Elliptic curve data - 450528.bc2

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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': '450528bc', 'Clabel': '450528bc4', 'Cnumber': 4, 'abc_quality': 1.069422794221752, 'absD': 148599971821596672, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [0, 1, 0, -133329, -2718945], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 450528, 'degree': 4644864, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9849358319326016004000966648', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [1360251712, 771147], 'lmfdb_iso': '450528.bc', 'lmfdb_label': '450528.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -369, 513], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '76.12.0.?', '104.12.0.?', '228.24.0.?', '312.24.0.?', '1976.24.0.?', '5928.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3940438514671105491243905143', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1083], [3, 4, 150176], [13, 14, 34656], [19, 182, 1248]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18043083821056393902164917260', 'prec': 107}, 'szpiro_ratio': 3.6115149636300368, '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, 1, 0, -2, 0, 0, 0, 1, 0, 4, 0, -1, 0, -2, 0, -6, 0, 0, 0], 'aplist': [0, 1, -2, 0, 4, -1, -6, 0, 8, -2, -8, 10, -6, -4, 0, 14, 12, -10, 8, 0, -14, 4, 4, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 450528, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '450528.bc', 'trace_hash': 268135981853371037}
• 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': '0.018875855434041314078585646165', 'prec': 107}, 'conductor': 450528, 'gens': [[-211, 4008, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3940438514671105491243905143', 'prec': 100}], 'lmfdb_label': '450528.bc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26962335547977782311002148955', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7261612170257598113661812644742695664', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-355, 0, 1]], 'xcoord_integral_points': [-355, -211]}
• lmfdb_label 450528.bc2 does not appear in ec_iwasawa
• lmfdb_label 450528.bc2 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: 11120377
    {'conductor': 450528, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '450528.bc2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11120378
    {'conductor': 450528, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '450528.bc2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 11120379
    {'conductor': 450528, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '450528.bc2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11120380
    {'conductor': 450528, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '450528.bc2', 'prime': 19, 'reduction_type': 0, '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: 4437758
    {'adelic_gens': [[4580, 2185, 4807, 4998], [1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 5922, 5923], [1, 4, 4, 17], [5112, 3401, 4009, 3060], [2699, 5814, 5738, 5891], [5921, 8, 5920, 9], [457, 5624, 4636, 4713], [2183, 0, 0, 5927]], 'adelic_image': '5928.48.0.?', 'conductor': 450528, 'lmfdb_label': '450528.bc2', 'prime': 0}
  • id: 1507017
    {'conductor': 450528, 'elladic_image': '4.6.0.1', 'lmfdb_label': '450528.bc2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 450528.bc does not appear in ec_padic