Elliptic curve data - 227520.t1

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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': '227520bj', 'Clabel': '227520bj2', 'Cnumber': 2, 'abc_quality': 0.8747225751516784, 'absD': 1509477617664000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3160, 'ainvs': [0, 0, 0, -39468, 2369392], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 227520, 'degree': 786432, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6258075586131466371093770489', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [284630612552, 63190125], 'lmfdb_iso': '227520.t', 'lmfdb_label': '227520.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1096, -10604], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '316.6.0.?', '3160.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 8, 5056], [5, 6, 45504], [79, 80, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21006743857916015464021427862', 'prec': 103}, 'szpiro_ratio': 3.515473257624056, '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, -1, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0], 'aplist': [0, 0, -1, -2, 0, 2, 8, 0, 0, 0, 0, 6, -10, 8, 10, -6, -6, -4, -4, 0, -10, 1, -4, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 227520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '227520.t', 'trace_hash': 693501820538404954}
• 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': '0.038711633486770985445134052712', 'prec': 107}, 'conductor': 227520, 'gens': [], 'heights': [], 'lmfdb_label': '227520.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.45002185227062261200567977740', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8000874090824904480227191096171259031', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[68, 0, 1]], 'xcoord_integral_points': [68]}
• lmfdb_label 227520.t1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9877996
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '227520.t1', 'torsion': [2, 2]}
  • id: 9877997
    {'degree': 4, 'field': [22, -38, 17, -1, 1], 'lmfdb_label': '227520.t1', 'torsion': [4]}
  • id: 9878000
    {'degree': 8, 'field': [-24300, 0, 3672, 0, -540, 0, 0, 0, 1], 'lmfdb_label': '227520.t1', 'torsion': [6]}
  • id: 9877998
    {'degree': 8, 'field': [62224, 31328, -8048, -2776, 639, -50, -5, -2, 1], 'lmfdb_label': '227520.t1', 'torsion': [2, 4]}
  • id: 9877999
    {'degree': 8, 'field': [112225, 0, -13300, 0, -1140, 0, -100, 0, 1], 'lmfdb_label': '227520.t1', 'torsion': [2, 4]}
  • id: 9878002
    {'degree': 16, 'field': [983575044, 0, -588401776, 0, 150713968, 0, -8069304, 0, 22220, 0, -24032, 0, 2964, 0, -100, 0, 1], 'lmfdb_label': '227520.t1', 'torsion': [2, 6]}
  • id: 9878001
    {'degree': 16, 'field': [63729861700, 15005139440, 12783605168, 576513472, 2520561092, -497598800, 136615380, -18898992, 10673413, -1591404, 724182, -70568, 20027, -1064, 230, -4, 1], 'lmfdb_label': '227520.t1', '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: 5642051
    {'conductor': 227520, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '227520.t1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5642052
    {'conductor': 227520, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '227520.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5642053
    {'conductor': 227520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '227520.t1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5642054
    {'conductor': 227520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '227520.t1', 'prime': 79, '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: 3115210
    {'adelic_gens': [[634, 1, 1263, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [161, 4, 322, 9], [1, 4, 0, 1], [2, 1, 1579, 0], [3157, 4, 3156, 5], [1977, 1186, 1184, 1975]], 'adelic_image': '3160.12.0.?', 'conductor': 227520, 'lmfdb_label': '227520.t1', 'prime': 0}
  • id: 831213
    {'conductor': 227520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '227520.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 227520.t does not appear in ec_padic