Elliptic curve data - 2.2.69.1-25.1-a1

Formats: - HTML - YAML - JSON - 2024-06-04T09:04:29.337198

• 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': '1.0928931174894877991461871732575358717', 'prec': 130}, 'abs_disc': 69, 'ainvs': '0,0;1,0;1,0;-847,-232;14036,3842', 'analytic_rank': 1, 'bad_primes': ['(-w+4)', '(-w-3)'], 'base_change': [], 'class_deg': 9, 'class_label': '2.2.69.1-25.1-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(5)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 2, 'disc': '(145*w-3255)', 'equation': '{y}^2+{y}={x}^{3}+{x}^{2}+\\left(-232a-847\\right){x}+3842a+14036', 'field_label': '2.2.69.1', 'galois_images': ['3B.1.1'], 'gens': ['[[13,2],[-19,-1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.36620725451732340368811679791661655195', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'jinv': '-422807160782848/1953125,-115732691419136/1953125', 'label': '2.2.69.1-25.1-a1', 'local_data': [{'p': '(-w+4)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(-w-3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(-145*w+3255)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 9765625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '12.394964787525339174904998842577262940', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.36620725451732340368811679791661655195', 'prec': 133}, 'root_analytic_conductor': 1.6597707280628171, 'semistable': True, 'sha': 1, 'short_class_label': '25.1-a', 'short_label': '25.1-a1', 'signature': [2, 0], 'tamagawa_product': 9, 'torsion_gens': ['[[32/3,3],[-16/9,-4/9],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 954091334604983538}