Elliptic curve data - 4.4.13676.1-10.1-f2

Formats: - HTML - YAML - JSON - 2024-05-24T01:00:01.684286

• 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': '2.22183637346708', 'prec': 54}, 'abs_disc': 13676, 'ainvs': '-1,-4,1,1;-1,1,0,0;2,-5,0,1;-62,-419,550,-159;-2459,-16030,21059,-6046', 'analytic_rank': 0, 'bad_primes': ['(w^3+w^2-4*w)', '(w^3-5*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '4.4.13676.1-10.1-f', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w+1)', 'conductor_label': '10.1', 'conductor_norm': 10, 'conductor_norm_factors': [2, 5], 'degree': 4, 'disc': '(w^2+2*w+1)', 'equation': '{y}^2+\\left(a^{3}+a^{2}-4a-1\\right){x}{y}+\\left(a^{3}-5a+2\\right){y}={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-159a^{3}+550a^{2}-419a-62\\right){x}-6046a^{3}+21059a^{2}-16030a-2459', 'field_label': '4.4.13676.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'f', 'iso_nlabel': 5, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 4, 8, 8, 2, 4], [4, 1, 8, 8, 2, 4], [8, 8, 1, 4, 4, 2], [8, 8, 4, 1, 4, 2], [2, 2, 4, 4, 1, 2], [4, 4, 2, 2, 2, 1]], 'jinv': '-461775617853395749497/25,-6887802003231142698469/50,2387015629041994958053/50,2016692964562557336251/50', 'label': '4.4.13676.1-10.1-f2', 'local_data': [{'p': '(w^3+w^2-4*w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(w^3-5*w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(w^3-3*w-2)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 100, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '259.83139102200303578339911859847985677', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 13.935357015915839, 'semistable': True, 'sha': 4, 'short_class_label': '10.1-f', 'short_label': '10.1-f2', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[7,-21/2,9/2,-1/2],[123/4,48,-85,103/4],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 763617146201916186}