Elliptic curve data - 4.4.2048.1-16.1-a3

Formats: - HTML - YAML - JSON - 2026-02-23T21:11:04.834903

• 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': '0.856213478193024', 'prec': 57}, 'abs_disc': 2048, 'ainvs': '-2,-2,1,1;2,-3,-1,1;-2,-2,1,1;3,-14,-2,4;9,-9,-6,4', 'analytic_rank': 0, 'bad_primes': ['(w)'], 'base_change': [], 'class_deg': 40, 'class_label': '4.4.2048.1-16.1-a', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '16.1', 'conductor_norm': 16, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(-8)', 'equation': '{y}^2+\\left(a^{3}+a^{2}-2a-2\\right){x}{y}+\\left(a^{3}+a^{2}-2a-2\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-3a+2\\right){x}^{2}+\\left(4a^{3}-2a^{2}-14a+3\\right){x}+4a^{3}-6a^{2}-9a+9', 'field_label': '4.4.2048.1', 'galois_images': ['2B', '5B.4.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 5, 8, 10, 20, 40], 'isogeny_matrix': [[1, 4, 8, 8, 40, 40, 20, 5, 20, 4, 2, 10], [4, 1, 8, 8, 40, 40, 5, 20, 20, 4, 2, 10], [8, 8, 1, 4, 5, 20, 40, 40, 10, 2, 4, 20], [8, 8, 4, 1, 20, 5, 40, 40, 10, 2, 4, 20], [40, 40, 5, 20, 1, 4, 8, 8, 2, 10, 20, 4], [40, 40, 20, 5, 4, 1, 8, 8, 2, 10, 20, 4], [20, 5, 40, 40, 8, 8, 1, 4, 4, 20, 10, 2], [5, 20, 40, 40, 8, 8, 4, 1, 4, 20, 10, 2], [20, 20, 10, 10, 2, 2, 4, 4, 1, 5, 10, 2], [4, 4, 2, 2, 10, 10, 20, 20, 5, 1, 2, 10], [2, 2, 4, 4, 20, 20, 10, 10, 10, 2, 1, 5], [10, 10, 20, 20, 4, 4, 2, 2, 2, 10, 5, 1]], 'jinv': '-2554830072,-1382416352,4361830336,2360533016', 'label': '4.4.2048.1-16.1-a3', 'local_data': [{'p': '(w)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 12, 'ord_den_j': 0}], 'minD': '(8)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 4096, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '154.99119528284353989008903540891771760', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 5.718979337951525, 'semistable': False, 'sha': 1, 'short_class_label': '16.1-a', 'short_label': '16.1-a3', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-1/2,2,1/2,-1],[1,2,1/4,-3/4],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1135143362882579627}