Elliptic curve isogeny class data - 254800.cs

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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, 0, 0, 0, 0, -2, 0, 3, 0, 1, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, -1, 0, 0, 3, 1, 6, 2, 9, 6, 5, 7, -9, -10, -3, 0, 12, 1, -13, 12, 11, -17, 6, 6, -19], 'class_deg': 9, 'class_size': 3, 'conductor': 254800, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '254800.cs', 'trace_hash': 1925212189774609318}
• lmfdb_iso 254800.cs 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: 1617929
    {'Ciso': '254800cs', 'Clabel': '254800cs3', 'Cnumber': 3, 'abc_quality': 1.0476037319513174, 'absD': 7741683672112564491806100684800000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 32760, 'ainvs': [0, -1, 0, -989862671408, -402005580473626688], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 254800, 'degree': 5267275776, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.8279689887764685444188375031', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 70, 'isogeny_degrees': [1, 3, 9], 'jinv': [-14245586655234650511684983641, 1028175397808386133196800], 'lmfdb_iso': '254800.cs', 'lmfdb_label': '254800.cs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -50503198, -146507820272], 'min_quad_twist_disc': 140, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '117.36.0.?', '420.8.0.?', '728.2.0.?', '1260.24.0.?', '1560.8.0.?', '2184.8.0.?', '4680.72.0.?', '6552.72.3.?', '10920.16.0.?', '16380.72.0.?', '32760.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [5, 18, 10192], [7, 32, 5200], [13, 14, 19600]], 'sha': 36, 'sha_primes': [2, 3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.3571477774718163951485493433', 'prec': 100}, 'szpiro_ratio': 7.598959850000149, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1617927
    {'Ciso': '254800cs', 'Clabel': '254800cs1', 'Cnumber': 1, 'abc_quality': 1.0145266852097035, 'absD': 16393652843750000000000000000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 32760, 'ainvs': [0, -1, 0, -11337571408, 503839174373312], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 254800, 'degree': 585252864, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7293567001083588530235922662', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 70, 'isogeny_degrees': [1, 3, 9], 'jinv': [-21405018343206000779641, 2177246093750000000], 'lmfdb_iso': '254800.cs', 'lmfdb_label': '254800.cs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -578448, 183565278], 'min_quad_twist_disc': 140, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '117.36.0.?', '420.8.0.?', '728.2.0.?', '1260.24.0.?', '1560.8.0.?', '2184.8.0.?', '4680.72.0.?', '6552.72.3.?', '10920.16.0.?', '16380.72.0.?', '32760.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [5, 18, 10192], [7, 32, 5200], [13, 14, 19600]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2585354888037067037533041064', 'prec': 100}, 'szpiro_ratio': 6.5253983563155735, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1617928
    {'Ciso': '254800cs', 'Clabel': '254800cs2', 'Cnumber': 2, 'abc_quality': 1.0818447636819732, 'absD': 21874118780192861192192000000000000, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 32760, 'ainvs': [0, -1, 0, 69818678592, -462165200626688], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 254800, 'degree': 1755758592, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.2786628444424136987212148846', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 70, 'isogeny_degrees': [1, 3], 'jinv': [4998853083179567995470359, 2905108466204672000000], 'lmfdb_iso': '254800.cs', 'lmfdb_label': '254800.cs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3562177, -168122222], 'min_quad_twist_disc': 140, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '117.36.0.?', '420.24.0.?', '728.2.0.?', '1560.24.0.?', '2184.24.1.?', '4680.72.0.?', '6552.72.3.?', '10920.48.1.?', '16380.72.0.?', '32760.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [3, 2, 19600], [5, 18, 10192], [7, 32, 5200], [13, 14, 19600]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8078416331377615494509267248', 'prec': 100}, 'szpiro_ratio': 6.950472160271717, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}