Elliptic curve data - 4.4.4525.1-45.3-c1

Formats: - HTML - YAML - JSON - 2024-05-15T18:12:44.364298

• 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': '0.986046370250883', 'prec': 57}, 'abs_disc': 4525, 'ainvs': '-4,-7/3,2/3,1/3;-1,-1/3,-1/3,1/3;1,-4/3,-1/3,1/3;14,2/3,-22/3,7/3;-24,6,18,-6', 'analytic_rank': 0, 'bad_primes': ['(-w^2+w+5)', '(-w)'], 'base_change': [], 'class_deg': 6, 'class_label': '4.4.4525.1-45.3-c', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2+6)', 'conductor_label': '45.3', 'conductor_norm': 45, 'conductor_norm_factors': [3, 5], 'degree': 4, 'disc': '(-9*w^3-25*w^2+57*w+117)', 'equation': '{y}^2+\\left(\\frac{1}{3}a^{3}+\\frac{2}{3}a^{2}-\\frac{7}{3}a-4\\right){x}{y}+\\left(\\frac{1}{3}a^{3}-\\frac{1}{3}a^{2}-\\frac{4}{3}a+1\\right){y}={x}^{3}+\\left(\\frac{1}{3}a^{3}-\\frac{1}{3}a^{2}-\\frac{1}{3}a-1\\right){x}^{2}+\\left(\\frac{7}{3}a^{3}-\\frac{22}{3}a^{2}+\\frac{2}{3}a+14\\right){x}-6a^{3}+18a^{2}+6a-24', 'field_label': '4.4.4525.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 2, 6, 3], [2, 1, 3, 6], [6, 3, 1, 2], [3, 6, 2, 1]], 'jinv': '3003746024/1125,-15512081743/10125,-6961599439/10125,3312830917/10125', 'label': '4.4.4525.1-45.3-c1', 'local_data': [{'p': '(-w^2+w+5)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(-w)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-9*w^3-25*w^2+57*w+117)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 11390625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '132.65897158337028414813623977350178111', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 9.673851346362493, 'semistable': True, 'sha': 1, 'short_class_label': '45.3-c', 'short_label': '45.3-c1', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-2,-2/3,4/3,-1/3],[-1,-4/3,-1/3,1/3],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 529729334098540639}