Elliptic curve data - 18480.bg4

Formats: - HTML - YAML - JSON - 2024-06-06T23:45:55.774262

• 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': '18480cd', 'Clabel': '18480cd3', 'Cnumber': 3, 'abc_quality': 0.9976896458230765, 'absD': 3117660572943544320, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, -1, 0, -407120, -52590720], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 18480, 'degree': 245760, 'elladic_images': ['8.24.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2457105714967120154183911534', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1821931919215868881, 761147600816295], 'lmfdb_iso': '18480.bg', 'lmfdb_label': '18480.bg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25445, 821730], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '48.48.0-48.e.1.23', '56.48.0-56.bu.2.2', '220.24.0.?', '336.96.0.?', '440.48.0.?', '2640.96.0.?', '3080.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5525633909367667060011590319', 'prec': 100}, 'szpiro_ratio': 5.126416670823529, '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, -1, 0, 1, 0, 1, 0, -2, 0, -1, 0, 2, 0, -4, 0], 'aplist': [0, -1, 1, -1, 1, -2, 2, -4, 0, 6, 0, 6, -6, 4, 0, -2, -4, 6, -12, 0, 10, -8, 4, 10, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 18480, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '18480.bg', 'trace_hash': 1052640923995631127}
• 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': '0.011204708995763783669574059265', 'prec': 107}, 'conductor': 18480, 'gens': [], 'heights': [], 'lmfdb_label': '18480.bg4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19614511712875338799138861157', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5691609370300271039311088925701701852', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-559, 0, 1]], 'xcoord_integral_points': [-559]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '7': [0, 0], '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '18480.bg4'}
• ec_torsion_growth •

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

  
  
  • id: 946930
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [2, 2]}
  • id: 946932
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [4]}
  • id: 946931
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '18480.bg4', 'torsion': [4]}
  • id: 946933
    {'degree': 4, 'field': [-2695, 0, 0, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [2, 4]}
  • id: 946936
    {'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [8]}
  • id: 946934
    {'degree': 4, 'field': [196, 0, -27, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [2, 4]}
  • id: 946935
    {'degree': 4, 'field': [220, 0, 0, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [8]}
  • id: 946937
    {'degree': 4, 'field': [9216, 0, 193, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [8]}
  • id: 946941
    {'degree': 8, 'field': [-9747, 0, -2880, 0, -198, 0, 9, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [6]}
  • id: 946940
    {'degree': 8, 'field': [2916, 0, 664, 0, -104, 0, 4, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [2, 8]}
  • id: 946939
    {'degree': 8, 'field': [57744, 11448, -10438, -1974, 873, 134, -40, -4, 1], 'lmfdb_label': '18480.bg4', 'torsion': [2, 8]}
  • id: 946938
    {'degree': 8, 'field': [7257636, 0, 32344, 0, -5384, 0, 4, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [4, 4]}
  • id: 946949
    {'degree': 16, 'field': [11025, 0, -17100, 0, 13800, 0, -4529, 0, 152, 0, 241, 0, -59, 0, 2, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [12]}
  • id: 946943
    {'degree': 16, 'field': [8916196, 0, -4965288, 0, 1101120, 0, 134292, 0, 39109, 0, -912, 0, -150, 0, -12, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [4, 8]}
  • id: 946942
    {'degree': 16, 'field': [22127616, 0, -7469299712, 0, -972385792, 0, -63924224, 0, 2602880, 0, -153664, 0, 5488, 0, -112, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [2, 8]}
  • id: 946948
    {'degree': 16, 'field': [297666009, 0, 121808367, 0, 30194455, 0, 4534434, 0, 441975, 0, 23406, 0, 558, 0, 0, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [12]}
  • id: 946947
    {'degree': 16, 'field': [983888689, 0, -725141528, 0, 217619440, 0, -32616801, 0, 2735640, 0, -147039, 0, 5233, 0, -110, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [2, 6]}
  • id: 946944
    {'degree': 16, 'field': [1859334400, 0, 0, 0, -1034017600, 0, 0, 0, 2049160740, 0, 0, 0, -23980, 0, 0, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [16]}
  • id: 946945
    {'degree': 16, 'field': [21970650625, 0, 4793596500, 0, 517749925, 0, 36899940, 0, 248136, 0, -95844, 0, 3493, 0, -84, 0, 1], 'lmfdb_label': '18480.bg4', 'torsion': [16]}
  • id: 946946
    {'degree': 16, 'field': [926831723841, 28714116546, 444795138, 31018532904, 72457890138, 11893080546, 852738480, -276571110, 115182811, 9318450, 617760, -195486, 32138, 216, 18, -6, 1], 'lmfdb_label': '18480.bg4', 'torsion': [16]}
• 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: 416310
    {'conductor': 18480, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '18480.bg4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 416311
    {'conductor': 18480, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '18480.bg4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 416312
    {'conductor': 18480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18480.bg4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 416313
    {'conductor': 18480, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18480.bg4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 416314
    {'conductor': 18480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18480.bg4', 'prime': 11, '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: 1787322
    {'adelic_gens': [[1, 16, 13868, 13989], [1, 16, 0, 1], [18465, 16, 18464, 17], [13213, 16, 15584, 18165], [15, 2, 18382, 18467], [3376, 5, 6675, 18466], [5, 4, 18476, 18477], [1, 0, 16, 1], [3712, 5, 18435, 18466], [6161, 16, 12328, 129], [11542, 13849, 7013, 9354]], 'adelic_image': '18480.192.1.?', 'conductor': 18480, 'lmfdb_label': '18480.bg4', 'prime': 0}
  • id: 86390
    {'conductor': 18480, 'elladic_image': '8.24.0.55', 'lmfdb_label': '18480.bg4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 18480.bg does not appear in ec_padic