Elliptic curve data - 1152.p2

Formats: - HTML - YAML - JSON - 2024-05-20T01:59:06.591525

• 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': '1152m', 'Clabel': '1152m1', 'Cnumber': 1, 'abc_quality': 0.9690225224134634, 'absD': 3456, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, -9, 10], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1152, 'degree': 64, 'elladic_images': ['8.6.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.55699841366255389438819809210', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [23328, 1], 'lmfdb_iso': '1152.p', 'lmfdb_label': '1152.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -81, 270], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.f.1', '12.6.0.b.1', '24.12.0.bl.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2359873411562160810637281388', 'prec': 103}, 'szpiro_ratio': 2.5825817302256917, '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, 2, 0, 2, 0, 0, 0, 4, 0, -2, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, 0, 2, 2, 4, -2, -4, 4, 8, 6, -6, 2, -12, -12, 8, 6, 8, 10, 8, 0, 2, -14, 12, 8, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 1152, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1152.p', 'trace_hash': 1251138979142180662}
• 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': '3.0465104696768468094413435737', 'prec': 100}, 'conductor': 1152, 'gens': [], 'heights': [], 'lmfdb_label': '1152.p2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '4.4093555224909401329825546224', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2046777612454700664912773111908564170', 'prec': 130}, 'tamagawa_product': 2, '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.p2'}
• ec_torsion_growth •

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

  
  
  • id: 56601
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '1152.p2', 'torsion': [2, 2]}
  • id: 56602
    {'degree': 4, 'field': [6, 0, -6, 0, 1], 'lmfdb_label': '1152.p2', 'torsion': [4]}
  • id: 56605
    {'degree': 8, 'field': [-3, 0, 0, 0, 6, 0, 8, 0, 1], 'lmfdb_label': '1152.p2', 'torsion': [6]}
  • id: 56603
    {'degree': 8, 'field': [1, 4, -4, -20, 4, 20, -4, -4, 1], 'lmfdb_label': '1152.p2', 'torsion': [2, 4]}
  • id: 56604
    {'degree': 8, 'field': [25, 0, 28, 0, 18, 0, 4, 0, 1], 'lmfdb_label': '1152.p2', 'torsion': [2, 4]}
  • id: 56607
    {'degree': 16, 'field': [81, 0, 0, 0, -108, 0, -24, 0, -174, 0, -144, 0, 28, 0, -8, 0, 1], 'lmfdb_label': '1152.p2', 'torsion': [2, 6]}
  • id: 56606
    {'degree': 16, 'field': [121, 0, -40, 0, -316, 0, -88, 0, 190, 0, -56, 0, 20, 0, -8, 0, 1], 'lmfdb_label': '1152.p2', '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: 16665
    {'conductor': 1152, 'conductor_valuation': 7, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1152.p2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 16666
    {'conductor': 1152, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1152.p2', 'prime': 3, 'reduction_type': 0, '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: 1671818
    {'adelic_gens': [[1, 2, 2, 5], [21, 4, 20, 5], [2, 1, 11, 0], [3, 4, 8, 11], [20, 1, 7, 0], [4, 1, 17, 18], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 1152, 'lmfdb_label': '1152.p2', 'prime': 0}
  • id: 5475
    {'conductor': 1152, 'elladic_image': '8.6.0.2', 'lmfdb_label': '1152.p2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1152.p does not appear in ec_padic