Elliptic curve data - 4.4.18496.1-8.3-a5

Formats: - HTML - YAML - JSON - 2024-05-16T04:23:06.824188

• 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': '1.18419615538922', 'prec': 54}, 'abs_disc': 18496, 'ainvs': '-20/9,47/9,2/3,-4/9;-32/9,14/9,2/3,-1/9;-22/9,-14/9,1/3,1/9;-781/9,430/9,37/3,-41/9;286,-318,-53,29', 'analytic_rank': 0, 'bad_primes': ['(7/9*w^3-5/3*w^2-71/9*w+80/9)'], 'base_change': ['2.2.17.1-8.3-a3', '2.2.17.1-4096.7-?'], 'class_deg': 8, 'class_label': '4.4.18496.1-8.3-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2/3*w^3-w^2-22/3*w+10/3)', 'conductor_label': '8.3', 'conductor_norm': 8, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(2/9*w^3-1/3*w^2-28/9*w+10/9)', 'equation': '{y}^2+\\left(-\\frac{4}{9}a^{3}+\\frac{2}{3}a^{2}+\\frac{47}{9}a-\\frac{20}{9}\\right){x}{y}+\\left(\\frac{1}{9}a^{3}+\\frac{1}{3}a^{2}-\\frac{14}{9}a-\\frac{22}{9}\\right){y}={x}^{3}+\\left(-\\frac{1}{9}a^{3}+\\frac{2}{3}a^{2}+\\frac{14}{9}a-\\frac{32}{9}\\right){x}^{2}+\\left(-\\frac{41}{9}a^{3}+\\frac{37}{3}a^{2}+\\frac{430}{9}a-\\frac{781}{9}\\right){x}+29a^{3}-53a^{2}-318a+286', 'field_label': '4.4.18496.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'jinv': '51934/3,226100/3,8075,-16150/3', 'label': '4.4.18496.1-8.3-a5', 'local_data': [{'p': '(7/9*w^3-5/3*w^2-71/9*w+80/9)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 3, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(2/9*w^3-1/3*w^2-28/9*w+10/9)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 16, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '1288.4054170634759410615901637171884334', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 15.760272062585683, 'semistable': False, 'sha': 1, 'short_class_label': '8.3-a', 'short_label': '8.3-a5', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[115/18,-80/9,-17/12,7/9],[25/2,-1/4,-5/4,1/8],[1,0,0,0]]', '[[40/9,14/9,-1/3,-1/9],[50/9,-113/9,-5/3,10/9],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 40770941516411869}