Elliptic curve data - 405.a1

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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': '405f', 'Clabel': '405f1', 'Cnumber': 1, 'abc_quality': 0.7777818305444921, 'absD': 405, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10, 'ainvs': [0, 0, 1, -3, -2], 'analytic_rank': 1, 'bad_primes': [3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 405, 'degree': 24, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.77249725762989049464987335274', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [36864, 5], 'lmfdb_iso': '405.a', 'lmfdb_label': '405.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -3, -2], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['10.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27227701350451633870004693816', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 8, 5], [5, 6, 81]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1387013538525937251149550984', 'prec': 103}, 'szpiro_ratio': 2.483297858884166, '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, -2, 0, 2, -1, 0, 0, 0, 0, 2, -5, 0, 4, 0, 0, -4, 4, 0, -5, -2], 'aplist': [-2, 0, -1, 0, -5, 4, 4, -5, -6, 5, -9, -10, -7, -2, -2, -8, 1, -2, 6, -1, -8, 12, -6, 9, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 405, 'isogeny_matrix': [[1]], 'lmfdb_iso': '405.a', 'trace_hash': 1273613303000412632}
• 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': '4.6879459147859973660696304833', 'prec': 100}, 'conductor': 405, 'gens': [[-1, 0, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.27227701350451633870004693816', 'prec': 103}], 'lmfdb_label': '405.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.6601877914792687903377821645', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.99658500072966670116902613832923534170', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [-1, 2, 77]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1, 0], '3': 'a', '5': [3, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '405.a1'}
• ec_torsion_growth •

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

  
  
  • id: 17777
    {'degree': 3, 'field': [-14, -12, 0, 1], 'lmfdb_label': '405.a1', 'torsion': [2]}
  • id: 17778
    {'degree': 6, 'field': [-20, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '405.a1', 'torsion': [2, 2]}
  • id: 17779
    {'degree': 8, 'field': [-1, -4, 4, 1, -2, -1, 5, -4, 1], 'lmfdb_label': '405.a1', 'torsion': [3]}
  • id: 17780
    {'degree': 12, 'field': [-6, -324, -348, -316, -462, -132, 276, 204, 12, -34, -12, 0, 1], 'lmfdb_label': '405.a1', '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: 4183
    {'conductor': 405, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '405.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4184
    {'conductor': 405, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '405.a1', 'prime': 5, 'reduction_type': -1, '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': [[1, 2, 0, 1], [9, 2, 8, 3], [1, 0, 2, 1], [7, 2, 7, 3], [1, 1, 9, 0]], 'adelic_image': '10.2.0.?', 'conductor': 405, 'lmfdb_label': '405.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5440
    {'lmfdb_iso': '405.a', 'p': 11, 'prec': 20, 'unit': 56851976031245742574, 'val': 1}
  • id: 5446
    {'lmfdb_iso': '405.a', 'p': 13, 'prec': 20, 'unit': 54966479970211156318, 'val': 1}
  • id: 5448
    {'lmfdb_iso': '405.a', 'p': 17, 'prec': 20, 'unit': 121416891126501282165896, 'val': 1}
  • id: 5449
    {'lmfdb_iso': '405.a', 'p': 19, 'prec': 20, 'unit': 55166296792383437898740, 'val': 1}
  • id: 5453
    {'lmfdb_iso': '405.a', 'p': 23, 'prec': 20, 'unit': 69719280308012215677014568, 'val': 1}
  • id: 5445
    {'lmfdb_iso': '405.a', 'p': 29, 'prec': 20, 'unit': 23259865224859043432967673, 'val': 2}
  • id: 5458
    {'lmfdb_iso': '405.a', 'p': 31, 'prec': 20, 'unit': 8217845224441680318531690795, 'val': 1}
  • id: 5441
    {'lmfdb_iso': '405.a', 'p': 37, 'prec': 20, 'unit': 476775725524155400128942931314, 'val': 1}
  • id: 5443
    {'lmfdb_iso': '405.a', 'p': 41, 'prec': 20, 'unit': 2932571634691986214954011720942, 'val': 1}
  • id: 5444
    {'lmfdb_iso': '405.a', 'p': 43, 'prec': 20, 'unit': 1704026196609620300389418979978, 'val': 1}
  • id: 5455
    {'lmfdb_iso': '405.a', 'p': 47, 'prec': 20, 'unit': 32241819214574202193579651804910, 'val': 1}
  • id: 5450
    {'lmfdb_iso': '405.a', 'p': 53, 'prec': 20, 'unit': 218702505122109378607517581158827, 'val': 1}
  • id: 5451
    {'lmfdb_iso': '405.a', 'p': 59, 'prec': 20, 'unit': 236648183226578659839901938115333273, 'val': 0}
  • id: 5456
    {'lmfdb_iso': '405.a', 'p': 61, 'prec': 20, 'unit': 2702918347053449625330706151067743, 'val': 1}
  • id: 5439
    {'lmfdb_iso': '405.a', 'p': 67, 'prec': 20, 'unit': 26767580826937936271755814119043190, 'val': 1}
  • id: 5442
    {'lmfdb_iso': '405.a', 'p': 71, 'prec': 20, 'unit': 16450982499935174825067032830195536, 'val': 1}
  • id: 5452
    {'lmfdb_iso': '405.a', 'p': 73, 'prec': 20, 'unit': 92180306700362897229709340540958565, 'val': 1}
  • id: 5447
    {'lmfdb_iso': '405.a', 'p': 79, 'prec': 20, 'unit': 646863328186269539577186352599127479, 'val': 1}
  • id: 5457
    {'lmfdb_iso': '405.a', 'p': 83, 'prec': 20, 'unit': 1032876962271892277400916178802667639, 'val': 1}
  • id: 5454
    {'lmfdb_iso': '405.a', 'p': 89, 'prec': 20, 'unit': 4993055545975645919222490731864250745, 'val': 1}
  • id: 5438
    {'lmfdb_iso': '405.a', 'p': 97, 'prec': 20, 'unit': 37289718681582614419601344750390508777, 'val': 1}