Elliptic curve data - 3.3.1620.1-18.1-c1

Formats: - HTML - YAML - JSON - 2026-07-02T11:57:23.430714

• 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': '2.4518878662338783115267664151299953210', 'prec': 130}, 'abs_disc': 1620, 'ainvs': '-7,-2,1;8,2,-1;1,1,0;115644,15979,-11489;-1007426,-139214,100088', 'analytic_rank': 2, 'bad_primes': ['(w+2)', '(w+1)'], 'base_change': ['162.a2'], 'class_deg': 3, 'class_label': '3.3.1620.1-18.1-c', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2-w-8)', 'conductor_label': '18.1', 'conductor_norm': 18, 'conductor_norm_factors': [2, 3], 'degree': 3, 'disc': '(-576)', 'equation': '{y}^2+\\left(a^{2}-2a-7\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a^{2}+2a+8\\right){x}^{2}+\\left(-11489a^{2}+15979a+115644\\right){x}+100088a^{2}-139214a-1007426', 'field_label': '3.3.1620.1', 'galois_images': ['3B.1.2'], 'gens': ['[[675,93,-67],[17161,2371,-1705],[1,0,0]]', '[[341083/49,6731/7,-33883/49],[-153982681/343,-3039725/49,15298105/343],[1,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.10197829462292110456679008894485744001', 'prec': 133}, {'__RealLiteral__': 0, 'data': '1.8674495367019167155765352141116092184', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '109503/64,0,0', 'label': '3.3.1620.1-18.1-c1', 'local_data': [{'p': '(w+2)', 'cp': 2, 'kod': 22, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}, {'p': '(w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(576)', 'n_bad_primes': 2, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -191102976, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '28.306529904916538050107400395234687372', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.096843165879431886091696811443252857005', 'prec': 137}, 'root_analytic_conductor': 5.822481870754548, 'semistable': False, 'sha': 1, 'short_class_label': '18.1-c', 'short_label': '18.1-c1', 'signature': [3, 0], 'tamagawa_product': 4, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1394323375509881075}