Elliptic curve data - 14504.d2

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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': '14504a', 'Clabel': '14504a2', 'Cnumber': 2, 'abc_quality': 0.8562892683605199, 'absD': 288622173952, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1036, 'ainvs': [0, 0, 0, 1225, -19894], 'analytic_rank': 0, 'bad_primes': [2, 7, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14504, 'degree': 10752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88461596585626023713855039604', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [6750000, 9583], 'lmfdb_iso': '14504.d', 'lmfdb_label': '14504.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 25, 58], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '148.6.0.?', '1036.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 32, 296], [37, 38, 392]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.55043722904469328835894738999', 'prec': 107}, 'szpiro_ratio': 3.477235171315467, '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, 0, 0, 0, 0, 0, 0, -3, 0, 4, 0, 0, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, 0, 0, 0, 4, 0, 4, -2, -4, 10, 6, -1, 6, 4, 12, -6, 2, -12, -12, -8, -2, -12, 16, -12, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 14504, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14504.d', 'trace_hash': 124864899304328522}
• 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': '0.17046386644747931985080117463', 'prec': 103}, 'conductor': 14504, 'gens': [], 'heights': [], 'lmfdb_label': '14504.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.51724878148702780902565846420', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0689951259481112361026338568032369939', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[14, 0, 1]], 'xcoord_integral_points': [14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '7': 'a', '37': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '14504.d2'}
• ec_torsion_growth •

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

  
  
  • id: 748634
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '14504.d2', 'torsion': [2, 2]}
  • id: 748635
    {'degree': 4, 'field': [-7, 0, 3, 0, 1], 'lmfdb_label': '14504.d2', 'torsion': [4]}
  • id: 748638
    {'degree': 8, 'field': [-147, 0, 84, 0, 42, 0, 0, 0, 1], 'lmfdb_label': '14504.d2', 'torsion': [6]}
  • id: 748636
    {'degree': 8, 'field': [16, 8, -34, -4, 35, -19, 2, -1, 1], 'lmfdb_label': '14504.d2', 'torsion': [2, 4]}
  • id: 748637
    {'degree': 8, 'field': [121, -154, 188, -82, 77, -46, 20, -4, 1], 'lmfdb_label': '14504.d2', 'torsion': [2, 4]}
  • id: 748639
    {'degree': 16, 'field': [67081, 0, -344988, 0, -526214, 0, 13764, 0, 11175, 0, 2196, 0, 290, 0, 24, 0, 1], 'lmfdb_label': '14504.d2', 'torsion': [8]}
  • id: 748640
    {'degree': 16, 'field': [75100, -198760, 184172, 20160, 6776, -4760, -22652, 17064, 1849, -6504, 3976, -1792, 602, -168, 44, -8, 1], 'lmfdb_label': '14504.d2', '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: 319580
    {'conductor': 14504, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '14504.d2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 319581
    {'conductor': 14504, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '14504.d2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 319582
    {'conductor': 14504, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14504.d2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1760617
    {'adelic_gens': [[1, 0, 4, 1], [594, 1, 739, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1033, 4, 1032, 5], [261, 778, 776, 259], [113, 4, 226, 9]], 'adelic_image': '1036.12.0.?', 'conductor': 14504, 'lmfdb_label': '14504.d2', 'prime': 0}
  • id: 68957
    {'conductor': 14504, 'elladic_image': '2.3.0.1', 'lmfdb_label': '14504.d2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 14504.d does not appear in ec_padic