Elliptic curve data - 3.3.1620.1-25.1-a2

Formats: - HTML - YAML - JSON - 2023-03-28T11:50:02.461225

• 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': '3.8275552497235170096307443053136291856', 'prec': 130}, 'abs_disc': 1620, 'ainvs': '0,0,0;-9,-2,1;1,0,0;-5311442969,-733973258,527694250;111427353147970,15397830281951,-11070357693729', 'analytic_rank': 1, 'bad_primes': ['(w+3)', '(2*w^2-3*w-19)'], 'base_change': ['405.d2'], 'class_deg': 6, 'class_label': '3.3.1620.1-25.1-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2-3*w-3)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 3, 'disc': '(125)', 'equation': '{y}^2+{y}={x}^{3}+\\left(a^{2}-2a-9\\right){x}^{2}+\\left(527694250a^{2}-733973258a-5311442969\\right){x}-11070357693729a^{2}+15397830281951a+111427353147970', 'field_label': '3.3.1620.1', 'galois_images': ['2B', '3B.1.1'], 'gens': ['[[1591086/25,219874/25,-158076/25],[160214792/125,22139653/125,-15917422/125],[1,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.52856319426577295107040912744533411865', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 6, 2, 3], [6, 1, 3, 2], [2, 3, 1, 6], [3, 2, 6, 1]], 'jinv': '2359296/125,0,0', 'label': '3.3.1620.1-25.1-a2', 'local_data': [{'p': '(w+3)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}, {'p': '(2*w^2-3*w-19)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(125)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 1953125, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '194.30805214290759251924316910998553842', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.52856319426577295107040912744533411865', 'prec': 133}, 'root_analytic_conductor': 6.150155013494512, 'semistable': True, 'sha': 1, 'short_class_label': '25.1-a', 'short_label': '25.1-a2', 'signature': [3, 0], 'tamagawa_product': 18, 'torsion_gens': ['[[29694,4103,-2950],[6277014,867402,-623624],[1,0,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1917657145133014200}