Elliptic curve data - 422142.o2

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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': '422142o', 'Clabel': '422142o2', 'Cnumber': 2, 'abc_quality': 0.9241246685961948, 'absD': 199474994683527696, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 36708, 'ainvs': [1, 1, 0, -146279, -1461915], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 422142, 'degree': 4866048, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0091017024172982831902660505', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [2338337977417, 1347477264], 'lmfdb_iso': '422142.o', 'lmfdb_label': '422142.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -276, 0], 'min_quad_twist_disc': -23, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '92.12.0.?', '276.24.0.?', '532.12.0.?', '1596.24.0.?', '12236.24.0.?', '36708.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 529], [3, 4, 140714], [7, 8, 60306], [19, 20, 22218], [23, 288, 798]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44135459445272343778688963460', 'prec': 103}, 'szpiro_ratio': 3.6511288933793846, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, 2, 1, -1, -1, 1, -2, 4, -1, -2, 1, -2, 1, -2, -1, -1, 2], 'aplist': [-1, -1, 2, -1, 4, -2, -2, -1, 0, 2, 0, -2, -6, -4, 0, -6, -4, -2, 4, -8, 10, 8, 8, -10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 422142, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '422142.o', 'trace_hash': 1824313038081356449}
• 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': '0.017985248140755953855712135113', 'prec': 107}, 'conductor': 422142, 'gens': [], 'heights': [], 'lmfdb_label': '422142.o2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26592339727218816798785521779', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0636935890887526719514208711764732833', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-378, 189, 1], [-10, 5, 1]], 'xcoord_integral_points': [-378, -10]}
• lmfdb_label 422142.o2 does not appear in ec_iwasawa
• lmfdb_label 422142.o2 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: 10430078
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '422142.o2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10430079
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.o2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10430080
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.o2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10430081
    {'conductor': 422142, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422142.o2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10430082
    {'conductor': 422142, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '422142.o2', '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: 4273168
    {'adelic_gens': [[24473, 2, 0, 1], [1, 4, 0, 1], [36705, 4, 36704, 5], [31919, 36706, 0, 36707], [18357, 4, 8, 11], [1, 0, 4, 1], [31467, 2, 15730, 36707], [17391, 2, 25114, 36707]], 'adelic_image': '36708.48.0.?', 'conductor': 422142, 'lmfdb_label': '422142.o2', 'prime': 0}
  • id: 1424135
    {'conductor': 422142, 'elladic_image': '2.6.0.1', 'lmfdb_label': '422142.o2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 422142.o does not appear in ec_padic