Elliptic curve data - 6.6.703493.1-41.4-e3

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• 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': '2.55877', 'prec': 24}, 'abs_disc': 703493, 'ainvs': '-1,14,5,-12,-1,2;4,-7,-6,6,1,-1;-5,9,11,-11,-2,2;-2,-31,-1,29,-2,-5;5,-49,-13,55,-2,-10', 'analytic_rank': 1, 'bad_primes': ['(w^5-w^4-6*w^3+4*w^2+7*w+1)'], 'base_change': [], 'class_deg': 6, 'class_label': '6.6.703493.1-41.4-e', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^5-w^4-6*w^3+4*w^2+7*w+1)', 'conductor_label': '41.4', 'conductor_norm': 41, 'conductor_norm_factors': [41], 'degree': 6, 'disc': '(8*w^5+10*w^4-37*w^3-56*w^2+28*w+26)', 'equation': '{y}^2+\\left(2a^{5}-a^{4}-12a^{3}+5a^{2}+14a-1\\right){x}{y}+\\left(2a^{5}-2a^{4}-11a^{3}+11a^{2}+9a-5\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+6a^{3}-6a^{2}-7a+4\\right){x}^{2}+\\left(-5a^{5}-2a^{4}+29a^{3}-a^{2}-31a-2\\right){x}-10a^{5}-2a^{4}+55a^{3}-13a^{2}-49a+5', 'field_label': '6.6.703493.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[15,-11,-20,15,4,-3],[55,-21,-70,34,14,-7],[1,0,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.49259532543800074765744061664164434652', 'prec': 133}], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'jinv': '-1100146408697507811/4750104241,9451172168707485868/4750104241,2208505528549032067/4750104241,-11145383118536595673/4750104241,312405531641926157/4750104241,2361415517723691336/4750104241', 'label': '6.6.703493.1-41.4-e3', 'local_data': [{'p': '(w^5-w^4-6*w^3+4*w^2+7*w+1)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 41, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(79*w^5-50*w^4-463*w^3+245*w^2+459*w-107)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -4750104241, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '4356.8269132172565763499349366187791454', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.49259532543800074765744061664164434652', 'prec': 133}, 'root_analytic_conductor': 102.1332374303807, 'semistable': True, 'sha': 1, 'short_class_label': '41.4-e', 'short_label': '41.4-e3', 'signature': [6, 0], 'tamagawa_product': 6, 'torsion_gens': ['[[-1,0,4,0,-1,0],[10,-35,-29,35,6,-6],[1,0,0,0,0,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1153660708858364002}