Elliptic curve data - 3600.br1

Formats: - HTML - YAML - JSON - 2023-05-29T15:17:18.569567

• 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': '3600bc', 'Clabel': '3600bc1', 'Cnumber': 1, 'absD': 2764800, 'ainvs': [0, 0, 0, 0, -80], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 3600, 'degree': 576, 'elladic_images': ['5.30.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.085077523628715120290365876295', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '3600.br', 'lmfdb_label': '3600.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 1], 'min_quad_twist_disc': -4, 'modell_images': ['5Ns.2.1'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', '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, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 0, 0, 5, 0, -5, 0, 1, 0, 0, 7, 10, 0, 5, 0, 0, 0, -13, 5, 0, 10, 4, 0, 0, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 3600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '3600.br', 'trace_hash': 981544197663316003}
• 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': '1.1854886438346759434570143199', 'prec': 100}, 'conductor': 3600, 'gens': [], 'heights': [], 'lmfdb_label': '3600.br1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.1699933227494886330692525224', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3399866454989772661385050447893133609', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [2, 0], '23': [0, 0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '3600.br1'}
• ec_torsion_growth •

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

  
  
  • id: 187767
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [3]}
  • id: 187768
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '3600.br1', 'torsion': [2]}
  • id: 187770
    {'degree': 6, 'field': [-135, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [3]}
  • id: 187769
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '3600.br1', 'torsion': [2, 2]}
  • id: 187771
    {'degree': 6, 'field': [9, -12, 15, -10, 5, -2, 1], 'lmfdb_label': '3600.br1', 'torsion': [6]}
  • id: 187772
    {'degree': 8, 'field': [45, 0, 45, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [5]}
  • id: 187773
    {'degree': 12, 'field': [-251, 558, -948, 730, -465, 168, -144, 204, -105, 10, 12, -6, 1], 'lmfdb_label': '3600.br1', 'torsion': [4]}
  • id: 187774
    {'degree': 12, 'field': [36, -36, -54, 150, 15, -156, 151, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '3600.br1', 'torsion': [3, 3]}
  • id: 187776
    {'degree': 12, 'field': [81, -108, 9, 0, 60, -48, 19, -2, -10, 10, -1, -2, 1], 'lmfdb_label': '3600.br1', 'torsion': [2, 6]}
  • id: 187775
    {'degree': 12, 'field': [4725, 0, -9450, 0, 7875, 0, -3240, 0, 675, 0, -45, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [7]}
  • id: 187778
    {'degree': 16, 'field': [1, 0, 27, 0, 133, 0, 39, 0, -75, 0, 24, 0, -2, 0, -3, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [15]}
  • id: 187777
    {'degree': 16, 'field': [2025, 0, 4050, 0, 7425, 0, 6075, 0, 2790, 0, 765, 0, 135, 0, 15, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [5, 5]}
  • id: 187780
    {'degree': 18, 'field': [-216, 0, 0, -648, 0, 0, -860, 0, 0, -360, 0, 0, -50, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [6]}
  • id: 187779
    {'degree': 18, 'field': [125, 0, 0, 0, 0, 0, 14250, 0, 0, 0, 0, 0, 285, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3600.br1', 'torsion': [9]}
• 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: 66279
    {'conductor': 3600, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '3600.br1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 66280
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3600.br1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 66281
    {'conductor': 3600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '3600.br1', 'prime': 5, 'reduction_type': 0, '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

  
  {'conductor': 3600, 'elladic_image': '5.30.0.2', 'lmfdb_label': '3600.br1', 'modell_image': '5Ns.2.1', 'prime': 5}
• lmfdb_iso 3600.br does not appear in ec_padic