Elliptic curve data - 17136.bd1

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• 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '17136d', 'Clabel': '17136d3', 'Cnumber': 3, 'abc_quality': 0.9500550123380991, 'absD': 1309309940736, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 0, 0, -4899, -119950], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17136, 'degree': 20480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0611795762746205926940529249', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 4], 'jinv': [17418812548, 1753941], 'lmfdb_iso': '17136.bd', 'lmfdb_label': '17136.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -544, -4624], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '28.12.0-4.c.1.2', '42.6.0.a.1', '84.24.0.?', '136.12.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 8, 1904], [7, 8, 2448], [17, 18, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.065749218526055344184596461442', 'prec': 110}, 'szpiro_ratio': 3.805949609343071, '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, -1, 0, 0, 0, -4, 0, 6, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, 0, 2, -1, -4, 6, -1, 0, 0, -2, 0, 6, -2, -4, 0, 2, -4, 2, -4, 0, 14, -8, 12, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 17136, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '17136.bd', 'trace_hash': 1566039401244972288}
• 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': '0.11974878935060883933921701296', 'prec': 103}, 'conductor': 17136, 'gens': [], 'heights': [], 'lmfdb_label': '17136.bd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.57435690478970459684575235398', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2974276191588183873830094159317393990', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-50, 0, 1]], 'xcoord_integral_points': [-50]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [0, 0], '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '17136.bd1'}
• ec_torsion_growth •

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

  
  
  • id: 876563
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '17136.bd1', 'torsion': [2, 2]}
  • id: 876564
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '17136.bd1', 'torsion': [4]}
  • id: 876565
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '17136.bd1', 'torsion': [4]}
  • id: 876566
    {'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '17136.bd1', 'torsion': [2, 4]}
  • id: 876570
    {'degree': 8, 'field': [-243, 0, -2052, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '17136.bd1', 'torsion': [6]}
  • id: 876567
    {'degree': 8, 'field': [441, 0, 0, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '17136.bd1', 'torsion': [2, 4]}
  • id: 876568
    {'degree': 8, 'field': [625, 250, -100, 180, 59, -36, -4, -2, 1], 'lmfdb_label': '17136.bd1', 'torsion': [8]}
  • id: 876569
    {'degree': 8, 'field': [25300, 1480, 266, -3416, 1519, 224, -70, -4, 1], 'lmfdb_label': '17136.bd1', 'torsion': [8]}
  • id: 876575
    {'degree': 16, 'field': [9, 0, 228, 0, 5758, 0, 456, 0, 39, 0, 152, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '17136.bd1', 'torsion': [12]}
  • id: 876574
    {'degree': 16, 'field': [9, 0, 1140, 0, 6190, 0, 2280, 0, -1545, 0, -8360, 0, -138, 0, 0, 0, 1], 'lmfdb_label': '17136.bd1', 'torsion': [2, 6]}
  • id: 876571
    {'degree': 16, 'field': [234256, 0, 120032, 0, 38272, 0, 15776, 0, 2812, 0, -688, 0, -32, 0, -4, 0, 1], 'lmfdb_label': '17136.bd1', 'torsion': [4, 4]}
  • id: 876573
    {'degree': 16, 'field': [1119364, 1223048, 1162824, -26248, -246542, -287164, -10688, 26962, 13803, 2074, -1456, 782, 253, -68, -20, 0, 1], 'lmfdb_label': '17136.bd1', 'torsion': [2, 8]}
  • id: 876576
    {'degree': 16, 'field': [2363566, 2363280, 2078570, 227620, 560716, 193034, 171848, -76964, -27791, -4174, 2648, 88, 172, -88, 8, 0, 1], 'lmfdb_label': '17136.bd1', 'torsion': [12]}
  • id: 876572
    {'degree': 16, 'field': [10694800, 14260000, 182309024, -121241904, 60855788, 43462664, -28422884, -9583176, 4579255, 850020, -317156, -33152, 10577, 588, -166, -4, 1], 'lmfdb_label': '17136.bd1', '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: 381852
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '17136.bd1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 381853
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17136.bd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 381854
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17136.bd1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 381855
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17136.bd1', 'prime': 17, 'reduction_type': -1, '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: 1778043
    {'adelic_gens': [[1636, 1, 839, 6], [1, 0, 8, 1], [2689, 8, 2188, 33], [1781, 1784, 334, 1779], [1075, 1074, 370, 1795], [7, 6, 2850, 2851], [1900, 2855, 929, 2850], [2849, 8, 2848, 9], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '2856.48.0.?', 'conductor': 17136, 'lmfdb_label': '17136.bd1', 'prime': 0}
  • id: 80260
    {'conductor': 17136, 'elladic_image': '4.6.0.1', 'lmfdb_label': '17136.bd1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 17136.bd does not appear in ec_padic