Elliptic curve data - 177600.bj1

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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': '177600dk', 'Clabel': '177600dk1', 'Cnumber': 1, 'abc_quality': 1.0748335400138693, 'absD': 5819596800, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 888, 'ainvs': [0, -1, 0, -833, -8223], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 177600, 'degree': 82944, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.61300304689760177758423145761', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1], 'jinv': [9765625, 888], 'lmfdb_iso': '177600.bj', 'lmfdb_label': '177600.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13, 11], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['888.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2775], [3, 4, 59200], [5, 10, 7104], [37, 38, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69495737601466624897507661345', 'prec': 107}, 'szpiro_ratio': 2.63002761919521, '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, -1, 0, 0, 0, -2, 0, 1, 0, -2, 0, 5, 0, 0, 0, 5, 0, 0, 0], 'aplist': [0, -1, 0, -2, -2, 5, 5, 0, 6, 6, 3, -1, 0, -4, -3, -3, -7, 2, -1, 3, -9, 3, -2, -2, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 177600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '177600.bj', 'trace_hash': 636393492240680612}
• 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': '0.29346230114850012559965092703', 'prec': 103}, 'conductor': 177600, 'gens': [], 'heights': [], 'lmfdb_label': '177600.bj1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.89374550981511473830286581220', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7874910196302294766057316244060750467', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 177600.bj1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7867550
    {'degree': 3, 'field': [-18, -38, -1, 1], 'lmfdb_label': '177600.bj1', 'torsion': [2]}
  • id: 7867551
    {'degree': 6, 'field': [7056, 7728, 1726, -368, -129, -2, 1], 'lmfdb_label': '177600.bj1', 'torsion': [2, 2]}
  • id: 7867552
    {'degree': 8, 'field': [-235200, 0, 37480, 0, -1680, 0, 0, 0, 1], 'lmfdb_label': '177600.bj1', 'torsion': [3]}
  • id: 7867553
    {'degree': 12, 'field': [178176, -63397888, 15124864, 5340160, -2344000, 132352, 119914, -21972, -270, 720, -61, -2, 1], 'lmfdb_label': '177600.bj1', '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: 4394866
    {'conductor': 177600, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '177600.bj1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4394867
    {'conductor': 177600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '177600.bj1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4394868
    {'conductor': 177600, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '177600.bj1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4394869
    {'conductor': 177600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '177600.bj1', 'prime': 37, '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': [[223, 2, 223, 3], [1, 1, 887, 0], [1, 2, 0, 1], [1, 0, 2, 1], [409, 2, 409, 3], [887, 2, 886, 3], [445, 2, 445, 3], [593, 2, 593, 3]], 'adelic_image': '888.2.0.?', 'conductor': 177600, 'lmfdb_label': '177600.bj1', 'prime': 0}
• lmfdb_iso 177600.bj does not appear in ec_padic