Elliptic curve data - 2.2.85.1-68.1-a2

Formats: - HTML - YAML - JSON - 2024-05-11T10:59:41.439198

• 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': '6.5765685616629145681822294093445524203', 'prec': 130}, 'abs_disc': 85, 'ainvs': '1,1;-1,-1;1,1;-6446,1241;-194961,38090', 'analytic_rank': 0, 'bad_primes': ['(17,w+8)', '(2)'], 'base_change': ['578.a1', '850.e1'], 'class_deg': 6, 'class_label': '2.2.85.1-68.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(34,2*w+16)', 'conductor_label': '68.1', 'conductor_norm': 68, 'conductor_norm_factors': [2, 17], 'degree': 2, 'disc': '(9365376772*w-29689209870)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(1241a-6446\\right){x}+38090a-194961', 'field_label': '2.2.85.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 6, 2, 3], [6, 1, 3, 2], [2, 3, 1, 6], [3, 2, 6, 1]], 'jinv': '159661140625/48275138,0', 'label': '2.2.85.1-68.1-a2', 'local_data': [{'p': '(3,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 3, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(17,w+8)', 'cp': 12, 'kod': 16, 'red': 1, 'normp': 17, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 12, 'ord_den_j': 12}, {'p': '(2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(48275138)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': ['(3,w)'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 1238517377502485662404, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '2.2456654159513325994303703282000446601', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.3657848402359294, 'semistable': True, 'sha': 9, 'short_class_label': '68.1-a', 'short_label': '68.1-a2', 'signature': [2, 0], 'tamagawa_product': 12, 'torsion_gens': ['[[139/2,-47/4],[705/8,-47/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1128577581915811672}