Elliptic curve data - 6.6.1241125.1-41.1-a1

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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': '1.19306', 'prec': 24}, 'abs_disc': 1241125, 'ainvs': '-19,-52,-2,34,2,-5;1,-3,-1,1,0,0;1,1,0,0,0,0;-3693,-21217,-19626,22801,5149,-4178;-220717,-1338554,-1289635,1461510,337696,-269508', 'analytic_rank': 0, 'bad_primes': ['(w^4+w^3-4*w^2-3*w+1)'], 'base_change': [], 'class_deg': 7, 'class_label': '6.6.1241125.1-41.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^4+w^3-4*w^2-3*w+1)', 'conductor_label': '41.1', 'conductor_norm': 41, 'conductor_norm_factors': [41], 'degree': 6, 'disc': '(-26*w^5+42*w^4+176*w^3-166*w^2-301*w+21)', 'equation': '{y}^2+\\left(-5a^{5}+2a^{4}+34a^{3}-2a^{2}-52a-19\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-3a+1\\right){x}^{2}+\\left(-4178a^{5}+5149a^{4}+22801a^{3}-19626a^{2}-21217a-3693\\right){x}-269508a^{5}+337696a^{4}+1461510a^{3}-1289635a^{2}-1338554a-220717', 'field_label': '6.6.1241125.1', 'galois_images': ['7B.1.3'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 7], 'isogeny_matrix': [[1, 7], [7, 1]], 'jinv': '-34885214721449234564804/194754273881,360645134275870330036563/194754273881,343098620572538429827465/194754273881,-1435403563400771691241019/194754273881,-135201991016220514678646/194754273881,300039257776916723031380/194754273881', 'label': '6.6.1241125.1-41.1-a1', 'local_data': [{'p': '(w^4+w^3-4*w^2-3*w+1)', 'cp': 1, 'kod': 11, 'red': -1, 'normp': 41, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}], 'minD': '(26*w^5-42*w^4-176*w^3+166*w^2+301*w-21)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [7], 'nonmax_rad': 7, 'normdisc': 194754273881, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.55357546064756299660352397232241976964', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [7], 'reg': 1, 'root_analytic_conductor': 135.65786258923768, 'semistable': True, 'sha': 2401, 'short_class_label': '41.1-a', 'short_label': '41.1-a1', 'signature': [6, 0], 'tamagawa_product': 1, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1888960922335817548}