Elliptic curve data - 377520.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '377520bj', 'Clabel': '377520bj1', 'Cnumber': 1, 'abc_quality': 1.0124587431163772, 'absD': 1518154699776000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 17160, 'ainvs': [0, -1, 0, 2667944, 836297200], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 377520, 'degree': 15966720, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7526784996711428659509306753', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1], 'jinv': [385226073849504061, 278469750000000], 'lmfdb_iso': '377520.bj', 'lmfdb_label': '377520.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 166746, -13067144], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['17160.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7897282972824078969072421818', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4600575009116049205182126594', 'prec': 100}, 'szpiro_ratio': 4.36121848781863, '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, -1, 0, 3, 0, 1, 0, 0, 0, 1, 0, 1, 0, 6, 0, -3, 0], 'aplist': [0, -1, -1, 3, 0, 1, 6, -3, -4, 2, -7, -10, -2, -1, 3, 0, 5, -3, 9, -2, -2, -11, 13, -11, -5], 'class_deg': 1, 'class_size': 1, 'conductor': 377520, 'isogeny_matrix': [[1]], 'lmfdb_iso': '377520.bj', 'trace_hash': 1148529052025388939}
• 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': '0.0040649371419279144047284439695', 'prec': 110}, 'conductor': 377520, 'gens': [[4844, 356928, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7897282972824078969072421818', 'prec': 100}], 'lmfdb_label': '377520.bj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.095911215074710501167064634782', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8662006258379375024325710705453970572', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [], 'xcoord_integral_points': [4844]}
• lmfdb_label 377520.bj1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15643782
    {'degree': 3, 'field': [-78, 10, -1, 1], 'lmfdb_label': '377520.bj1', 'torsion': [2]}
  • id: 15643783
    {'degree': 6, 'field': [32400, 0, 4650, -360, 1, -2, 1], 'lmfdb_label': '377520.bj1', 'torsion': [2, 2]}
  • id: 15643784
    {'degree': 8, 'field': [-13068, 0, 11737, 0, -5577, 0, -33, 0, 1], 'lmfdb_label': '377520.bj1', 'torsion': [3]}
  • id: 15643785
    {'degree': 12, 'field': [58736853855, -32874533220, 10551532404, -2048619440, 218492075, -16509480, 1259640, 30128, -31755, -20, -140, 0, 1], 'lmfdb_label': '377520.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: 9340221
    {'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '377520.bj1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9340222
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.bj1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9340223
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '377520.bj1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9340224
    {'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '377520.bj1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9340225
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '377520.bj1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• 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': [[1, 1, 17159, 0], [10297, 2, 10297, 3], [2641, 2, 2641, 3], [12871, 2, 12871, 3], [1, 0, 2, 1], [1, 2, 0, 1], [8581, 2, 8581, 3], [11441, 2, 11441, 3], [7801, 2, 7801, 3], [17159, 2, 17158, 3]], 'adelic_image': '17160.2.0.?', 'conductor': 377520, 'lmfdb_label': '377520.bj1', 'prime': 0}
• lmfdb_iso 377520.bj does not appear in ec_padic