Elliptic curve data - 6.6.300125.1-71.2-c2

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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': '1.29032', 'prec': 24}, 'abs_disc': 300125, 'ainvs': '3,3,-5,-7,0,1;1,10,-8,-21,-1,3;2,2,-5,-7,0,1;205,710,-592,-1154,-32,160;-35,-150,-91,491,80,-79', 'analytic_rank': 0, 'bad_primes': ['(-2*w^5+w^4+14*w^3+4*w^2-9*w-4)'], 'base_change': [], 'class_deg': 6, 'class_label': '6.6.300125.1-71.2-c', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w^5+w^4+14*w^3+4*w^2-9*w-4)', 'conductor_label': '71.2', 'conductor_norm': 71, 'conductor_norm_factors': [71], 'degree': 6, 'disc': '(w^5+w^4-5*w^3-14*w^2-12*w+4)', 'equation': '{y}^2+\\left(a^{5}-7a^{3}-5a^{2}+3a+3\\right){x}{y}+\\left(a^{5}-7a^{3}-5a^{2}+2a+2\\right){y}={x}^{3}+\\left(3a^{5}-a^{4}-21a^{3}-8a^{2}+10a+1\\right){x}^{2}+\\left(160a^{5}-32a^{4}-1154a^{3}-592a^{2}+710a+205\\right){x}-79a^{5}+80a^{4}+491a^{3}-91a^{2}-150a-35', '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': '-2083391722503246749/357911,-30490423575898921834/357911,10566077573872713846/357911,612900763840498642/5041,2995509711003984271/357911,-6140993876369732421/357911', 'label': '6.6.300125.1-71.2-c2', 'local_data': [{'p': '(-2*w^5+w^4+14*w^3+4*w^2-9*w-4)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 71, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-12*w^5+5*w^4+85*w^3+28*w^2-54*w-22)', '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': '71.2-c', 'short_label': '71.2-c2', 'signature': [6, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[23,84,-57,-141,-7,20],[5,12,-15,-16,1,2],[1,0,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1860248641834019470}