Elliptic curve isogeny class data - 356160.es

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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, -1, 0, -1, 0, 1, 0, 4, 0, 6, 0, -1, 0, 6, 0, 8, 0], 'aplist': [0, 1, -1, -1, 4, 6, 6, 8, -8, 2, 0, -2, -2, -8, -12, -1, 4, -10, -12, 4, 10, 8, -4, -14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 356160, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '356160.es', 'trace_hash': 778979105697713615}
• lmfdb_iso 356160.es 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: 2224812
    {'Ciso': '356160es', 'Clabel': '356160es3', 'Cnumber': 3, 'abc_quality': 0.9438106074010382, 'absD': 5406346596188160, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, -1224321, 521004159], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 7077888, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1239247029338540250993458003', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2, 4], 'jinv': [1548460162842143042, 41247151155], 'lmfdb_iso': '356160.es', 'lmfdb_label': '356160.es1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -306080, -65278560], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '12.12.0-4.c.1.1', '24.24.0-24.bb.1.10', '2120.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0759258767990793403383412270', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 795], [3, 4, 118720], [5, 6, 71232], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1419661971405981700916002949', 'prec': 100}, 'szpiro_ratio': 4.198288861075649, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2224811
    {'Ciso': '356160es', 'Clabel': '356160es2', 'Cnumber': 2, 'abc_quality': 0.8997559221647482, 'absD': 8055478945382400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, -79521, 7446879], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 3538944, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7773511126538813703907297395', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2], 'jinv': [848583809246884, 122916854025], 'lmfdb_iso': '356160.es', 'lmfdb_label': '356160.es2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -19880, -940800], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.1', '24.24.0-24.a.1.2', '1060.12.0.?', '2120.24.0.?', '3180.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5379629383995396701691706135', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 118720], [5, 6, 71232], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85315487190728762450108691089', 'prec': 103}, 'szpiro_ratio': 3.556634864898584, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2224810
    {'Ciso': '356160es', 'Clabel': '356160es1', 'Cnumber': 1, 'abc_quality': 0.8689285046718717, 'absD': 113062074531840, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, -21201, -1079505], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 1769472, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4307775223739087156821136788', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2, 4], 'jinv': [64326999643216, 6900761385], 'lmfdb_iso': '356160.es', 'lmfdb_label': '356160.es3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -5300, 132288], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.bb.1.8', '530.6.0.?', '1060.12.0.?', '2120.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2689814691997698350845853068', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 265], [3, 4, 118720], [5, 6, 71232], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62210581172063918802867620376', 'prec': 103}, 'szpiro_ratio': 3.246391433814424, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2224813
    {'Ciso': '356160es', 'Clabel': '356160es4', 'Cnumber': 4, 'abc_quality': 0.933285393239588, 'absD': 855171593256960000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, 132159, 40511295], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 356160, 'degree': 7077888, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1239247029338540250993458003', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 122, 'isogeny_degrees': [1, 2, 4], 'jinv': [1947604329004318, 6524441476875], 'lmfdb_iso': '356160.es', 'lmfdb_label': '356160.es4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 33040, -5047392], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '12.12.0-4.c.1.2', '24.24.0-24.v.1.3', '2120.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0759258767990793403383412270', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3], [3, 4, 118720], [5, 6, 71232], [7, 8, 50880], [53, 54, 6720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1419661971405981700916002949', 'prec': 100}, 'szpiro_ratio': 3.798375825142753, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}