Elliptic curve data - 2.0.111.1-3.1-b1

Formats: - HTML - YAML - JSON - 2026-04-12T15:40:19.400909

• 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': '1.2999999408008561537418095723694557043', 'prec': 130}, 'abs_disc': 111, 'ainvs': '1,0;-1,1;1,0;-3,-2;26,-15', 'analytic_rank': 1, 'bad_primes': ['(3,w+1)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.0.111.1-3.1-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(3,w+1)', 'conductor_label': '3.1', 'conductor_norm': 3, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(21384*a+3163833)', 'equation': '{y}^2+{x}{y}+{y}={x}^3+\\left(a-1\\right){x}^2+\\left(-2a-3\\right){x}-15a+26', 'field_label': '2.0.111.1', 'galois_images': ['2Cs', '3Cn'], 'gens': ['[[9/4,-3/16],[-159/16,77/64],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '3.3881420125917537043649437087443197317', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], 'jinv': '1331/27,0', 'label': '2.0.111.1-3.1-b1', 'local_data': [{'p': '(3,w+1)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(7,w+6)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 7, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': ['(7,w+6)'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 10090298369529, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '8.0848731866052323220478839020790374083', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '3.3881420125917537043649437087443197317', 'prec': 130}, 'root_analytic_conductor': 1.239025819623145, 'semistable': True, 'sha': 1, 'short_class_label': '3.1-b', 'short_label': '3.1-b1', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[-3,0],[1,0],[1,0]]', '[[0,-5/4],[-1/2,5/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1144253529238878771}