Elliptic curve data - 2.2.56.1-56.1-b5

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• ec_nfcurves •

  Column	Type
  Lvalue	numeric
  abs_disc	bigint
  ainvs	text
  analytic_rank	smallint
  bad_primes	jsonb
  base_change	jsonb
  class_deg	integer
  class_label	text
  class_size	smallint
  cm	integer
  cm_type	smallint
  conductor_ideal	text
  conductor_label	text
  conductor_norm	bigint
  conductor_norm_factors	integer[]
  degree	smallint
  disc	text
  equation	text
  field_label	text
  galois_images	jsonb
  gens	jsonb
  heights	numeric[]
  iso_label	text
  iso_nlabel	smallint
  isodeg	integer[]
  isogeny_matrix	jsonb
  jinv	text
  label	text
  local_data	jsonb
  minD	text
  n_bad_primes	integer
  ngens	smallint
  non_min_p	jsonb
  nonmax_primes	smallint[]
  nonmax_rad	integer
  normdisc	numeric
  number	smallint
  omega	numeric
  potential_good_reduction	boolean
  q_curve	boolean
  rank	smallint
  rank_bounds	jsonb
  reducible_primes	integer[]
  reg	numeric
  root_analytic_conductor	double precision
  semistable	boolean
  sha	integer
  short_class_label	text
  short_label	text
  signature	jsonb
  tamagawa_product	integer
  torsion_gens	jsonb
  torsion_order	smallint
  torsion_primes	integer[]
  torsion_structure	jsonb
  trace_hash	bigint

  
  {'Lvalue': {'__RealLiteral__': 0, 'data': '3.1611004438083630253138747541149784872', 'prec': 130}, 'abs_disc': 56, 'ainvs': '0,1;1,0;0,1;-33563,8970;3296587,-881050', 'analytic_rank': 1, 'bad_primes': ['(-w+4)', '(-2*w+7)'], 'base_change': ['56.a1', '3136.p1'], 'class_deg': 8, 'class_label': '2.2.56.1-56.1-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w)', 'conductor_label': '56.1', 'conductor_norm': 56, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(224)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\\left(8970a-33563\\right){x}-881050a+3296587', 'field_label': '2.2.56.1', 'galois_images': ['2Cs'], 'gens': ['[[1857/25,-504/25],[19784/125,-5273/125],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.9330572333397874665166854077779284302', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 8, 4, 2, 4], [8, 1, 4, 2, 4, 8], [8, 4, 1, 2, 4, 8], [4, 2, 2, 1, 2, 4], [2, 4, 4, 2, 1, 2], [4, 8, 8, 4, 2, 1]], 'jinv': '1443468546/7,0', 'label': '2.2.56.1-56.1-b5', 'local_data': [{'p': '(-w+4)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 10, 'ord_den_j': 0}, {'p': '(-2*w+7)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(224)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 50176, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '24.474712123189155120415412150478832757', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.9330572333397874665166854077779284302', 'prec': 130}, 'root_analytic_conductor': 1.8292774205870683, 'semistable': False, 'sha': 1, 'short_class_label': '56.1-b', 'short_label': '56.1-b5', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[73,-20],[140,-37],[1,0]]', '[[-151,40],[-280,75],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1451875098248738639}