Elliptic curve data - 10560.bq2

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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': '10560t', 'Clabel': '10560t5', 'Cnumber': 5, 'abc_quality': 0.9967634929262502, 'absD': 3413542988021760, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, 1, 0, -112001, -14188065], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 10560, 'degree': 65536, 'elladic_images': ['16.48.0.182'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7685353113360695363429158701', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1185450336504002, 26043266205], 'lmfdb_iso': '10560.bq', 'lmfdb_label': '10560.bq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28000, -1759508], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.9', '16.48.0-16.f.2.4', '20.12.0-4.c.1.1', '40.48.0-40.bp.1.3', '80.96.0.?', '88.48.0.?', '176.96.0.?', '440.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2419539798043894344643745499', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 3520], [5, 6, 2112], [11, 12, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036470', 'prec': 103}, 'szpiro_ratio': 5.018160984878169, '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, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 2, 0, -1, 0, -6, 0, 4, 0], 'aplist': [0, 1, -1, 0, 1, 2, -6, 4, 0, -6, -8, -6, 10, 4, -8, 10, 12, -6, 4, 0, -14, 0, -4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 10560, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '10560.bq', 'trace_hash': 1375694906648883954}
• 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': '0.029098442671730054127382107804', 'prec': 107}, 'conductor': 10560, 'gens': [[-179, 396, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2419539798043894344643745499', 'prec': 100}], 'lmfdb_label': '10560.bq2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26132102401765108201686346003', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1927789725644831722833361930245795685', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-215, 0, 1]], 'xcoord_integral_points': [-215, -179, 514]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 1, 0], '11': [2, 0], '13': [1, 0], '17': [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': '10560.bq2'}
• ec_torsion_growth •

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

  
  
