Elliptic curve data - 2.2.57.1-256.1-a1

Formats: - HTML - YAML - JSON - 2024-04-25T01:47:24.783821

• 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': '4.0595071670900881678429977241263958297', 'prec': 130}, 'abs_disc': 57, 'ainvs': '0,0;-1,-1;0,0;-33672998,-10282063;114251923320,34886965210', 'analytic_rank': 0, 'bad_primes': ['(w-4)', '(w+3)'], 'base_change': [], 'class_deg': 21, 'class_label': '2.2.57.1-256.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(16)', 'conductor_label': '256.1', 'conductor_norm': 256, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-24576*w-81920)', 'equation': '{y}^2={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-10282063a-33672998\\right){x}+34886965210a+114251923320', 'field_label': '2.2.57.1', 'galois_images': ['3B', '7B.6.3'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 7, 21], 'isogeny_matrix': [[1, 3, 7, 21], [3, 1, 21, 7], [7, 21, 1, 3], [21, 7, 3, 1]], 'jinv': '-960141789432972248487021/8,-293180476215589246298781/8', 'label': '2.2.57.1-256.1-a1', 'local_data': [{'p': '(w-4)', 'cp': 4, 'kod': -11, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 15, 'ord_den_j': 3}, {'p': '(w+3)', 'cp': 4, 'kod': -9, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 13, 'ord_den_j': 1}], 'minD': '(24576*w+81920)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3, 7], 'nonmax_rad': 21, 'normdisc': 268435456, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.9155379375203222958241823315326228991', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3, 7], 'reg': 1, 'root_analytic_conductor': 2.6985841962667707, 'semistable': False, 'sha': 1, 'short_class_label': '256.1-a', 'short_label': '256.1-a1', 'signature': [2, 0], 'tamagawa_product': 16, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 287298652293280435}