Elliptic curve isogeny class data - 141120.iz

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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, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 1, 0, -4, -2, -2, 4, 0, 10, 0, -6, -10, -8, 4, 6, 0, 10, -8, -8, 2, -4, -12, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 141120, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '141120.iz', 'trace_hash': 1253120238574687313}
• lmfdb_iso 141120.iz 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: 917696
    {'Ciso': '141120ik', 'Clabel': '141120ik4', 'Cnumber': 4, 'abc_quality': 1.0388414614464727, 'absD': 204962377460133888000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -571564812, -5259522722384], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 23592960, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4737224461318339986485712379', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4], 'jinv': [7347751505995469192, 72930375], 'lmfdb_iso': '141120.iz', 'lmfdb_label': '141120.iz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -324016, 71098216], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '40.12.0-4.c.1.3', '56.12.0-4.c.1.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.12.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 8, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0850272515701908636267320959', 'prec': 100}, 'szpiro_ratio': 6.0810528358908655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 917695
    {'Ciso': '141120ik', 'Clabel': '141120ik3', 'Cnumber': 3, 'abc_quality': 1.1264220448513693, 'absD': 8574303477184715354112000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -51184812, -4300358384], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 23592960, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4737224461318339986485712379', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4], 'jinv': [5276930158229192, 3050936350875], 'lmfdb_iso': '141120.iz', 'lmfdb_label': '141120.iz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -29016, 67716], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '40.12.0-4.c.1.3', '56.12.0-4.c.1.4', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.12.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 8, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0850272515701908636267320959', 'prec': 100}, 'szpiro_ratio': 5.470562682575924, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 917694
    {'Ciso': '141120ik', 'Clabel': '141120ik2', 'Cnumber': 2, 'abc_quality': 1.02660573918469, 'absD': 15881969937121344000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -35749812, -82049540384], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 11796480, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1271488558518613439399551772', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2], 'jinv': [14383655824793536, 45209390625], 'lmfdb_iso': '141120.iz', 'lmfdb_label': '141120.iz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20266, 1114216], 'min_quad_twist_disc': -168, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.2', '24.12.0-2.a.1.1', '56.12.0-2.a.1.1', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91174045643020453627242406556', 'prec': 103}, 'szpiro_ratio': 5.379758913612494, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 917693
    {'Ciso': '141120ik', 'Clabel': '141120ik1', 'Cnumber': 1, 'abc_quality': 1.0456675584451367, 'absD': 2279502684703125000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -1296687, -2366352884], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 5898240, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7805752655718886892313391165', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4], 'jinv': [-43927191786304, 415283203125], 'lmfdb_iso': '141120.iz', 'lmfdb_label': '141120.iz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11761, 2048065], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '40.12.0-4.c.1.3', '56.12.0-4.c.1.2', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91174045643020453627242406559', 'prec': 103}, 'szpiro_ratio': 4.781194881886257, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}