Elliptic curve data - 327600.b1

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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': '327600b', 'Clabel': '327600b1', 'Cnumber': 1, 'abc_quality': 1.0257392517317787, 'absD': 3329422950625865260876800, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1092, 'ainvs': [0, 0, 0, -15830715, -91075543270], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 327600, 'degree': 52377600, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3883861393979413507912408648', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-23510280441297426820, 178402721548453857], 'lmfdb_iso': '327600.b', 'lmfdb_label': '327600.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1758968, -3373754592], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['1092.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 20475], [3, 8, 36400], [5, 10, 1008], [7, 8, 46800], [11, 2, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9932176925249153514791315896', 'prec': 100}, 'szpiro_ratio': 5.039002384022472, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, -1, 0, 0, 0, -6, 0, -1, 0, 0, 0, -3, 0, -6, 0], 'aplist': [0, 0, 0, -1, -6, -1, -3, -6, 3, 6, 6, -2, 0, 0, 1, -4, 1, -14, -5, -6, 5, -4, -4, -12, 9], 'class_deg': 1, 'class_size': 1, 'conductor': 327600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '327600.b', 'trace_hash': 1685334517455338752}
• 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': '0.0011399484022367527623203833582', 'prec': 110}, 'conductor': 327600, 'gens': [], 'heights': [], 'lmfdb_label': '327600.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.033437755244642891142677908144', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.26750204195714312914142326515470101228', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 327600.b1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13751253
    {'degree': 3, 'field': [162, -8, -1, 1], 'lmfdb_label': '327600.b1', 'torsion': [2]}
  • id: 13751254
    {'degree': 6, 'field': [22113, 0, 1647, 0, 111, 0, 1], 'lmfdb_label': '327600.b1', 'torsion': [2, 2]}
  • id: 13751255
    {'degree': 8, 'field': [-535364, 82072, 422296, -199948, 27380, 1388, -314, -2, 1], 'lmfdb_label': '327600.b1', 'torsion': [3]}
  • id: 13751256
    {'degree': 12, 'field': [4085316, 3044304, 2022246, 448740, 6885, 64719, -14769, -6876, 2160, -360, -9, -1, 1], 'lmfdb_label': '327600.b1', 'torsion': [4]}
• 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: 8109389
    {'conductor': 327600, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '327600.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8109390
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '327600.b1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8109391
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '327600.b1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8109392
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '327600.b1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8109393
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '327600.b1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[157, 2, 157, 3], [1, 1, 1091, 0], [1, 2, 0, 1], [1, 0, 2, 1], [547, 2, 547, 3], [1091, 2, 1090, 3], [925, 2, 925, 3], [365, 2, 365, 3]], 'adelic_image': '1092.2.0.?', 'conductor': 327600, 'lmfdb_label': '327600.b1', 'prime': 0}
• lmfdb_iso 327600.b does not appear in ec_padic