Elliptic curve data - 32487.a1

Formats: - HTML - YAML - JSON - 2023-03-21T14:22:12.545049

• 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': '32487i', 'Clabel': '32487i1', 'Cnumber': 1, 'absD': 4706051648571, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 182, 'ainvs': [0, -1, 1, -702, 104852], 'analytic_rank': 2, 'bad_primes': [3, 7, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 32487, 'degree': 105984, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1111144493925204616629758621', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-325660672, 40000779], 'lmfdb_iso': '32487.a', 'lmfdb_label': '32487.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -14, -310], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['1.1.0.1', '182.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 32, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.099161187770099366668695682584', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13815937486486380911029949038', '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, -2, -1, 2, -3, 2, 0, 0, 1, 6, -6, -2, 1, 0, 3, -4, 1, -2, 1, -6], 'aplist': [-2, -1, -3, 0, -6, 1, 1, 1, -5, -1, -1, 2, 6, -5, -7, 5, -4, -10, -8, -10, -7, -11, 9, 5, 13], 'class_deg': 1, 'class_size': 1, 'conductor': 32487, 'isogeny_matrix': [[1]], 'lmfdb_iso': '32487.a', 'trace_hash': 1295265223762678770}
• 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': '0.10836729969839662234643404679', 'prec': 103}, 'conductor': 32487, 'gens': [[96, 955, 1], [47, 416, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.16363152227611104561417852688', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.62143516255980567073602138201', 'prec': 103}], 'lmfdb_label': '32487.a1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.63291503084419577836096063563', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0125090983708574328419968009627483267', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [], 'xcoord_integral_points': [-51, -44, -21, -8, 5, 30, 44, 47, 96, 161, 537, 642, 1860, 2504, 2631, 73351]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [23, 8, 0], '3': [2, 0], '5': [2, 0], '7': 'a', '11': [2, 0], '13': [3, 0], '17': [3, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '32487.a1'}
• ec_torsion_growth •

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

  
  
  • id: 1617273
    {'degree': 3, 'field': [-2, 4, 0, 1], 'lmfdb_label': '32487.a1', 'torsion': [2]}
  • id: 1617274
    {'degree': 6, 'field': [9, -33, 44, -23, 14, -3, 1], 'lmfdb_label': '32487.a1', 'torsion': [2, 2]}
  • id: 1617275
    {'degree': 8, 'field': [-481, -263, 182, 161, -77, -7, 7, -4, 1], 'lmfdb_label': '32487.a1', 'torsion': [3]}
  • id: 1617276
    {'degree': 12, 'field': [-47613, -37006, 29760, 3308, -7649, 6112, -1452, 580, -241, 50, 0, -4, 1], 'lmfdb_label': '32487.a1', '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: 759834
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '32487.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 759835
    {'conductor': 32487, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '32487.a1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 759836
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '32487.a1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 759837
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '32487.a1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• 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': [[181, 2, 180, 3], [1, 1, 181, 0], [1, 2, 0, 1], [1, 0, 2, 1], [15, 2, 15, 3], [157, 2, 157, 3]], 'adelic_image': '182.2.0.?', 'conductor': 32487, 'lmfdb_label': '32487.a1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1583749
    {'lmfdb_iso': '32487.a', 'p': 5, 'prec': 20, 'unit': 8132371547836, 'val': 2}
  • id: 1583756
    {'lmfdb_iso': '32487.a', 'p': 11, 'prec': 20, 'unit': 4195647331791928019, 'val': 2}
  • id: 1583758
    {'lmfdb_iso': '32487.a', 'p': 19, 'prec': 20, 'unit': 90318504560343024056733, 'val': 0}
  • id: 1583761
    {'lmfdb_iso': '32487.a', 'p': 23, 'prec': 20, 'unit': 49128907302221449932625150, 'val': 2}
  • id: 1583754
    {'lmfdb_iso': '32487.a', 'p': 29, 'prec': 20, 'unit': 3352706717852751473049750834, 'val': 2}
  • id: 1583751
    {'lmfdb_iso': '32487.a', 'p': 31, 'prec': 20, 'unit': 5829418210037070954530066984, 'val': 2}
  • id: 1583765
    {'lmfdb_iso': '32487.a', 'p': 37, 'prec': 20, 'unit': 140071048366998725480239420298, 'val': 2}
  • id: 1583752
    {'lmfdb_iso': '32487.a', 'p': 41, 'prec': 20, 'unit': 1169188236393059268643408678536, 'val': 2}
  • id: 1583753
    {'lmfdb_iso': '32487.a', 'p': 43, 'prec': 20, 'unit': 10607779765838155417302222636555, 'val': 2}
  • id: 1583763
    {'lmfdb_iso': '32487.a', 'p': 47, 'prec': 20, 'unit': 25898722620817872051462195061093, 'val': 2}
  • id: 1583759
    {'lmfdb_iso': '32487.a', 'p': 53, 'prec': 20, 'unit': 367072331608641030417173635549271, 'val': 2}
  • id: 1583757
    {'lmfdb_iso': '32487.a', 'p': 59, 'prec': 20, 'unit': 4398079903820490586135094191219026, 'val': 2}
  • id: 1583764
    {'lmfdb_iso': '32487.a', 'p': 61, 'prec': 20, 'unit': 8082276776151658420607840680327655, 'val': 2}
  • id: 1583748
    {'lmfdb_iso': '32487.a', 'p': 67, 'prec': 20, 'unit': 20684222650763924443652612641843952, 'val': 2}
  • id: 1583750
    {'lmfdb_iso': '32487.a', 'p': 71, 'prec': 20, 'unit': 132376467474448663383370660270603304, 'val': 2}
  • id: 1583760
    {'lmfdb_iso': '32487.a', 'p': 73, 'prec': 20, 'unit': 58734502623064241127077958099125251, 'val': 2}
  • id: 1583755
    {'lmfdb_iso': '32487.a', 'p': 79, 'prec': 20, 'unit': 253304997162716079696353229165132145, 'val': 2}
  • id: 1583747
    {'lmfdb_iso': '32487.a', 'p': 83, 'prec': 20, 'unit': 1039246893003769930960285210157584483, 'val': 2}
  • id: 1583762
    {'lmfdb_iso': '32487.a', 'p': 89, 'prec': 20, 'unit': 2646182545009314997155811059540395320, 'val': 2}
  • id: 1583746
    {'lmfdb_iso': '32487.a', 'p': 97, 'prec': 20, 'unit': 42688721846483935089099773950978722171, 'val': 2}