Elliptic curve data - 2.2.56.1-14.1-a2

Formats: - HTML - YAML - JSON - 2023-09-30T17:27:08.963921

• 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': '1.4724252457447334709465323599246795640', 'prec': 130}, 'abs_disc': 56, 'ainvs': '1,0;0,0;1,0;-1,0;0,0', 'analytic_rank': 1, 'bad_primes': ['(-w+4)', '(-2*w+7)'], 'base_change': ['14.a5', '3136.z5'], 'class_deg': 18, 'class_label': '2.2.56.1-14.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w)', 'conductor_label': '14.1', 'conductor_norm': 14, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-28)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}-{x}', 'field_label': '2.2.56.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[5/4,0],[-9/8,3/8],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4033900750268254538391744629588082373', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 9, 3, 6, 18, 2], [9, 1, 3, 6, 2, 18], [3, 3, 1, 2, 6, 6], [6, 6, 2, 1, 3, 3], [18, 2, 6, 3, 1, 9], [2, 18, 6, 3, 9, 1]], 'jinv': '-15625/28,0', 'label': '2.2.56.1-14.1-a2', 'local_data': [{'p': '(-w+4)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'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': '(28)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 784, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '35.331443521838487468276873573146337276', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '1.4033900750268254538391744629588082373', 'prec': 130}, 'root_analytic_conductor': 1.2934944687685523, 'semistable': True, 'sha': 1, 'short_class_label': '14.1-a', 'short_label': '14.1-a2', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[1,0],[0,0],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 606778101336110623}