Elliptic curve data - 445280.o2

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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': '445280o', 'Clabel': '445280o2', 'Cnumber': 2, 'abc_quality': 1.0500491232951008, 'absD': 6345669143052800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2024, 'ainvs': [0, 0, 0, -53603, 2851002], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 445280, 'degree': 1802240, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7320816842349687427124725261', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [18778674312, 6996025], 'lmfdb_iso': '445280.o', 'lmfdb_label': '445280.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -443, -2142], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '44.12.0-4.c.1.1', '88.24.0.?', '184.24.0.?', '2024.48.0.?'], '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, 4, 121], [5, 6, 89056], [11, 62, 3680], [23, 24, 19360]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.013273662415824488618576646024', 'prec': 107}, 'szpiro_ratio': 3.404591935484497, '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, -1, 0, 0, 0, -3, 0, 0, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, 0, 0, 2, -2, -4, -1, 2, -8, 10, 6, -12, 0, -6, 0, -10, 4, 16, 6, -8, -4, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 445280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '445280.o', 'trace_hash': 796714472634853386}
• 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': '0.031299180356570742640349129017', 'prec': 107}, 'conductor': 445280, 'gens': [], 'heights': [], 'lmfdb_label': '445280.o2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.38682932342609759192151830468', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.77365864685219518384303660935187883485', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[198, 0, 1]], 'xcoord_integral_points': [198]}
• lmfdb_label 445280.o2 does not appear in ec_iwasawa
• lmfdb_label 445280.o2 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: 10991431
    {'conductor': 445280, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '445280.o2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10991432
    {'conductor': 445280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '445280.o2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10991433
    {'conductor': 445280, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '445280.o2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10991434
    {'conductor': 445280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '445280.o2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 4407197
    {'adelic_gens': [[735, 0, 0, 2023], [760, 1595, 1177, 1574], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 2018, 2019], [2017, 8, 2016, 9], [1671, 572, 1122, 1033], [1937, 1848, 572, 1321]], 'adelic_image': '2024.48.0.?', 'conductor': 445280, 'lmfdb_label': '445280.o2', 'prime': 0}
  • id: 1491510
    {'conductor': 445280, 'elladic_image': '8.12.0.15', 'lmfdb_label': '445280.o2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 445280.o does not appear in ec_padic