Elliptic curve data - 2.2.40.1-135.3-d1

Formats: - HTML - YAML - JSON - 2025-01-24T23:41:26.813609

• 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': '3.1253153403705000282676856882018262769', 'prec': 130}, 'abs_disc': 40, 'ainvs': '0,0;-1,1;0,0;-15,-6;-15,-5', 'analytic_rank': 1, 'bad_primes': ['(3,w+2)', '(5,w)'], 'base_change': [], 'class_deg': 3, 'class_label': '2.2.40.1-135.3-d', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-4*w-5)', 'conductor_label': '135.3', 'conductor_norm': 135, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(320*w+11200)', 'equation': '{y}^2={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-6a-15\\right){x}-5a-15', 'field_label': '2.2.40.1', 'galois_images': ['3B.1.1'], 'gens': ['[[-3,-1],[2,1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.36797748346238671494360870786725781030', 'prec': 133}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '-32768/5,65536/25', 'label': '2.2.40.1-135.3-d1', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3,w+2)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 3, 'rootno': 1, 'ord_cond': 3, 'ord_disc': 5, 'ord_den_j': 0}, {'p': '(5,w)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-5*w-175)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(2,w)'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -124416000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '26.857933775845776690992336928600160156', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.36797748346238671494360870786725781030', 'prec': 133}, 'root_analytic_conductor': 1.926424492835531, 'semistable': False, 'sha': 1, 'short_class_label': '135.3-d', 'short_label': '135.3-d1', 'signature': [2, 0], 'tamagawa_product': 9, 'torsion_gens': ['[[5,1],[-10,-3],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1467114372161623473}