Elliptic curve data - 3.3.81.1-8.1-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': '0.29236646593300151539140377191827674932', 'prec': 133}, 'abs_disc': 81, 'ainvs': '0,1,0;-1,0,0;-1,0,1;-360486,-43189,125040;-161952511,-19527401,56242078', 'analytic_rank': 0, 'bad_primes': ['(2)'], 'base_change': ['162.c2'], 'class_deg': 21, 'class_label': '3.3.81.1-8.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '8.1', 'conductor_norm': 8, 'conductor_norm_factors': [2], 'degree': 3, 'disc': '(-2097152)', 'equation': '{y}^2+a{x}{y}+\\left(a^{2}-1\\right){y}={x}^{3}-{x}^{2}+\\left(125040a^{2}-43189a-360486\\right){x}+56242078a^{2}-19527401a-161952511', 'field_label': '3.3.81.1', 'galois_images': ['3B.1.1', '7B.1.3'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 7, 21], 'isogeny_matrix': [[1, 7, 3, 21], [7, 1, 21, 3], [3, 21, 1, 7], [21, 3, 7, 1]], 'jinv': '-1159088625/2097152,0,0', 'label': '3.3.81.1-8.1-a2', 'local_data': [{'p': '(2)', 'cp': 21, 'kod': 25, 'red': 1, 'normp': 8, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 21, 'ord_den_j': 21}], 'minD': '(2097152)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3, 7], 'nonmax_rad': 21, 'normdisc': -9223372036854775808, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.1276992257415772736525574059704960331', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3, 7], 'reg': 1, 'root_analytic_conductor': 1.137355051311921, 'semistable': True, 'sha': 1, 'short_class_label': '8.1-a', 'short_label': '8.1-a2', 'signature': [3, 0], 'tamagawa_product': 21, 'torsion_gens': ['[[3601/3,125,-1219/3],[-94685/3,-11812/3,33091/3],[1,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1728148433911072911}