Elliptic curve data - 2.2.44.1-450.1-b2

Formats: - HTML - YAML - JSON - 2024-05-03T22:00:55.187826

• 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': '1.4145598909357945525362401539326763973', 'prec': 130}, 'abs_disc': 44, 'ainvs': '1,0;0,0;1,0;1,0;2,0', 'analytic_rank': 1, 'bad_primes': ['(w+3)', '(w-4)', '(-w-4)', '(3)'], 'base_change': ['29040.b8', '30.a8'], 'class_deg': 12, 'class_label': '2.2.44.1-450.1-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(15*w+45)', 'conductor_label': '450.1', 'conductor_norm': 450, 'conductor_norm_factors': [2, 3, 5], 'degree': 2, 'disc': '(-2160)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+{x}+2', 'field_label': '2.2.44.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[7/4,0],[-11/8,-1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.5053841191875194575771454730573817891', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 12, 6, 2, 12, 4], [3, 1, 12, 4, 2, 6, 4, 12], [4, 12, 1, 12, 6, 2, 3, 4], [12, 4, 12, 1, 2, 6, 4, 3], [6, 2, 6, 2, 1, 3, 2, 6], [2, 6, 2, 6, 3, 1, 6, 2], [12, 4, 3, 4, 2, 6, 1, 12], [4, 12, 4, 3, 6, 2, 12, 1]], 'jinv': '357911/2160,0', 'label': '2.2.44.1-450.1-b2', 'local_data': [{'p': '(w+3)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(w-4)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-w-4)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(2160)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 4665600, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '11.235557132632098287623660143514552130', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '2.5053841191875194575771454730573817891', 'prec': 130}, 'root_analytic_conductor': 2.730033776157899, 'semistable': True, 'sha': 1, 'short_class_label': '450.1-b', 'short_label': '450.1-b2', 'signature': [2, 0], 'tamagawa_product': 6, 'torsion_gens': ['[[3,0],[4,0],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 438577988693105952}