Elliptic curve data - 479808.da2

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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': '479808da', 'Clabel': '479808da1', 'Cnumber': 1, 'abc_quality': 1.0202278663166926, 'absD': 8321096885611556846370816, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, 0, 0, -10641036, -139428484720], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 479808, 'degree': 103809024, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4615418546214396790311077552', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2], 'jinv': [-23707171994692, 1480419781911], 'lmfdb_iso': '479808.da', 'lmfdb_label': '479808.da2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6032, 1879920], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '238.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7497], [3, 8, 3136], [7, 32, 9792], [17, 18, 28224]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0150843950131344348911659364', 'prec': 100}, 'szpiro_ratio': 4.957119515883121, '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, 0, 0, 0, -2, 0, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0, -1, 0, -2, 0], 'aplist': [0, 0, -2, 0, -6, 4, -1, -2, 8, 0, -8, 4, 2, -12, 8, -6, -2, 14, 0, 4, -14, 4, -2, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 479808, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '479808.da', 'trace_hash': 1861240104710133164}
• 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': '0.00098478845215631949565438204415', 'prec': 113}, 'conductor': 479808, 'gens': [], 'heights': [], 'lmfdb_label': '479808.da2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.032377584912638527438049627430', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.51804135860221643900879403887368535120', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[5866, 0, 1]], 'xcoord_integral_points': [5866]}
• lmfdb_label 479808.da2 does not appear in ec_iwasawa
• lmfdb_label 479808.da2 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: 11825246
    {'conductor': 479808, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '479808.da2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11825247
    {'conductor': 479808, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '479808.da2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11825248
    {'conductor': 479808, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '479808.da2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11825249
    {'conductor': 479808, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '479808.da2', 'prime': 17, '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

  
  
  • id: 4606062
    {'adelic_gens': [[1, 0, 4, 1], [121, 834, 832, 119], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [949, 4, 948, 5], [618, 1, 167, 0], [818, 1, 543, 0], [477, 4, 2, 9]], 'adelic_image': '952.12.0.?', 'conductor': 479808, 'lmfdb_label': '479808.da2', 'prime': 0}
  • id: 1590386
    {'conductor': 479808, 'elladic_image': '8.6.0.1', 'lmfdb_label': '479808.da2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 479808.da does not appear in ec_padic