Elliptic curve isogeny class data - 227136.ba

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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, -4, 0, 0, 0, 2, 0, -2, 0, 4, 0], 'aplist': [0, -1, -2, 1, -4, 0, -2, 4, -4, 2, -8, -10, 2, -8, 0, 10, -12, -10, -8, -12, -2, 0, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 227136, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '227136.ba', 'trace_hash': 798120647995299186}
• lmfdb_iso 227136.ba 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
  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: 1450307
    {'Ciso': '227136cp', 'Clabel': '227136cp4', 'Cnumber': 4, 'abc_quality': 0.9759310136796975, 'absD': 3321462423552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -151649, -22679775], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 227136, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5704150410240293026807108453', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [2438569736, 21], 'lmfdb_iso': '227136.ba', 'lmfdb_label': '227136.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -224, 1368], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '56.12.0.ba.1', '104.12.0.?', '156.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], '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': '3.2573552462067900007159490676', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3549], [3, 4, 75712], [7, 8, 32448], [13, 86, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57849361340667070211757302730', 'prec': 107}, 'szpiro_ratio': 3.843380531017553, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1450305
    {'Ciso': '227136cp', 'Clabel': '227136cp2', 'Cnumber': 2, 'abc_quality': 0.9666197140470211, 'absD': 8718838861824, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -9689, -335271], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 227136, 'degree': 491520, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2238414507440566479720947846', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [5088448, 441], 'lmfdb_iso': '227136.ba', 'lmfdb_label': '227136.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -14, 24], 'min_quad_twist_disc': -104, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '28.12.0.a.1', '104.12.0.?', '156.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6286776231033950003579745338', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 75712], [7, 8, 32448], [13, 86, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75178040854665702947188105764', 'prec': 107}, 'szpiro_ratio': 3.17432741403018, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1450304
    {'Ciso': '227136cp', 'Clabel': '227136cp1', 'Cnumber': 1, 'abc_quality': 0.9673193989883411, 'absD': 175155244992, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -2084, 31290], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 227136, 'degree': 245760, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87726786046408399326347872382', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [3241792, 567], 'lmfdb_iso': '227136.ba', 'lmfdb_label': '227136.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -49, -95], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '28.12.0.h.1', '104.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], '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': '3.2573552462067900007159490676', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1183], [3, 4, 75712], [7, 8, 32448], [13, 86, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75178040854665702947188105769', 'prec': 107}, 'szpiro_ratio': 2.8005646652730447, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1450306
    {'Ciso': '227136cp', 'Clabel': '227136cp3', 'Cnumber': 3, 'abc_quality': 0.9710857330134317, 'absD': 1139261611278336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, 10591, -1572351], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 227136, 'degree': 983040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5704150410240293026807108453', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [830584, 7203], 'lmfdb_iso': '227136.ba', 'lmfdb_label': '227136.ba4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, 84], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '56.12.0.ba.1', '104.12.0.?', '156.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], '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': '3.2573552462067900007159490676', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 507], [3, 4, 75712], [7, 8, 32448], [13, 86, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57849361340667070211757302730', 'prec': 107}, 'szpiro_ratio': 3.4098579165769567, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}