Elliptic curve data - 9408.cf1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  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[]
  modm_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
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9408bc', 'Clabel': '9408bc1', 'Cnumber': 1, 'abc_quality': 0.971914776557317, 'absD': 1560674304, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [0, 1, 0, 159, 1791], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 9408, 'degree': 3840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44699364479035308461633100905', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 57, 'isogeny_degrees': [1], 'jinv': [68782, 243], 'lmfdb_iso': '9408.cf', 'lmfdb_label': '9408.cf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 40, 204], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['24.2.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.23250376316367515944867652631', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85928321917878832124230662026', 'prec': 107}, 'szpiro_ratio': 3.108889496606867, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 0, 0, 0, 1, 0, -3, 0, 4, 0, -1, 0, 0, 0, -4, 0], 'aplist': [0, 1, -1, 0, -3, 4, 0, -4, 8, 3, 5, -8, -8, -6, -10, -9, -5, -10, -6, 10, -2, 11, 7, 18, 17], 'class_deg': 1, 'class_size': 1, 'conductor': 9408, 'isogeny_matrix': [[1]], 'lmfdb_iso': '9408.cf', 'trace_hash': 1112709664631157764}
• 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': '0.40902160941452326406897574931', 'prec': 103}, 'conductor': 9408, 'gens': [[3, 48, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.23250376316367515944867652631', 'prec': 103}], 'lmfdb_label': '9408.cf1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0677704535276646808958249958', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9652129728033232429239937608316686490', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [], 'xcoord_integral_points': [-3, 3, 195]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9408.cf1'}
• ec_torsion_growth •

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

  
  
  • id: 489494
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '9408.cf1', 'torsion': [2]}
  • id: 489495
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '9408.cf1', 'torsion': [2, 2]}
  • id: 489496
    {'degree': 8, 'field': [-147, 0, -154, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '9408.cf1', 'torsion': [3]}
  • id: 489497
    {'degree': 12, 'field': [-909, -2184, -4082, -3864, -1917, -504, -148, -168, -55, 0, 6, 0, 1], 'lmfdb_label': '9408.cf1', 'torsion': [4]}
• 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: 197857
    {'conductor': 9408, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '9408.cf1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 197858
    {'conductor': 9408, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '9408.cf1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 197859
    {'conductor': 9408, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9408.cf1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[7, 2, 0, 1], [1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [13, 2, 13, 3], [1, 1, 23, 0]], 'adelic_image': '24.2.0.?', 'conductor': 9408, 'lmfdb_label': '9408.cf1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 394178
    {'lmfdb_iso': '9408.cf', 'p': 5, 'prec': 20, 'unit': 29138420030169, 'val': 0}
  • id: 394177
    {'lmfdb_iso': '9408.cf', 'p': 11, 'prec': 20, 'unit': 31764830567425833726, 'val': 1}
  • id: 394184
    {'lmfdb_iso': '9408.cf', 'p': 13, 'prec': 20, 'unit': 414211777726816662699, 'val': 1}
  • id: 394187
    {'lmfdb_iso': '9408.cf', 'p': 19, 'prec': 20, 'unit': 233376574269775820294220, 'val': 1}
  • id: 394190
    {'lmfdb_iso': '9408.cf', 'p': 23, 'prec': 20, 'unit': 71217247435683896092607988, 'val': 1}
  • id: 394183
    {'lmfdb_iso': '9408.cf', 'p': 29, 'prec': 20, 'unit': 312152287944443132891896443, 'val': 1}
  • id: 394180
    {'lmfdb_iso': '9408.cf', 'p': 31, 'prec': 20, 'unit': 10678651072526592696923183294, 'val': 1}
  • id: 394195
    {'lmfdb_iso': '9408.cf', 'p': 37, 'prec': 20, 'unit': 581247682607605037183676143947, 'val': 1}
  • id: 394181
    {'lmfdb_iso': '9408.cf', 'p': 41, 'prec': 20, 'unit': 1257153879663893512000415694986, 'val': 1}
  • id: 394182
    {'lmfdb_iso': '9408.cf', 'p': 43, 'prec': 20, 'unit': 1365329811486943843697665949688, 'val': 1}
  • id: 394192
    {'lmfdb_iso': '9408.cf', 'p': 47, 'prec': 20, 'unit': 34556977083489506855963415872140, 'val': 1}
  • id: 394188
    {'lmfdb_iso': '9408.cf', 'p': 53, 'prec': 20, 'unit': 569559402630288069347568767637862, 'val': 1}
  • id: 394186
    {'lmfdb_iso': '9408.cf', 'p': 59, 'prec': 20, 'unit': 4357372563927432342621687676752396, 'val': 1}
  • id: 394193
    {'lmfdb_iso': '9408.cf', 'p': 61, 'prec': 20, 'unit': 5971837605680959484663592180836945, 'val': 1}
  • id: 394176
    {'lmfdb_iso': '9408.cf', 'p': 67, 'prec': 20, 'unit': 36275953336927937115012459137081852, 'val': 1}
  • id: 394179
    {'lmfdb_iso': '9408.cf', 'p': 71, 'prec': 20, 'unit': 122353126857558225493044993759673795, 'val': 1}
  • id: 394189
    {'lmfdb_iso': '9408.cf', 'p': 73, 'prec': 20, 'unit': 156319770928054911695943399362273480, 'val': 1}
  • id: 394185
    {'lmfdb_iso': '9408.cf', 'p': 79, 'prec': 20, 'unit': 751496445642715480308549049832248430, 'val': 1}
  • id: 394194
    {'lmfdb_iso': '9408.cf', 'p': 83, 'prec': 20, 'unit': 20948941970232761193539941935108088, 'val': 2}
  • id: 394191
    {'lmfdb_iso': '9408.cf', 'p': 89, 'prec': 20, 'unit': 7385801344099551348242853876208858, 'val': 2}
  • id: 394175
    {'lmfdb_iso': '9408.cf', 'p': 97, 'prec': 20, 'unit': 19386517666820298720922413906671260861, 'val': 1}