Elliptic curve data - 6.6.300125.1-71.4-c2

Formats: - HTML - YAML - JSON - 2024-05-19T23:13:38.401310

• 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': '1.29032', 'prec': 24}, 'abs_disc': 300125, 'ainvs': '-11,-38,27,58,2,-8;-4,-9,5,8,0,-1;-2,-7,5,8,0,-1;6,88,-27,-145,-21,24;-106,-84,251,101,-92,11', 'analytic_rank': 0, 'bad_primes': ['(6*w^5-2*w^4-43*w^3-17*w^2+29*w+5)'], 'base_change': [], 'class_deg': 6, 'class_label': '6.6.300125.1-71.4-c', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6*w^5-2*w^4-43*w^3-17*w^2+29*w+5)', 'conductor_label': '71.4', 'conductor_norm': 71, 'conductor_norm_factors': [71], 'degree': 6, 'disc': '(-49*w^5+13*w^4+353*w^3+159*w^2-222*w-58)', 'equation': '{y}^2+\\left(-8a^{5}+2a^{4}+58a^{3}+27a^{2}-38a-11\\right){x}{y}+\\left(-a^{5}+8a^{3}+5a^{2}-7a-2\\right){y}={x}^{3}+\\left(-a^{5}+8a^{3}+5a^{2}-9a-4\\right){x}^{2}+\\left(24a^{5}-21a^{4}-145a^{3}-27a^{2}+88a+6\\right){x}+11a^{5}-92a^{4}+101a^{3}+251a^{2}-84a-106', 'field_label': '6.6.300125.1', 'galois_images': ['2B', '3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 6, 2, 3], [6, 1, 3, 2], [2, 3, 1, 6], [3, 2, 6, 1]], 'jinv': '-13569453503150492597/357911,-44705744028911194336/357911,37038415740266095494/357911,74885814522798141547/357911,2257127006944677009/357911,-10394847966890026874/357911', 'label': '6.6.300125.1-71.4-c2', 'local_data': [{'p': '(6*w^5-2*w^4-43*w^3-17*w^2+29*w+5)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 71, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-3*w^5-2*w^4+25*w^3+29*w^2-24*w-15)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -357911, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '34.907982152988347661509028368625290502', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 69.8330754982202, 'semistable': True, 'sha': 81, 'short_class_label': '71.4-c', 'short_label': '71.4-c2', 'signature': [6, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[14,24,-29,-39,1,5],[13,48,-30,-72,-3,10],[1,0,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1860248641834019470}