Elliptic curve data - 2.2.33.1-539.1-a3

Formats: - HTML - YAML - JSON - 2023-12-08T19:46:31.346080

• 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': '1.6791713078670715093471802716613307997', 'prec': 130}, 'abs_disc': 33, 'ainvs': '0,0;0,-1;1,0;546870,-162165;911189707,-270199791', 'analytic_rank': 0, 'bad_primes': ['(-4*w-9)', '(7)'], 'base_change': ['847.c3', '693.b3'], 'class_deg': 9, 'class_label': '2.2.33.1-539.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-28*w-63)', 'conductor_label': '539.1', 'conductor_norm': 539, 'conductor_norm_factors': [7, 11], 'degree': 2, 'disc': '(-115539436859)', 'equation': '{y}^2+{y}={x}^{3}-a{x}^{2}+\\left(-162165a+546870\\right){x}-270199791a+911189707', 'field_label': '2.2.33.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'jinv': '9463555063808/115539436859,0', 'label': '2.2.33.1-539.1-a3', 'local_data': [{'p': '(-4*w-9)', 'cp': 18, 'kod': 22, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}, {'p': '(7)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 49, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(115539436859)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 13349361469694847785881, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.60288154826947420090237316500130575728', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 2.473390650129838, 'semistable': True, 'sha': 4, 'short_class_label': '539.1-a', 'short_label': '539.1-a3', 'signature': [2, 0], 'tamagawa_product': 36, 'torsion_gens': ['[[27,-23/3],[-210968/9,62557/9],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1699947266897716189}