Elliptic curve data - 4.4.7225.1-16.1-a5

Formats: - HTML - YAML - JSON - 2026-03-15T16:38:52.670798

• 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': '1.18223087851348', 'prec': 54}, 'abs_disc': 7225, 'ainvs': '0,1,0,0;-1,5/6,1/2,-1/6;3/2,7/3,0,-1/6;-135/2,-54,25,21/2;438,1531/6,-651/2,-683/6', 'analytic_rank': 0, 'bad_primes': ['(1/6*w^3-1/2*w^2-5/6*w+2)', '(-1/6*w^3-1/2*w^2+5/6*w+2)'], 'base_change': [], 'class_deg': 18, 'class_label': '4.4.7225.1-16.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-4/3*w^3+56/3*w+28)', 'equation': '{y}^2+a{x}{y}+\\left(-\\frac{1}{6}a^{3}+\\frac{7}{3}a+\\frac{3}{2}\\right){y}={x}^{3}+\\left(-\\frac{1}{6}a^{3}+\\frac{1}{2}a^{2}+\\frac{5}{6}a-1\\right){x}^{2}+\\left(\\frac{21}{2}a^{3}+25a^{2}-54a-\\frac{135}{2}\\right){x}-\\frac{683}{6}a^{3}-\\frac{651}{2}a^{2}+\\frac{1531}{6}a+438', 'field_label': '4.4.7225.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 2, 6, 3, 18, 9], [2, 1, 3, 6, 9, 18], [6, 3, 1, 2, 3, 6], [3, 6, 2, 1, 6, 3], [18, 9, 3, 6, 1, 2], [9, 18, 6, 3, 2, 1]], 'jinv': '2545584743833170707/16,-21583753823445138297/128,-2014355762928143019/128,2134939673743248165/128', 'label': '4.4.7225.1-16.1-a5', 'local_data': [{'p': '(1/6*w^3-1/2*w^2-5/6*w+2)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(-1/6*w^3-1/2*w^2+5/6*w+2)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(-4/3*w^3+56/3*w+28)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 262144, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '200.97924934729210783361842191666967269', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 10.7416865957237, 'semistable': True, 'sha': 1, 'short_class_label': '16.1-a', 'short_label': '16.1-a5', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-11/2,-175/24,7/8,23/24],[57/16,19/12,-13/8,-17/48],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1275892196604968439}