Elliptic curve data - 166410.bz2

Formats: - HTML - YAML - JSON - 2024-05-29T02:44:19.435839

• 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': '166410m', 'Clabel': '166410m1', 'Cnumber': 1, 'abc_quality': 1.4433067445108445, 'absD': 2931120112815668376000, 'adelic_genus': 3, 'adelic_index': 72, 'adelic_level': 5160, 'ainvs': [1, -1, 1, -44723, -2604794669], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 166410, 'degree': 7628544, 'elladic_images': ['2.3.0.1', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7980248232214185739025939223', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [-27, 8000], 'lmfdb_iso': '166410.bz', 'lmfdb_label': '166410.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3, -1213], 'min_quad_twist_disc': 129, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '6.9.0.a.1', '24.18.0.i.1', '30.18.0.d.1', '40.6.0.e.1', '120.36.0.?', '129.6.0.?', '258.18.0.?', '344.6.0.?', '430.6.0.?', '1032.36.1.?', '1290.36.1.?', '1720.12.0.?', '5160.72.3.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.776909248658556735287961585', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57218140788280808939966058117', 'prec': 107}, 'szpiro_ratio': 4.731608744268703, '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, 1, 0, 1, -1, 0, 0, 1, 0, -1, 4, 0, 0, 0, 0, 1, -2, 0, -6, -1], 'aplist': [1, 0, -1, 0, 4, 0, -2, -6, 2, 6, 0, 6, 2, 0, -2, 4, 4, 6, 0, 0, -6, -12, -16, 12, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 166410, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '166410.bz', 'trace_hash': 337415998244421822}
• 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': '0.0037125004767239446555054043830', 'prec': 110}, 'conductor': 166410, 'gens': [[8699857, 15585853712, 73]], 'heights': [{'__RealLiteral__': 0, 'data': '14.776909248658556735287961585', 'prec': 100}], 'lmfdb_label': '166410.bz2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.065315506962391772904842142589', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.581935826960672131186102377631463382', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[1387, -694, 1]], 'xcoord_integral_points': [1387]}
• lmfdb_label 166410.bz2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7417272
    {'degree': 2, 'field': [54, -1, 1], 'lmfdb_label': '166410.bz2', 'torsion': [2, 2]}
  • id: 7417273
    {'degree': 4, 'field': [-5942, 64, -63, -2, 1], 'lmfdb_label': '166410.bz2', 'torsion': [4]}
  • id: 7417276
    {'degree': 8, 'field': [-125, -194, 127, 4, 28, -32, 1, -2, 1], 'lmfdb_label': '166410.bz2', 'torsion': [6]}
  • id: 7417275
    {'degree': 8, 'field': [6788656, -2368352, 329996, -22316, 4, 482, 59, -4, 1], 'lmfdb_label': '166410.bz2', 'torsion': [2, 4]}
  • id: 7417274
    {'degree': 8, 'field': [8917786, 2245616, 39469, -33178, 3849, 1084, 31, -2, 1], 'lmfdb_label': '166410.bz2', 'torsion': [2, 4]}
  • id: 7417278
    {'degree': 16, 'field': [15625, 24250, 53511, -23638, 20405, 15372, -9998, 8296, 1686, -1352, 1258, 84, -91, 62, 3, -2, 1], 'lmfdb_label': '166410.bz2', 'torsion': [3, 6]}
  • id: 7417279
    {'degree': 16, 'field': [2787424, -4411912, 2803908, -1471358, 1202681, -841884, 421234, -158092, 48072, -15646, 4390, -468, 302, -44, 36, -4, 1], 'lmfdb_label': '166410.bz2', 'torsion': [2, 6]}
  • id: 7417277
    {'degree': 16, 'field': [68690944, 0, 66313216, 0, -22844032, 0, 2565568, 0, -126620, 0, 8288, 0, -268, 0, -64, 0, 1], 'lmfdb_label': '166410.bz2', '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: 4118680
    {'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '166410.bz2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 4118681
    {'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '166410.bz2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4118682
    {'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '166410.bz2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4118683
    {'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '166410.bz2', 'prime': 43, '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: 2739127
    {'adelic_gens': [[5149, 12, 5148, 13], [7, 12, 144, 247], [368, 7, 3457, 5140], [1044, 1, 3167, 6], [2583, 4, 2, 3], [2799, 4948, 2816, 1521], [1, 0, 12, 1], [1, 6, 6, 37], [9, 8, 5116, 5121], [1, 12, 0, 1], [3445, 4, 1736, 13]], 'adelic_image': '5160.72.3.?', 'conductor': 166410, 'lmfdb_label': '166410.bz2', 'prime': 0}
  • id: 630675
    {'conductor': 166410, 'elladic_image': '2.3.0.1', 'lmfdb_label': '166410.bz2', 'modell_image': '2B', 'prime': 2}
  • id: 630676
    {'conductor': 166410, 'elladic_image': '3.3.0.1', 'lmfdb_label': '166410.bz2', 'modell_image': '3Nn', 'prime': 3}
• lmfdb_iso 166410.bz does not appear in ec_padic