Elliptic curve data - 43560.be1

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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': '43560ca', 'Clabel': '43560ca4', 'Cnumber': 4, 'abc_quality': 1.07876989573691, 'absD': 78275593569507345792000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -34325643, -76226878442], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 43560, 'degree': 5898240, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1894321979241913448584096116', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [3382175663521924, 59189241375], 'lmfdb_iso': '43560.be', 'lmfdb_label': '43560.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -31520, -2131632], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0.z.1', '88.12.0.?', '120.24.0.?', '220.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], '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, 2, 5445], [3, 8, 968], [5, 6, 8712], [11, 72, 360]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86355576672433013594878843628', 'prec': 103}, 'szpiro_ratio': 5.96034835393031, '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, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, 4, 0, 6, -2, 4, 8, 6, 0, -2, 2, 8, 0, 2, -4, 10, 12, 16, -6, -8, -16, -10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 43560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '43560.be', 'trace_hash': 1141625051330744236}
• 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': '0.0016970490387167152576281198986', 'prec': 110}, 'conductor': 43560, 'gens': [], 'heights': [], 'lmfdb_label': '43560.be1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.062439014529013923514706636969', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9960969298568911049412247660047343973', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-3718, 0, 1]], 'xcoord_integral_points': [-3718]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '43560.be1'}
• ec_torsion_growth •

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

  
  
  • id: 2134656
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [2, 2]}
  • id: 2134657
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '43560.be1', 'torsion': [4]}
  • id: 2134658
    {'degree': 2, 'field': [165, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [4]}
  • id: 2134659
    {'degree': 4, 'field': [3025, 0, 55, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [2, 4]}
  • id: 2134663
    {'degree': 8, 'field': [-3267, 0, 264, 0, -198, 0, 0, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [6]}
  • id: 2134660
    {'degree': 8, 'field': [141, 138, -164, 54, -31, 2, 4, -4, 1], 'lmfdb_label': '43560.be1', 'torsion': [2, 4]}
  • id: 2134661
    {'degree': 8, 'field': [48400, 0, -4840, 0, 264, 0, -22, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [8]}
  • id: 2134662
    {'degree': 8, 'field': [87025, 0, 9500, 0, 555, 0, 20, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [8]}
  • id: 2134667
    {'degree': 16, 'field': [-223344, 1107744, -688864, 48576, -3324992, 6388976, -4615344, 1397248, -325272, 218664, -40752, -5248, -3444, -188, 44, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [2, 6]}
  • id: 2134664
    {'degree': 16, 'field': [38416, -5488, 392, -19656, 5128, -2924, 5394, -1918, 873, -646, 456, -182, 43, -12, 8, -4, 1], 'lmfdb_label': '43560.be1', 'torsion': [4, 4]}
  • id: 2134668
    {'degree': 16, 'field': [320787, 1247832, 2071728, 2121696, 1545744, 808272, 361386, 133200, 43665, 8832, 1042, -504, -186, -64, -6, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [12]}
  • id: 2134665
    {'degree': 16, 'field': [390625, 0, 625000, 0, 753125, 0, 345000, 0, 115400, 0, 13800, 0, 1205, 0, 40, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [2, 8]}
  • id: 2134666
    {'degree': 16, 'field': [96059601, 0, 47436840, 0, 17280373, 0, 3034680, 0, 383328, 0, -9680, 0, -627, 0, 0, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [2, 8]}
  • id: 2134669
    {'degree': 16, 'field': [8789062500, 0, 324375000, 0, -38187500, 0, 8962500, 0, 1042500, 0, 16000, 0, -1200, 0, 0, 0, 1], 'lmfdb_label': '43560.be1', 'torsion': [12]}
• 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: 1035485
    {'conductor': 43560, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '43560.be1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1035486
    {'conductor': 43560, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '43560.be1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1035487
    {'conductor': 43560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '43560.be1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1035488
    {'conductor': 43560, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '43560.be1', 'prime': 11, '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: 1954486
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [496, 723, 939, 88], [499, 498, 618, 835], [976, 3, 885, 442], [476, 879, 537, 434], [1313, 8, 1312, 9], [439, 0, 0, 1319], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 43560, 'lmfdb_label': '43560.be1', 'prime': 0}
  • id: 189752
    {'conductor': 43560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '43560.be1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 43560.be does not appear in ec_padic