Elliptic curve data - 2.2.21.1-768.1-p1

Formats: - HTML - YAML - JSON - 2026-02-09T09:42:26.768989

• 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': '2.9768622214812501573682337573218785137', 'prec': 130}, 'abs_disc': 21, 'ainvs': '0,0;0,-1;0,0;1,0;-7,-4', 'analytic_rank': 0, 'bad_primes': ['(-w+2)', '(2)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.2.21.1-768.1-p', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-16*w+32)', 'conductor_label': '768.1', 'conductor_norm': 768, 'conductor_norm_factors': [2, 3], 'degree': 2, 'disc': '(-16*w+32)', 'equation': '{y}^2={x}^{3}-a{x}^{2}+{x}-4a-7', 'field_label': '2.2.21.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'p', 'iso_nlabel': 15, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '13568/3,-4864/3', 'label': '2.2.21.1-768.1-p1', 'local_data': [{'p': '(-w+2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 4, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(-16*w+32)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -768, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '13.641696463392225653281689978776862935', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.1557009141043006, 'semistable': False, 'sha': 4, 'short_class_label': '768.1-p', 'short_label': '768.1-p1', 'signature': [2, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[1,1],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2254517263270297987}