Elliptic curve data - 477950.cu1

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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': '477950cu', 'Clabel': '477950cu1', 'Cnumber': 1, 'abc_quality': 1.1712097808122228, 'absD': 1372263679484572052802764800, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6952, 'ainvs': [1, -1, 1, 277802315, -19194759603], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 477950, 'degree': 155115072, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8966547438935488315198262582', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1], 'jinv': [71254653245666829920041965, 41240080525456710828032], 'lmfdb_iso': '477950.cu', 'lmfdb_label': '477950.cu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 277802315, -19194759603], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['6952.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0819967987550662622357362002', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 21725], [5, 10, 19118], [7, 2, 6050], [11, 42, 3950], [31, 2, 238975], [79, 80, 6050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0289412736216061330708804748', 'prec': 100}, 'szpiro_ratio': 5.348280640943069, '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, 1, 0, 1, 0, 0, 2, 1, -3, 0, 0, 0, -1, 2, 0, 1, 5, -3, -2, 0], 'aplist': [1, 0, 0, 2, 0, -1, 5, -2, -2, 2, -2, -7, 3, -1, 0, 3, -6, 4, -4, -11, -6, 1, 4, 2, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 477950, 'isogeny_matrix': [[1]], 'lmfdb_iso': '477950.cu', 'trace_hash': 1988494031617227243}
• 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': '0.00041248550682062156589895659186', 'prec': 113}, 'conductor': 477950, 'gens': [[154119, 173164368, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0819967987550662622357362002', 'prec': 100}], 'lmfdb_label': '477950.cu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.028681680279423810651380066075', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.468533030439748849311795930872971013', 'prec': 130}, 'tamagawa_product': 434, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 477950.cu1 does not appear in ec_iwasawa
• lmfdb_label 477950.cu1 does not appear in ec_torsion_growth
• 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: 11779496
    {'conductor': 477950, 'conductor_valuation': 1, 'discriminant_valuation': 31, 'j_denominator_valuation': 31, 'kodaira_symbol': 35, 'lmfdb_label': '477950.cu1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 31}
  • id: 11779497
    {'conductor': 477950, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '477950.cu1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11779498
    {'conductor': 477950, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '477950.cu1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11779499
    {'conductor': 477950, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '477950.cu1', 'prime': 79, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• 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': [[5215, 2, 5215, 3], [1, 0, 2, 1], [5689, 2, 5689, 3], [1, 2, 0, 1], [6951, 2, 6950, 3], [1, 1, 6951, 0], [3477, 2, 3477, 3], [793, 2, 793, 3]], 'adelic_image': '6952.2.0.?', 'conductor': 477950, 'lmfdb_label': '477950.cu1', 'prime': 0}
• lmfdb_iso 477950.cu does not appear in ec_padic