Elliptic curve data - 95139.j2

Formats: - HTML - YAML - JSON - 2024-04-30T05:13:05.753598

• 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': '95139a', 'Clabel': '95139a1', 'Cnumber': 1, 'abc_quality': 1.136673290939488, 'absD': 192156084484353, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [1, -1, 0, -14595, -122032], 'analytic_rank': 0, 'bad_primes': [3, 11, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 95139, 'degree': 362880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4310355826022356235489645804', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [19683, 11], 'lmfdb_iso': '95139.j', 'lmfdb_label': '95139.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2, 0], 'min_quad_twist_disc': 93, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '44.6.0.e.1', '66.6.0.a.1', '132.12.0.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1099172361414197679620515096', 'prec': 103}, 'szpiro_ratio': 3.5225170019748155, '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, 1, 0, -1, 4, 0, -2, -3, 0, 4, -1, 0, 2, -2, 0, -1, 2, 0, -6, -4], 'aplist': [1, 0, 4, -2, -1, 2, 2, -6, 4, -6, 0, 6, 10, -6, 8, 0, -4, 6, 8, 0, 2, 10, 12, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 95139, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '95139.j', 'trace_hash': 2086664132325106905}
• 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': '0.057150269950768317745395948812', 'prec': 107}, 'conductor': 95139, 'gens': [], 'heights': [], 'lmfdb_label': '95139.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.46646783444126855793188822553', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7317426755301484634551058042221740867', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-116, 58, 1]], 'xcoord_integral_points': [-116]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [17, 0], '3': 'a', '11': [0, 0], '31': 'a'}, 'iwp0': 3, 'lmfdb_label': '95139.j2'}
• ec_torsion_growth •

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

  
  
  • id: 4432636
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '95139.j2', 'torsion': [2, 2]}
  • id: 4432637
    {'degree': 4, 'field': [2017, -140, 141, -2, 1], 'lmfdb_label': '95139.j2', 'torsion': [4]}
  • id: 4432640
    {'degree': 8, 'field': [-22399, -14266, -6322, 1251, -429, 75, -2, -2, 1], 'lmfdb_label': '95139.j2', 'torsion': [6]}
  • id: 4432638
    {'degree': 8, 'field': [1072912, 100768, 122908, 12736, 5497, 76, 121, -2, 1], 'lmfdb_label': '95139.j2', 'torsion': [2, 4]}
  • id: 4432639
    {'degree': 8, 'field': [8493136, 695560, -676192, -38510, 18691, 674, -220, -4, 1], 'lmfdb_label': '95139.j2', 'torsion': [2, 4]}
  • id: 4432642
    {'degree': 16, 'field': [268106061, -184151967, 262597530, -155872773, 75567207, 2364024, -38498, -540176, -3222, 108395, -37849, 8742, -1366, -70, 30, -8, 1], 'lmfdb_label': '95139.j2', 'torsion': [2, 6]}
  • id: 4432641
    {'degree': 16, 'field': [2941760644, 0, -334682936, 0, -15781192, 0, 3218476, 0, -6587, 0, -4732, 0, 38, 0, -16, 0, 1], 'lmfdb_label': '95139.j2', '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: 2332156
    {'conductor': 95139, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '95139.j2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2332157
    {'conductor': 95139, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '95139.j2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2332158
    {'conductor': 95139, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '95139.j2', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2290303
    {'adelic_gens': [[1, 2, 2, 5], [92, 1, 43, 0], [37, 100, 32, 99], [3, 4, 8, 11], [26, 1, 119, 0], [1, 4, 0, 1], [129, 4, 128, 5], [1, 0, 4, 1]], 'adelic_image': '132.12.0.?', 'conductor': 95139, 'lmfdb_label': '95139.j2', 'prime': 0}
  • id: 384369
    {'conductor': 95139, 'elladic_image': '2.3.0.1', 'lmfdb_label': '95139.j2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 95139.j does not appear in ec_padic