Elliptic curve data - 14196.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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '14196f', 'Clabel': '14196f1', 'Cnumber': 1, 'abc_quality': 1.0551964751750895, 'absD': 11352654768, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, -1, 0, -225, -5214], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14196, 'degree': 11520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.61191446144470233398032615395', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-16384, 147], 'lmfdb_iso': '14196.a', 'lmfdb_label': '14196.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1, -2], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '28.6.0.b.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.82591646329692151922141109904', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 507], [3, 4, 4732], [7, 8, 2028], [13, 86, 84]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90160927747271447051882827399', 'prec': 107}, 'szpiro_ratio': 3.2079128853900714, '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, 0, -1, 0, -4, 0, 1, 0, 1, 0, -2, 0, 0, 0, 4, 0, -4, 0, 4, 0], 'aplist': [0, -1, -4, 1, -2, 0, -4, 4, 2, -2, 0, -2, 0, -4, -12, -6, 8, 6, 8, -14, 2, 12, 4, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 14196, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14196.a', 'trace_hash': 732750346378170081}
• 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': '0.29410191475392451967213203574', 'prec': 103}, 'conductor': 14196, 'gens': [[35, 169, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.82591646329692151922141109904', 'prec': 103}], 'lmfdb_label': '14196.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53942484850224173184409650307', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6731191785366951055524147383552122255', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[22, 0, 1]], 'xcoord_integral_points': [22, 31, 35, 113]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [4, 0], '11': [1, 0], '13': 'a', '17': [3, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14196.a2'}
• ec_torsion_growth •

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

  
  
  • id: 729885
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '14196.a2', 'torsion': [2, 2]}
  • id: 729886
    {'degree': 4, 'field': [-118, 68, 24, -2, 1], 'lmfdb_label': '14196.a2', 'torsion': [4]}
  • id: 729889
    {'degree': 8, 'field': [-76587, -52716, -13168, -2160, -282, -4, -12, 0, 1], 'lmfdb_label': '14196.a2', 'torsion': [6]}
  • id: 729888
    {'degree': 8, 'field': [729, 3078, 13644, -2844, 375, 180, -20, -2, 1], 'lmfdb_label': '14196.a2', 'torsion': [2, 4]}
  • id: 729887
    {'degree': 8, 'field': [2833, -1546, 2228, -2260, 703, -164, 56, -2, 1], 'lmfdb_label': '14196.a2', 'torsion': [2, 4]}
  • id: 729890
    {'degree': 16, 'field': [98366724, 0, -376162272, 0, 127787544, 0, -4428240, 0, -1645016, 0, -18800, 0, 2012, 0, 88, 0, 1], 'lmfdb_label': '14196.a2', 'torsion': [8]}
  • id: 729891
    {'degree': 16, 'field': [140944384, -72561664, 36691712, 12811904, -7680576, 4631504, 5236, -75140, 130500, -5372, 7550, -1234, 611, 6, -13, -2, 1], 'lmfdb_label': '14196.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: 311368
    {'conductor': 14196, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '14196.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 311369
    {'conductor': 14196, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14196.a2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 311370
    {'conductor': 14196, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14196.a2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 311371
    {'conductor': 14196, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14196.a2', 'prime': 13, '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

  
  
  • id: 1758377
    {'adelic_gens': [[73, 4, 62, 9], [1, 4, 0, 1], [25, 64, 20, 63], [1, 0, 4, 1], [3, 4, 8, 11], [81, 4, 80, 5], [58, 1, 55, 0], [1, 2, 2, 5]], 'adelic_image': '84.12.0.?', 'conductor': 14196, 'lmfdb_label': '14196.a2', 'prime': 0}
  • id: 67157
    {'conductor': 14196, 'elladic_image': '2.3.0.1', 'lmfdb_label': '14196.a2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 633062
    {'lmfdb_iso': '14196.a', 'p': 5, 'prec': 20, 'unit': 34810811362324, 'val': -1}
  • id: 633068
    {'lmfdb_iso': '14196.a', 'p': 11, 'prec': 20, 'unit': 18361048015962448185, 'val': 1}
  • id: 633069
    {'lmfdb_iso': '14196.a', 'p': 17, 'prec': 20, 'unit': 798396451869797735488, 'val': 2}
  • id: 633070
    {'lmfdb_iso': '14196.a', 'p': 19, 'prec': 20, 'unit': 28583285430128105843854, 'val': 2}
  • id: 633073
    {'lmfdb_iso': '14196.a', 'p': 23, 'prec': 20, 'unit': 5590448364533766304687851, 'val': 1}
  • id: 633066
    {'lmfdb_iso': '14196.a', 'p': 29, 'prec': 20, 'unit': 4224726981500649601156255692, 'val': 1}
  • id: 633076
    {'lmfdb_iso': '14196.a', 'p': 37, 'prec': 20, 'unit': 506300649487818868756824552100, 'val': 1}
  • id: 633065
    {'lmfdb_iso': '14196.a', 'p': 43, 'prec': 20, 'unit': 238535044642904137082054080238, 'val': 1}
  • id: 633074
    {'lmfdb_iso': '14196.a', 'p': 47, 'prec': 20, 'unit': 33737092681960183676167465275244, 'val': 1}
  • id: 633071
    {'lmfdb_iso': '14196.a', 'p': 53, 'prec': 20, 'unit': 534099926427347463868532392672894, 'val': 1}
  • id: 633072
    {'lmfdb_iso': '14196.a', 'p': 59, 'prec': 20, 'unit': 3002983610176912991608420783763443, 'val': 1}
  • id: 633075
    {'lmfdb_iso': '14196.a', 'p': 61, 'prec': 20, 'unit': 1600156474786516320636143604004330, 'val': 1}
  • id: 633061
    {'lmfdb_iso': '14196.a', 'p': 67, 'prec': 20, 'unit': 3680601783962228683169821033137499, 'val': 1}
  • id: 633063
    {'lmfdb_iso': '14196.a', 'p': 71, 'prec': 20, 'unit': 66501211387897632432179308113389911, 'val': 1}
  • id: 633064
    {'lmfdb_iso': '14196.a', 'p': 73, 'prec': 20, 'unit': 154338903937224655560777071467184641, 'val': 1}
  • id: 633067
    {'lmfdb_iso': '14196.a', 'p': 79, 'prec': 20, 'unit': 821002489199745527272089062766897072, 'val': 1}
  • id: 633060
    {'lmfdb_iso': '14196.a', 'p': 83, 'prec': 20, 'unit': 347300265802998791611851537426833477, 'val': 1}
  • id: 633059
    {'lmfdb_iso': '14196.a', 'p': 97, 'prec': 20, 'unit': 45362202602966257631591885020112561000, 'val': 1}