Elliptic curve data - 18240.bz2

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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': '18240ba', 'Clabel': '18240ba1', 'Cnumber': 1, 'abc_quality': 0.788354479109591, 'absD': 88719360, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [0, 1, 0, -81, -561], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 18240, 'degree': 6144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21683835471890873850849858484', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [-3631696, 5415], 'lmfdb_iso': '18240.bz', 'lmfdb_label': '18240.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20, -60], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], '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, 'serre_invariants': [[2, 2, 15], [3, 4, 6080], [5, 6, 3648], [19, 20, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59183335593436078914493889019', 'prec': 107}, 'szpiro_ratio': 2.6585129036424666, '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, -6, 0, -4, 0, -1, 0, -2, 0, -1, 0], 'aplist': [0, 1, -1, 2, -6, -4, -2, -1, 4, 0, -8, -8, 0, 2, 4, 14, 0, 14, -8, 8, -2, 0, -12, -8, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 18240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '18240.bz', 'trace_hash': 160726060316510315}
• 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': '0.64812175326517424775767061215', 'prec': 103}, 'conductor': 18240, 'gens': [], 'heights': [], 'lmfdb_label': '18240.bz2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.75473623516488652297057823345', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5094724703297730459411564668898769163', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[11, 0, 1]], 'xcoord_integral_points': [11]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '18240.bz2'}
• ec_torsion_growth •

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

  
  
  • id: 931848
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '18240.bz2', 'torsion': [2, 2]}
  • id: 931849
    {'degree': 4, 'field': [-135, 0, 12, 0, 1], 'lmfdb_label': '18240.bz2', 'torsion': [4]}
  • id: 931852
    {'degree': 8, 'field': [-167088, 0, -25696, 0, 1416, 0, 0, 0, 1], 'lmfdb_label': '18240.bz2', 'torsion': [6]}
  • id: 931851
    {'degree': 8, 'field': [576, 0, -648, 0, 264, 0, -12, 0, 1], 'lmfdb_label': '18240.bz2', 'torsion': [2, 4]}
  • id: 931850
    {'degree': 8, 'field': [3600, 0, 240, 0, 169, 0, -4, 0, 1], 'lmfdb_label': '18240.bz2', 'torsion': [2, 4]}
  • id: 931854
    {'degree': 16, 'field': [1172889, 0, -810084, 0, 5732680, 0, -1945752, 0, 300990, 0, -17612, 0, 132, 0, 0, 0, 1], 'lmfdb_label': '18240.bz2', 'torsion': [2, 6]}
  • id: 931853
    {'degree': 16, 'field': [5760000, 0, 4032000, 0, -7694400, 0, -902400, 0, -181895, 0, -28480, 0, 746, 0, 32, 0, 1], 'lmfdb_label': '18240.bz2', '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: 409024
    {'conductor': 18240, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '18240.bz2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 409025
    {'conductor': 18240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18240.bz2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 409026
    {'conductor': 18240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18240.bz2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 409027
    {'conductor': 18240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18240.bz2', 'prime': 19, '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: 1785589
    {'adelic_gens': [[781, 4, 422, 9], [1, 2, 2, 5], [1, 4, 0, 1], [289, 856, 284, 855], [1137, 4, 1136, 5], [1, 0, 4, 1], [382, 1, 379, 0], [3, 4, 8, 11], [914, 1, 683, 0]], 'adelic_image': '1140.12.0.?', 'conductor': 18240, 'lmfdb_label': '18240.bz2', 'prime': 0}
  • id: 85258
    {'conductor': 18240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '18240.bz2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 18240.bz does not appear in ec_padic