Elliptic curve data - 20286.v1

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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': '20286k', 'Clabel': '20286k1', 'Cnumber': 1, 'abc_quality': 1.015605131703811, 'absD': 9807794618800910893056, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 3864, 'ainvs': [1, -1, 0, 4603296, 2871489536], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20286, 'degree': 1091328, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9071157602174993644391182098', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1], 'jinv': [13581780628779, 12348030976], 'lmfdb_iso': '20286.v', 'lmfdb_label': '20286.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 93945, -8398531], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['3864.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.493905431289868899519642792', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62372393192493211706366972453', 'prec': 103}, 'szpiro_ratio': 5.811885021357414, '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, 1, 0, 0, -1, 0, -1, 0, 0, 3, 0, 0, 1, 2, 0, -4, 1], 'aplist': [-1, 0, 1, 0, 0, 3, 2, -4, 1, -1, 6, -1, 3, -7, -9, 4, -14, -4, 12, 16, -4, -2, 0, 6, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 20286, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20286.v', 'trace_hash': 2291652246657944921}
• 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': '0.0029847731835499872209257734116', 'prec': 110}, 'conductor': 20286, 'gens': [[-614309, 3480209279, 45]], 'heights': [{'__RealLiteral__': 0, 'data': '12.493905431289868899519642792', 'prec': 100}], 'lmfdb_label': '20286.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.084315807754967959730912301252', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2137349138135465588763073008960225417', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [5, 0], '7': 'a', '11': [1, 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': '20286.v1'}
• ec_torsion_growth •

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

  
  
  • id: 1036500
    {'degree': 3, 'field': [24, 0, -1, 1], 'lmfdb_label': '20286.v1', 'torsion': [2]}
  • id: 1036501
    {'degree': 6, 'field': [7056, 2016, 942, 144, 25, -2, 1], 'lmfdb_label': '20286.v1', 'torsion': [2, 2]}
  • id: 1036502
    {'degree': 8, 'field': [44, -179, 182, -7, 7, -7, 7, -4, 1], 'lmfdb_label': '20286.v1', 'torsion': [3]}
  • id: 1036503
    {'degree': 12, 'field': [489532, 1779740, 3716340, 2134906, -1133717, 63948, 60802, -15570, -603, 32, 118, -6, 1], 'lmfdb_label': '20286.v1', '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: 460338
    {'conductor': 20286, 'conductor_valuation': 1, 'discriminant_valuation': 29, 'j_denominator_valuation': 29, 'kodaira_symbol': 33, 'lmfdb_label': '20286.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 460339
    {'conductor': 20286, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '20286.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 460340
    {'conductor': 20286, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '20286.v1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 460341
    {'conductor': 20286, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '20286.v1', '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

  
  {'adelic_gens': [[1, 0, 2, 1], [1, 2, 0, 1], [2761, 2, 2761, 3], [1933, 2, 1933, 3], [3863, 2, 3862, 3], [1289, 2, 1289, 3], [1, 1, 3863, 0], [967, 2, 0, 1], [2857, 2, 2857, 3]], 'adelic_image': '3864.2.0.?', 'conductor': 20286, 'lmfdb_label': '20286.v1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 942617
    {'lmfdb_iso': '20286.v', 'p': 5, 'prec': 20, 'unit': 13656725710258, 'val': 1}
  • id: 942623
    {'lmfdb_iso': '20286.v', 'p': 13, 'prec': 20, 'unit': 394401998195844604124, 'val': 1}
  • id: 942625
    {'lmfdb_iso': '20286.v', 'p': 17, 'prec': 20, 'unit': 89738041998714012947220, 'val': 1}
  • id: 942626
    {'lmfdb_iso': '20286.v', 'p': 19, 'prec': 20, 'unit': 1133647043504156612642195, 'val': 1}
  • id: 942622
    {'lmfdb_iso': '20286.v', 'p': 29, 'prec': 20, 'unit': 2908047080436116896816496789, 'val': 1}
  • id: 942619
    {'lmfdb_iso': '20286.v', 'p': 31, 'prec': 20, 'unit': 7883765420972212329262133966, 'val': 1}
  • id: 942633
    {'lmfdb_iso': '20286.v', 'p': 37, 'prec': 20, 'unit': 108294265619240575105480936066, 'val': 1}
  • id: 942620
    {'lmfdb_iso': '20286.v', 'p': 41, 'prec': 20, 'unit': 1919945822742384238330597633185, 'val': 1}
  • id: 942621
    {'lmfdb_iso': '20286.v', 'p': 43, 'prec': 20, 'unit': 1450707873910659363788453057784, 'val': 1}
  • id: 942631
    {'lmfdb_iso': '20286.v', 'p': 47, 'prec': 20, 'unit': 30189001217075565705186390825109, 'val': 1}
  • id: 942627
    {'lmfdb_iso': '20286.v', 'p': 53, 'prec': 20, 'unit': 37270780261616719277396976671923, 'val': 1}
  • id: 942628
    {'lmfdb_iso': '20286.v', 'p': 59, 'prec': 20, 'unit': 651353179538258277696768762879401, 'val': 1}
  • id: 942632
    {'lmfdb_iso': '20286.v', 'p': 61, 'prec': 20, 'unit': 3852623652830264330598282622885945, 'val': 1}
  • id: 942616
    {'lmfdb_iso': '20286.v', 'p': 67, 'prec': 20, 'unit': 20782624483760173530497816024458858, 'val': 1}
  • id: 942618
    {'lmfdb_iso': '20286.v', 'p': 71, 'prec': 20, 'unit': 41214391424791154868936049593817137, 'val': 1}
  • id: 942629
    {'lmfdb_iso': '20286.v', 'p': 73, 'prec': 20, 'unit': 176704229880739595836604419099198773, 'val': 1}
  • id: 942624
    {'lmfdb_iso': '20286.v', 'p': 79, 'prec': 20, 'unit': 947138551427315317360148228831215207, 'val': 1}
  • id: 942630
    {'lmfdb_iso': '20286.v', 'p': 89, 'prec': 20, 'unit': 10601531554950288841673657767261296577, 'val': 1}
  • id: 942615
    {'lmfdb_iso': '20286.v', 'p': 97, 'prec': 20, 'unit': 30445293991404431263673003887579850003, 'val': 1}