Elliptic curve isogeny class data - 27200.bp

Formats: - HTML - YAML - JSON - 2025-11-09T16:43:21.609496

• 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, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0, -2, 0, 0, 0, -1, 0, -4, 0], 'aplist': [0, 0, 0, 4, 0, -2, -1, -4, 4, -6, -4, -2, -6, -4, 0, 6, -12, 10, -4, 4, 6, -12, 4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 27200, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '27200.bp', 'trace_hash': 1691096416908191867}
• lmfdb_iso 27200.bp 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: 180441
    {'Ciso': '27200br', 'Clabel': '27200br4', 'Cnumber': 4, 'abc_quality': 1.0313050753900588, 'absD': 69632000000, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 5440, 'ainvs': [0, 0, 0, -145100, 21274000], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27200, 'degree': 65536, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4678036061156246704687948446', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '27200.bp', 'lmfdb_label': '27200.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '32.48.0.f.2', '34.6.0.a.1', '40.24.0-8.o.1.4', '68.12.0.g.1', '80.48.0.?', '136.48.0.?', '160.96.0.?', '272.192.7.?', '544.384.21.?', '680.96.0.?', '1088.768.53.?', '1360.384.7.?', '2720.768.21.?', '5440.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 425], [5, 14, 1088], [17, 18, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300420', 'prec': 107}, 'szpiro_ratio': 4.629249515271858, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 180439
    {'Ciso': '27200br', 'Clabel': '27200br2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 1183744000000, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 2720, 'ainvs': [0, 0, 0, -9100, 330000], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27200, 'degree': 32768, 'elladic_images': ['16.48.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1212300158356520157601787838', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '27200.bp', 'lmfdb_label': '27200.bp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.f.1', '16.48.0.c.2', '40.48.0-8.f.1.2', '68.24.0.b.1', '80.96.0.?', '136.96.3.?', '272.384.21.?', '544.768.53.?', '680.192.3.?', '1360.768.21.?', '2720.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 14, 1088], [17, 18, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906500', 'prec': 107}, 'szpiro_ratio': 3.8156691789582693, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 180438
    {'Ciso': '27200br', 'Clabel': '27200br1', 'Cnumber': 1, 'abc_quality': 1.024323072883995, 'absD': 69632000000, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 5440, 'ainvs': [0, 0, 0, -1100, -6000], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27200, 'degree': 16384, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77465642555567936105156272311', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [35937, 17], 'lmfdb_iso': '27200.bp', 'lmfdb_label': '27200.bp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 0], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '32.48.0.f.2', '34.6.0.a.1', '40.24.0-8.o.1.2', '68.12.0.g.1', '80.48.0.?', '136.48.0.?', '160.96.0.?', '272.192.7.?', '544.384.21.?', '680.96.0.?', '1088.768.53.?', '1360.384.7.?', '2720.768.21.?', '5440.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 425], [5, 14, 1088], [17, 18, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'szpiro_ratio': 3.194876903302296, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 180440
    {'Ciso': '27200br', 'Clabel': '27200br3', 'Cnumber': 3, 'abc_quality': 1.1807067659885138, 'absD': 342102016000000, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 5440, 'ainvs': [0, 0, 0, -1100, 890000], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27200, 'degree': 65536, 'elladic_images': ['16.48.0.76'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4678036061156246704687948446', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '27200.bp', 'lmfdb_label': '27200.bp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.t.1', '16.48.0.m.2', '20.24.0-4.d.1.2', '40.48.0-8.t.1.2', '80.96.0.?', '136.48.1.?', '272.192.9.?', '544.384.21.?', '680.96.1.?', '1088.768.53.?', '1360.384.9.?', '2720.768.21.?', '5440.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 14, 1088], [17, 18, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300420', 'prec': 107}, 'szpiro_ratio': 4.00756147504672, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}