Elliptic curve data - 305184.bu3

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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': '305184bu', 'Clabel': '305184bu1', 'Cnumber': 1, 'abc_quality': 1.0644414171732053, 'absD': 1335539662415982144, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 408, 'ainvs': [0, 1, 0, -5665074, -5191461144], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 305184, 'degree': 9830400, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5338122824850532807973952292', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 46, 'isogeny_degrees': [1, 2], 'jinv': [13015685560572352, 864536409], 'lmfdb_iso': '305184.bu', 'lmfdb_label': '305184.bu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -19602, -1049760], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0.a.1', '24.24.0.f.1', '68.12.0-2.a.1.1', '136.24.0.?', '204.24.0.?', '408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.118258997909911790318253851', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 4, 101728], [5, 2, 101728], [11, 12, 27744], [17, 146, 1056]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77063202017697258596401185953', 'prec': 103}, 'szpiro_ratio': 4.6135574095537795, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 4, 0, 1, 0, -1, 0, -2, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, 1, -2, 4, -1, -2, 0, -4, 0, 6, 4, 2, 6, 4, 8, -6, -12, 10, -4, 0, -10, 12, -12, 10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 305184, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '305184.bu', 'trace_hash': 1935532281670248267}
• 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': '0.0062973613605988108204237185023', 'prec': 110}, 'conductor': 305184, 'gens': [[1435740, 1682715216, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '10.118258997909911790318253851', 'prec': 100}], 'lmfdb_label': '305184.bu3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.097858799208830619240734174804', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9016067561940977016814146534820311905', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-1366, 0, 1], [2748, 0, 1]], 'xcoord_integral_points': [-1383, -1366, 2748]}
• lmfdb_label 305184.bu3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12897995
    {'degree': 4, 'field': [25, 0, 7, 0, 1], 'lmfdb_label': '305184.bu3', 'torsion': [2, 4]}
  • id: 12897993
    {'degree': 4, 'field': [38, 4, -3, -2, 1], 'lmfdb_label': '305184.bu3', 'torsion': [2, 4]}
  • id: 12897994
    {'degree': 4, 'field': [49, 0, -20, 0, 1], 'lmfdb_label': '305184.bu3', 'torsion': [2, 4]}
  • id: 12897996
    {'degree': 8, 'field': [-37503, 12312, 3348, -7656, 2526, -560, -12, 0, 1], 'lmfdb_label': '305184.bu3', 'torsion': [2, 6]}
  • id: 12897997
    {'degree': 16, 'field': [65536, 0, 0, 0, -12544, 0, 0, 0, 2145, 0, 0, 0, -49, 0, 0, 0, 1], 'lmfdb_label': '305184.bu3', 'torsion': [4, 4]}
  • id: 12898000
    {'degree': 16, 'field': [298077, -654660, 1200684, -1329324, 1319212, -967208, 656120, -350796, 175885, -70480, 26548, -7780, 2146, -420, 80, -8, 1], 'lmfdb_label': '305184.bu3', 'torsion': [2, 8]}
  • id: 12897998
    {'degree': 16, 'field': [39873958, -87752928, 90347432, -60049576, 36841184, -11758152, 4020668, -570432, -16667, -6784, 7264, -2968, 514, 32, 4, -8, 1], 'lmfdb_label': '305184.bu3', 'torsion': [2, 8]}
  • id: 12897999
    {'degree': 16, 'field': [43178041, 0, -838343552, 0, 459259612, 0, 22235344, 0, 163642, 0, -54368, 0, 2260, 0, -80, 0, 1], 'lmfdb_label': '305184.bu3', 'torsion': [2, 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: 7558826
    {'conductor': 305184, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '305184.bu3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7558827
    {'conductor': 305184, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '305184.bu3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 7558828
    {'conductor': 305184, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '305184.bu3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7558829
    {'conductor': 305184, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '305184.bu3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3582032
    {'adelic_gens': [[137, 170, 0, 1], [1, 0, 4, 1], [1, 4, 0, 1], [167, 0, 0, 407], [375, 170, 238, 239], [405, 4, 404, 5], [103, 170, 374, 341]], 'adelic_image': '408.48.0.?', 'conductor': 305184, 'lmfdb_label': '305184.bu3', 'prime': 0}
  • id: 1074040
    {'conductor': 305184, 'elladic_image': '8.12.0.4', 'lmfdb_label': '305184.bu3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 305184.bu does not appear in ec_padic