Elliptic curve data - 2.2.57.1-196.1-e3

Formats: - HTML - YAML - JSON - 2024-04-25T07:04:55.352456

• 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': '8.3775841040456309788117212499917469207', 'prec': 130}, 'abs_disc': 57, 'ainvs': '1,0;0,-1;0,1;177205,54108;72925587,22267918', 'analytic_rank': 0, 'bad_primes': ['(w-4)', '(w+3)', '(2*w+7)', '(-2*w+9)'], 'base_change': ['5054.c6', '126.b6'], 'class_deg': 18, 'class_label': '2.2.57.1-196.1-e', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(14)', 'conductor_label': '196.1', 'conductor_norm': 196, 'conductor_norm_factors': [2, 7], 'degree': 2, 'disc': '(-21952)', 'equation': '{y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\\left(54108a+177205\\right){x}+22267918a+72925587', 'field_label': '2.2.57.1', 'galois_images': ['2B', '3Cs.1.1'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 9, 3, 6, 18, 2], [9, 1, 3, 6, 2, 18], [3, 3, 1, 2, 6, 6], [6, 6, 2, 1, 3, 3], [18, 2, 6, 3, 1, 9], [2, 18, 6, 3, 9, 1]], 'jinv': '9938375/21952,0', 'label': '2.2.57.1-196.1-e3', 'local_data': [{'p': '(w-4)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(w+3)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2*w+7)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(-2*w+9)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 7, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(21952)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 481890304, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '7.0277081059000617705423007125374356141', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.524294372948246, 'semistable': True, 'sha': 1, 'short_class_label': '196.1-e', 'short_label': '196.1-e3', 'signature': [2, 0], 'tamagawa_product': 324, 'torsion_gens': ['[[644,197],[27279,8329],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1712187066148252811}