Elliptic curve data - 4.4.1957.1-441.1-c3

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• 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': '1.35005059712648', 'prec': 54}, 'abs_disc': 1957, 'ainvs': '-2,-1,1,0;0,-5,0,1;-2,-1,1,0;-135,-2351,-161,653;3620,24858,1756,-7041', 'analytic_rank': 0, 'bad_primes': ['(w^3-4*w)', '(w^2-2)'], 'base_change': [], 'class_deg': 24, 'class_label': '4.4.1957.1-441.1-c', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(2*w^3-2*w^2-8*w-1)', 'conductor_label': '441.1', 'conductor_norm': 441, 'conductor_norm_factors': [3, 7], 'degree': 4, 'disc': '(-147348371*w^3-20080479*w^2+494554109*w-822560172)', 'equation': '{y}^2+\\left(a^{2}-a-2\\right){x}{y}+\\left(a^{2}-a-2\\right){y}={x}^{3}+\\left(a^{3}-5a\\right){x}^{2}+\\left(653a^{3}-161a^{2}-2351a-135\\right){x}-7041a^{3}+1756a^{2}+24858a+3620', 'field_label': '4.4.1957.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 2, 4, 4, 8, 8, 3, 12, 24, 24, 12, 6], [2, 1, 2, 2, 4, 4, 6, 6, 12, 12, 6, 3], [4, 2, 1, 4, 8, 8, 12, 12, 24, 24, 3, 6], [4, 2, 4, 1, 2, 2, 12, 3, 6, 6, 12, 6], [8, 4, 8, 2, 1, 4, 24, 6, 12, 3, 24, 12], [8, 4, 8, 2, 4, 1, 24, 6, 3, 12, 24, 12], [3, 6, 12, 12, 24, 24, 1, 4, 8, 8, 4, 2], [12, 6, 12, 3, 6, 6, 4, 1, 2, 2, 4, 2], [24, 12, 24, 6, 12, 3, 8, 2, 1, 4, 8, 4], [24, 12, 24, 6, 3, 12, 8, 2, 4, 1, 8, 4], [12, 6, 3, 12, 24, 24, 4, 4, 8, 8, 1, 2], [6, 3, 6, 6, 12, 12, 2, 2, 4, 4, 2, 1]], 'jinv': '230385512085604356994786103257239902/9384442261550973912914558289,116960169615559391050979984902302073/3128147420516991304304852763,-36191380838537641287089198334152081/9384442261550973912914558289,-91305470986913768828360282696367059/9384442261550973912914558289', 'label': '4.4.1957.1-441.1-c3', 'local_data': [{'p': '(w^3-4*w)', 'cp': 4, 'kod': -52, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 54, 'ord_den_j': 48}, {'p': '(w^2-2)', 'cp': 2, 'kod': -10, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 12, 'ord_den_j': 6}], 'minD': '(-147348371*w^3-20080479*w^2+494554109*w-822560172)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -804867210521694476282873468875926969, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '1.8663602652787095516090352405282322085', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 8.462307256737564, 'semistable': False, 'sha': 16, 'short_class_label': '441.1-c', 'short_label': '441.1-c3', 'signature': [4, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[69/4,31/4,-33/4,-1/2],[115/8,41/2,9/4,-15/2],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 965587453872808294}