Elliptic curve data - 6.6.1081856.1-25.1-a2

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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': '2.70883', 'prec': 24}, 'abs_disc': 1081856, 'ainvs': '-1,2,2,-4,-1,1;-1,4,-2,-2,1,0;2,2,-4,-1,1,0;4,-15,-18,24,8,-6;6,-22,-37,44,15,-11', 'analytic_rank': 1, 'bad_primes': ['(-w^5+5*w^3+3*w^2-4*w-1)'], 'base_change': [], 'class_deg': 2, 'class_label': '6.6.1081856.1-25.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^5+5*w^3+3*w^2-4*w-1)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 6, 'disc': '(-7*w^5+7*w^4+33*w^3-19*w^2-26*w+16)', 'equation': '{y}^2+\\left(a^{5}-a^{4}-4a^{3}+2a^{2}+2a-1\\right){x}{y}+\\left(a^{4}-a^{3}-4a^{2}+2a+2\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+4a-1\\right){x}^{2}+\\left(-6a^{5}+8a^{4}+24a^{3}-18a^{2}-15a+4\\right){x}-11a^{5}+15a^{4}+44a^{3}-37a^{2}-22a+6', 'field_label': '6.6.1081856.1', 'galois_images': ['2B'], 'gens': ['[[-14,34,76,-76,-28,19],[-122,325,621,-679,-232,166],[1,0,0,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.086102996611054630800552116210381866158', 'prec': 137}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '763688663168/625,1257708985088/625,-759032698048/625,-1240676953472/625,57428760576/625,209401250304/625', 'label': '6.6.1081856.1-25.1-a2', 'local_data': [{'p': '(-w^5+5*w^3+3*w^2-4*w-1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 25, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(3*w^5+3*w^4-18*w^3-19*w^2+10*w+15)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 390625, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '5453.7797117806048225805228823441435660', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.086102996611054630800552116210381866158', 'prec': 137}, 'root_analytic_conductor': 121.53973448182376, 'semistable': True, 'sha': 1, 'short_class_label': '25.1-a', 'short_label': '25.1-a2', 'signature': [6, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[-1,0,11/2,-3,-2,1],[-1/4,-15/4,-1,21/4,1/2,-1],[1,0,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 157918885424383587}