Elliptic curve data - 161448.n2

Formats: - HTML - YAML - JSON - 2024-04-29T08:35:32.058325

• 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': '161448bj', 'Clabel': '161448bj2', 'Cnumber': 2, 'abc_quality': 0.9539300254639066, 'absD': 100195615570176, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2604, 'ainvs': [0, -1, 0, -11852, -117420], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 161448, 'degree': 460800, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3773790070316950117569164312', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [810448, 441], 'lmfdb_iso': '161448.n', 'lmfdb_label': '161448.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -12, 0], 'min_quad_twist_disc': -31, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0.a.1', '84.24.0.?', '124.12.0.?', '372.24.0.?', '868.24.0.?', '2604.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80171271558417498415248714538', 'prec': 107}, 'szpiro_ratio': 3.315097346572903, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 2, 0, -1, 0, 1, 0, 0, 0, 2, 0, -2, 0, -6, 0, -4, 0], 'aplist': [0, -1, 2, -1, 0, 2, -6, -4, 4, -6, 0, 10, -10, -12, -8, -6, 4, 10, 12, 4, -2, -8, -4, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 161448, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '161448.n', 'trace_hash': 1450170204124096338}
• 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': '0.063624414019506261347567451471', 'prec': 107}, 'conductor': 161448, 'gens': [], 'heights': [], 'lmfdb_label': '161448.n2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.48818980247215342830566626390', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.97637960494430685661133252779109250348', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[-10, 0, 1], [114, 0, 1]], 'xcoord_integral_points': [-103, -10, 114]}
• lmfdb_label 161448.n2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7216134
    {'degree': 4, 'field': [36, 0, -19, 0, 1], 'lmfdb_label': '161448.n2', 'torsion': [2, 4]}
  • id: 7216133
    {'degree': 4, 'field': [64, -8, -7, -1, 1], 'lmfdb_label': '161448.n2', 'torsion': [2, 4]}
  • id: 7216135
    {'degree': 4, 'field': [961, 0, 155, 0, 1], 'lmfdb_label': '161448.n2', 'torsion': [2, 4]}
  • id: 7216136
    {'degree': 8, 'field': [-7054003, 237010, 353480, -1510, -7172, 104, 16, -4, 1], 'lmfdb_label': '161448.n2', 'torsion': [2, 6]}
  • id: 7216139
    {'degree': 16, 'field': [-748863, -3804138, -5859596, -1242934, 4117402, 1873740, -1319646, -613098, 253647, 94068, -29586, -7530, 2034, 294, -74, -4, 1], 'lmfdb_label': '161448.n2', 'torsion': [2, 8]}
  • id: 7216138
    {'degree': 16, 'field': [1591093, -4782220, 9567798, -11444516, 10778112, -7151052, 4316398, -1916660, 822585, -258148, 81994, -18060, 4284, -616, 108, -8, 1], 'lmfdb_label': '161448.n2', 'torsion': [2, 8]}
  • id: 7216137
    {'degree': 16, 'field': [34904464, 0, -19268228, 0, 6414017, 0, -1438164, 0, 222068, 0, -22734, 0, 1484, 0, -56, 0, 1], 'lmfdb_label': '161448.n2', 'torsion': [4, 4]}
  • id: 7216140
    {'degree': 16, 'field': [177331947664, 0, -106733231840, 0, 18939137296, 0, -389480768, 0, -15069140, 0, 1264, 0, 8212, 0, 136, 0, 1], 'lmfdb_label': '161448.n2', 'torsion': [2, 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: 3994625
    {'conductor': 161448, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '161448.n2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3994626
    {'conductor': 161448, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '161448.n2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3994627
    {'conductor': 161448, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '161448.n2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3994628
    {'conductor': 161448, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '161448.n2', '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: 2708001
    {'adelic_gens': [[1, 0, 4, 1], [2481, 2356, 2108, 683], [1, 4, 0, 1], [2601, 4, 2600, 5], [1179, 1178, 2294, 1427], [745, 1178, 0, 1], [1175, 0, 0, 2603]], 'adelic_image': '2604.48.0.?', 'conductor': 161448, 'lmfdb_label': '161448.n2', 'prime': 0}
  • id: 614210
    {'conductor': 161448, 'elladic_image': '2.6.0.1', 'lmfdb_label': '161448.n2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 161448.n does not appear in ec_padic