Elliptic curve data - 3.1.23.1-259.1-A2

Formats: - HTML - YAML - JSON - 2026-02-21T16:16:18.362013

• 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': '0.51988698402933238686103269625191968865', 'prec': 133}, 'abs_disc': 23, 'ainvs': '0,0,0;0,0,1;1,0,0;0,9,0;-15,0,8', 'analytic_rank': 0, 'bad_primes': ['(2*w^2-w)', '(3*w^2-w+1)'], 'base_change': [], 'class_deg': 27, 'class_label': '3.1.23.1-259.1-A', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-4*w^2+7*w+1)', 'conductor_label': '259.1', 'conductor_norm': 259, 'conductor_norm_factors': [7, 37], 'degree': 3, 'disc': '(-11800*w^2+4160*w-3211)', 'equation': '{y}^2+{y}={x}^{3}+a^{2}{x}^{2}+9a{x}+8a^{2}-15', 'field_label': '3.1.23.1', 'galois_images': ['3Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'A', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 27, 9], [3, 1, 9, 3], [27, 9, 1, 3], [9, 3, 3, 1]], 'jinv': '5291457412308992/2044031255371,14942973020037120/2044031255371,533423413596160/2044031255371', 'label': '3.1.23.1-259.1-A2', 'local_data': [{'p': '(2*w^2-w)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(3*w^2-w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 37, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(11800*w^2-4160*w+3211)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -2044031255371, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.7399355798517729553216485793441840192', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 1.081979665637779, 'semistable': True, 'sha': 1, 'short_class_label': '259.1-A', 'short_label': '259.1-A2', 'signature': [1, 1], 'tamagawa_product': 27, 'torsion_gens': ['[[17,-21,10],[99,-131,74],[1,0,0]]'], 'torsion_order': 9, 'torsion_primes': [3], 'torsion_structure': [9], 'trace_hash': 538577013681064113}