Elliptic curve data - 5.5.65657.1-37.1-a2

Formats: - HTML - YAML - JSON - 2024-06-04T08:02:45.763777

• 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': '1.25876359', 'prec': 34}, 'abs_disc': 65657, 'ainvs': '0,0,0,0,0;3,7,-4,-2,1;-4,-3,5,1,-1;64,239,-178,-88,49;208,779,-588,-287,162', 'analytic_rank': 0, 'bad_primes': ['(w^4-w^3-3*w^2+3*w+2)'], 'base_change': [], 'class_deg': 5, 'class_label': '5.5.65657.1-37.1-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^4-w^3-3*w^2+3*w+2)', 'conductor_label': '37.1', 'conductor_norm': 37, 'conductor_norm_factors': [37], 'degree': 5, 'disc': '(-17*w^4+28*w^3+96*w^2-101*w-107)', 'equation': '{y}^2+\\left(-a^{4}+a^{3}+5a^{2}-3a-4\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-4a^{2}+7a+3\\right){x}^{2}+\\left(49a^{4}-88a^{3}-178a^{2}+239a+64\\right){x}+162a^{4}-287a^{3}-588a^{2}+779a+208', 'field_label': '5.5.65657.1', 'galois_images': ['5B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 5], 'isogeny_matrix': [[1, 5], [5, 1]], 'jinv': '-10702583291781120/69343957,-7777196659007488/69343957,11795529019346944/69343957,3099587870568448/69343957,-2507214671425536/69343957', 'label': '5.5.65657.1-37.1-a2', 'local_data': [{'p': '(w^4-w^3-3*w^2+3*w+2)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 37, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(11*w^4+5*w^3-56*w^2-10*w+51)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 69343957, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1612.7041158955528286071271004262086025', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [5], 'reg': 1, 'root_analytic_conductor': 32.854831442806706, 'semistable': True, 'sha': 1, 'short_class_label': '37.1-a', 'short_label': '37.1-a2', 'signature': [5, 0], 'tamagawa_product': 5, 'torsion_gens': ['[[-7,-26,19,9,-5],[16,54,-42,-19,11],[1,0,0,0,0]]'], 'torsion_order': 5, 'torsion_primes': [5], 'torsion_structure': [5], 'trace_hash': 625665596723608022}