Elliptic curve data - 14490.bx2

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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': '14490bj', 'Clabel': '14490bj2', 'Cnumber': 2, 'abc_quality': 1.0222271343995988, 'absD': 866513320312500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9660, 'ainvs': [1, -1, 1, 943, 1415989], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14490, 'degree': 61440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5452028688596335533263627149', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2], 'jinv': [4716275733, 44023437500], 'lmfdb_iso': '14490.bx', 'lmfdb_label': '14490.bx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 105, -52479], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '276.6.0.?', '420.6.0.?', '3220.6.0.?', '9660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0108409345400249926129944845', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72124365235855128477992878721', 'prec': 103}, 'szpiro_ratio': 4.36793880124017, '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, 0, 1, -2, 0, 2, 1, 0, 1, -2, 0, -4, 1], 'aplist': [1, 0, 1, 1, -2, 2, -2, -4, 1, -8, 2, 4, -2, -8, -12, -10, 4, -8, -8, -4, -6, 8, -6, -6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 14490, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14490.bx', 'trace_hash': 232188032781838128}
• 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': '0.045483496290249071632949583078', 'prec': 107}, 'conductor': 14490, 'gens': [[47, 1226, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0108409345400249926129944845', 'prec': 100}], 'lmfdb_label': '14490.bx2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39390579882214174254463926053', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9635221160421767002670694572080241280', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[-437, 433, 2]], 'xcoord_integral_points': [47, 127]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14490.bx2'}
• ec_torsion_growth •

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

  
  
  • id: 747967
    {'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '14490.bx2', 'torsion': [2, 2]}
  • id: 747968
    {'degree': 4, 'field': [-69, 0, 12, 0, 1], 'lmfdb_label': '14490.bx2', 'torsion': [4]}
  • id: 747971
    {'degree': 8, 'field': [-15680, 3920, -3500, -841, 424, -7, 7, -4, 1], 'lmfdb_label': '14490.bx2', 'torsion': [6]}
  • id: 747970
    {'degree': 8, 'field': [81225, 0, 6516, 0, -222, 0, -12, 0, 1], 'lmfdb_label': '14490.bx2', 'torsion': [2, 4]}
  • id: 747969
    {'degree': 8, 'field': [236329, 133292, 90280, 20132, 3094, 20, 136, -4, 1], 'lmfdb_label': '14490.bx2', 'torsion': [2, 4]}
  • id: 747972
    {'degree': 16, 'field': [5095960996, 0, 148782078452, 0, -24277203727, 0, 783230504, 0, 106402780, 0, 4301734, 0, -9472, 0, -368, 0, 1], 'lmfdb_label': '14490.bx2', 'torsion': [8]}
  • id: 747973
    {'degree': 16, 'field': [6324776430, -2826462660, 3280740540, -929225766, 518746416, -71881026, 35637223, -10391686, 3297074, -806548, 497199, -177430, 24779, 2184, -292, -8, 1], 'lmfdb_label': '14490.bx2', '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: 319229
    {'conductor': 14490, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14490.bx2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 319230
    {'conductor': 14490, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '14490.bx2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 319231
    {'conductor': 14490, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '14490.bx2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 319232
    {'conductor': 14490, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14490.bx2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 319233
    {'conductor': 14490, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14490.bx2', 'prime': 23, '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: 1760497
    {'adelic_gens': [[1, 2, 2, 5], [3782, 1, 2939, 0], [2761, 4, 5522, 9], [1, 4, 0, 1], [3224, 1, 6439, 0], [1, 0, 4, 1], [5797, 4, 1934, 9], [3, 4, 8, 11], [9657, 4, 9656, 5], [2416, 7249, 7245, 2416]], 'adelic_image': '9660.12.0.?', 'conductor': 14490, 'lmfdb_label': '14490.bx2', 'prime': 0}
  • id: 68843
    {'conductor': 14490, 'elladic_image': '2.3.0.1', 'lmfdb_label': '14490.bx2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 647096
    {'lmfdb_iso': '14490.bx', 'p': 11, 'prec': 20, 'unit': 2259867823622165991, 'val': 1}
  • id: 647102
    {'lmfdb_iso': '14490.bx', 'p': 13, 'prec': 20, 'unit': 148861386933749099797, 'val': 1}
  • id: 647104
    {'lmfdb_iso': '14490.bx', 'p': 17, 'prec': 20, 'unit': 192823813306106279682094, 'val': 1}
  • id: 647105
    {'lmfdb_iso': '14490.bx', 'p': 19, 'prec': 20, 'unit': 1416680646186969447746117, 'val': 1}
  • id: 647101
    {'lmfdb_iso': '14490.bx', 'p': 29, 'prec': 20, 'unit': 33641946924226026150390458, 'val': 1}
  • id: 647113
    {'lmfdb_iso': '14490.bx', 'p': 31, 'prec': 20, 'unit': 2035655035387318657617267823, 'val': 1}
  • id: 647097
    {'lmfdb_iso': '14490.bx', 'p': 37, 'prec': 20, 'unit': 55477606294774425134650811127, 'val': 1}
  • id: 647099
    {'lmfdb_iso': '14490.bx', 'p': 41, 'prec': 20, 'unit': 1374156364664495722536065380038, 'val': 1}
  • id: 647100
    {'lmfdb_iso': '14490.bx', 'p': 43, 'prec': 20, 'unit': 5556348510927223827009628254788, 'val': 1}
  • id: 647111
    {'lmfdb_iso': '14490.bx', 'p': 47, 'prec': 20, 'unit': 50369302679775105236930480958906, 'val': 1}
  • id: 647106
    {'lmfdb_iso': '14490.bx', 'p': 53, 'prec': 20, 'unit': 337105888359589031137812727113010, 'val': 1}
  • id: 647107
    {'lmfdb_iso': '14490.bx', 'p': 59, 'prec': 20, 'unit': 1599173563549760875252045679478196, 'val': 1}
  • id: 647112
    {'lmfdb_iso': '14490.bx', 'p': 61, 'prec': 20, 'unit': 4502047897224283896972675210564859, 'val': 1}
  • id: 647095
    {'lmfdb_iso': '14490.bx', 'p': 67, 'prec': 20, 'unit': 2815029265574095526442016417154718, 'val': 1}
  • id: 647098
    {'lmfdb_iso': '14490.bx', 'p': 71, 'prec': 20, 'unit': 126845730808475180344334626691568608, 'val': 1}
  • id: 647108
    {'lmfdb_iso': '14490.bx', 'p': 73, 'prec': 20, 'unit': 121195627716704922428994022575938768, 'val': 1}
  • id: 647103
    {'lmfdb_iso': '14490.bx', 'p': 79, 'prec': 20, 'unit': 345201331609846564288342729883091900, 'val': 1}
  • id: 647109
    {'lmfdb_iso': '14490.bx', 'p': 83, 'prec': 20, 'unit': 2859735243635152744702066220019595184, 'val': 1}
  • id: 647110
    {'lmfdb_iso': '14490.bx', 'p': 89, 'prec': 20, 'unit': 2276212787569094225705761046096008202, 'val': 1}
  • id: 647094
    {'lmfdb_iso': '14490.bx', 'p': 97, 'prec': 20, 'unit': 24437688411302278612983529417505609564, 'val': 1}