Elliptic curve data - 4560.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4560ba', 'Clabel': '4560ba1', 'Cnumber': 1, 'abc_quality': 1.1025634962200366, 'absD': 14008320, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [0, 1, 0, 0, 180], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4560, 'degree': 1152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.050146647096870232566746478325', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [-1, 3420], 'lmfdb_iso': '4560.bc', 'lmfdb_label': '4560.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, -3], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '190.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64300053346307507685048564313', 'prec': 107}, 'szpiro_ratio': 2.8379419623209428, '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, 1, 0, 2, 0, 1, 0, 0, 0, 6, 0, 1, 0, 8, 0, -1, 0], 'aplist': [0, 1, 1, 2, 0, 6, 8, -1, 4, 2, 2, -2, -12, -4, -12, 10, -6, -14, 12, 8, -10, -14, -2, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 4560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4560.bc', 'trace_hash': 1859678299069801785}
• 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': '0.90457207338889478599598454381', 'prec': 103}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.bc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.7720755592984746979465964473', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5441511185969493958931928945928264644', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-6, 0, 1]], 'xcoord_integral_points': [-6]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '4560.bc2'}
• ec_torsion_growth •

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

  
  
  • id: 238209
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '4560.bc2', 'torsion': [2, 2]}
  • id: 238210
    {'degree': 4, 'field': [-38, -36, -14, 0, 1], 'lmfdb_label': '4560.bc2', 'torsion': [4]}
  • id: 238213
    {'degree': 8, 'field': [-11163, 0, -6472, 0, -366, 0, 0, 0, 1], 'lmfdb_label': '4560.bc2', 'torsion': [6]}
  • id: 238212
    {'degree': 8, 'field': [5616, 9954, 11823, 2850, 271, 190, 17, -2, 1], 'lmfdb_label': '4560.bc2', 'torsion': [2, 4]}
  • id: 238211
    {'degree': 8, 'field': [54756, 0, 4620, 0, 493, 0, 10, 0, 1], 'lmfdb_label': '4560.bc2', 'torsion': [2, 4]}
  • id: 238215
    {'degree': 16, 'field': [11664, 0, 152388, 0, 818460, 0, 515916, 0, 124485, 0, 13124, 0, 498, 0, 0, 0, 1], 'lmfdb_label': '4560.bc2', 'torsion': [2, 6]}
  • id: 238214
    {'degree': 16, 'field': [324900, 0, 0, 0, -217740, 0, -116280, 0, -35339, 0, 68, 0, 774, 0, 68, 0, 1], 'lmfdb_label': '4560.bc2', '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: 87128
    {'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '4560.bc2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 87129
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.bc2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 87130
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.bc2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 87131
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.bc2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1693643
    {'adelic_gens': [[914, 1, 1823, 0], [1, 2, 2, 5], [761, 4, 1522, 9], [289, 1996, 1424, 855], [1562, 1, 359, 0], [1, 4, 0, 1], [2277, 4, 2276, 5], [1141, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2280.12.0.?', 'conductor': 4560, 'lmfdb_label': '4560.bc2', 'prime': 0}
  • id: 22622
    {'conductor': 4560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4560.bc2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 4560.bc does not appear in ec_padic