Elliptic curve data - 14.a3

Formats: - HTML - YAML - JSON - 2024-04-23T09:44:07.557748

• 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': '14a', 'Clabel': '14a2', 'Cnumber': 2, 'abc_quality': 1.0082122835525031, 'absD': 941192, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, -36, -70], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 2, 'elladic_images': ['8.6.0.6', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026362', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '8.6.0.b.1', '24.144.1-24.h.1.1', '28.6.0.c.1', '56.12.0.k.1', '63.72.0-63.a.1.3', '84.144.1.?', '126.216.2.?', '168.288.5.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026362', 'prec': 107}, 'szpiro_ratio': 8.45906639413832, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, -2, 1, 0, 2, 1, -1, 1, 0, 0, -2, -4, -1, 0, 1, 6, -1, 2, 0], 'aplist': [-1, -2, 0, 1, 0, -4, 6, 2, 0, -6, -4, 2, 6, 8, -12, 6, -6, 8, -4, 0, 2, 8, -6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 14, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '14.a', 'trace_hash': 1459918945821948014}
• 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': '1.3131257027910080932489274844', 'prec': 100}, 'conductor': 14, 'gens': [], 'heights': [], 'lmfdb_label': '14.a3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.9813419560668832341695716767', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.33022365934448053902826194612222809986', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [[-4, 5, 1]], 'xcoord_integral_points': [-4, 10]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 0], '3': [0, 1], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '14.a3'}
• ec_torsion_growth •

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

  
  
  • id: 40
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [2, 6]}
  • id: 41
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '14.a3', 'torsion': [3, 6]}
  • id: 42
    {'degree': 4, 'field': [2, 0, -1, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [12]}
  • id: 43
    {'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [6, 6]}
  • id: 45
    {'degree': 8, 'field': [1, 0, 2, 0, 10, 0, 2, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [2, 12]}
  • id: 44
    {'degree': 8, 'field': [4, 0, -16, 0, 18, 0, -8, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [2, 12]}
  • id: 46
    {'degree': 8, 'field': [4, 0, 2, 0, -1, 0, 1, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [3, 12]}
  • id: 47
    {'degree': 9, 'field': [1, 0, 0, 3, 0, 0, -4, 0, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [18]}
  • id: 50
    {'degree': 16, 'field': [1, 0, -2, 0, -6, 0, -16, 0, 95, 0, -16, 0, -6, 0, -2, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [6, 12]}
  • id: 49
    {'degree': 16, 'field': [16, 0, 64, 0, 184, 0, 224, 0, 192, 0, 112, 0, 46, 0, 8, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [6, 12]}
  • id: 48
    {'degree': 16, 'field': [64, 0, -192, 0, 164, 0, 72, 0, -86, 0, -12, 0, 31, 0, -10, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [24]}
  • id: 54
    {'degree': 18, 'field': [-512, 0, 0, 0, 0, 0, 1088, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [2, 18]}
  • id: 52
    {'degree': 18, 'field': [1, 0, 0, -8, 0, 0, 155, 0, 0, -260, 0, 0, 155, 0, 0, -8, 0, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [3, 18]}
  • id: 51
    {'degree': 18, 'field': [1, 0, 0, -2, 0, 0, 9, 0, 0, -6, 0, 0, 5, 0, 0, -4, 0, 0, 1], 'lmfdb_label': '14.a3', 'torsion': [3, 18]}
  • id: 53
    {'degree': 18, 'field': [7, 21, 21, 36, 48, 30, 25, -6, 30, -73, 99, -138, 151, -132, 114, -80, 36, -9, 1], 'lmfdb_label': '14.a3', 'torsion': [3, 18]}
• 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: 5
    {'conductor': 14, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '14.a3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6
    {'conductor': 14, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '14.a3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1665893
    {'adelic_gens': [[1, 36, 0, 1], [325, 276, 18, 163], [1, 0, 36, 1], [469, 36, 468, 37], [445, 36, 174, 277], [253, 36, 0, 29], [1, 6, 6, 37], [10, 3, 249, 352], [19, 24, 432, 307]], 'adelic_image': '504.864.21.?', 'conductor': 14, 'lmfdb_label': '14.a3', 'prime': 0}
  • id: 7
    {'conductor': 14, 'elladic_image': '8.6.0.6', 'lmfdb_label': '14.a3', 'modell_image': '2B', 'prime': 2}
  • id: 8
    {'conductor': 14, 'elladic_image': '3.24.0.1', 'lmfdb_label': '14.a3', 'modell_image': '3Cs.1.1', 'prime': 3}
• lmfdb_iso 14.a does not appear in ec_padic