Elliptic curve data - 90160.bf1

Formats: - HTML - YAML - JSON - 2025-11-08T15:10:06.191336

• 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': '90160f', 'Clabel': '90160f1', 'Cnumber': 1, 'abc_quality': 0.8450687491334037, 'absD': 127339842249200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 46, 'ainvs': [0, -1, 0, -8836, 633011], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 90160, 'degree': 184320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3972909671628094810191040200', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1], 'jinv': [-40535147776, 67648175], 'lmfdb_iso': '90160.bf', 'lmfdb_label': '90160.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -180, 1897], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['46.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1127], [5, 6, 18032], [7, 32, 1840], [23, 24, 3920]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.19328683244850439199401694112', 'prec': 103}, 'szpiro_ratio': 3.5260847606868815, '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, 0, -1, 0, -1, 0, 0, 0, -2, 0, 2, 0, 1, 0, 1, 0, 2, 0, -2, 0], 'aplist': [0, -1, -1, 0, 2, 1, 2, -2, -1, 5, 5, 8, -5, 10, -1, 0, 4, 8, -8, 1, 7, 14, -6, 14, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 90160, 'isogeny_matrix': [[1]], 'lmfdb_iso': '90160.bf', 'trace_hash': 30874200892242011}
• 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': '0.061140429705280768651502348014', 'prec': 107}, 'conductor': 90160, 'gens': [], 'heights': [], 'lmfdb_label': '90160.bf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.52510240176957048178247963167', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1004096070782819271299185266952031817', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': 'a', '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '90160.bf1'}
• ec_torsion_growth •

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

  
  
  • id: 4214343
    {'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '90160.bf1', 'torsion': [2]}
  • id: 4214344
    {'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '90160.bf1', 'torsion': [2, 2]}
  • id: 4214345
    {'degree': 8, 'field': [-259308, 0, -23324, 0, -1764, 0, 0, 0, 1], 'lmfdb_label': '90160.bf1', 'torsion': [3]}
  • id: 4214346
    {'degree': 12, 'field': [1319705, 2927898, 1547224, 250472, 261477, -44604, 8308, -3520, 2, 26, 12, -6, 1], 'lmfdb_label': '90160.bf1', 'torsion': [4]}
• 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: 2204193
    {'conductor': 90160, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '90160.bf1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2204194
    {'conductor': 90160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90160.bf1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2204195
    {'conductor': 90160, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '90160.bf1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2204196
    {'conductor': 90160, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90160.bf1', 'prime': 23, '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

  
  {'adelic_gens': [[5, 2, 5, 3], [1, 1, 45, 0], [1, 2, 0, 1], [45, 2, 44, 3], [1, 0, 2, 1]], 'adelic_image': '46.2.0.?', 'conductor': 90160, 'lmfdb_label': '90160.bf1', 'prime': 0}
• lmfdb_iso 90160.bf does not appear in ec_padic