Elliptic curve data - 17424.cf2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '17424n', 'Clabel': '17424n1', 'Cnumber': 1, 'abc_quality': 0.9866287598451596, 'absD': 241441440768, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, 0, 0, -8283, -289190], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17424, 'degree': 46080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0425891722625536512618625253', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2], 'jinv': [63253004, 243], 'lmfdb_iso': '17424.cf', 'lmfdb_label': '17424.cf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -920, -10404], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.i.1', '66.6.0.a.1', '88.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 8, 1936], [11, 42, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68381344073771492163227275553', 'prec': 107}, 'szpiro_ratio': 3.9607877964083307, '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, 4, 0, -4, 0, 0, 0, 0, 0, -6, 0, 0, 0, 6, 0, -6, 0], 'aplist': [0, 0, 4, -4, 0, -6, 6, -6, 2, 2, -4, -10, 2, 2, -6, 0, 12, 2, 4, 6, 4, -8, 0, 6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 17424, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17424.cf', 'trace_hash': 164179942451423193}
• 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': '0.12428495264825240822056477305', 'prec': 103}, 'conductor': 17424, 'gens': [], 'heights': [], 'lmfdb_label': '17424.cf2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50055636688233712366183501974', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0022254675293484946473400789649855273', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-55, 0, 1]], 'xcoord_integral_points': [-55]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '17424.cf2'}
• ec_torsion_growth •

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

  
  
  • id: 889941
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '17424.cf2', 'torsion': [2, 2]}
  • id: 889942
    {'degree': 4, 'field': [33, 0, 22, 0, 1], 'lmfdb_label': '17424.cf2', 'torsion': [4]}
  • id: 889945
    {'degree': 8, 'field': [-3267, 0, 1452, 0, -198, 0, 0, 0, 1], 'lmfdb_label': '17424.cf2', 'torsion': [6]}
  • id: 889943
    {'degree': 8, 'field': [1, 0, -7, 0, 6, 0, -7, 0, 1], 'lmfdb_label': '17424.cf2', 'torsion': [2, 4]}
  • id: 889944
    {'degree': 8, 'field': [4489, 0, 2138, 0, 402, 0, 26, 0, 1], 'lmfdb_label': '17424.cf2', 'torsion': [2, 4]}
  • id: 889947
    {'degree': 16, 'field': [-3065931, -17214120, 57464154, -52876692, 29789208, -14344524, 5341558, -1567660, 377094, -55200, 702, 1740, -240, 12, -6, -4, 1], 'lmfdb_label': '17424.cf2', 'torsion': [2, 6]}
  • id: 889946
    {'degree': 16, 'field': [2537649, 0, -1171308, 0, 335482, 0, -30096, 0, 12483, 0, -880, 0, 42, 0, -12, 0, 1], 'lmfdb_label': '17424.cf2', '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: 388592
    {'conductor': 17424, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '17424.cf2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 388593
    {'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '17424.cf2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 388594
    {'conductor': 17424, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '17424.cf2', 'prime': 11, '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: 1779983
    {'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [52, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 17424, 'lmfdb_label': '17424.cf2', 'prime': 0}
  • id: 81517
    {'conductor': 17424, 'elladic_image': '2.3.0.1', 'lmfdb_label': '17424.cf2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 17424.cf does not appear in ec_padic