Elliptic curve data - 490392.l1

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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': '490392l', 'Clabel': '490392l1', 'Cnumber': 1, 'abc_quality': 0.9304310389292791, 'absD': 63658662791075856, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 11676, 'ainvs': [0, 0, 0, -5337423, 4746179151], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 139], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 490392, 'degree': 8128512, 'elladic_images': ['2.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4389933032384546557153648960', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [5103764999424, 19321], 'lmfdb_iso': '490392.l', 'lmfdb_label': '490392.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -12103, 512491], 'min_quad_twist_disc': 21, 'modell_images': ['2Cn'], 'modm_images': ['2.2.0.a.1', '14.6.0.a.1', '11676.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.037046307838323619290870950852', 'prec': 107}, 'szpiro_ratio': 4.432919127480921, '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, 0, 0, -1, 0, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, -7, 0, 1, 0], 'aplist': [0, 0, -1, 0, 5, 2, -7, 1, -3, -2, 1, -1, -2, 4, -3, -5, 5, -9, 3, -8, 11, -7, -12, 3, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 490392, 'isogeny_matrix': [[1]], 'lmfdb_iso': '490392.l', 'trace_hash': 346997577080843352}
• 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': '0.0076123252149659651123799175224', 'prec': 110}, 'conductor': 490392, 'gens': [], 'heights': [], 'lmfdb_label': '490392.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30655653436121804969967619460', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2262261374448721987987047784183658546', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 490392.l1 does not appear in ec_iwasawa
• lmfdb_label 490392.l1 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: 12090459
    {'conductor': 490392, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '490392.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12090460
    {'conductor': 490392, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '490392.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12090461
    {'conductor': 490392, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '490392.l1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12090462
    {'conductor': 490392, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '490392.l1', 'prime': 139, '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: 4669202
    {'adelic_gens': [[1, 0, 4, 1], [1, 2, 2, 5], [5000, 11673, 7791, 5], [1, 4, 0, 1], [3, 2, 11668, 11671], [4315, 7788, 1128, 7795], [7783, 0, 0, 11675], [11673, 4, 11672, 5], [9733, 7788, 9738, 7795]], 'adelic_image': '11676.12.0.?', 'conductor': 490392, 'lmfdb_label': '490392.l1', 'prime': 0}
  • id: 1622791
    {'conductor': 490392, 'elladic_image': '2.2.0.1', 'lmfdb_label': '490392.l1', 'modell_image': '2Cn', 'prime': 2}
• lmfdb_iso 490392.l does not appear in ec_padic