Elliptic curve isogeny class data - 139650.dw

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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, -1, 1, 1, 0, -1, 0, -1, 1, 0, 2, 1, 4, 0, 0, 1, -2, -1, 1, 0], 'aplist': [-1, 1, 0, 0, 2, 4, -2, 1, -4, 0, 8, -8, 8, 6, -12, 6, 0, -2, -8, -8, 14, 0, 4, 0, -12], 'class_deg': 10, 'class_size': 4, 'conductor': 139650, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '139650.dw', 'trace_hash': 393933585261556088}
• lmfdb_iso 139650.dw does not appear in ec_padic
• 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: 908628
    {'Ciso': '139650gy', 'Clabel': '139650gy4', 'Cnumber': 4, 'abc_quality': 1.0740941067474734, 'absD': 4096554908217187500, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 7980, 'ainvs': [1, 0, 1, -64708720151, 6335661403055198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 139650, 'degree': 207360000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3865031517567448216633097340', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [16300610738133468173382620881, 2228489100], 'lmfdb_iso': '139650.dw', 'lmfdb_label': '139650.dw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52823445, -147775056075], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '35.24.0-5.a.2.1', '60.72.1.cj.1', '70.72.0-10.a.1.3', '76.6.0.?', '380.72.1.?', '420.144.1.?', '1140.144.5.?', '2660.144.1.?', '7980.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 23275], [3, 4, 46550], [5, 18, 294], [7, 26, 2850], [19, 20, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6088291210120379818102536957', 'prec': 100}, 'szpiro_ratio': 7.284026031935922, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 908627
    {'Ciso': '139650gy', 'Clabel': '139650gy3', 'Cnumber': 3, 'abc_quality': 1.057796439598937, 'absD': 2704926803115111933750000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 7980, 'ainvs': [1, 0, 1, -4044294651, 98994475102198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 139650, 'degree': 103680000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0399295614767721669546936733', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-3979640234041473454886161, 1471455901872240], 'lmfdb_iso': '139650.dw', 'lmfdb_label': '139650.dw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3301465, -2309192023], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '30.72.1.i.2', '35.24.0-5.a.2.1', '70.72.0-10.a.1.3', '76.6.0.?', '210.144.1.?', '380.72.1.?', '1140.144.5.?', '2660.144.1.?', '7980.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 46550], [5, 18, 294], [7, 26, 2850], [19, 20, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2622555307320653271016376350', 'prec': 100}, 'szpiro_ratio': 6.581920873161699, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 908626
    {'Ciso': '139650gy', 'Clabel': '139650gy2', 'Cnumber': 2, 'abc_quality': 1.032281228728047, 'absD': 20624071909218750000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 7980, 'ainvs': [1, 0, 1, -107732651, 370801730198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 139650, 'degree': 41472000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5817841955396946343629300674', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [75224183150104868881, 11219310000000000], 'lmfdb_iso': '139650.dw', 'lmfdb_label': '139650.dw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -87945, -8655975], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '35.24.0-5.a.1.1', '60.72.1.cj.2', '70.72.0-10.a.2.2', '76.6.0.?', '380.72.1.?', '420.144.1.?', '1140.144.5.?', '2660.144.1.?', '7980.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 23275], [3, 4, 46550], [5, 14, 931], [7, 26, 2850], [19, 20, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8041101647949877945098740291', 'prec': 100}, 'szpiro_ratio': 5.66385497923381, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 908625
    {'Ciso': '139650gy', 'Clabel': '139650gy1', 'Cnumber': 1, 'abc_quality': 1.0281324592856305, 'absD': 528410789222400000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 7980, 'ainvs': [1, 0, 1, 11435349, 31649602198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 139650, 'degree': 20736000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2352106052597219796543140066', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [89962967236397039, 287450726400000], 'lmfdb_iso': '139650.dw', 'lmfdb_label': '139650.dw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9335, -737383], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '30.72.1.i.1', '35.24.0-5.a.1.1', '70.72.0-10.a.2.2', '76.6.0.?', '210.144.1.?', '380.72.1.?', '1140.144.5.?', '2660.144.1.?', '7980.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 46550], [5, 14, 931], [7, 26, 2850], [19, 20, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4575365745150151398012579683', 'prec': 100}, 'szpiro_ratio': 5.2232310989825805, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}