Elliptic curve isogeny class data - 164934.bj

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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, 0, 1, 2, 0, 0, -1, 0, -2, -1, 0, 2, 0, 0, 1, 1, 0, -4, 2], 'aplist': [-1, 0, 2, 0, -1, 2, 1, -4, 4, 6, 4, 2, 10, 4, -8, -6, -4, 6, 12, 12, -2, 4, -4, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 164934, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '164934.bj', 'trace_hash': 1176266431400637319}
• lmfdb_iso 164934.bj 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: 1067120
    {'Ciso': '164934dr', 'Clabel': '164934dr4', 'Cnumber': 4, 'abc_quality': 0.96548780150265, 'absD': 5625727295932803906, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [1, -1, 0, -854226, -281429478], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 164934, 'degree': 3538944, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3405205753942553633032391493', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [803760366578833, 65593817586], 'lmfdb_iso': '164934.bj', 'lmfdb_label': '164934.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1937, -31219], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '136.24.0.?', '168.24.0.?', '1428.12.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7497], [3, 8, 18326], [7, 26, 3366], [11, 12, 14994], [17, 18, 9702]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81825935653254386505294015912', 'prec': 103}, 'szpiro_ratio': 4.377436172416844, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1067118
    {'Ciso': '164934dr', 'Clabel': '164934dr2', 'Cnumber': 2, 'abc_quality': 0.9400064681728089, 'absD': 117578891643701796, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [1, -1, 0, -179496, 24223212], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 164934, 'degree': 1769472, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9939469851142827085946230886', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2], 'jinv': [7457162887153, 1370924676], 'lmfdb_iso': '164934.bj', 'lmfdb_label': '164934.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -407, 2441], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '68.12.0.b.1', '84.12.0.?', '136.24.0.?', '168.24.0.?', '1428.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 18326], [7, 26, 3366], [11, 12, 14994], [17, 18, 9702]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.47168576625257121034432409842', 'prec': 103}, 'szpiro_ratio': 3.9878574655457015, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1067117
    {'Ciso': '164934dr', 'Clabel': '164934dr1', 'Cnumber': 1, 'abc_quality': 0.933285229740939, 'absD': 25404611169168, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [1, -1, 0, -170676, 27181440], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 164934, 'degree': 884736, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6473733948343100538860070278', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [6411014266033, 296208], 'lmfdb_iso': '164934.bj', 'lmfdb_label': '164934.bj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -387, 2769], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '34.6.0.a.1', '68.12.0.g.1', '84.12.0.?', '136.24.0.?', '168.24.0.?', '1428.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7497], [3, 8, 18326], [7, 26, 3366], [11, 12, 14994], [17, 18, 9702]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12511217597259855563570803762', 'prec': 103}, 'szpiro_ratio': 3.975274950072484, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1067119
    {'Ciso': '164934dr', 'Clabel': '164934dr3', 'Cnumber': 3, 'abc_quality': 0.9733322416401273, 'absD': 11373571382179402242, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [1, -1, 0, 354114, 140443470], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 164934, 'degree': 3538944, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3405205753942553633032391493', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [57258048889007, 132611470002], 'lmfdb_iso': '164934.bj', 'lmfdb_label': '164934.bj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 803, 15509], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '84.12.0.?', '136.24.0.?', '168.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 18326], [7, 26, 3366], [11, 12, 14994], [17, 18, 9702]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81825935653254386505294015912', 'prec': 103}, 'szpiro_ratio': 4.2490434946620175, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}