Elliptic curve isogeny class data - 244398.c

Formats: - HTML - YAML - JSON - 2025-11-05T10:28:25.913268

• 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, -2, 1, 1, -1, 1, 2, -1, -1, 2, -1, 2, 1, -6, -1, 8, -2], 'aplist': [-1, -1, -2, 1, -1, 2, -6, 8, 0, 2, 8, -6, 6, -8, 4, -10, 4, 14, 4, -4, -14, 8, -4, 14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 244398, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '244398.c', 'trace_hash': 1597896960190429226}
• lmfdb_iso 244398.c 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: 1554674
    {'Ciso': '244398c', 'Clabel': '244398c4', 'Cnumber': 4, 'abc_quality': 1.034127412075929, 'absD': 1356940535602573152, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6072, 'ainvs': [1, 1, 0, -48670391, -130711174731], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 244398, 'degree': 23654400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9070522630657953782972205541', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [86129359107301290313, 9166294368], 'lmfdb_iso': '244398.c', 'lmfdb_label': '244398.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -92004, 10703088], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '88.12.0.?', '184.12.0.?', '264.24.0.?', '552.24.0.?', '1012.12.0.?', '2024.24.0.?', '6072.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4369942874597665103441085975', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5819], [3, 4, 81466], [5, 2, 122199], [7, 8, 34914], [11, 12, 22218], [23, 266, 462]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3393051551012205328938441382', 'prec': 100}, 'szpiro_ratio': 5.216222880498816, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1554672
    {'Ciso': '244398c', 'Clabel': '244398c2', 'Cnumber': 2, 'abc_quality': 1.003703237419837, 'absD': 32104952480210125824, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6072, 'ainvs': [1, 1, 0, -3049431, -2032694955], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 244398, 'degree': 11827200, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5604786727858227235886044934', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [21184262604460873, 216872764416], 'lmfdb_iso': '244398.c', 'lmfdb_label': '244398.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5764, 164560], 'min_quad_twist_disc': -23, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '88.12.0.?', '132.12.0.?', '184.12.0.?', '264.24.0.?', '276.12.0.?', '552.24.0.?', '1012.12.0.?', '2024.24.0.?', '3036.24.0.?', '6072.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2184971437298832551720542987', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 529], [3, 4, 81466], [5, 2, 122199], [7, 8, 34914], [11, 12, 22218], [23, 266, 462]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99273156482124787818522807750', 'prec': 103}, 'szpiro_ratio': 4.546387606477913, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1554673
    {'Ciso': '244398c', 'Clabel': '244398c3', 'Cnumber': 3, 'abc_quality': 1.0650939044748338, 'absD': 10795327429980469866336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6072, 'ainvs': [1, 1, 0, -764151, -5005844235], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 244398, 'degree': 23654400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9070522630657953782972205541', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [-333345918055753, 72923718045024], 'lmfdb_iso': '244398.c', 'lmfdb_label': '244398.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1444, 410800], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '88.12.0.?', '184.12.0.?', '264.24.0.?', '276.12.0.?', '552.24.0.?', '2024.24.0.?', '6072.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4369942874597665103441085975', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1587], [3, 4, 81466], [5, 2, 122199], [7, 8, 34914], [11, 12, 22218], [23, 266, 462]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3393051551012205328938441382', 'prec': 100}, 'szpiro_ratio': 4.690324591900838, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1554671
    {'Ciso': '244398c', 'Clabel': '244398c1', 'Cnumber': 1, 'abc_quality': 1.0045488905924413, 'absD': 2259016789647163392, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6072, 'ainvs': [1, 1, 0, -340951, 25208149], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 244398, 'degree': 5913600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2139050825058500688799884327', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [29609739866953, 15259926528], 'lmfdb_iso': '244398.c', 'lmfdb_label': '244398.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -644, -2352], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '66.6.0.a.1', '88.12.0.?', '132.12.0.?', '184.12.0.?', '264.24.0.?', '276.12.0.?', '552.24.0.?', '1012.12.0.?', '2024.24.0.?', '3036.24.0.?', '6072.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4369942874597665103441085975', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 17457], [3, 4, 81466], [5, 2, 122199], [7, 8, 34914], [11, 12, 22218], [23, 266, 462]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64615797454127522347661201680', 'prec': 103}, 'szpiro_ratio': 4.0165941717372, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}