Elliptic curve data - 4.4.19225.1-29.1-a1

Formats: - HTML - YAML - JSON - 2024-05-21T13:47:26.003270

• 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': '2.39883399802785', 'prec': 54}, 'abs_disc': 19225, 'ainvs': '8,-5/2,-3/2,1/2;32,-21/2,-11/2,3/2;-14,7/2,5/2,-1/2;-1112,433,194,-59;7616,-2899,-1360,406', 'analytic_rank': 1, 'bad_primes': ['(w+1)'], 'base_change': [], 'class_deg': 1, 'class_label': '4.4.19225.1-29.1-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w+1)', 'conductor_label': '29.1', 'conductor_norm': 29, 'conductor_norm_factors': [29], 'degree': 4, 'disc': '(27*w^3-95*w^2-169*w+475)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{3}-\\frac{3}{2}a^{2}-\\frac{5}{2}a+8\\right){x}{y}+\\left(-\\frac{1}{2}a^{3}+\\frac{5}{2}a^{2}+\\frac{7}{2}a-14\\right){y}={x}^{3}+\\left(\\frac{3}{2}a^{3}-\\frac{11}{2}a^{2}-\\frac{21}{2}a+32\\right){x}^{2}+\\left(-59a^{3}+194a^{2}+433a-1112\\right){x}+406a^{3}-1360a^{2}-2899a+7616', 'field_label': '4.4.19225.1', 'galois_images': ['3Ns'], 'gens': ['[[302,-117,-53,16],[3098,-1186,-547,164],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.38564899147636837026120357769596824229', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '1539517303357/24389,880560775027/24389,-59701564825/24389,-66138876736/24389', 'label': '4.4.19225.1-29.1-a1', 'local_data': [{'p': '(w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 29, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(1/2*w^3-3/2*w^2-21/2*w+35)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -24389, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '71.872031994433629459578194021091019630', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.38564899147636837026120357769596824229', 'prec': 133}, 'root_analytic_conductor': 18.874327108604408, 'semistable': True, 'sha': 1, 'short_class_label': '29.1-a', 'short_label': '29.1-a1', 'signature': [4, 0], 'tamagawa_product': 3, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 217205295972687374}