Elliptic curve data - 2.2.89.1-4.1-b4

Formats: - HTML - YAML - JSON - 2024-05-20T03:54:33.438858

• 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': '0.53496115213767024240401522486556677221', 'prec': 133}, 'abs_disc': 89, 'ainvs': '1,0;-1,0;0,0;-307313,-72875;87564447,20764677', 'analytic_rank': 0, 'bad_primes': ['(w+4)', '(w-5)'], 'base_change': [], 'class_deg': 20, 'class_label': '2.2.89.1-4.1-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(398*w+2172)', 'equation': '{y}^2+{x}{y}={x}^{3}-{x}^{2}+\\left(-72875a-307313\\right){x}+20764677a+87564447', 'field_label': '2.2.89.1', 'galois_images': ['2B', '5B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 5, 10, 20], 'isogeny_matrix': [[1, 5, 20, 4, 10, 2, 20, 4], [5, 1, 4, 20, 2, 10, 4, 20], [20, 4, 1, 20, 2, 10, 4, 5], [4, 20, 20, 1, 10, 2, 5, 4], [10, 2, 2, 10, 1, 5, 2, 10], [2, 10, 10, 2, 5, 1, 10, 2], [20, 4, 4, 5, 2, 10, 1, 20], [4, 20, 5, 4, 10, 2, 20, 1]], 'jinv': '3964821399/1048576,940219731/1048576', 'label': '2.2.89.1-4.1-b4', 'local_data': [{'p': '(w+4)', 'cp': 2, 'kod': 24, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(w-5)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(398*w+2172)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': -2097152, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '10.093626831300086746793659459723527040', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 1.192198454947326, 'semistable': True, 'sha': 1, 'short_class_label': '4.1-b', 'short_label': '4.1-b4', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-845/2,-401/4],[845/4,401/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 938383935915448240}