Elliptic curve data - 2.0.3.1-27075.2-c2

Formats: - HTML - YAML - JSON - 2026-07-13T03:53:31.978881

• 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': '2.4559816785074074415461475605697237324', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,1;0,0;0,0;0,76;-19,0', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-5*w+3)', '(-5*w+2)', '(5)'], 'base_change': ['285.a1', '855.c1'], 'class_deg': 2, 'class_label': '2.0.3.1-27075.2-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-190*w+95)', 'conductor_label': '27075.2', 'conductor_norm': 27075, 'conductor_norm_factors': [3, 5, 19], 'degree': 2, 'disc': '(28048275)', 'equation': '{y}^2+a{x}{y}={x}^{3}+76a{x}-19', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[7,-7],[-17,0],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.13482717795889418687569402828090256769', 'prec': 133}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '48587168449/28048275,0', 'label': '2.0.3.1-27075.2-c2', 'local_data': [{'p': '(-2*w+1)', 'cp': 20, 'kod': 24, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 20, 'ord_den_j': 20}, {'p': '(-5*w+3)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-5*w+2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(5)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 25, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(28048275)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 786705730475625, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.78876624024016080267456130892849167706', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.13482717795889418687569402828090256769', 'prec': 133}, 'root_analytic_conductor': 1.9853692777947531, 'semistable': True, 'sha': 1, 'short_class_label': '27075.2-c', 'short_label': '27075.2-c2', 'signature': [0, 1], 'tamagawa_product': 40, 'torsion_gens': ['[[1/4,-1/4],[-1/8,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1465655961656332408}