Elliptic curve data - 2.2.56.1-10.2-c1

Formats: - HTML - YAML - JSON - 2024-04-28T15:43:43.462515

• 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': '2.0591985216127295013337256651752767828', 'prec': 130}, 'abs_disc': 56, 'ainvs': '1,1;0,-1;0,0;-4941,-1285;182431,48650', 'analytic_rank': 1, 'bad_primes': ['(-w+4)', '(-w-3)'], 'base_change': [], 'class_deg': 5, 'class_label': '2.2.56.1-10.2-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w+2)', 'conductor_label': '10.2', 'conductor_norm': 10, 'conductor_norm_factors': [2, 5], 'degree': 2, 'disc': '(2*w+6)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^{3}-a{x}^{2}+\\left(-1285a-4941\\right){x}+48650a+182431', 'field_label': '2.2.56.1', 'galois_images': ['5B.4.2'], 'gens': ['[[20,4],[-169,-47],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.27200247337390478371354217345331712666', 'prec': 133}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '26620682081199569989/10,-7114676554418062503/10', 'label': '2.2.56.1-10.2-c1', 'local_data': [{'p': '(-w+4)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w-3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-2*w-6)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': -20, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '14.163134738548721329178436662472233718', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [5], 'reg': {'__RealLiteral__': 0, 'data': '0.27200247337390478371354217345331712666', 'prec': 133}, 'root_analytic_conductor': 1.189138847156719, 'semistable': True, 'sha': 1, 'short_class_label': '10.2-c', 'short_label': '10.2-c1', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1639812700310630281}