Elliptic curve data - 9408.cb3

Formats: - HTML - YAML - JSON - 2022-08-10T17:50:14.548974

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9408da', 'Clabel': '9408da1', 'Cnumber': 1, 'absD': 4269246912, 'ainvs': [0, 1, 0, -604, -4978], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9408, 'degree': 6144, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56774825626097227778941137476', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4], 'jinv': [3241792, 567], 'lmfdb_iso': '9408.cb', 'lmfdb_label': '9408.cb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -49, -95], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75178040854665702947188105769', 'prec': 107}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 1, 0, -2, 0, 0, 0, 1, 0, 4, 0, -6, 0, -2, 0, 2, 0, 4, 0], 'aplist': [0, 1, -2, 0, 4, -6, 2, 4, -4, 2, -8, 10, 2, -8, 0, 10, -12, 10, 8, 12, -2, 0, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 9408, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '9408.cb', 'trace_hash': 1923076707290880354}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.32126257083900603252105584921', 'prec': 103}, 'conductor': 9408, 'gens': [], 'heights': [], 'lmfdb_label': '9408.cb3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.97442366224165260051545132175', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9488473244833052010309026434989267750', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-19, 0, 1]], 'xcoord_integral_points': [-19]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '9408.cb3'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 490541
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [2, 2]}
  • id: 490543
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [4]}
  • id: 490542
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [4]}
  • id: 490544
    {'degree': 4, 'field': [9, 0, 8, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [2, 4]}
  • id: 490548
    {'degree': 8, 'field': [-2352, 0, -1792, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [6]}
  • id: 490545
    {'degree': 8, 'field': [1, 0, -4, 0, -1, 0, -4, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [2, 4]}
  • id: 490546
    {'degree': 8, 'field': [81, 0, -126, 0, 73, 0, -14, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [8]}
  • id: 490547
    {'degree': 8, 'field': [1521, 0, 564, 0, 178, 0, -20, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [8]}
  • id: 490549
    {'degree': 16, 'field': [16, 0, 0, 0, -24, 0, 0, 0, 73, 0, 0, 0, 15, 0, 0, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [4, 4]}
  • id: 490550
    {'degree': 16, 'field': [81, 108, -72, -108, 480, -1464, 2116, -1484, 489, -64, -40, 60, -10, -28, 24, -8, 1], 'lmfdb_label': '9408.cb3', 'torsion': [2, 8]}
  • id: 490552
    {'degree': 16, 'field': [1233, -23964, 29558, -115496, 3614, 145496, -131498, 39944, 15975, -15228, 1878, 1408, -556, 100, -8, -4, 1], 'lmfdb_label': '9408.cb3', 'torsion': [2, 6]}
  • id: 490554
    {'degree': 16, 'field': [1764, 0, 28224, 0, 14112, 0, -12376, 0, 1484, 0, 56, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [12]}
  • id: 490551
    {'degree': 16, 'field': [3249, 228, -2492, 4280, -2024, -108, -3384, -6036, 6919, 1556, 2104, 108, 216, -24, 28, -4, 1], 'lmfdb_label': '9408.cb3', 'torsion': [2, 8]}
  • id: 490553
    {'degree': 16, 'field': [86436, 0, 197568, 0, 127008, 0, 16856, 0, 2156, 0, 392, 0, 196, 0, 28, 0, 1], 'lmfdb_label': '9408.cb3', 'torsion': [12]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 198178
    {'conductor': 9408, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9408.cb3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 198179
    {'conductor': 9408, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9408.cb3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 198180
    {'conductor': 9408, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '9408.cb3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 9408, 'elladic_image': '8.12.0.7', 'lmfdb_label': '9408.cb3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9408.cb does not appear in ec_padic