Elliptic curve data - 4.4.8000.1-44.3-c1

Formats: - HTML - YAML - JSON - 2026-03-12T10:24:22.874678

• 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': '1.75986879920339', 'prec': 54}, 'abs_disc': 8000, 'ainvs': '-2,1,1/2,0;-4,-1,1/2,0;-3,-2,1/2,1/2;-2043,2093,84,-725/2;50295,-47418,-6019/2,16043/2', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(w^2+w-4)'], 'base_change': [], 'class_deg': 5, 'class_label': '4.4.8000.1-44.3-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1/2*w^3-4*w+2)', 'conductor_label': '44.3', 'conductor_norm': 44, 'conductor_norm_factors': [2, 11], 'degree': 4, 'disc': '(112*w^3-32*w^2-736*w+992)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{2}+a-2\\right){x}{y}+\\left(\\frac{1}{2}a^{3}+\\frac{1}{2}a^{2}-2a-3\\right){y}={x}^{3}+\\left(\\frac{1}{2}a^{2}-a-4\\right){x}^{2}+\\left(-\\frac{725}{2}a^{3}+84a^{2}+2093a-2043\\right){x}+\\frac{16043}{2}a^{3}-\\frac{6019}{2}a^{2}-47418a+50295', 'field_label': '4.4.8000.1', 'galois_images': ['5B.1.1[2]'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-1698298487829369807297/5153632,-512061398417822917321/2576816,464347704777436882827/10307264,281183083468886505669/10307264', 'label': '4.4.8000.1-44.3-c1', 'local_data': [{'p': '(w+1)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(w^2+w-4)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(112*w^3-32*w^2-736*w+992)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 168874213376, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '78.703725329994026729391425184452999576', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 12.826705738426657, 'semistable': True, 'sha': 1, 'short_class_label': '44.3-c', 'short_label': '44.3-c1', 'signature': [4, 0], 'tamagawa_product': 50, 'torsion_gens': ['[[22,-20,-7/10,17/5],[79,-157/5,-14,13/5],[1,0,0,0]]'], 'torsion_order': 5, 'torsion_primes': [5], 'torsion_structure': [5], 'trace_hash': 427091887237210467}