Elliptic curve data - 1152.l2

Formats: - HTML - YAML - JSON - 2024-04-24T08:24:54.689789

• 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': '1152e', 'Clabel': '1152e1', 'Cnumber': 1, 'abc_quality': 0.9748760048854604, 'absD': 839808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, 15, 38], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1152, 'degree': 128, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.17913877101987999382095330642', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [4000, 9], 'lmfdb_iso': '1152.l', 'lmfdb_label': '1152.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 7, 9], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '12.6.0.b.1', '24.12.0.c.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, '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': '-1.1327807706805696033452946624', 'prec': 103}, 'szpiro_ratio': 2.9504278573301836, '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, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 6, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 0, 2, 4, 6, -6, 0, -4, -4, 10, 2, 2, 8, 12, 12, 4, 2, 4, 4, -10, -6, -12, -2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 1152, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1152.l', 'trace_hash': 163115048183746064}
• 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': '1.4308626899251955559016820580', 'prec': 100}, 'conductor': 1152, 'gens': [], 'heights': [], 'lmfdb_label': '1152.l2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.9585103236518626479442981383', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9585103236518626479442981383069706840', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-2, 0, 1]], 'xcoord_integral_points': [-2]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a'}, 'iwp0': 3, 'lmfdb_label': '1152.l2'}
• ec_torsion_growth •

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

  
  
  • id: 56483
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '1152.l2', 'torsion': [2, 2]}
  • id: 56484
    {'degree': 4, 'field': [-2, 0, -2, 0, 1], 'lmfdb_label': '1152.l2', 'torsion': [4]}
  • id: 56487
    {'degree': 8, 'field': [-27, 0, 24, 0, -18, 0, 0, 0, 1], 'lmfdb_label': '1152.l2', 'torsion': [6]}
  • id: 56486
    {'degree': 8, 'field': [3, 0, 16, -8, 22, -8, 8, 0, 1], 'lmfdb_label': '1152.l2', 'torsion': [2, 4]}
  • id: 56485
    {'degree': 8, 'field': [9, -12, 16, -4, -4, -4, 8, -4, 1], 'lmfdb_label': '1152.l2', 'torsion': [2, 4]}
  • id: 56488
    {'degree': 16, 'field': [9, 0, 144, 0, 156, 0, -624, 0, 718, 0, -400, 0, 108, 0, -16, 0, 1], 'lmfdb_label': '1152.l2', 'torsion': [8]}
  • id: 56489
    {'degree': 16, 'field': [18674, -56984, 84288, -82720, 61476, -31896, 6128, 5768, -5796, 2656, -724, 24, 136, -96, 36, -8, 1], 'lmfdb_label': '1152.l2', 'torsion': [2, 6]}
• 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: 16633
    {'conductor': 1152, 'conductor_valuation': 7, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1152.l2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 16634
    {'conductor': 1152, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '1152.l2', 'prime': 3, '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: 1671810
    {'adelic_gens': [[1, 2, 2, 5], [21, 4, 20, 5], [2, 1, 11, 0], [3, 4, 8, 11], [4, 1, 17, 18], [1, 4, 0, 1], [17, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 1152, 'lmfdb_label': '1152.l2', 'prime': 0}
  • id: 5467
    {'conductor': 1152, 'elladic_image': '8.6.0.5', 'lmfdb_label': '1152.l2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1152.l does not appear in ec_padic