Elliptic curve data - 38088.p1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '38088s', 'Clabel': '38088s2', 'Cnumber': 2, 'abc_quality': 0.8950584960350794, 'absD': 116917674536650752, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [0, 0, 0, -166635, 20367558], 'analytic_rank': 0, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 38088, 'degree': 405504, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9875059160992216448312740884', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [2315250, 529], 'lmfdb_iso': '38088.p', 'lmfdb_label': '38088.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -35, 62], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], '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, 4, 4761], [3, 6, 4232], [23, 288, 72]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76493225171269124656885439064', 'prec': 107}, 'szpiro_ratio': 4.520842620961894, '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, -4, 0, 0, 0, 6, 0, -2, 0, 0, 0, 6, 0, 6, 0], 'aplist': [0, 0, 0, -4, 6, -2, 6, 6, 0, 6, 0, 8, -6, 2, 8, -8, -4, 4, -2, 8, 6, -12, 10, 10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 38088, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '38088.p', 'trace_hash': 774255019441974805}
• 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': '0.018779079295577045071061375945', 'prec': 107}, 'conductor': 38088, 'gens': [], 'heights': [], 'lmfdb_label': '38088.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31275637790826859460157862440', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5020510232661487568126289951725532037', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[138, 0, 1]], 'xcoord_integral_points': [138]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '23': 'a'}, 'iwp0': 3, 'lmfdb_label': '38088.p1'}
• ec_torsion_growth •

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

  
  
  • id: 1881504
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '38088.p1', 'torsion': [2, 2]}
  • id: 1881505
    {'degree': 4, 'field': [72, 0, 9, 0, 1], 'lmfdb_label': '38088.p1', 'torsion': [4]}
  • id: 1881508
    {'degree': 8, 'field': [-750, 2160, 2262, 870, 168, -30, -12, 0, 1], 'lmfdb_label': '38088.p1', 'torsion': [6]}
  • id: 1881506
    {'degree': 8, 'field': [36, 0, -156, 0, 181, 0, 20, 0, 1], 'lmfdb_label': '38088.p1', 'torsion': [2, 4]}
  • id: 1881507
    {'degree': 8, 'field': [478, 4000, -3400, -1160, 481, 116, -34, -4, 1], 'lmfdb_label': '38088.p1', 'torsion': [2, 4]}
  • id: 1881510
    {'degree': 16, 'field': [-9514844, -26134320, -15107848, 1973880, 3529324, 2410560, 672788, 224280, 40924, -8280, -304, 2700, 832, -60, -40, 0, 1], 'lmfdb_label': '38088.p1', 'torsion': [2, 6]}
  • id: 1881509
    {'degree': 16, 'field': [65536, 0, -57344, 0, 137504, 0, -56000, 0, 17644, 0, -1936, 0, 149, 0, 32, 0, 1], 'lmfdb_label': '38088.p1', 'torsion': [8]}
• 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: 899167
    {'conductor': 38088, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '38088.p1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 899168
    {'conductor': 38088, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '38088.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 899169
    {'conductor': 38088, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '38088.p1', 'prime': 23, '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: 1918385
    {'adelic_gens': [[2, 1, 91, 0], [1, 2, 2, 5], [25, 162, 160, 23], [3, 4, 8, 11], [181, 4, 180, 5], [1, 4, 0, 1], [97, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 38088, 'lmfdb_label': '38088.p1', 'prime': 0}
  • id: 167960
    {'conductor': 38088, 'elladic_image': '8.6.0.6', 'lmfdb_label': '38088.p1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 38088.p does not appear in ec_padic