Elliptic curve data - 140777.g2

Formats: - HTML - YAML - JSON - 2024-04-29T16:05:29.456640

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '140777g', 'Clabel': '140777g2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 164114213839849, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 49504, 'ainvs': [1, -1, 0, -47098, 3897375], 'analytic_rank': 0, 'bad_primes': [7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 140777, 'degree': 331776, 'elladic_images': ['16.48.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5322200420371088849133710275', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '140777.g', 'lmfdb_label': '140777.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': -91, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.f.1', '16.48.0.c.2', '68.24.0.b.1', '136.96.3.?', '272.384.21.?', '364.24.0.?', '544.768.53.?', '728.48.0.?', '1456.96.0.?', '6188.48.0.?', '12376.192.3.?', '24752.768.21.?', '49504.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906500', 'prec': 107}, 'szpiro_ratio': 3.7025578132805754, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 0, -1, -2, 0, 0, -3, -3, -2, 0, 0, 0, 0, 0, -1, -1, -3, -4, 2], 'aplist': [1, 0, -2, 0, 0, 0, -1, -4, 4, 6, 4, 2, -6, 4, 0, 6, -12, 10, -4, 4, -6, 12, -4, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 140777, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '140777.g', 'trace_hash': 857971125128541092}
• 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': '0.046679971408021606166059737792', 'prec': 107}, 'conductor': 140777, 'gens': [], 'heights': [], 'lmfdb_label': '140777.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.57566333661754027322698643414', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1513266732350805464539728682808042510', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-250, 125, 1], [114, -57, 1]], 'xcoord_integral_points': [-250, 114]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '7': 'a', '13': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '140777.g2'}
• ec_torsion_growth •

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

  
  
  • id: 6358176
    {'degree': 4, 'field': [529, 0, -45, 0, 1], 'lmfdb_label': '140777.g2', 'torsion': [2, 4]}
  • id: 6358178
    {'degree': 4, 'field': [729, 0, 37, 0, 1], 'lmfdb_label': '140777.g2', 'torsion': [2, 4]}
  • id: 6358177
    {'degree': 4, 'field': [7478, 190, -189, -2, 1], 'lmfdb_label': '140777.g2', 'torsion': [2, 4]}
  • id: 6358180
    {'degree': 8, 'field': [-802749, -55542, 120477, -3657, -2694, -72, 3, 0, 1], 'lmfdb_label': '140777.g2', 'torsion': [2, 6]}
  • id: 6358179
    {'degree': 8, 'field': [117693, -39222, 42932, -7530, 4041, -334, 116, -4, 1], 'lmfdb_label': '140777.g2', 'torsion': [4, 4]}
  • id: 6358183
    {'degree': 16, 'field': [51612196672, -22513159456, 26387955360, -8110996904, 4979431924, -1166621304, 487560658, -89008380, 27888907, -3934080, 965786, -101156, 19832, -1400, 220, -8, 1], 'lmfdb_label': '140777.g2', 'torsion': [2, 8]}
  • id: 6358181
    {'degree': 16, 'field': [55554579172, -21869204056, 25567541676, -7746046328, 4766562790, -1129282536, 473666530, -87758892, 27566221, -3927600, 964886, -101372, 19868, -1400, 220, -8, 1], 'lmfdb_label': '140777.g2', 'torsion': [2, 8]}
  • id: 6358182
    {'degree': 16, 'field': [3111375713005849, 0, -320716155310860, 0, 13988677365900, 0, -337935251556, 0, 4949388702, 0, -45029012, 0, 248764, 0, -764, 0, 1], 'lmfdb_label': '140777.g2', 'torsion': [2, 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: 3475576
    {'conductor': 140777, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '140777.g2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3475577
    {'conductor': 140777, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '140777.g2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3475578
    {'conductor': 140777, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '140777.g2', '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

  
  
  • id: 2578533
    {'adelic_gens': [[40223, 36582, 24752, 1], [1, 0, 32, 1], [49473, 32, 49472, 33], [1, 32, 0, 1], [42431, 0, 0, 49503], [3807, 0, 0, 49503], [45501, 22932, 18200, 45865], [29, 8, 4252, 1173], [38221, 6552, 23114, 2549], [9, 32, 49448, 49305]], 'adelic_image': '49504.1536.53.?', 'conductor': 140777, 'lmfdb_label': '140777.g2', 'prime': 0}
  • id: 543472
    {'conductor': 140777, 'elladic_image': '16.48.0.20', 'lmfdb_label': '140777.g2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 140777.g does not appear in ec_padic