Elliptic curve data - 348075.cp2

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

  
  {'Ciso': '348075cp', 'Clabel': '348075cp1', 'Cnumber': 1, 'abc_quality': 0.83563504056721, 'absD': 543649640625, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 18564, 'ainvs': [1, -1, 0, -7392, 243891], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 348075, 'degree': 491520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0624399631027837742636388598', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2], 'jinv': [105890949891, 1288651], 'lmfdb_iso': '348075.cp', 'lmfdb_label': '348075.cp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -296, 2010], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '204.6.0.?', '546.6.0.?', '6188.6.0.?', '18564.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7310514346719898295733857420', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.016932065281293835885552116044', 'prec': 110}, 'szpiro_ratio': 3.0045156290614923, '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, 0, 0, -1, -3, 0, 0, 0, 0, 1, -1, 0, -1, 1, 0, -8, 0], 'aplist': [1, 0, 0, -1, 0, 1, 1, -8, 6, -6, -8, 4, -6, 0, 8, -4, -4, -4, 6, 4, -10, -16, 0, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 348075, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '348075.cp', 'trace_hash': 1780282772263959843}
• 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': '0.11944730989740951009950137488', 'prec': 103}, 'conductor': 348075, 'gens': [[58, 59, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7310514346719898295733857420', 'prec': 100}], 'lmfdb_label': '348075.cp2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.92727909822464400160511100377', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9194520195448139590223781048100081621', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[54, -27, 1]], 'xcoord_integral_points': [54, 58]}
• lmfdb_label 348075.cp2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14531618
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '348075.cp2', 'torsion': [2, 2]}
  • id: 14531619
    {'degree': 4, 'field': [12385, -470, -294, -2, 1], 'lmfdb_label': '348075.cp2', 'torsion': [4]}
  • id: 14531620
    {'degree': 8, 'field': [-398531, 3406732, -2049809, -292706, 67792, 3280, -593, -2, 1], 'lmfdb_label': '348075.cp2', 'torsion': [2, 4]}
  • id: 14531622
    {'degree': 8, 'field': [-12951, -282, 201, -471, -240, 42, 15, -4, 1], 'lmfdb_label': '348075.cp2', 'torsion': [6]}
  • id: 14531621
    {'degree': 8, 'field': [121906656, 20985408, -96732, 33426, 11571, -1185, -66, -3, 1], 'lmfdb_label': '348075.cp2', 'torsion': [2, 4]}
  • id: 14531623
    {'degree': 16, 'field': [-7975194474359, 38694498958384, -35622729632828, -5938021997880, 2457705185250, 606600768040, -190572251208, -10001909472, 2543686507, -27868856, 4632664, 518240, -90438, 1848, -244, -8, 1], 'lmfdb_label': '348075.cp2', 'torsion': [8]}
  • id: 14531624
    {'degree': 16, 'field': [10237433760801, 0, -3011301159984, 0, 117463849686, 0, -2770731360, 0, -1162809, 0, -203157, 0, 7932, 0, -189, 0, 1], 'lmfdb_label': '348075.cp2', '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: 8614026
    {'conductor': 348075, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '348075.cp2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8614027
    {'conductor': 348075, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '348075.cp2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8614028
    {'conductor': 348075, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '348075.cp2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8614029
    {'conductor': 348075, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '348075.cp2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8614030
    {'conductor': 348075, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '348075.cp2', '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: 3837051
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [12380, 1, 6187, 0], [7958, 1, 5303, 0], [4645, 13924, 4640, 13923], [9829, 4, 1094, 9], [17138, 1, 9995, 0], [1, 0, 4, 1], [18561, 4, 18560, 5], [3, 4, 8, 11]], 'adelic_image': '18564.12.0.?', 'conductor': 348075, 'lmfdb_label': '348075.cp2', 'prime': 0}
  • id: 1204932
    {'conductor': 348075, 'elladic_image': '2.3.0.1', 'lmfdb_label': '348075.cp2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 348075.cp does not appear in ec_padic