Elliptic curve data - 5202.d1

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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': '5202a', 'Clabel': '5202a4', 'Cnumber': 4, 'abc_quality': 1.0684849196783666, 'absD': 849463221880991538, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 408, 'ainvs': [1, -1, 0, -293967, 42466387], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 5202, 'degree': 82944, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1454002144277283995766404287', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [159661140625, 48275138], 'lmfdb_iso': '5202.d', 'lmfdb_label': '5202.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -113, -329], 'min_quad_twist_disc': -51, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '12.24.0-6.a.1.11', '24.48.0-24.y.1.6', '51.8.0-3.a.1.2', '68.6.0.c.1', '102.24.0.?', '136.12.0.?', '204.48.0.?', '408.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2601], [3, 6, 578], [17, 162, 18]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17948739806556551375425050130', 'prec': 103}, 'szpiro_ratio': 5.771699969701766, '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, 0, 0, 4, -1, 0, 0, 6, 0, 2, -4, 0, 1, 0, 0, -4, 0], 'aplist': [-1, 0, 0, 4, 6, 2, 0, -4, 0, 0, 4, 4, 6, 8, 0, 6, 0, 4, 8, 0, -2, -8, 0, 6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 5202, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '5202.d', 'trace_hash': 141924390958580686}
• 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': '0.013693959868803221315278454894', 'prec': 107}, 'conductor': 5202, 'gens': [], 'heights': [], 'lmfdb_label': '5202.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26103672061204227879541864619', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0882937648963382303633491694972786428', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-2413, 2413, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': 'a', '17': 'a'}, 'iwp0': 5, 'lmfdb_label': '5202.d1'}
• ec_torsion_growth •

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

  
  
  • id: 272586
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '5202.d1', 'torsion': [6]}
  • id: 272585
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '5202.d1', 'torsion': [2, 2]}
  • id: 272588
    {'degree': 4, 'field': [2, 12, -11, -2, 1], 'lmfdb_label': '5202.d1', 'torsion': [2, 6]}
  • id: 272587
    {'degree': 4, 'field': [18, 0, 15, 0, 1], 'lmfdb_label': '5202.d1', 'torsion': [12]}
  • id: 272589
    {'degree': 6, 'field': [229, 237, 108, 5, -12, -3, 1], 'lmfdb_label': '5202.d1', 'torsion': [6]}
  • id: 272591
    {'degree': 8, 'field': [361, 0, -90, 0, 98, 0, 6, 0, 1], 'lmfdb_label': '5202.d1', 'torsion': [2, 12]}
  • id: 272590
    {'degree': 8, 'field': [4327, 4204, -1742, -592, 279, 64, -26, -4, 1], 'lmfdb_label': '5202.d1', 'torsion': [2, 4]}
  • id: 272592
    {'degree': 12, 'field': [841, 0, -1953, 0, 3750, 0, -1921, 0, 390, 0, -33, 0, 1], 'lmfdb_label': '5202.d1', 'torsion': [3, 6]}
  • id: 272593
    {'degree': 12, 'field': [67783, 120858, 73725, 31658, 12960, -3522, -4369, -786, 420, 94, -15, -6, 1], 'lmfdb_label': '5202.d1', 'torsion': [2, 6]}
  • id: 272595
    {'degree': 16, 'field': [256, 0, 0, 0, -142272, 0, 0, 0, 13220, 0, 0, 0, -222, 0, 0, 0, 1], 'lmfdb_label': '5202.d1', 'torsion': [2, 12]}
  • id: 272594
    {'degree': 16, 'field': [169744, 0, 332272, 0, 217420, 0, -12976, 0, 2310, 0, 640, 0, 91, 0, 14, 0, 1], 'lmfdb_label': '5202.d1', 'torsion': [24]}
  • id: 272596
    {'degree': 18, 'field': [114176, 1068288, 3216384, 4267328, 1993536, -1215936, -1862608, -570192, 270864, 216772, 16356, -24516, -6014, 1320, 594, -31, -33, 0, 1], 'lmfdb_label': '5202.d1', 'torsion': [18]}
• 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: 101526
    {'conductor': 5202, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5202.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 101527
    {'conductor': 5202, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5202.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 101528
    {'conductor': 5202, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '5202.d1', 'prime': 17, '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: 1698032
    {'adelic_gens': [[10, 3, 177, 400], [27, 88, 398, 77], [397, 12, 396, 13], [1, 0, 12, 1], [11, 2, 358, 399], [1, 6, 6, 37], [1, 12, 0, 1], [271, 396, 68, 407], [167, 396, 186, 335]], 'adelic_image': '408.96.1.?', 'conductor': 5202, 'lmfdb_label': '5202.d1', 'prime': 0}
  • id: 25934
    {'conductor': 5202, 'elladic_image': '8.6.0.6', 'lmfdb_label': '5202.d1', 'modell_image': '2B', 'prime': 2}
  • id: 25935
    {'conductor': 5202, 'elladic_image': '3.4.0.1', 'lmfdb_label': '5202.d1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 5202.d does not appear in ec_padic