Elliptic curve data - 422142.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
  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': '422142u', 'Clabel': '422142u1', 'Cnumber': 1, 'abc_quality': 0.8633211368547657, 'absD': 37633869338584806, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 3864, 'ainvs': [1, 0, 1, 28290, 9154462], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 422142, 'degree': 4730880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8611971168971665989488272444', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [16915218263, 254221254], 'lmfdb_iso': '422142.u', 'lmfdb_label': '422142.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 53, -748], 'min_quad_twist_disc': -23, 'modell_images': [], 'modm_images': ['3864.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.30312919730336536200136367270', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 11109], [3, 4, 140714], [7, 8, 20102], [19, 20, 22218], [23, 288, 798]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29345000893259175354545082850', 'prec': 103}, 'szpiro_ratio': 3.519014356324497, '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, 1, 1, -3, -1, -1, -1, 1, 3, 2, 1, -3, 1, -3, 1, 0, -1, -1, -3], 'aplist': [-1, 1, -3, -1, 2, -3, 0, -1, 0, 3, 4, 3, -5, 9, -9, -4, -14, 0, 12, -8, -10, 4, -4, -14, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 422142, 'isogeny_matrix': [[1]], 'lmfdb_iso': '422142.u', 'trace_hash': 1208580404990550942}
• 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': '0.024176015464362734267221325248', 'prec': 107}, 'conductor': 422142, 'gens': [[-94, 2427, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.30312919730336536200136367270', 'prec': 103}], 'lmfdb_label': '422142.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27095906914564033351635650138', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5995938874023614811185223864347949639', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [], 'xcoord_integral_points': [-94, -88, 320, 647402]}
• lmfdb_label 422142.u1 does not appear in ec_iwasawa
• lmfdb_label 422142.u1 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: 10430123
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '422142.u1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10430124
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '422142.u1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 10430125
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '422142.u1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10430126
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.u1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10430127
    {'conductor': 422142, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '422142.u1', '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

  
  {'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': 422142, 'lmfdb_label': '422142.u1', 'prime': 0}
• lmfdb_iso 422142.u does not appear in ec_padic