Elliptic curve data - 6.6.434581.1-71.1-a3

Formats: - HTML - YAML - JSON - 2024-05-28T00:32:44.993315

• 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': '1.37795', 'prec': 24}, 'abs_disc': 434581, 'ainvs': '-2,3,5,-4,-2,1;-2,-3,6,-1,-3,1;-1,2,7,-6,-4,2;-14,-1,51,-10,-30,10;6,17,-39,-31,55,-15', 'analytic_rank': 0, 'bad_primes': ['(2*w^5-6*w^4-4*w^3+17*w^2-w-6)'], 'base_change': [], 'class_deg': 6, 'class_label': '6.6.434581.1-71.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w^5-6*w^4-4*w^3+17*w^2-w-6)', 'conductor_label': '71.1', 'conductor_norm': 71, 'conductor_norm_factors': [71], 'degree': 6, 'disc': '(44*w^5-122*w^4-123*w^3+345*w^2+64*w-92)', 'equation': '{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-3a-2\\right){x}^{2}+\\left(10a^{5}-30a^{4}-10a^{3}+51a^{2}-a-14\\right){x}-15a^{5}+55a^{4}-31a^{3}-39a^{2}+17a+6', 'field_label': '6.6.434581.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'jinv': '5541195868726527748/128100283921,13171892585884276804/128100283921,-17202576339060202666/128100283921,-34215233218956422760/128100283921,9262831648934631201/128100283921,14623190787592690023/128100283921', 'label': '6.6.434581.1-71.1-a3', 'local_data': [{'p': '(2*w^5-6*w^4-4*w^3+17*w^2-w-6)', 'cp': 2, 'kod': 10, 'red': -1, 'normp': 71, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(44*w^5-122*w^4-123*w^3+345*w^2+64*w-92)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -128100283921, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '1816.7612665449279146037908700641215333', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 84.03214510986909, 'semistable': True, 'sha': 1, 'short_class_label': '71.1-a', 'short_label': '71.1-a3', 'signature': [6, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[1/2,7/4,-11/4,-1/2,7/4,-1/2],[-1/8,-7/8,-21/8,3,3/2,-7/8],[1,0,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1738601983656161736}