Elliptic curve data - 2.2.57.1-171.1-j3

Formats: - HTML - YAML - JSON - 2026-07-22T11:21:56.246291

• 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': '2.7065678679977524189220355979157074128', 'prec': 130}, 'abs_disc': 57, 'ainvs': '0,0;-1,-1;1,0;347,-79;114,-28', 'analytic_rank': 1, 'bad_primes': ['(4*w+13)', '(10*w-43)'], 'base_change': [], 'class_deg': 9, 'class_label': '2.2.57.1-171.1-j', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(30*w-129)', 'conductor_label': '171.1', 'conductor_norm': 171, 'conductor_norm_factors': [3, 19], 'degree': 2, 'disc': '(-513)', 'equation': '{y}^2+{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-79a+347\\right){x}-28a+114', 'field_label': '2.2.57.1', 'galois_images': ['3B'], 'gens': ['[[2,0],[-22,5],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.26278427133820030629400002365053736910', 'prec': 133}], 'iso_label': 'j', 'iso_nlabel': 9, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'jinv': '32768/19,0', 'label': '2.2.57.1-171.1-j3', 'local_data': [{'p': '(4*w+13)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(10*w-43)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(513)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 263169, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '9.7200163403750048446644692242161705379', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.26278427133820030629400002365053736910', 'prec': 133}, 'root_analytic_conductor': 2.439635863095712, 'semistable': False, 'sha': 1, 'short_class_label': '171.1-j', 'short_label': '171.1-j3', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 438528967123244327}