Elliptic curve isogeny class data - 10560.bq

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• 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_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}
• 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[]

  
  
  • id: 68339
    {'Ciso': '10560t', 'Clabel': '10560t4', 'Cnumber': 4, 'abc_quality': 1.0052432979893915, 'absD': 162201600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, 1, 0, -211201, 37288415], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 10560, 'degree': 32768, 'elladic_images': ['16.48.0.197'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4219617210560968816342998094', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [15897679904620804, 2475], 'lmfdb_iso': '10560.bq', 'lmfdb_label': '10560.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -52800, 4687452], '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.1.11', '16.48.0-16.f.1.11', '40.48.0-40.cb.1.9', '44.12.0.h.1', '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': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4839079596087788689287490998', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11], [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': 5.223550998855371, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 68340
    {'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]}
  • id: 68338
    {'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]}
  • id: 68337
    {'Ciso': '10560t', 'Clabel': '10560t2', 'Cnumber': 2, 'abc_quality': 1.0278304524202422, 'absD': 100362240000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 440, 'ainvs': [0, 1, 0, -13201, 579215], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 10560, 'degree': 16384, 'elladic_images': ['8.48.0.135'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0753881307761242269256837486', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4], 'jinv': [15529488955216, 6125625], 'lmfdb_iso': '10560.bq', 'lmfdb_label': '10560.bq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3300, 74052], '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.1.1', '40.96.0-40.r.2.2', '44.24.0.c.1', '88.96.0.?', '440.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2419539798043894344643745499', 'prec': 100}, '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': '0.26671642012285469927224627357', 'prec': 103}, 'szpiro_ratio': 4.325802914295714, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 68336
    {'Ciso': '10560t', 'Clabel': '10560t1', 'Cnumber': 1, 'abc_quality': 1.0588833402519044, 'absD': 39600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, 1, 0, -701, 11715], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 10560, 'degree': 8192, 'elladic_images': ['8.48.0.221'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72881454049615157221706768790', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-37256083456, 38671875], 'lmfdb_iso': '10560.bq', 'lmfdb_label': '10560.bq5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 1552], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.ba.1.5', '22.6.0.a.1', '44.12.0.g.1', '80.96.0.?', '88.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4839079596087788689287490998', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11], [3, 4, 3520], [5, 6, 2112], [11, 12, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15119189002953048103604092002', 'prec': 103}, 'szpiro_ratio': 3.486293101583963, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 68341
    {'Ciso': '10560t', 'Clabel': '10560t6', 'Cnumber': 6, 'abc_quality': 1.0072755098036974, 'absD': 11379061136424960, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, 1, 0, 49599, 2891295], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 10560, 'degree': 65536, 'elladic_images': ['8.48.0.212'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7685353113360695363429158701', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [102949393183198, 86815346805], 'lmfdb_iso': '10560.bq', 'lmfdb_label': '10560.bq6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 12400, 355212], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.ba.2.1', '20.12.0-4.c.1.2', '40.96.0-40.bk.2.5', '176.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, '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': 4.754406457969401, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}