Elliptic curve data - 2.0.31.1-20.3-a3

Formats: - HTML - YAML - JSON - 2024-06-04T21:25:29.138319

• 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': '0.81446997690408424214979520793823205853', 'prec': 133}, 'abs_disc': 31, 'ainvs': '1,1;-1,1;0,0;-4,-4;16,0', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(5,w+1)'], 'base_change': [], 'class_deg': 6, 'class_label': '2.0.31.1-20.3-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(10,2*w+2)', 'conductor_label': '20.3', 'conductor_norm': 20, 'conductor_norm_factors': [2, 5], 'degree': 2, 'disc': '(-576*a+64)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-4a-4\\right){x}+16', 'field_label': '2.0.31.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[217/64,-33/64],[645/512,-813/512],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.7783238846436092993871456593587692460', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'jinv': '2148781/320,566667/320', 'label': '2.0.31.1-20.3-a3', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2,w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(5,w+1)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(6*w+16)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 2621440, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '7.3448946023888906151377910137138582107', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '2.7783238846436092993871456593587692460', 'prec': 130}, 'root_analytic_conductor': 1.052148158336872, 'semistable': True, 'sha': 1, 'short_class_label': '20.3-a', 'short_label': '20.3-a3', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[0,0],[4,0],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 366390868094652366}