Elliptic curve data - 162576.h2

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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': '162576f', 'Clabel': '162576f2', 'Cnumber': 2, 'abc_quality': 0.85010566774242, 'absD': 45672691580928, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 13548, 'ainvs': [0, 0, 0, 5829, -276374], 'analytic_rank': 1, 'bad_primes': [2, 3, 1129], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 162576, 'degree': 294912, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3053816089874081852142916924', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [7335308807, 15295692], 'lmfdb_iso': '162576.h', 'lmfdb_label': '162576.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 41, -143], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '4516.6.0.?', '13548.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9429213288197095252227583891', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 18064], [1129, 1130, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.062928284093408030099436952480', 'prec': 107}, 'szpiro_ratio': 3.215475031884728, '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, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -4, 0, 0, 0], 'aplist': [0, 0, -2, 0, 2, -2, -4, 0, -4, 0, 4, 10, 12, -4, -12, 10, 6, -6, -16, 0, -10, 8, 6, -8, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 162576, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '162576.h', 'trace_hash': 631803914386431051}
• 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': '0.073478442289037162069085737725', 'prec': 107}, 'conductor': 162576, 'gens': [[263, 4410, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9429213288197095252227583891', 'prec': 100}], 'lmfdb_label': '162576.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33235735673090316550360106418', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2418356425776757562281682910023291137', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[38, 0, 1]], 'xcoord_integral_points': [38, 263]}
• lmfdb_label 162576.h2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7264925
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '162576.h2', 'torsion': [2, 2]}
  • id: 7264926
    {'degree': 4, 'field': [-192, 0, 19, 0, 1], 'lmfdb_label': '162576.h2', 'torsion': [4]}
  • id: 7264929
    {'degree': 8, 'field': [-432, 0, 228, 0, 72, 0, 0, 0, 1], 'lmfdb_label': '162576.h2', 'torsion': [6]}
  • id: 7264928
    {'degree': 8, 'field': [36864, 0, 3648, 0, 553, 0, -19, 0, 1], 'lmfdb_label': '162576.h2', 'torsion': [2, 4]}
  • id: 7264927
    {'degree': 8, 'field': [670761, 0, -84132, 0, 4467, 0, -108, 0, 1], 'lmfdb_label': '162576.h2', 'torsion': [2, 4]}
  • id: 7264931
    {'degree': 16, 'field': [186624, 0, 98496, 0, 83088, 0, -16416, 0, 5616, 0, 456, 0, -72, 0, 0, 0, 1], 'lmfdb_label': '162576.h2', 'torsion': [2, 6]}
  • id: 7264930
    {'degree': 16, 'field': [46988365824, 0, -55798684416, 0, -12706718876, 0, 121927484, 0, 13574969, 0, 476900, 0, 10922, 0, 152, 0, 1], 'lmfdb_label': '162576.h2', '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: 4023645
    {'conductor': 162576, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '162576.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4023646
    {'conductor': 162576, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '162576.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4023647
    {'conductor': 162576, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '162576.h2', 'prime': 1129, '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: 2715376
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [3389, 10162, 10160, 3387], [1, 2, 2, 5], [2269, 4, 4538, 9], [1, 4, 0, 1], [13545, 4, 13544, 5], [9034, 1, 9031, 0]], 'adelic_image': '13548.12.0.?', 'conductor': 162576, 'lmfdb_label': '162576.h2', 'prime': 0}
  • id: 618362
    {'conductor': 162576, 'elladic_image': '2.3.0.1', 'lmfdb_label': '162576.h2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162576.h does not appear in ec_padic