Elliptic curve isogeny class data - 154128.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, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, -1, 0, -4, 0, 0, 6, 1, 6, 6, 2, 4, -6, 4, 6, 6, -12, 14, 8, 0, -14, 10, -12, 6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 154128, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '154128.w', 'trace_hash': 1980996883288416029}
• lmfdb_iso 154128.w 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: 999207
    {'Ciso': '154128bq', 'Clabel': '154128bq3', 'Cnumber': 3, 'abc_quality': 1.0077462703550282, 'absD': 1627279340224512, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5928, 'ainvs': [0, -1, 0, -1157368, 479624560], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 1866240, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0811239052408164285693034115', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8671983378625, 82308], 'lmfdb_iso': '154128.w', 'lmfdb_label': '154128.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -428, -3444], 'min_quad_twist_disc': -52, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '114.24.0.?', '156.24.0.?', '312.48.0.?', '456.48.1.?', '2964.48.0.?', '5928.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1273519334551847923435556594', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9633], [3, 4, 2704], [13, 86, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10550204595010275112532756926', 'prec': 103}, 'szpiro_ratio': 4.478540673352807, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 999208
    {'Ciso': '154128bq', 'Clabel': '154128bq4', 'Cnumber': 4, 'abc_quality': 1.0101536552434738, 'absD': 16742263491899891712, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5928, 'ainvs': [0, -1, 0, -1130328, 503073648], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 3732480, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4276974955207890832779194723', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-8078253774625, 846825858], 'lmfdb_iso': '154128.w', 'lmfdb_label': '154128.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -418, -3610], 'min_quad_twist_disc': -52, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '156.24.0.?', '228.24.0.?', '312.48.0.?', '456.48.1.?', '2964.48.0.?', '5928.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0636759667275923961717778297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 4, 2704], [13, 86, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45207563623007540583394363006', 'prec': 103}, 'szpiro_ratio': 4.4865403455920445, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 999205
    {'Ciso': '154128bq', 'Clabel': '154128bq1', 'Cnumber': 1, 'abc_quality': 1.047658380732593, 'absD': 649108656488448, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5928, 'ainvs': [0, -1, 0, -21688, -86672], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 622080, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5318177609067615828716807931', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57066625, 32832], 'lmfdb_iso': '154128.w', 'lmfdb_label': '154128.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8, 0], 'min_quad_twist_disc': -52, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '114.24.0.?', '156.24.0.?', '312.48.0.?', '456.48.1.?', '2964.48.0.?', '5928.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3820558003655543770306669781', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9633], [3, 4, 51376], [13, 86, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44380409838395209457229504914', 'prec': 107}, 'szpiro_ratio': 3.479725221346637, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 999206
    {'Ciso': '154128bq', 'Clabel': '154128bq2', 'Cnumber': 2, 'abc_quality': 1.073456431344882, 'absD': 41624092597321728, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5928, 'ainvs': [0, -1, 0, 86472, -778896], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 1244160, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8783913511867342375802968538', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3616805375, 2105352], 'lmfdb_iso': '154128.w', 'lmfdb_label': '154128.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 32, 8], 'min_quad_twist_disc': -52, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '156.24.0.?', '228.24.0.?', '312.48.0.?', '456.48.1.?', '2964.48.0.?', '5928.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1910279001827771885153334890', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 4, 51376], [13, 86, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.097230508103979439863678988442', 'prec': 110}, 'szpiro_ratio': 3.827062171120594, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}