Elliptic curve data - 20286.u1

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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': '20286u', 'Clabel': '20286u1', 'Cnumber': 1, 'abc_quality': 0.9471508765726867, 'absD': 8697269251280736, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 3864, 'ainvs': [1, -1, 0, -271224, -54484704], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 20286, 'degree': 138240, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9160392612837987071605811483', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [-25727239787761, 101406816], 'lmfdb_iso': '20286.u', 'lmfdb_label': '20286.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -615, -6147], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['3864.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8617412186791683448634259475', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39377804242208720891028215812', 'prec': 103}, 'szpiro_ratio': 4.95604445987313, '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, 1, 0, 0, 1, 4, 0, -4, 1], 'aplist': [-1, 0, 1, 0, 0, 1, 4, -4, -1, 1, -10, -5, 7, -3, 3, 0, 6, 6, 4, 2, 4, 12, 4, -6, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 20286, 'isogeny_matrix': [[1]], 'lmfdb_iso': '20286.u', 'trace_hash': 1180510549310876186}
• 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': '0.021664538566903076395003952073', 'prec': 107}, 'conductor': 20286, 'gens': [[1171, 34523, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.8617412186791683448634259475', 'prec': 100}], 'lmfdb_label': '20286.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10457671629200986762549461813', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0673994568878535425030990813694538435', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [1171]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 1, 0], '13': [3, 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]}, 'iwp0': 0, 'lmfdb_label': '20286.u1'}
• ec_torsion_growth •

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

  
  
  • id: 1036560
    {'degree': 3, 'field': [24, 0, -1, 1], 'lmfdb_label': '20286.u1', 'torsion': [2]}
  • id: 1036561
    {'degree': 6, 'field': [7056, 2016, 942, 144, 25, -2, 1], 'lmfdb_label': '20286.u1', 'torsion': [2, 2]}
  • id: 1036562
    {'degree': 8, 'field': [-9908, -9289, 4096, 853, -643, -29, 1, -4, 1], 'lmfdb_label': '20286.u1', 'torsion': [3]}
  • id: 1036563
    {'degree': 12, 'field': [-426006, 0, 661983, 0, -201911, 0, 3014, 0, 3036, 0, 107, 0, 1], 'lmfdb_label': '20286.u1', '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: 460386
    {'conductor': 20286, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '20286.u1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 460387
    {'conductor': 20286, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '20286.u1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 460388
    {'conductor': 20286, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '20286.u1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 460389
    {'conductor': 20286, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '20286.u1', '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.u1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 942790
    {'lmfdb_iso': '20286.u', 'p': 5, 'prec': 20, 'unit': 91746640869204, 'val': -1}
  • id: 942796
    {'lmfdb_iso': '20286.u', 'p': 13, 'prec': 20, 'unit': 1049783931711001443384, 'val': 0}
  • id: 942798
    {'lmfdb_iso': '20286.u', 'p': 17, 'prec': 20, 'unit': 60588313799249136252651, 'val': 1}
  • id: 942799
    {'lmfdb_iso': '20286.u', 'p': 19, 'prec': 20, 'unit': 49045664559555763236264, 'val': 1}
  • id: 942795
    {'lmfdb_iso': '20286.u', 'p': 29, 'prec': 20, 'unit': 35238862266910667189487367722, 'val': -1}
  • id: 942792
    {'lmfdb_iso': '20286.u', 'p': 31, 'prec': 20, 'unit': 3482896673026795934013475578, 'val': 1}
  • id: 942805
    {'lmfdb_iso': '20286.u', 'p': 37, 'prec': 20, 'unit': 320368150244617457768560406709, 'val': 1}
  • id: 942793
    {'lmfdb_iso': '20286.u', 'p': 41, 'prec': 20, 'unit': 3860391833794527679330426496829, 'val': 1}
  • id: 942794
    {'lmfdb_iso': '20286.u', 'p': 43, 'prec': 20, 'unit': 9924305844485437447128722811724, 'val': 1}
  • id: 942803
    {'lmfdb_iso': '20286.u', 'p': 47, 'prec': 20, 'unit': 32023220102588769945982379303590, 'val': 1}
  • id: 942800
    {'lmfdb_iso': '20286.u', 'p': 59, 'prec': 20, 'unit': 2080712348680753893840396219207421, 'val': 1}
  • id: 942804
    {'lmfdb_iso': '20286.u', 'p': 61, 'prec': 20, 'unit': 5977920065961568538702343747108854, 'val': 1}
  • id: 942789
    {'lmfdb_iso': '20286.u', 'p': 67, 'prec': 20, 'unit': 5899927770148733490136325219067884, 'val': 1}
  • id: 942791
    {'lmfdb_iso': '20286.u', 'p': 71, 'prec': 20, 'unit': 78170566184260455344093056670160482, 'val': 1}
  • id: 942801
    {'lmfdb_iso': '20286.u', 'p': 73, 'prec': 20, 'unit': 190579975585756648584121436138578877, 'val': 1}
  • id: 942797
    {'lmfdb_iso': '20286.u', 'p': 79, 'prec': 20, 'unit': 364915968024081186701796878655966370, 'val': 1}
  • id: 942788
    {'lmfdb_iso': '20286.u', 'p': 83, 'prec': 20, 'unit': 272962205254191297876274107528469428, 'val': 1}
  • id: 942802
    {'lmfdb_iso': '20286.u', 'p': 89, 'prec': 20, 'unit': 9177396886253253509769940041928746558, 'val': 1}
  • id: 942787
    {'lmfdb_iso': '20286.u', 'p': 97, 'prec': 20, 'unit': 4818580000338061236954218345381644545001, 'val': -1}