Elliptic curve data - 438993.b1

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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': '438993b', 'Clabel': '438993b1', 'Cnumber': 1, 'abc_quality': 0.8285597031592442, 'absD': 22721838687, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1374, 'ainvs': [1, -1, 0, -17916, 927539], 'analytic_rank': 0, 'bad_primes': [3, 71, 229], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 438993, 'degree': 931104, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0763050663592262169684540045', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-32312399988051, 1154389], 'lmfdb_iso': '438993.b', 'lmfdb_label': '438993.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1991, -33690], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['1374.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 6183], [3, 2, 16259], [71, 72, 6183], [229, 230, 1917]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25234584985814394842202007681', 'prec': 103}, 'szpiro_ratio': 3.155271797495679, '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, 2, 0, 2, -3, 0, 2, 6, 0, -2, 2, 0, -1, 4, 0, 7, -2], 'aplist': [1, 0, 2, 2, 6, -2, 4, 7, 9, -7, -10, 7, 9, 1, 9, -12, -4, -5, 14, 1, 4, 6, -6, 15, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 438993, 'isogeny_matrix': [[1]], 'lmfdb_iso': '438993.b', 'trace_hash': 678579271127559203}
• 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': '0.11618051510832637883366482512', 'prec': 103}, 'conductor': 438993, 'gens': [], 'heights': [], 'lmfdb_label': '438993.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.1261754739056918198834766409', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7570528434341509193008598451807661004', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 438993.b1 does not appear in ec_iwasawa
• lmfdb_label 438993.b1 does not appear in ec_torsion_growth
• 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: 10839250
    {'conductor': 438993, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '438993.b1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 10839251
    {'conductor': 438993, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '438993.b1', 'prime': 71, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10839252
    {'conductor': 438993, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '438993.b1', 'prime': 229, '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': [[1373, 2, 1372, 3], [235, 2, 235, 3], [1, 0, 2, 1], [1, 2, 0, 1], [917, 2, 917, 3], [1, 1, 1373, 0]], 'adelic_image': '1374.2.0.?', 'conductor': 438993, 'lmfdb_label': '438993.b1', 'prime': 0}
• lmfdb_iso 438993.b does not appear in ec_padic