Elliptic curve data - 4650.bu2

Formats: - HTML - YAML - JSON - 2023-09-25T10:30:28.088787

• 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': '4650bp1', 'Cnumber': 1, 'absD': 1499561164800, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1240, 'ainvs': [1, 0, 0, -1428, 62352], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 4650, 'degree': 7200, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0210367458699717508072231950', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 46, 'isogeny_degrees': [1, 5], 'jinv': [-12882119799145, 59982446592], 'lmfdb_iso': '4650.bu', 'lmfdb_label': '4650.bu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1428, 62352], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '248.2.0.?', '1240.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75279709379762168837376330613', 'prec': 103}, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
• 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': '0.12975937674800855674712053550', 'prec': 103}, 'conductor': 4650, 'gens': [], 'heights': [], 'lmfdb_label': '4650.bu2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.73770335486711753718485095814', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4262201292027052231091057488482800901', 'prec': 130}, 'tamagawa_product': 150, 'torsion_generators': [[48, 300, 1]], 'xcoord_integral_points': [-24, 48]}
• 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.bu2'}
• ec_torsion_growth •

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

  
  
  • id: 242002
    {'degree': 3, 'field': [-30, 5, 0, 1], 'lmfdb_label': '4650.bu2', 'torsion': [10]}
  • id: 242003
    {'degree': 6, 'field': [62, 0, 237, 0, 24, 0, 1], 'lmfdb_label': '4650.bu2', 'torsion': [2, 10]}
  • id: 242004
    {'degree': 8, 'field': [-300, 0, 35, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '4650.bu2', 'torsion': [15]}
  • id: 242005
    {'degree': 12, 'field': [-10800, 82800, -227800, 112000, 25850, 2950, -12525, -3980, -955, -90, 5, 0, 1], 'lmfdb_label': '4650.bu2', 'torsion': [20]}
  • id: 242006
    {'degree': 20, 'field': [820421964574081, 417185426085, -4801351898130, -4796260400830, 421903420010, 788578067087, 4775631715, 5135921180, 44351555, 56688715, 251109774, -1003680, -32385, 39890, -54530, 27593, 70, -35, 15, -5, 1], 'lmfdb_label': '4650.bu2', '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: 88807
    {'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '4650.bu2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 15}
  • id: 88808
    {'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '4650.bu2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 88809
    {'conductor': 4650, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4650.bu2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 88810
    {'conductor': 4650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4650.bu2', 'prime': 31, '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: 1694175
    {'adelic_gens': [[311, 10, 0, 1], [6, 5, 615, 1236], [1231, 10, 1230, 11], [311, 630, 0, 807], [1, 0, 10, 1], [886, 5, 915, 1236], [6, 13, 1185, 1121], [1, 10, 0, 1]], 'adelic_image': '1240.48.1.?', 'conductor': 4650, 'lmfdb_label': '4650.bu2', 'prime': 0}
  • id: 23006
    {'conductor': 4650, 'elladic_image': '5.24.0.1', 'lmfdb_label': '4650.bu2', 'modell_image': '5B.1.1', 'prime': 5}
• lmfdb_iso 4650.bu does not appear in ec_padic