Elliptic curve data - 3.3.1849.1-8.1-b2

Formats: - HTML - YAML - JSON - 2024-06-16T15:49:06.819270

• 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': '1.4925234753482570010922607715010651642', 'prec': 130}, 'abs_disc': 1849, 'ainvs': '1,0,0;-4,-1/2,1/2;-5,1/2,1/2;-118695812,-521078557/2,-219683109/2;-4056508189528,-15678187411863/2,-4044776198393/2', 'analytic_rank': 0, 'bad_primes': ['(3/2*w^2-5/2*w-19)', '(1/2*w^2-1/2*w-8)', '(-w-3)'], 'base_change': [], 'class_deg': 8, 'class_label': '3.3.1849.1-8.1-b', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '8.1', 'conductor_norm': 8, 'conductor_norm_factors': [2], 'degree': 3, 'disc': '(-40*w^2+88*w+96)', 'equation': '{y}^2+{x}{y}+\\left(\\frac{1}{2}a^{2}+\\frac{1}{2}a-5\\right){y}={x}^{3}+\\left(\\frac{1}{2}a^{2}-\\frac{1}{2}a-4\\right){x}^{2}+\\left(-\\frac{219683109}{2}a^{2}-\\frac{521078557}{2}a-118695812\\right){x}-\\frac{4044776198393}{2}a^{2}-\\frac{15678187411863}{2}a-4056508189528', 'field_label': '3.3.1849.1', 'galois_images': ['2Cs'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'jinv': '6182502630031/1024,18406527088015/2048,4890658379189/2048', 'label': '3.3.1849.1-8.1-b2', 'local_data': [{'p': '(3/2*w^2-5/2*w-19)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(1/2*w^2-1/2*w-8)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}, {'p': '(-w-3)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(-40*w^2+88*w+96)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 4194304, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '8.0223136799968813808709016468182252577', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 5.434029689601401, 'semistable': True, 'sha': 4, 'short_class_label': '8.1-b', 'short_label': '8.1-b2', 'signature': [3, 0], 'tamagawa_product': 32, 'torsion_gens': ['[[6395,21607/2,1327/2],[-3195,-5402,-332],[1,0,0]]', '[[-14087/4,-46875/8,-1715/8],[14107/8,46871/16,1711/16],[1,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 2055998100214993850}