Elliptic curve data - 65520.bb1

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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': '65520bx', 'Clabel': '65520bx2', 'Cnumber': 2, 'abc_quality': 0.9305556319999368, 'absD': 448748052480, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -1923, -3838], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 65520, 'degree': 61440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92559622703244803347196785251', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [7111117467, 4057690], 'lmfdb_iso': '65520.bb', 'lmfdb_label': '65520.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -120, 90], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '156.6.0.?', '520.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.38873862790654759687280535892', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 6, 7280], [5, 6, 13104], [7, 8, 9360], [13, 14, 5040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.042204025694524698794075578178', 'prec': 110}, 'szpiro_ratio': 3.092712880872458, '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, 0, 0, -1, 0, 1, 0, 0, 0, -4, 0, -1, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, 1, -4, -1, -6, 0, -2, 6, 2, -6, 2, 8, -8, 0, -4, 10, -2, 0, -8, 8, 12, -2, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 65520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '65520.bb', 'trace_hash': 1952348178976078964}
• 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': '0.15704977996251668589273002356', 'prec': 103}, 'conductor': 65520, 'gens': [[89, 728, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.38873862790654759687280535892', 'prec': 103}], 'lmfdb_label': '65520.bb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78027317137254838075049601134', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8531571525064789029780385500523643926', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-2, 0, 1]], 'xcoord_integral_points': [-41, -23, -2, 47, 89, 482]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 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': '65520.bb1'}
• ec_torsion_growth •

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

  
  
  • id: 3126081
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '65520.bb1', 'torsion': [2, 2]}
  • id: 3126082
    {'degree': 4, 'field': [43, -37, 6, -1, 1], 'lmfdb_label': '65520.bb1', 'torsion': [4]}
  • id: 3126085
    {'degree': 8, 'field': [-300, 0, 0, 0, 60, 0, 1, 0, 1], 'lmfdb_label': '65520.bb1', 'torsion': [6]}
  • id: 3126083
    {'degree': 8, 'field': [25, 0, -500, 0, 180, 0, -20, 0, 1], 'lmfdb_label': '65520.bb1', 'torsion': [2, 4]}
  • id: 3126084
    {'degree': 8, 'field': [1600, 0, -1280, 0, 804, 0, 46, 0, 1], 'lmfdb_label': '65520.bb1', 'torsion': [2, 4]}
  • id: 3126086
    {'degree': 16, 'field': [2560000, 0, 7136000, 0, 3779600, 0, -3784600, 0, 569140, 0, 16600, 0, 5024, 0, -38, 0, 1], 'lmfdb_label': '65520.bb1', 'torsion': [8]}
  • id: 3126087
    {'degree': 16, 'field': [365192100, 0, 0, 0, -18345600, 0, 191820, 0, 190740, 0, -1920, 0, -959, 0, 2, 0, 1], 'lmfdb_label': '65520.bb1', 'torsion': [2, 6]}
• 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: 1582700
    {'conductor': 65520, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '65520.bb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1582701
    {'conductor': 65520, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '65520.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1582702
    {'conductor': 65520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '65520.bb1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1582703
    {'conductor': 65520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '65520.bb1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1582704
    {'conductor': 65520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '65520.bb1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2097715
    {'adelic_gens': [[314, 1, 623, 0], [1, 2, 2, 5], [2, 1, 779, 0], [1, 4, 0, 1], [1081, 4, 602, 9], [524, 1, 1039, 0], [196, 1369, 585, 976], [1557, 4, 1556, 5], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1560.12.0.?', 'conductor': 65520, 'lmfdb_label': '65520.bb1', 'prime': 0}
  • id: 274347
    {'conductor': 65520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '65520.bb1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3343595
    {'lmfdb_iso': '65520.bb', 'p': 11, 'prec': 20, 'unit': 18484241163404152230, 'val': 1}
  • id: 3343601
    {'lmfdb_iso': '65520.bb', 'p': 17, 'prec': 20, 'unit': 101428728239048368335816, 'val': 1}
  • id: 3343605
    {'lmfdb_iso': '65520.bb', 'p': 23, 'prec': 20, 'unit': 45867125830198922175564512, 'val': 1}
  • id: 3343599
    {'lmfdb_iso': '65520.bb', 'p': 29, 'prec': 20, 'unit': 5650501287602430159847814711, 'val': 1}
  • id: 3343609
    {'lmfdb_iso': '65520.bb', 'p': 31, 'prec': 20, 'unit': 16125457517251584200836977751, 'val': 1}
  • id: 3343596
    {'lmfdb_iso': '65520.bb', 'p': 37, 'prec': 20, 'unit': 213466843846922861349853746670, 'val': 1}
  • id: 3343597
    {'lmfdb_iso': '65520.bb', 'p': 41, 'prec': 20, 'unit': 2907992926649208208988369376660, 'val': 1}
  • id: 3343598
    {'lmfdb_iso': '65520.bb', 'p': 43, 'prec': 20, 'unit': 10674499220071428817738432104882, 'val': 1}
  • id: 3343607
    {'lmfdb_iso': '65520.bb', 'p': 47, 'prec': 20, 'unit': 12495111202197048832738102312496, 'val': 1}
  • id: 3343603
    {'lmfdb_iso': '65520.bb', 'p': 59, 'prec': 20, 'unit': 758222622506293475264601945589447, 'val': 1}
  • id: 3343608
    {'lmfdb_iso': '65520.bb', 'p': 61, 'prec': 20, 'unit': 5783806084181722622429189550349028, 'val': 1}
  • id: 3343594
    {'lmfdb_iso': '65520.bb', 'p': 67, 'prec': 20, 'unit': 12254324726758351047411272128527327, 'val': 1}
  • id: 3343604
    {'lmfdb_iso': '65520.bb', 'p': 73, 'prec': 20, 'unit': 97132071520998311895396054611324089, 'val': 1}
  • id: 3343600
    {'lmfdb_iso': '65520.bb', 'p': 79, 'prec': 20, 'unit': 207848555411001025346785364826894957, 'val': 1}
  • id: 3343602
    {'lmfdb_iso': '65520.bb', 'p': 83, 'prec': 20, 'unit': 1921673284651806340140117947682822791, 'val': 1}
  • id: 3343606
    {'lmfdb_iso': '65520.bb', 'p': 89, 'prec': 20, 'unit': 8214080811624204992779039529690648870, 'val': 1}
  • id: 3343593
    {'lmfdb_iso': '65520.bb', 'p': 97, 'prec': 20, 'unit': 29266429361378103382097247567261148088, 'val': 1}