Elliptic curve data - 6.6.1229312.1-8.1-c3

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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': '0.969355', 'prec': 27}, 'abs_disc': 1229312, 'ainvs': '-2,1,1/2,0,0,0;-2,2,2,-2,-1/4,1/4;-2,-3,1/2,1/2,0,0;-68,95,37,-46,-17/4,19/4;254,-414,-243/2,199,49/4,-21', 'analytic_rank': 0, 'bad_primes': ['(1/4*w^5-2*w^3+3*w)'], 'base_change': ['2.2.8.1-98.2-b2'], 'class_deg': 21, 'class_label': '6.6.1229312.1-8.1-c', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1/4*w^5-2*w^3+3*w)', 'conductor_label': '8.1', 'conductor_norm': 8, 'conductor_norm_factors': [2], 'degree': 6, 'disc': '(-1/4*w^5+2*w^3-3*w)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{2}+a-2\\right){x}{y}+\\left(\\frac{1}{2}a^{3}+\\frac{1}{2}a^{2}-3a-2\\right){y}={x}^{3}+\\left(\\frac{1}{4}a^{5}-\\frac{1}{4}a^{4}-2a^{3}+2a^{2}+2a-2\\right){x}^{2}+\\left(\\frac{19}{4}a^{5}-\\frac{17}{4}a^{4}-46a^{3}+37a^{2}+95a-68\\right){x}-21a^{5}+\\frac{49}{4}a^{4}+199a^{3}-\\frac{243}{2}a^{2}-414a+254', 'field_label': '6.6.1229312.1', 'galois_images': ['3B.1.1', '7B.6.1[3]'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 3, 7, 21], 'isogeny_matrix': [[1, 7, 3, 21], [7, 1, 21, 3], [3, 21, 1, 7], [21, 3, 7, 1]], 'jinv': '-574009,2259141/2,0,-753047,0,753047/8', 'label': '6.6.1229312.1-8.1-c3', 'local_data': [{'p': '(1/4*w^5-2*w^3+3*w)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 8, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(1/4*w^5-2*w^3+3*w)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3, 7], 'nonmax_rad': 21, 'normdisc': 8, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '9672.8917555108039030919381529492494567', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3, 7], 'reg': 1, 'root_analytic_conductor': 117.82219599274072, 'semistable': True, 'sha': 1, 'short_class_label': '8.1-c', 'short_label': '8.1-c3', 'signature': [6, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[5,-2,-2,1/2,1/4,0],[11,-2,-13/2,2,3/4,-1/4],[1,0,0,0,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 359677162262099647}