Elliptic curve isogeny class data - 8736.w

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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, 2, 0, -1, 0, 1, 0, 0, 0, -1, 0, 2, 0, -6, 0, -4, 0], 'aplist': [0, 1, 2, -1, 0, -1, -6, -4, 0, -2, 0, -2, 10, 8, 0, -2, 12, -6, -8, -8, -14, 8, -4, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 8736, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '8736.w', 'trace_hash': 393991931379915209}
• ec_padic •

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

  
  
  • id: 362480
    {'lmfdb_iso': '8736.w', 'p': 5, 'prec': 20, 'unit': 15152121225701, 'val': 1}
  • id: 362473
    {'lmfdb_iso': '8736.w', 'p': 17, 'prec': 20, 'unit': 10854344821931884883734, 'val': 1}
  • id: 362464
    {'lmfdb_iso': '8736.w', 'p': 19, 'prec': 20, 'unit': 1468239300489822391986062, 'val': 1}
  • id: 362471
    {'lmfdb_iso': '8736.w', 'p': 29, 'prec': 20, 'unit': 3345981356319074702041079851, 'val': 1}
  • id: 362467
    {'lmfdb_iso': '8736.w', 'p': 37, 'prec': 20, 'unit': 6143356592663090852306015470, 'val': 2}
  • id: 362469
    {'lmfdb_iso': '8736.w', 'p': 41, 'prec': 20, 'unit': 1889297146181352129682123546634, 'val': 1}
  • id: 362470
    {'lmfdb_iso': '8736.w', 'p': 43, 'prec': 20, 'unit': 9535922676870511621840832953867, 'val': 1}
  • id: 362475
    {'lmfdb_iso': '8736.w', 'p': 53, 'prec': 20, 'unit': 391505395979630993746801691585039, 'val': 1}
  • id: 362478
    {'lmfdb_iso': '8736.w', 'p': 59, 'prec': 20, 'unit': 1384653595434739289223029039851247, 'val': 1}
  • id: 362479
    {'lmfdb_iso': '8736.w', 'p': 61, 'prec': 20, 'unit': 3721279593736408778835331895878406, 'val': 1}
  • id: 362466
    {'lmfdb_iso': '8736.w', 'p': 67, 'prec': 20, 'unit': 458343334580824311568285381817207, 'val': 1}
  • id: 362468
    {'lmfdb_iso': '8736.w', 'p': 71, 'prec': 20, 'unit': 94086330557217971898689328805214999, 'val': 1}
  • id: 362476
    {'lmfdb_iso': '8736.w', 'p': 73, 'prec': 20, 'unit': 243025289933038338901240998058644990, 'val': 1}
  • id: 362472
    {'lmfdb_iso': '8736.w', 'p': 79, 'prec': 20, 'unit': 39212609869817586232094939691710383, 'val': 1}
  • id: 362474
    {'lmfdb_iso': '8736.w', 'p': 83, 'prec': 20, 'unit': 2092354469469236361427464350183372679, 'val': 1}
  • id: 362477
    {'lmfdb_iso': '8736.w', 'p': 89, 'prec': 20, 'unit': 605760041508646244054469734515530028, 'val': 1}
  • id: 362465
    {'lmfdb_iso': '8736.w', 'p': 97, 'prec': 20, 'unit': 52578849874746988026020622131738527025, '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
  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[]

  
  
  • id: 56312
    {'Ciso': '8736v', 'Clabel': '8736v2', 'Cnumber': 2, 'abc_quality': 1.0049635964573487, 'absD': 16828051968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 1, 0, -146032, -21528052], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8736, 'degree': 24576, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4381338944618592278880430460', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [672668087746709384, 32867289], 'lmfdb_iso': '8736.w', 'lmfdb_label': '8736.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -146032, 21528052], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.k.1.1', '56.48.0-56.bc.1.8'], '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': '5.7271135646791604263856277779', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 2912], [7, 8, 1248], [13, 14, 672]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91827350904190024582511895491', 'prec': 103}, 'szpiro_ratio': 5.210718544248992, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 56313
    {'Ciso': '8736v', 'Clabel': '8736v3', 'Cnumber': 3, 'abc_quality': 1.0765156542746221, 'absD': 208585813782528, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 1, 0, -15057, 146367], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8736, 'degree': 24576, 'elladic_images': ['8.24.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4381338944618592278880430460', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [92173898928448, 50924270943], 'lmfdb_iso': '8736.w', 'lmfdb_label': '8736.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -15057, -146367], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.p.1.1', '28.24.0-28.h.1.2', '56.48.0-56.br.1.6'], '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': '1.4317783911697901065964069445', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7], [3, 4, 2912], [7, 8, 1248], [13, 14, 672]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74498671390191391847081092454', 'prec': 103}, 'szpiro_ratio': 4.459673610581681, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 56311
    {'Ciso': '8736v', 'Clabel': '8736v1', 'Cnumber': 1, 'abc_quality': 1.0299848296032783, 'absD': 587651029056, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 1, 0, -9142, -337480], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8736, 'degree': 12288, 'elladic_images': ['8.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0915603041818865731794269852', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [1320428512222912, 9182047329], 'lmfdb_iso': '8736.w', 'lmfdb_label': '8736.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9142, 337480], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.a.1.2', '28.24.0-28.a.1.1', '56.48.0-56.b.1.7'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8635567823395802131928138889', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 2912], [7, 8, 1248], [13, 14, 672]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74498671390191391847081092447', 'prec': 103}, 'szpiro_ratio': 4.2947354032806, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 56314
    {'Ciso': '8736v', 'Clabel': '8736v4', 'Cnumber': 4, 'abc_quality': 1.0179760568182636, 'absD': 236809891229184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 1, 0, -3472, -745720], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8736, 'degree': 24576, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4381338944618592278880430460', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [-9043113453704, 462519318807], 'lmfdb_iso': '8736.w', 'lmfdb_label': '8736.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3472, 745720], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '28.12.0-4.c.1.2', '56.48.0-56.bt.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7271135646791604263856277779', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 2912], [7, 8, 1248], [13, 14, 672]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91827350904190024582511895491', 'prec': 103}, 'szpiro_ratio': 4.469787501217887, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}