Elliptic curve data - 9408.bz1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9408bi', 'Clabel': '9408bi2', 'Cnumber': 2, 'abc_quality': 1.1059237401535138, 'absD': 4999796928, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -3649, 83705], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 9408, 'degree': 6240, 'elladic_images': ['13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78396075259168872071037462958', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 51, 'isogeny_degrees': [1, 13], 'jinv': [-1713910976512, 1594323], 'lmfdb_iso': '9408.bz', 'lmfdb_label': '9408.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -912, 10919], 'min_quad_twist_disc': 8, 'modell_images': ['13B.4.2'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.2', '78.56.1.?', '91.84.2.?', '546.168.9.?', '728.168.2.?', '2184.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27153757098928930484481605946', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 3136], [7, 14, 192], [13, 2, 3136]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11306880413583051515086644494', 'prec': 103}, 'szpiro_ratio': 3.9589964781579274, '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, -2, 0, 0, 0, 1, 0, 2, 0, 1, 0, -2, 0, 0, 0, 1, 0], 'aplist': [0, 1, -2, 0, 2, 1, 0, 1, 0, -4, -9, -3, 10, -5, 6, -12, -12, 10, 5, -6, 3, -1, 6, -16, 6], 'class_deg': 13, 'class_size': 2, 'conductor': 9408, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '9408.bz', 'trace_hash': 1656188713089352113}
• 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': '0.20847805289391797794286153387', 'prec': 103}, 'conductor': 9408, 'gens': [[32, 27, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.27153757098928930484481605946', 'prec': 103}], 'lmfdb_label': '9408.bz1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3576830235789360428924346042', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7926053551482377812897344654127054186', 'prec': 130}, 'tamagawa_product': 13, 'torsion_generators': [], 'xcoord_integral_points': [32, 248]}
• 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': [3, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9408.bz1'}
• ec_torsion_growth •

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

  
  
  • id: 489650
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '9408.bz1', 'torsion': [2]}
  • id: 489651
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '9408.bz1', 'torsion': [2, 2]}
  • id: 489652
    {'degree': 8, 'field': [-2352, 0, -1288, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '9408.bz1', 'torsion': [3]}
  • id: 489653
    {'degree': 12, 'field': [-3675, 0, -2744, 0, 2499, 0, -280, 0, -49, 0, 0, 0, 1], 'lmfdb_label': '9408.bz1', 'torsion': [4]}
  • id: 489654
    {'degree': 12, 'field': [366912, 0, -9397024, 0, 3077984, 0, -294112, 0, 11284, 0, -182, 0, 1], 'lmfdb_label': '9408.bz1', 'torsion': [13]}
• 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: 197905
    {'conductor': 9408, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9408.bz1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 197906
    {'conductor': 9408, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '9408.bz1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
  • id: 197907
    {'conductor': 9408, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9408.bz1', '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

  
  
  • id: 1726171
    {'adelic_gens': [[1637, 0, 0, 2183], [1091, 0, 0, 2183], [2159, 26, 2158, 27], [1663, 2158, 1664, 2157], [1819, 2158, 1807, 1845], [1, 26, 0, 1], [14, 23, 871, 1431], [14, 23, 325, 339], [485, 26, 156, 101], [2169, 2158, 2054, 1897], [1, 0, 26, 1]], 'adelic_image': '2184.336.9.?', 'conductor': 9408, 'lmfdb_label': '9408.bz1', 'prime': 0}
  • id: 45635
    {'conductor': 9408, 'elladic_image': '13.28.0.2', 'lmfdb_label': '9408.bz1', 'modell_image': '13B.4.2', 'prime': 13}
• ec_padic •

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

  
  
  • id: 394317
    {'lmfdb_iso': '9408.bz', 'p': 5, 'prec': 20, 'unit': 18109257514173, 'val': 1}
  • id: 394316
    {'lmfdb_iso': '9408.bz', 'p': 11, 'prec': 20, 'unit': 38915882375058785764, 'val': 1}
  • id: 394323
    {'lmfdb_iso': '9408.bz', 'p': 13, 'prec': 20, 'unit': 7180598058426659786644, 'val': 0}
  • id: 394326
    {'lmfdb_iso': '9408.bz', 'p': 19, 'prec': 20, 'unit': 9820748710606236552527457, 'val': -1}
  • id: 394322
    {'lmfdb_iso': '9408.bz', 'p': 29, 'prec': 20, 'unit': 620087697970018270157122363, 'val': 1}
  • id: 394319
    {'lmfdb_iso': '9408.bz', 'p': 31, 'prec': 20, 'unit': 18310358305217507987982693446, 'val': 1}
  • id: 394333
    {'lmfdb_iso': '9408.bz', 'p': 37, 'prec': 20, 'unit': 472234130982364401084262523726, 'val': 1}
  • id: 394320
    {'lmfdb_iso': '9408.bz', 'p': 41, 'prec': 20, 'unit': 20325920109266314492641093574, 'val': 2}
  • id: 394321
    {'lmfdb_iso': '9408.bz', 'p': 43, 'prec': 20, 'unit': 9122187695065169366624490172807, 'val': 1}
  • id: 394331
    {'lmfdb_iso': '9408.bz', 'p': 47, 'prec': 20, 'unit': 21779363160045982807582148875607, 'val': 1}
  • id: 394327
    {'lmfdb_iso': '9408.bz', 'p': 53, 'prec': 20, 'unit': 573608094056758886904197345448037, 'val': 1}
  • id: 394325
    {'lmfdb_iso': '9408.bz', 'p': 59, 'prec': 20, 'unit': 656321811702477864014017146243612, 'val': 1}
  • id: 394332
    {'lmfdb_iso': '9408.bz', 'p': 61, 'prec': 20, 'unit': 1626835837726339726010555309155224, 'val': 1}
  • id: 394315
    {'lmfdb_iso': '9408.bz', 'p': 67, 'prec': 20, 'unit': 47620381287037678433335870784517144, 'val': 1}
  • id: 394318
    {'lmfdb_iso': '9408.bz', 'p': 71, 'prec': 20, 'unit': 29492917956236347274905846006644473, 'val': 1}
  • id: 394328
    {'lmfdb_iso': '9408.bz', 'p': 73, 'prec': 20, 'unit': 145800702288078460749002112810719026, 'val': 1}
  • id: 394324
    {'lmfdb_iso': '9408.bz', 'p': 79, 'prec': 20, 'unit': 449892509092548187390085477325836110, 'val': 1}
  • id: 394329
    {'lmfdb_iso': '9408.bz', 'p': 83, 'prec': 20, 'unit': 2881111957322201150391612809172495051, 'val': 1}
  • id: 394330
    {'lmfdb_iso': '9408.bz', 'p': 89, 'prec': 20, 'unit': 1733269807200809849944589760373695667, 'val': 1}
  • id: 394314
    {'lmfdb_iso': '9408.bz', 'p': 97, 'prec': 20, 'unit': 19868674087850337405878970854955516881, 'val': 1}