Elliptic curve data - 141120.oy2

Formats: - HTML - YAML - JSON - 2024-04-19T02:26:37.017075

• 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': '141120kc', 'Clabel': '141120kc1', 'Cnumber': 1, 'abc_quality': 0.8042613164744115, 'absD': 409677004800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 0, 0, 1428, -22736], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 141120, 'degree': 147456, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91420139124541822487434835836', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 388, 'isogeny_degrees': [1, 2], 'jinv': [19652, 25], 'lmfdb_iso': '141120.oy', 'lmfdb_label': '141120.oy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 40, 92], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '14.6.0.b.1', '56.12.0.bc.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-1.0457785310990586929892552746', 'prec': 103}, 'szpiro_ratio': 2.8325477684503433, '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, 1, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, 1, 0, 4, -2, 0, -2, 4, 10, 4, 2, 12, 4, -4, 2, 10, -6, -4, 12, -4, -4, 14, -8, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 141120, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '141120.oy', 'trace_hash': 1420530794618189231}
• 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': '0.16066998785914171879126512997', 'prec': 103}, 'conductor': 141120, 'gens': [], 'heights': [], 'lmfdb_label': '141120.oy2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50579612695947845158149386467', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0463690156758276126519509173665928365', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[14, 0, 1]], 'xcoord_integral_points': [14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '141120.oy2'}
• ec_torsion_growth •

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

  
  
  • id: 6377125
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '141120.oy2', 'torsion': [2, 2]}
  • id: 6377126
    {'degree': 4, 'field': [70, -84, 14, 0, 1], 'lmfdb_label': '141120.oy2', 'torsion': [4]}
  • id: 6377129
    {'degree': 8, 'field': [-5292, 0, 0, 0, 252, 0, 14, 0, 1], 'lmfdb_label': '141120.oy2', 'torsion': [6]}
  • id: 6377127
    {'degree': 8, 'field': [226, -472, 741, -516, 204, 62, -16, -4, 1], 'lmfdb_label': '141120.oy2', 'torsion': [2, 4]}
  • id: 6377128
    {'degree': 8, 'field': [1849, 0, 690, 0, 146, 0, 18, 0, 1], 'lmfdb_label': '141120.oy2', 'torsion': [2, 4]}
  • id: 6377130
    {'degree': 16, 'field': [-51575, 38800, -100632, 73024, -121272, 66160, 57984, -10624, 1270, 4144, 312, -192, 72, -48, -32, 0, 1], 'lmfdb_label': '141120.oy2', 'torsion': [8]}
  • id: 6377131
    {'degree': 16, 'field': [1382976, 0, -2765952, 0, 1481760, 0, -131712, 0, 48804, 0, -3528, 0, 280, 0, 42, 0, 1], 'lmfdb_label': '141120.oy2', '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: 3485783
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '141120.oy2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3485784
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141120.oy2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3485785
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '141120.oy2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3485786
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '141120.oy2', 'prime': 7, '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: 2581265
    {'adelic_gens': [[12, 1, 39, 0], [29, 4, 2, 9], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [53, 4, 52, 5], [1, 2, 2, 5], [25, 36, 48, 7]], 'adelic_image': '56.12.0.?', 'conductor': 141120, 'lmfdb_label': '141120.oy2', 'prime': 0}
  • id: 545402
    {'conductor': 141120, 'elladic_image': '8.6.0.3', 'lmfdb_label': '141120.oy2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 141120.oy does not appear in ec_padic