Elliptic curve data - 33390.bk2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '33390bp', 'Clabel': '33390bp1', 'Cnumber': 1, 'abc_quality': 0.8634706032711885, 'absD': 250472079900, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 6360, 'ainvs': [1, -1, 1, -1202, 29229], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 33390, 'degree': 43008, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88019096658282879219231544329', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [-263251475929, 343583100], 'lmfdb_iso': '33390.bk', 'lmfdb_label': '33390.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -133, -1127], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '318.6.0.?', '6360.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 477], [3, 6, 3710], [5, 6, 6678], [7, 8, 4770], [53, 54, 630]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33088482224877394649469282483', 'prec': 103}, 'szpiro_ratio': 3.2707657471136793, '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, 1, 0, 1, 1, 0, -1, 1, 0, 1, -6, 0, 2, -1, 0, 1, 0, 0, 6, 1], 'aplist': [1, 0, 1, -1, -6, 2, 0, 6, 4, 0, -4, 6, -6, 4, -2, -1, -10, -4, 8, 0, 8, 4, 4, -10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 33390, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '33390.bk', 'trace_hash': 549735625345280912}
• 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': '0.17197916673032338162798421010', 'prec': 103}, 'conductor': 33390, 'gens': [], 'heights': [], 'lmfdb_label': '33390.bk2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.88962337537198310477787375677', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5584935014879324191114950270710196250', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-43, 21, 1]], 'xcoord_integral_points': [-43]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [0, 0], '53': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '33390.bk2'}
• ec_torsion_growth •

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

  
  
  • id: 1657971
    {'degree': 2, 'field': [40, -1, 1], 'lmfdb_label': '33390.bk2', 'torsion': [2, 2]}
  • id: 1657972
    {'degree': 4, 'field': [10, 40, 11, -2, 1], 'lmfdb_label': '33390.bk2', 'torsion': [4]}
  • id: 1657975
    {'degree': 8, 'field': [-49152, 0, 0, 0, -768, 0, 19, 0, 1], 'lmfdb_label': '33390.bk2', 'torsion': [6]}
  • id: 1657973
    {'degree': 8, 'field': [9496, 22440, 23250, 10440, 1703, -60, -30, 0, 1], 'lmfdb_label': '33390.bk2', 'torsion': [2, 4]}
  • id: 1657974
    {'degree': 8, 'field': [10752, 8448, 1584, 792, 1057, 22, 66, -2, 1], 'lmfdb_label': '33390.bk2', 'torsion': [2, 4]}
  • id: 1657977
    {'degree': 16, 'field': [187357878060, -7015731720, 6361654560, 1336784172, -738991728, 81992052, -22792913, -3871018, 939554, 26372, -12255, 3038, 161, -336, 68, -8, 1], 'lmfdb_label': '33390.bk2', 'torsion': [2, 6]}
  • id: 1657976
    {'degree': 16, 'field': [222921952390, -153478563760, -42597506040, -627010595040, 609638343861, 29512134396, -14352843158, 4959807212, -600815307, 50551272, -6495012, 197112, -7777, -308, 162, -4, 1], 'lmfdb_label': '33390.bk2', 'torsion': [8]}
• 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: 781426
    {'conductor': 33390, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33390.bk2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 781427
    {'conductor': 33390, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '33390.bk2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 781428
    {'conductor': 33390, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33390.bk2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 781429
    {'conductor': 33390, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '33390.bk2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 781430
    {'conductor': 33390, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '33390.bk2', 'prime': 53, '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

  
  
  • id: 1886869
    {'adelic_gens': [[1, 2, 2, 5], [4562, 1, 4079, 0], [1, 4, 0, 1], [3817, 4, 1274, 9], [3977, 2386, 2384, 3975], [2122, 1, 2119, 0], [3181, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11], [6357, 4, 6356, 5]], 'adelic_image': '6360.12.0.?', 'conductor': 33390, 'lmfdb_label': '33390.bk2', 'prime': 0}
  • id: 148706
    {'conductor': 33390, 'elladic_image': '2.3.0.1', 'lmfdb_label': '33390.bk2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 33390.bk does not appear in ec_padic