3, 8, 8, 3]], 'adelic_image': '12.128.1.?', 'conductor': 162, 'lmfdb_label': '162.a2', 'prime': 0}
  • id: 632
    {'conductor': 162, 'elladic_image': '4.8.0.2', 'lmfdb_label': '162.a2', 'modell_image': '2G', 'prime': 2}
  • id: 633
    {'conductor': 162, 'elladic_image': '3.8.0.2', 'lmfdb_label': '162.a2', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1029
    {'lmfdb_iso': '162.a', 'p': 5, 'prec': 20, 'unit': 7359691041949, 'val': 1}
  • id: 1030
    {'lmfdb_iso': '162.a', 'p': 7, 'prec': 20, 'unit': 10417354695831170, 'val': 1}
  • id: 1035
    {'lmfdb_iso': '162.a', 'p': 13, 'prec': 20, 'unit': 63204785719709623500, 'val': 2}
  • id: 1037
    {'lmfdb_iso': '162.a', 'p': 17, 'prec': 20, 'unit': 207266402895884631294934, 'val': 1}
  • id: 1038
    {'lmfdb_iso': '162.a', 'p': 19, 'prec': 20, 'unit': 735035669031452910245827, 'val': 1}
  • id: 1034
    {'lmfdb_iso': '162.a', 'p': 29, 'prec': 20, 'unit': 4209565055598012563604430685, 'val': 1}
  • id: 1031
    {'lmfdb_iso': '162.a', 'p': 31, 'prec': 20, 'unit': 13708643636995872197364458285, 'val': 1}
  • id: 1045
    {'lmfdb_iso': '162.a', 'p': 37, 'prec': 20, 'unit': 583083582876908935739707672290, 'val': 1}
  • id: 1032
    {'lmfdb_iso': '162.a', 'p': 41, 'prec': 20, 'unit': 1545371234909654986948627458745, 'val': 1}
  • id: 1033
    {'lmfdb_iso': '162.a', 'p': 43, 'prec': 20, 'unit': 9044098034790986523732468088050, 'val': 1}
  • id: 1036
    {'lmfdb_iso': '162.a', 'p': 47, 'prec': 20, 'unit': 458162993069062608041324286049, 'val': 2}
  • id: 1039
    {'lmfdb_iso': '162.a', 'p': 53, 'prec': 20, 'unit': 166984491435342976541099256210776, 'val': 1}
  • id: 1044
    {'lmfdb_iso': '162.a', 'p': 61, 'prec': 20, 'unit': 4705966135341803988774890149823613, 'val': 1}
  • id: 1028
    {'lmfdb_iso': '162.a', 'p': 67, 'prec': 20, 'unit': 44295070278955385668450300601185647, 'val': 1}
  • id: 1042
    {'lmfdb_iso': '162.a', 'p': 71, 'prec': 20, 'unit': 66467368886995430891863570411358020, 'val': 1}
  • id: 1040
    {'lmfdb_iso': '162.a', 'p': 73, 'prec': 20, 'unit': 170773938302802929283491893300008803, 'val': 1}
  • id: 1043
    {'lmfdb_iso': '162.a', 'p': 79, 'prec': 20, 'unit': 29332805633130999471955413663607505, 'val': 1}
  • id: 1027
    {'lmfdb_iso': '162.a', 'p': 83, 'prec': 20, 'unit': 890224179490503049969033461774865639, 'val': 1}
  • id: 1041
    {'lmfdb_iso': '162.a', 'p': 89, 'prec': 20, 'unit': 8642827118179193299618177527883453234, 'val': 1}
  • id: 1026
    {'lmfdb_iso': '162.a', 'p': 97, 'prec': 20, 'unit': 38912069988480442196698756568818633027, 'val': 1}