Elliptic curve data - 2.2.56.1-225.3-a1

Formats: - HTML - YAML - JSON - 2024-06-10T13:58:53.239308

• 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': '0.57330849826628930411821234174990303682', 'prec': 133}, 'abs_disc': 56, 'ainvs': '0,1;-1,-1;1,0;561,146;839,222', 'analytic_rank': 0, 'bad_primes': ['(-w+3)', '(3)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.2.56.1-225.3-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-6*w-27)', 'conductor_label': '225.3', 'conductor_norm': 225, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(422838*w+1731321)', 'equation': '{y}^2+a{x}{y}+{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(146a+561\\right){x}+222a+839', 'field_label': '2.2.56.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '958947776/1171875,819094016/3515625', 'label': '2.2.56.1-225.3-a1', 'local_data': [{'p': '(-w+3)', 'cp': 4, 'kod': -12, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 14, 'ord_den_j': 8}, {'p': '(3)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(-422838*w-1731321)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 494384765625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.1451239774383367430818595775540673104', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.5898713809352683, 'semistable': False, 'sha': 1, 'short_class_label': '225.3-a', 'short_label': '225.3-a1', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[-3/2,0],[-1/2,3/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1797527387074793754}