Elliptic curve data - 2.2.21.1-75.1-b5

Formats: - HTML - YAML - JSON - 2025-03-07T05:30:58.463052

• 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': '1.5327784507001718123793014338966505204', 'prec': 130}, 'abs_disc': 21, 'ainvs': '0,1;1,1;1,0;-66,27;-284,104', 'analytic_rank': 1, 'bad_primes': ['(-w+2)', '(-w)', '(-w+1)'], 'base_change': ['735.c6', '45.a6'], 'class_deg': 16, 'class_label': '2.2.21.1-75.1-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-5*w+10)', 'conductor_label': '75.1', 'conductor_norm': 75, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(225)', 'equation': '{y}^2+a{x}{y}+{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(27a-66\\right){x}+104a-284', 'field_label': '2.2.21.1', 'galois_images': ['2Cs'], 'gens': ['[[62,-23],[692,-247],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.34458903841204457765673714427139682762', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 16, 8, 4, 8, 2, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [8, 8, 1, 2, 4, 4, 8, 8], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [2, 8, 4, 2, 4, 1, 8, 2], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 8, 4, 8, 2, 16, 1]], 'jinv': '13997521/225,0', 'label': '2.2.21.1-75.1-b5', 'local_data': [{'p': '(-w+2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(225)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 50625, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '10.191956926864856360574667107766048810', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.34458903841204457765673714427139682762', 'prec': 133}, 'root_analytic_conductor': 1.2050734457739127, 'semistable': True, 'sha': 1, 'short_class_label': '75.1-b', 'short_label': '75.1-b5', 'signature': [2, 0], 'tamagawa_product': 16, 'torsion_gens': ['[[-5,1],[-3,2],[1,0]]', '[[-17/4,3/4],[-19/8,7/4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 563249495687007145}