Elliptic curve data - 7056.bp1

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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': '7056bm', 'Clabel': '7056bm2', 'Cnumber': 2, 'abc_quality': 1.1059237401535138, 'absD': 27444044051345682432, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 1092, 'ainvs': [0, 0, 0, -6437424, -6291657232], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 7056, 'degree': 174720, 'elladic_images': ['13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6527955617333728736692896805', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 41, 'isogeny_degrees': [1, 13], 'jinv': [-1713910976512, 1594323], 'lmfdb_iso': '7056.bp', 'lmfdb_label': '7056.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -912, 10919], 'min_quad_twist_disc': -84, 'modell_images': ['13B.4.2'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.2', '52.56.0-13.a.2.3', '78.56.1.?', '91.84.2.?', '156.112.1.?', '364.168.2.?', '546.168.9.?', '1092.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.1950352069323759341986232224', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11306880413583051515086644495', 'prec': 103}, 'szpiro_ratio': 6.618207080988283, '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, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, 0, 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': 7056, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '7056.bp', 'trace_hash': 904746039981845863}
• 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': '0.0049637631641409042367347984254', 'prec': 110}, 'conductor': 7056, 'gens': [[4923961, 10883367117, 13]], 'heights': [{'__RealLiteral__': 0, 'data': '8.1950352069323759341986232224', 'prec': 100}], 'lmfdb_label': '7056.bp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.047387882733197374935151850991', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6601444085664237676809331406858174827', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [5, 1], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7056.bp1'}
• ec_torsion_growth •

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

  
  
  • id: 371267
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '7056.bp1', 'torsion': [2]}
  • id: 371268
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '7056.bp1', 'torsion': [2, 2]}
  • id: 371269
    {'degree': 8, 'field': [-27, 0, 0, 0, 18, 0, 1, 0, 1], 'lmfdb_label': '7056.bp1', 'torsion': [3]}
  • id: 371270
    {'degree': 12, 'field': [-6, 20, 4, -44, 50, 16, -60, 40, 8, -26, 18, -6, 1], 'lmfdb_label': '7056.bp1', 'torsion': [4]}
  • id: 371271
    {'degree': 12, 'field': [66687921, -37888182, 21735243, -1631232, -103185, 244116, 74788, 11356, 3305, -8, 56, -2, 1], 'lmfdb_label': '7056.bp1', '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: 144726
    {'conductor': 7056, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '7056.bp1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 144727
    {'conductor': 7056, 'conductor_valuation': 2, 'discriminant_valuation': 19, 'j_denominator_valuation': 13, 'kodaira_symbol': -17, 'lmfdb_label': '7056.bp1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 144728
    {'conductor': 7056, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '7056.bp1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1710662
    {'adelic_gens': [[15, 26, 130, 287], [14, 23, 871, 339], [607, 1066, 936, 991], [1067, 26, 1066, 27], [545, 0, 0, 1091], [1, 26, 0, 1], [571, 1066, 572, 1065], [1078, 1069, 767, 753], [727, 1066, 715, 753], [1, 0, 26, 1]], 'adelic_image': '1092.336.9.?', 'conductor': 7056, 'lmfdb_label': '7056.bp1', 'prime': 0}
  • id: 34851
    {'conductor': 7056, 'elladic_image': '13.28.0.2', 'lmfdb_label': '7056.bp1', 'modell_image': '13B.4.2', 'prime': 13}
• ec_padic •

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

  
  
  • id: 285733
    {'lmfdb_iso': '7056.bp', 'p': 5, 'prec': 20, 'unit': 2582935942212, 'val': 1}
  • id: 285732
    {'lmfdb_iso': '7056.bp', 'p': 11, 'prec': 20, 'unit': 52440219853314479248, 'val': 1}
  • id: 285739
    {'lmfdb_iso': '7056.bp', 'p': 13, 'prec': 20, 'unit': 18666861566699880208045, 'val': 0}
  • id: 285742
    {'lmfdb_iso': '7056.bp', 'p': 19, 'prec': 20, 'unit': 1506093973271437415870239, 'val': 1}
  • id: 285738
    {'lmfdb_iso': '7056.bp', 'p': 29, 'prec': 20, 'unit': 2572304035355230349005676442, 'val': 1}
  • id: 285735
    {'lmfdb_iso': '7056.bp', 'p': 31, 'prec': 20, 'unit': 12647195920813716208464349411, 'val': 1}
  • id: 285749
    {'lmfdb_iso': '7056.bp', 'p': 37, 'prec': 20, 'unit': 553875606498091359423621416224, 'val': 1}
  • id: 285736
    {'lmfdb_iso': '7056.bp', 'p': 41, 'prec': 20, 'unit': 734428505758422309639173974425, 'val': 1}
  • id: 285737
    {'lmfdb_iso': '7056.bp', 'p': 43, 'prec': 20, 'unit': 1953673072062947761467953925754, 'val': 1}
  • id: 285747
    {'lmfdb_iso': '7056.bp', 'p': 47, 'prec': 20, 'unit': 34148468028821905706163337275968, 'val': 1}
  • id: 285743
    {'lmfdb_iso': '7056.bp', 'p': 53, 'prec': 20, 'unit': 350879235987002771730751658415681, 'val': 1}
  • id: 285741
    {'lmfdb_iso': '7056.bp', 'p': 59, 'prec': 20, 'unit': 1655962541643011627808334794441607, 'val': 1}
  • id: 285748
    {'lmfdb_iso': '7056.bp', 'p': 61, 'prec': 20, 'unit': 2325398824267069015065491064962962, 'val': 1}
  • id: 285731
    {'lmfdb_iso': '7056.bp', 'p': 67, 'prec': 20, 'unit': 21288208742183520234539952279135839, 'val': 1}
  • id: 285734
    {'lmfdb_iso': '7056.bp', 'p': 71, 'prec': 20, 'unit': 116846922914004264881653173325009262, 'val': 1}
  • id: 285744
    {'lmfdb_iso': '7056.bp', 'p': 73, 'prec': 20, 'unit': 37248353623263865066491722924659565, 'val': 1}
  • id: 285740
    {'lmfdb_iso': '7056.bp', 'p': 79, 'prec': 20, 'unit': 4183294181978172519912766337749406170, 'val': -1}
  • id: 285745
    {'lmfdb_iso': '7056.bp', 'p': 83, 'prec': 20, 'unit': 2119005027491514079561346878168481339, 'val': 1}
  • id: 285746
    {'lmfdb_iso': '7056.bp', 'p': 89, 'prec': 20, 'unit': 4847007699733181571123454052407932796, 'val': 1}
  • id: 285730
    {'lmfdb_iso': '7056.bp', 'p': 97, 'prec': 20, 'unit': 22060107000108631809776902390325258252, 'val': 1}