Elliptic curve data - 2.2.21.1-1875.1-x1

Formats: - HTML - YAML - JSON - 2024-04-28T06:25:06.728725

• 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': '3.5861317358984156080273546382925390893', 'prec': 130}, 'abs_disc': 21, 'ainvs': '1,0;0,0;1,0;-2751,0;-104477,0', 'analytic_rank': 1, 'bad_primes': ['(-w+2)', '(-w)', '(-w+1)'], 'base_change': ['75.b3', '11025.p3'], 'class_deg': 16, 'class_label': '2.2.21.1-1875.1-x', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-25*w+50)', 'conductor_label': '1875.1', 'conductor_norm': 1875, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(-3363025078125)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}-2751{x}-104477', 'field_label': '2.2.21.1', 'galois_images': ['2B'], 'gens': ['[[167,81/4],[15933/8,405],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.6179164228440696446436609881130530853', 'prec': 130}], 'iso_label': 'x', 'iso_nlabel': 23, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 16, 8, 4, 8, 2, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [8, 8, 1, 2, 4, 4, 8, 8], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [2, 8, 4, 2, 4, 1, 8, 2], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 8, 4, 8, 2, 16, 1]], 'jinv': '-147281603041/215233605,0', 'label': '2.2.21.1-1875.1-x1', 'local_data': [{'p': '(-w+2)', 'cp': 32, 'kod': 36, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 32, 'ord_den_j': 32}, {'p': '(-w)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(-w+1)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}], 'minD': '(3363025078125)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 11309937676097662353515625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.098084444109567028749682784705757222813', 'prec': 137}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.6179164228440696446436609881130530853', 'prec': 130}, 'root_analytic_conductor': 2.6946261426303755, 'semistable': False, 'sha': 1, 'short_class_label': '1875.1-x', 'short_label': '1875.1-x1', 'signature': [2, 0], 'tamagawa_product': 512, 'torsion_gens': ['[[167,0],[-2109,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 887565880470807571}