  • id: 545665
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [2, 2]}
  • id: 545667
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [4]}
  • id: 545666
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [4]}
  • id: 545669
    {'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '10560.bq2', 'torsion': [8]}
  • id: 545668
    {'degree': 4, 'field': [9, 0, -4, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [2, 4]}
  • id: 545670
    {'degree': 4, 'field': [729, 0, 56, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [8]}
  • id: 545675
    {'degree': 8, 'field': [-1875, 0, -5050, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [6]}
  • id: 545672
    {'degree': 8, 'field': [196, 0, 208, 0, 44, 0, -8, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [8]}
  • id: 545673
    {'degree': 8, 'field': [729, 108, -48, -124, 73, -16, 10, -4, 1], 'lmfdb_label': '10560.bq2', 'torsion': [2, 8]}
  • id: 545674
    {'degree': 8, 'field': [980100, 0, -121000, 0, 6138, 0, -132, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [16]}
  • id: 545671
    {'degree': 8, 'field': [1455631, 19364, -21778, 4832, -2425, 8, 2, -4, 1], 'lmfdb_label': '10560.bq2', 'torsion': [2, 4]}
  • id: 545677
    {'degree': 16, 'field': [625, 0, 0, 0, 0, 0, 0, 0, 850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [2, 8]}
  • id: 545682
    {'degree': 16, 'field': [9801, 0, 39204, 0, 39204, 0, 2012, 0, 2606, 0, -388, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [12]}
  • id: 545680
    {'degree': 16, 'field': [219024, 0, -409536, 0, 133920, 0, 28592, 0, -9880, 0, -1288, 0, 172, 0, -20, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [2, 6]}
  • id: 545679
    {'degree': 16, 'field': [96059601, 0, 9487368, 0, 21178872, 0, -1607848, 0, 46343, 0, -10648, 0, 1672, 0, 88, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [2, 16]}
  • id: 545681
    {'degree': 16, 'field': [410062500, 0, 164025000, 0, 16402500, 0, 7250000, 0, 846500, 0, -100, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [12]}
  • id: 545678
    {'degree': 16, 'field': [736854561, -1475159604, 1192029652, -306687904, -158694612, 120116156, -7440304, -13668652, 2575543, 813556, -195776, -27700, 7148, 512, -132, -4, 1], 'lmfdb_label': '10560.bq2', 'torsion': [16]}
  • id: 545676
    {'degree': 16, 'field': [133974300625, 0, 0, 0, 0, 0, 0, 0, 12444850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10560.bq2', 'torsion': [4, 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: 224067
    {'conductor': 10560, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '10560.bq2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 224068
    {'conductor': 10560, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '10560.bq2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 224069
    {'conductor': 10560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10560.bq2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 224070
    {'conductor': 10560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10560.bq2', 'prime': 11, '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: 1733747
    {'adelic_gens': [[204, 219, 281, 430], [192, 5, 835, 866], [15, 2, 782, 867], [1, 16, 0, 1], [653, 16, 544, 565], [771, 16, 550, 661], [5, 4, 876, 877], [1, 0, 16, 1], [865, 16, 864, 17]], 'adelic_image': '880.192.1.?', 'conductor': 10560, 'lmfdb_label': '10560.bq2', 'prime': 0}
  • id: 50721
    {'conductor': 10560, 'elladic_image': '16.48.0.182', 'lmfdb_label': '10560.bq2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 449836
    {'lmfdb_iso': '10560.bq', 'p': 13, 'prec': 20, 'unit': 135496376123067563165, 'val': 1}
  • id: 449838
    {'lmfdb_iso': '10560.bq', 'p': 17, 'prec': 20, 'unit': 70537038481483667047790, 'val': 1}
  • id: 449839
    {'lmfdb_iso': '10560.bq', 'p': 19, 'prec': 20, 'unit': 513817396805825924281007, 'val': 1}
  • id: 449835
    {'lmfdb_iso': '10560.bq', 'p': 29, 'prec': 20, 'unit': 277940383654820725572892997, 'val': 1}
  • id: 449845
    {'lmfdb_iso': '10560.bq', 'p': 31, 'prec': 20, 'unit': 10846419229608866233752084967, 'val': 1}
  • id: 449832
    {'lmfdb_iso': '10560.bq', 'p': 37, 'prec': 20, 'unit': 149875370957843031634315428758, 'val': 1}
  • id: 449833
    {'lmfdb_iso': '10560.bq', 'p': 41, 'prec': 20, 'unit': 2527897654187893662679616938958, 'val': 1}
  • id: 449834
    {'lmfdb_iso': '10560.bq', 'p': 43, 'prec': 20, 'unit': 5325224361186284753692646491599, 'val': 1}
  • id: 449837
    {'lmfdb_iso': '10560.bq', 'p': 47, 'prec': 20, 'unit': 31985220336100264151561323898567, 'val': 1}
  • id: 449840
    {'lmfdb_iso': '10560.bq', 'p': 53, 'prec': 20, 'unit': 267358745264777110396664588270528, 'val': 1}
  • id: 449843
    {'lmfdb_iso': '10560.bq', 'p': 59, 'prec': 20, 'unit': 377401806928913062203958853253068, 'val': 1}
  • id: 449844
    {'lmfdb_iso': '10560.bq', 'p': 61, 'prec': 20, 'unit': 7552598695926370873347132669801248, 'val': 1}
  • id: 449831
    {'lmfdb_iso': '10560.bq', 'p': 67, 'prec': 20, 'unit': 48644309785033738349559649774490480, 'val': 1}
  • id: 449841
    {'lmfdb_iso': '10560.bq', 'p': 73, 'prec': 20, 'unit': 60720927477682931618986907954421756, 'val': 1}
  • id: 449830
    {'lmfdb_iso': '10560.bq', 'p': 83, 'prec': 20, 'unit': 776419893139310928760614085044343465, 'val': 1}
  • id: 449842
    {'lmfdb_iso': '10560.bq', 'p': 89, 'prec': 20, 'unit': 9560710677364484719250604994221998790, 'val': 1}
  • id: 449829
    {'lmfdb_iso': '10560.bq', 'p': 97, 'prec': 20, 'unit': 2462094163269531902971587934892006472, 'val': 1}