Elliptic curve data - 10560.bq3

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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': '10560t3', 'Cnumber': 3, 'abc_quality': 0.9815669003008649, 'absD': 157384050278400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 440, 'ainvs': [0, 1, 0, -15201, 390015], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 10560, 'degree': 32768, 'elladic_images': ['8.48.0.72'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4219617210560968816342998094', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4], 'jinv': [5927735656804, 2401490025], 'lmfdb_iso': '10560.bq', 'lmfdb_label': '10560.bq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3800, 50652], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.d.2.5', '20.24.0-4.b.1.2', '40.96.0-40.n.1.1', '88.96.0.?', '440.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.62097698990219471723218727494', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 3520], [5, 6, 2112], [11, 12, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698079', 'prec': 103}, 'szpiro_ratio': 4.37148059991268, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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': '0.058196885343460108254764215609', 'prec': 107}, 'conductor': 10560, 'gens': [[-3, 660, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.62097698990219471723218727494', 'prec': 103}], 'lmfdb_label': '10560.bq3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.52264204803530216403372692006', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1927789725644831722833361930245795685', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[27, 0, 1], [107, 0, 1]], 'xcoord_integral_points': [-135, -69, -3, 9, 27, 107, 162, 459, 747, 9402]}
• 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.bq3'}
• ec_torsion_growth •

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

  
  
  • id: 545635
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 4]}
  • id: 545638
    {'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 8]}
  • id: 545636
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 4]}
  • id: 545637
    {'degree': 4, 'field': [9, 0, 4, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 4]}
  • id: 545641
    {'degree': 8, 'field': [-1875, 0, -5050, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 6]}
  • id: 545639
    {'degree': 8, 'field': [1, 0, 0, 0, 7, 0, 0, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [4, 4]}
  • id: 545640
    {'degree': 8, 'field': [1881, -660, 848, -396, 249, -64, 26, -4, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 8]}
  • id: 545643
    {'degree': 16, 'field': [625, 0, 0, 0, 0, 0, 0, 0, 850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [4, 8]}
  • id: 545646
    {'degree': 16, 'field': [9801, 0, 39204, 0, 39204, 0, 2012, 0, 2606, 0, -388, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 12]}
  • id: 545644
    {'degree': 16, 'field': [14436, -9048, 12652, -11256, 19586, -28952, 34622, -31532, 22557, -13112, 6314, -2492, 840, -224, 52, -8, 1], 'lmfdb_label': '10560.bq3', 'torsion': [4, 8]}
  • id: 545642
    {'degree': 16, 'field': [46225, 0, -2389200, 0, 1878780, 0, -364560, 0, 79126, 0, -10992, 0, 924, 0, -48, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 8]}
  • id: 545645
    {'degree': 16, 'field': [390625, 0, 62500, 0, 313750, 0, 1007500, 0, 1033750, 0, 40300, 0, 502, 0, 4, 0, 1], 'lmfdb_label': '10560.bq3', 'torsion': [2, 16]}
• 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: 224059
    {'conductor': 10560, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '10560.bq3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 224060
    {'conductor': 10560, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '10560.bq3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 224061
    {'conductor': 10560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10560.bq3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 224062
    {'conductor': 10560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10560.bq3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1733748
    {'adelic_gens': [[1, 0, 8, 1], [433, 8, 432, 9], [1, 8, 0, 1], [437, 322, 338, 21], [321, 8, 404, 33], [1, 334, 4, 127], [359, 6, 258, 435], [5, 4, 436, 437]], 'adelic_image': '440.192.1.?', 'conductor': 10560, 'lmfdb_label': '10560.bq3', 'prime': 0}
  • id: 50722
    {'conductor': 10560, 'elladic_image': '8.48.0.72', 'lmfdb_label': '10560.bq3', 'modell_image': '2Cs', '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}