Elliptic curve data - 2.2.5.1-81.1-a7

Formats: - HTML - YAML - JSON - 2025-03-10T22:11:34.681199

• 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': '0.58697321690548654029979273929421712342', 'prec': 133}, 'abs_disc': 5, 'ainvs': '1,1;1,0;1,0;-26,13;-51,32', 'analytic_rank': 0, 'bad_primes': ['(3)'], 'base_change': [], 'class_deg': 30, 'class_label': '2.2.5.1-81.1-a', 'class_size': 8, 'cm': -60, 'cm_type': -1, 'conductor_ideal': '(9)', 'conductor_label': '81.1', 'conductor_norm': 81, 'conductor_norm_factors': [3], 'degree': 2, 'disc': '(27)', 'equation': '{y}^2+\\left(\\phi+1\\right){x}{y}+{y}={x}^{3}+{x}^{2}+\\left(13\\phi-26\\right){x}+32\\phi-51', 'field_label': '2.2.5.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 5, 6, 10, 15, 30], 'isogeny_matrix': [[1, 15, 5, 3, 10, 6, 2, 30], [15, 1, 3, 5, 6, 10, 30, 2], [5, 3, 1, 15, 2, 30, 10, 6], [3, 5, 15, 1, 30, 2, 6, 10], [10, 6, 2, 30, 1, 15, 5, 3], [6, 10, 30, 2, 15, 1, 3, 5], [2, 30, 10, 6, 5, 3, 1, 15], [30, 2, 6, 10, 3, 5, 15, 1]], 'jinv': '10231546590,16554983445', 'label': '2.2.5.1-81.1-a7', 'local_data': [{'p': '(3)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}], 'minD': '(27)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 729, 'number': 7, 'omega': {'__RealLiteral__': 0, 'data': '23.625216251503139776435122373013713579', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3, 5], 'reg': 1, 'root_analytic_conductor': 0.5994387450738914, 'semistable': False, 'sha': 1, 'short_class_label': '81.1-a', 'short_label': '81.1-a7', 'signature': [2, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-3,2],[-3,1],[1,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 660159269427890240}