Elliptic curve data - 380.b1

Formats: - HTML - YAML - JSON - 2023-03-21T14:40:04.165204

• 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': '380b', 'Clabel': '380b1', 'Cnumber': 1, 'absD': 6516050000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, -1, 0, -921, 10346], 'analytic_rank': 0, 'bad_primes': [2, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 380, 'degree': 240, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62837344719942831334375604364', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [5405726654464, 407253125], 'lmfdb_iso': '380.b', 'lmfdb_label': '380.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -921, 10346], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '4.6.0.3', '10.6.0.1', '20.24.0.44', '152.12.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39732438701277987687134533649', 'prec': 103}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 2, 0, -1, 0, 2, 0, 1, 0, 0, 0, 6, 0, -2, 0, 2, 0, -1, 0], 'aplist': [0, 2, -1, 2, 0, 6, 2, -1, -2, -2, 4, -10, -10, 6, -6, 6, -4, 2, -2, 12, -6, 8, -2, 2, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 380, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '380.b', 'trace_hash': 639434799746377818}
• 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': '0.28457828554320329714104802057', 'prec': 103}, 'conductor': 380, 'gens': [], 'heights': [], 'lmfdb_label': '380.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3073814431474424852845201758', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9610721647211637279267802636556844782', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [[14, 0, 1]], 'xcoord_integral_points': [14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [0, 0], '19': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '380.b1'}
• ec_torsion_growth •

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

  
  
  • id: 16487
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '380.b1', 'torsion': [2, 2]}
  • id: 16488
    {'degree': 4, 'field': [2, 0, 0, -2, 1], 'lmfdb_label': '380.b1', 'torsion': [4]}
  • id: 16491
    {'degree': 8, 'field': [-22, -155, 182, -55, 31, -7, 7, -4, 1], 'lmfdb_label': '380.b1', 'torsion': [6]}
  • id: 16489
    {'degree': 8, 'field': [-4, 16, -16, -8, 14, 4, -4, -2, 1], 'lmfdb_label': '380.b1', 'torsion': [2, 4]}
  • id: 16490
    {'degree': 8, 'field': [1, -2, 2, 2, -2, 2, 2, -2, 1], 'lmfdb_label': '380.b1', 'torsion': [2, 4]}
  • id: 16494
    {'degree': 16, 'field': [-180, 720, 936, 1020, -1320, 1398, -2377, 1784, -1355, 900, -413, 172, -43, 0, 5, -4, 1], 'lmfdb_label': '380.b1', 'torsion': [2, 6]}
  • id: 16492
    {'degree': 16, 'field': [1, -6, 18, -36, 47, -30, -18, 72, -95, 72, -18, -30, 47, -36, 18, -6, 1], 'lmfdb_label': '380.b1', 'torsion': [4, 4]}
  • id: 16493
    {'degree': 16, 'field': [280900, 0, -168000, 0, 845160, 0, -146880, 0, 8136, 0, -3184, 0, 436, 0, -16, 0, 1], 'lmfdb_label': '380.b1', 'torsion': [8]}
• 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: 3828
    {'conductor': 380, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '380.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3829
    {'conductor': 380, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '380.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3830
    {'conductor': 380, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '380.b1', 'prime': 19, '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

  
  
  • id: 1667412
    {'adelic_gens': [[577, 6, 754, 755], [753, 8, 752, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [381, 8, 0, 1], [3, 8, 28, 75], [616, 3, 5, 2], [5, 8, 48, 77], [401, 8, 84, 33]], 'adelic_image': '760.48.0.?', 'conductor': 380, 'lmfdb_label': '380.b1', 'prime': 0}
  • id: 1596
    {'conductor': 380, 'elladic_image': '4.6.0.3', 'lmfdb_label': '380.b1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 380.b does not appear in ec_padic