Elliptic curve data - 2.0.3.1-109744.2-a1

Formats: - HTML - YAML - JSON - 2024-12-26T18:00:56.597299

• 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': '2.6178800538964261907900211023295185419', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;-1,-1;0,0;-1,9;-3,-7', 'analytic_rank': 1, 'bad_primes': ['(-5*w+3)', '(-5*w+2)', '(2)'], 'base_change': [], 'class_deg': 1, 'class_label': '2.0.3.1-109744.2-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-380*w+228)', 'conductor_label': '109744.2', 'conductor_norm': 109744, 'conductor_norm_factors': [2, 19], 'degree': 2, 'disc': '(5776)', 'equation': '{y}^2={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(9a-1\\right){x}-7a-3', 'field_label': '2.0.3.1', 'galois_images': ['2Cn'], 'gens': ['[[2,-3],[-3,-2],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.063197259148024981245446456250968340080', 'prec': 137}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '2218752/361,1161216/361', 'label': '2.0.3.1-109744.2-a1', 'local_data': [{'p': '(-5*w+3)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 19, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 2, 'ord_den_j': 0}, {'p': '(-5*w+2)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}], 'minD': '(5776)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 33362176, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '2.9895160292534784473385225914033338030', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.063197259148024981245446456250968340080', 'prec': 137}, 'root_analytic_conductor': 2.8170488445659485, 'semistable': False, 'sha': 1, 'short_class_label': '109744.2-a', 'short_label': '109744.2-a1', 'signature': [0, 1], 'tamagawa_product': 6, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 873105131165497072}