Elliptic curve data - 2.0.23.1-27.3-a6

Formats: - HTML - YAML - JSON - 2024-06-07T00:58:25.593273

• 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': '0.66290358985693646734674145584202725706', 'prec': 133}, 'abs_disc': 23, 'ainvs': '1,0;1,1;0,0;-4,-8;43,-22', 'analytic_rank': 0, 'bad_primes': ['(3,w)', '(3,w+2)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.23.1-27.3-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(9,3*w+6)', 'conductor_label': '27.3', 'conductor_norm': 27, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(48114*a-308367)', 'equation': '{y}^2+{x}{y}={x}^3+\\left(a+1\\right){x}^2+\\left(-8a-4\\right){x}-22a+43', 'field_label': '2.0.23.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 16, 4, 8, 2, 4, 16, 8], [16, 1, 4, 2, 8, 16, 4, 8], [4, 4, 1, 2, 2, 4, 4, 2], [8, 2, 2, 1, 4, 8, 2, 4], [2, 8, 2, 4, 1, 2, 8, 4], [4, 16, 4, 8, 2, 1, 16, 8], [16, 4, 4, 2, 8, 16, 1, 8], [8, 8, 2, 4, 4, 8, 8, 1]], 'jinv': '66394340881/43046721,67902559538/43046721', 'label': '2.0.23.1-27.3-a6', 'local_data': [{'p': '(3,w)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(3,w+2)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}], 'minD': '(-48114*w+308367)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 94143178827, 'number': 6, 'omega': {'__RealLiteral__': 0, 'data': '1.5895869665765309385265600552217849236', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 0.9768849358082261, 'semistable': False, 'sha': 1, 'short_class_label': '27.3-a', 'short_label': '27.3-a6', 'signature': [0, 1], 'tamagawa_product': 4, 'torsion_gens': ['[[-5/4,-1],[5/8,1/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 135555369118405228}