Elliptic curve data - 2.0.40.1-45.1-b4

Formats: - HTML - YAML - JSON - 2025-04-21T07:37:58.190589

• 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': '1.4139819161221196727672318095758254813', 'prec': 130}, 'abs_disc': 40, 'ainvs': '0,1;0,0;0,0;-38,0;78,0', 'analytic_rank': 0, 'bad_primes': ['(5,w)', '(3)'], 'base_change': ['75b3', '960i4'], 'class_deg': 16, 'class_label': '2.0.40.1-45.1-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(15,3*w)', 'conductor_label': '45.1', 'conductor_norm': 45, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(3240000)', 'equation': '{y}^2+a{x}{y}={x}^3-38{x}+78', 'field_label': '2.0.40.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 16, 8, 4, 8, 2, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [8, 8, 1, 2, 4, 4, 8, 8], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [2, 8, 4, 2, 4, 1, 8, 2], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 8, 4, 8, 2, 16, 1]], 'jinv': '111284641/50625,0', 'label': '2.0.40.1-45.1-b4', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(5,w)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(3)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(50625)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(2,w)'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 10497600000000, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '2.2357017126175291017667427821122417223', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 1.4637660753697073, 'semistable': True, 'sha': 4, 'short_class_label': '45.1-b', 'short_label': '45.1-b4', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[-6,0],[0,3],[1,0]]', '[[2,0],[0,-1],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 221916192948814434}