Elliptic curve data - 2.0.39.1-288.5-b8

Formats: - HTML - YAML - JSON - 2024-06-17T01:13:13.147867

• 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': '3.3945324978144731606738543045048599816', 'prec': 130}, 'abs_disc': 39, 'ainvs': '0,0;1,1;0,0;262138,1;-8184768,16631674', 'analytic_rank': 1, 'bad_primes': ['(2,w)', '(2,w+1)', '(3,w+1)'], 'base_change': [], 'class_deg': 20, 'class_label': '2.0.39.1-288.5-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(48,6*w+30)', 'conductor_label': '288.5', 'conductor_norm': 288, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(1019215872)', 'equation': '{y}^2={x}^3+\\left(a+1\\right){x}^2+\\left(a+262138\\right){x}+16631674a-8184768', 'field_label': '2.0.39.1', 'galois_images': ['2B', '5B'], 'gens': ['[[59468188/1247689,-118909653/1247689],[5867375340/1393668613,13679625372/1393668613],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '6.6074732664978658365101264462768188909', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 5, 10, 20], 'isogeny_matrix': [[1, 2, 2, 5, 10, 10, 10, 2], [2, 1, 4, 10, 20, 20, 5, 4], [2, 4, 1, 10, 20, 5, 20, 4], [5, 10, 10, 1, 2, 2, 2, 10], [10, 20, 20, 2, 1, 4, 4, 5], [10, 20, 5, 2, 4, 1, 4, 20], [10, 5, 20, 2, 4, 4, 1, 20], [2, 4, 4, 10, 5, 20, 20, 1]], 'jinv': '18013780041269221/9216,0', 'label': '2.0.39.1-288.5-b8', 'local_data': [{'p': '(2,w)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(2,w+1)', 'cp': 4, 'kod': -18, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 22, 'ord_den_j': 10}, {'p': '(3,w+1)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 10, 'ord_den_j': 4}], 'minD': '(2239488*w+13188096)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': ['(2,w)'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 1038800993736720384, 'number': 8, 'omega': {'__RealLiteral__': 0, 'data': '0.10025981093368107285831371859931385510', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 5], 'reg': {'__RealLiteral__': 0, 'data': '6.6074732664978658365101264462768188909', 'prec': 130}, 'root_analytic_conductor': 2.298894170285734, 'semistable': False, 'sha': 1, 'short_class_label': '288.5-b', 'short_label': '288.5-b8', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[47,-95],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 836231230148946259}