Elliptic curve data - 479408.q2

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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': '479408q', 'Clabel': '479408q2', 'Cnumber': 2, 'abc_quality': 0.9803417683840783, 'absD': 7667696650777329664, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6308, 'ainvs': [0, 0, 0, -682651, 171406410], 'analytic_rank': 0, 'bad_primes': [2, 19, 83], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 479408, 'degree': 5529600, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3373927885542218158505218032', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [182573756217, 39790864], 'lmfdb_iso': '479408.q', 'lmfdb_label': '479408.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -118, 420], 'min_quad_twist_disc': 76, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '76.24.0.?', '332.24.0.?', '6308.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 361], [19, 200, 1328], [83, 84, 5776]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17202611841105627642877596580', 'prec': 103}, 'szpiro_ratio': 3.968929702428266, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -3, 0, -4, 0, -2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, -2, 0, -4, -2, 2, 0, 0, -6, -4, 2, 6, 4, 0, 6, 0, 14, 4, 0, 2, 0, 1, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 479408, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '479408.q', 'trace_hash': 1303417307516438766}
• 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': '0.0093275249581896186156943174730', 'prec': 110}, 'conductor': 479408, 'gens': [], 'heights': [], 'lmfdb_label': '479408.q2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22120565839280862983583966332', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.44241131678561725967167932663546566630', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[285, 0, 1], [646, 0, 1]], 'xcoord_integral_points': [-931, 285, 646]}
• lmfdb_label 479408.q2 does not appear in ec_iwasawa
• lmfdb_label 479408.q2 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: 11816258
    {'conductor': 479408, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '479408.q2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11816259
    {'conductor': 479408, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '479408.q2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11816260
    {'conductor': 479408, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '479408.q2', 'prime': 83, '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: 4603941
    {'adelic_gens': [[1, 0, 4, 1], [3151, 6304, 6306, 6305], [663, 6306, 0, 6307], [1, 4, 0, 1], [6305, 4, 6304, 5], [3575, 2, 1822, 6307]], 'adelic_image': '6308.48.0.?', 'conductor': 479408, 'lmfdb_label': '479408.q2', 'prime': 0}
  • id: 1589301
    {'conductor': 479408, 'elladic_image': '4.12.0.1', 'lmfdb_label': '479408.q2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 479408.q does not appear in ec_padic