Elliptic curve isogeny class data - 239904.df

Formats: - HTML - YAML - JSON - 2024-05-01T19:50:00.830087

• 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, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 8, 0], 'aplist': [0, 0, 2, 0, 0, 2, -1, 8, 0, -2, 0, 2, 6, 4, -8, 6, 4, -6, 12, 0, -6, -8, -12, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 239904, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '239904.df', 'trace_hash': 1618200851567542886}
• lmfdb_iso 239904.df 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1527454
    {'Ciso': '239904df', 'Clabel': '239904df4', 'Cnumber': 4, 'abc_quality': 0.9099907343626505, 'absD': 423270215843328, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 0, 0, -561099, -161770462], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 239904, 'degree': 1376256, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9229761478791271590927541166', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 4], 'jinv': [444893916104, 9639], 'lmfdb_iso': '239904.df', 'lmfdb_label': '239904.df1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1272, 17892], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '56.12.0-4.c.1.5', '136.12.0.?', '168.24.0.?', '408.24.0.?', '952.24.0.?', '1428.12.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.160743432529938543763061505', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11914545640254332122046896468', 'prec': 107}, 'szpiro_ratio': 4.143250347438374, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1527452
    {'Ciso': '239904df', 'Clabel': '239904df2', 'Cnumber': 2, 'abc_quality': 0.8470756096734756, 'absD': 43016795269410816, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 0, 0, -148764, 19701920], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 239904, 'degree': 1376256, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9229761478791271590927541166', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 4], 'jinv': [1036433728, 122451], 'lmfdb_iso': '239904.df', 'lmfdb_label': '239904.df2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -337, -2015], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '28.12.0-4.c.1.1', '136.12.0.?', '168.24.0.?', '204.12.0.?', '408.24.0.?', '952.24.0.?', '1428.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7901858581324846359407653762', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29243225154252964857477699504', 'prec': 107}, 'szpiro_ratio': 3.8217609626861373, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1527451
    {'Ciso': '239904df', 'Clabel': '239904df1', 'Cnumber': 1, 'abc_quality': 0.8466607269254457, 'absD': 699571606741056, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 0, 0, -36309, -2339260], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 239904, 'degree': 688128, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5764025575991545043841380559', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2], 'jinv': [964430272, 127449], 'lmfdb_iso': '239904.df', 'lmfdb_label': '239904.df3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -82, 280], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '28.12.0-2.a.1.1', '136.12.0.?', '168.24.0.?', '204.12.0.?', '408.24.0.?', '952.24.0.?', '1428.24.0.?', '2856.48.0.?'], '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': '7.5803717162649692718815307523', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29243225154252964857477699501', 'prec': 107}, 'szpiro_ratio': 3.4802297593381146, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1527453
    {'Ciso': '239904df', 'Clabel': '239904df3', 'Cnumber': 3, 'abc_quality': 0.8851743422828932, 'absD': 77019502608824832, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 0, 0, 56301, -12322618], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 239904, 'degree': 1376256, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9229761478791271590927541166', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 4], 'jinv': [449455096, 1753941], 'lmfdb_iso': '239904.df', 'lmfdb_label': '239904.df4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 128, 1288], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '28.12.0-4.c.1.2', '136.12.0.?', '168.24.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.160743432529938543763061505', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11914545640254332122046896468', 'prec': 107}, 'szpiro_ratio': 3.7275638871560717, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}