Elliptic curve data - 2.2.57.1-4.1-d4

Formats: - HTML - YAML - JSON - 2026-06-25T03:42:04.825508

• 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': '1.5161131140595050345675343702079378807', 'prec': 130}, 'abs_disc': 57, 'ainvs': '1,0;1,-1;1,1;-1017,238;-25743,6020', 'analytic_rank': 0, 'bad_primes': ['(w-4)', '(w+3)'], 'base_change': [], 'class_deg': 21, 'class_label': '2.2.57.1-4.1-d', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2)', 'conductor_label': '4.1', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 2, 'disc': '(-384*w-16256)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(238a-1017\\right){x}+6020a-25743', 'field_label': '2.2.57.1', 'galois_images': ['3B', '7B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 3, 7, 21], 'isogeny_matrix': [[1, 3, 7, 21], [3, 1, 21, 7], [7, 21, 1, 3], [21, 7, 3, 1]], 'jinv': '-503450019/1048576,699691689/2097152', 'label': '2.2.57.1-4.1-d4', 'local_data': [{'p': '(w-4)', 'cp': 7, 'kod': 11, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 7, 'ord_den_j': 7}, {'p': '(w+3)', 'cp': 21, 'kod': 25, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 21, 'ord_den_j': 21}], 'minD': '(384*w+16256)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3, 7], 'nonmax_rad': 21, 'normdisc': 268435456, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '3.8154676654306736385473382296769040932', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3, 7], 'reg': 1, 'root_analytic_conductor': 0.9540935923915413, 'semistable': True, 'sha': 1, 'short_class_label': '4.1-d', 'short_label': '4.1-d4', 'signature': [2, 0], 'tamagawa_product': 147, 'torsion_gens': ['[[219,-51],[4182,-979],[1,0]]'], 'torsion_order': 7, 'torsion_primes': [7], 'torsion_structure': [7], 'trace_hash': 369474799736995269}