Elliptic curve data - 3.3.148.1-20.1-a1

Formats: - HTML - YAML - JSON - 2025-04-29T10:56:31.548111

• 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': '0.77052247619568588510982188104015429810', 'prec': 133}, 'abs_disc': 148, 'ainvs': '-2,-1,1;0,0,0;-1,0,1;-596,1512,1292;-17962864,45611104,38980968', 'analytic_rank': 0, 'bad_primes': ['(w^2-w-2)', '(w^2-w-1)'], 'base_change': [], 'class_deg': 24, 'class_label': '3.3.148.1-20.1-a', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2+2*w+3)', 'conductor_label': '20.1', 'conductor_norm': 20, 'conductor_norm_factors': [2, 5], 'degree': 3, 'disc': '(-4*w^2-8*w+20)', 'equation': '{y}^2+\\left(a^{2}-a-2\\right){x}{y}+\\left(a^{2}-1\\right){y}={x}^{3}+\\left(1292a^{2}+1512a-596\\right){x}+38980968a^{2}+45611104a-17962864', 'field_label': '3.3.148.1', 'galois_images': ['2B', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 3, 2, 6, 4, 12, 8, 24, 4, 12, 24, 8], [3, 1, 6, 2, 12, 4, 24, 8, 12, 4, 8, 24], [2, 6, 1, 3, 2, 6, 4, 12, 2, 6, 12, 4], [6, 2, 3, 1, 6, 2, 12, 4, 6, 2, 4, 12], [4, 12, 2, 6, 1, 3, 8, 24, 4, 12, 24, 8], [12, 4, 6, 2, 3, 1, 24, 8, 12, 4, 8, 24], [8, 24, 4, 12, 8, 24, 1, 3, 2, 6, 12, 4], [24, 8, 12, 4, 24, 8, 3, 1, 6, 2, 4, 12], [4, 12, 2, 6, 4, 12, 2, 6, 1, 3, 6, 2], [12, 4, 6, 2, 12, 4, 6, 2, 3, 1, 2, 6], [24, 8, 12, 4, 24, 8, 12, 4, 6, 2, 1, 3], [8, 24, 4, 12, 8, 24, 4, 12, 2, 6, 3, 1]], 'jinv': '9343051795654/25,-34335804621874/25,13838352792668/25', 'label': '3.3.148.1-20.1-a1', 'local_data': [{'p': '(w^2-w-2)', 'cp': 3, 'kod': -4, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(w^2-w-1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(4*w^2+8*w-20)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -6400, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '56.242862963468640273771042295146418156', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 1.7910501393019365, 'semistable': False, 'sha': 1, 'short_class_label': '20.1-a', 'short_label': '20.1-a1', 'signature': [3, 0], 'tamagawa_product': 6, 'torsion_gens': ['[[-88,222,190],[3360,-8532,-7292],[1,0,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 887753714478821169}