Elliptic curve data - 4650.bu1

Formats: - HTML - YAML - JSON - 2023-09-25T09:53:12.850831

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4650bp', 'Clabel': '4650bp2', 'Cnumber': 2, 'absD': 20129871796875000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1240, 'ainvs': [1, 0, 0, -59388, -8815608], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 4650, 'degree': 36000, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8257557020870219381076028616', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 46, 'isogeny_degrees': [1, 5], 'jinv': [-2372030262025, 2061298872], 'lmfdb_iso': '4650.bu', 'lmfdb_label': '4650.bu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2375, -71475], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '248.2.0.?', '1240.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48455744172527162594030341725', 'prec': 103}, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 1, 1, 0, 1, 3, 1, 1, 0, -3, 1, -1, 3, 0, 1, -2, 1, 0, 0], 'aplist': [1, 1, 0, 3, -3, -1, -2, 0, 4, 10, 1, 3, 7, -1, -7, 9, 0, 7, -2, 7, 4, -10, 9, 10, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 4650, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '4650.bu', 'trace_hash': 1785682687357183571}
• 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': '0.025951875349601711349424107100', 'prec': 107}, 'conductor': 4650, 'gens': [], 'heights': [], 'lmfdb_label': '4650.bu1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14754067097342350743697019163', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4262201292027052231091057488482800901', 'prec': 130}, 'tamagawa_product': 30, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [3, 0], '5': 'a', '31': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '4650.bu1'}
• ec_torsion_growth •

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

  
  
  • id: 242007
    {'degree': 3, 'field': [-30, 5, 0, 1], 'lmfdb_label': '4650.bu1', 'torsion': [2]}
  • id: 242008
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '4650.bu1', 'torsion': [5]}
  • id: 242009
    {'degree': 5, 'field': [-6, 0, 0, 0, 0, 1], 'lmfdb_label': '4650.bu1', 'torsion': [5]}
  • id: 242010
    {'degree': 6, 'field': [62, 0, 237, 0, 24, 0, 1], 'lmfdb_label': '4650.bu1', 'torsion': [2, 2]}
  • id: 242011
    {'degree': 8, 'field': [-300, 0, 35, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '4650.bu1', 'torsion': [3]}
  • id: 242012
    {'degree': 12, 'field': [-10800, 82800, -227800, 112000, 25850, 2950, -12525, -3980, -955, -90, 5, 0, 1], 'lmfdb_label': '4650.bu1', 'torsion': [4]}
  • id: 242013
    {'degree': 12, 'field': [6480, 0, 0, -3390, 745, 0, 540, -150, 10, -30, 5, 0, 1], 'lmfdb_label': '4650.bu1', 'torsion': [10]}
  • id: 242014
    {'degree': 15, 'field': [-23579034, 22801500, -5953650, 5261400, -2057250, 664733, -342000, 154325, -22950, 10250, -2982, 250, -150, 25, 0, 1], 'lmfdb_label': '4650.bu1', 'torsion': [10]}
  • id: 242015
    {'degree': 20, 'field': [2401, -1715, -2205, 595, 3460, -7753, 1565, 4905, 2780, -6185, 5169, -2555, 590, -135, 95, -97, 70, -35, 15, -5, 1], 'lmfdb_label': '4650.bu1', 'torsion': [5, 5]}
• 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: 88811
    {'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4650.bu1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 88812
    {'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4650.bu1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 88813
    {'conductor': 4650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '4650.bu1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 88814
    {'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '4650.bu1', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

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

  
  
  • id: 1694174
    {'adelic_gens': [[311, 10, 0, 1], [621, 10, 625, 51], [1231, 10, 1230, 11], [1, 0, 10, 1], [307, 610, 1220, 491], [561, 10, 325, 51], [6, 13, 1185, 1121], [1, 10, 0, 1]], 'adelic_image': '1240.48.1.?', 'conductor': 4650, 'lmfdb_label': '4650.bu1', 'prime': 0}
  • id: 23005
    {'conductor': 4650, 'elladic_image': '5.24.0.3', 'lmfdb_label': '4650.bu1', 'modell_image': '5B.1.2', 'prime': 5}
• lmfdb_iso 4650.bu does not appear in ec_padic