Elliptic curve isogeny class data - 54080.bs

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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, -4, 0, -3, 0, -4, 0, 0, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 1, -4, -4, 0, 2, -4, -4, 2, -8, 6, 6, -8, 4, -6, 4, 2, -8, 0, 6, 0, 16, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 54080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '54080.bs', 'trace_hash': 259159217934932620}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2730950
    {'lmfdb_iso': '54080.bs', 'p': 7, 'prec': 20, 'unit': 542432360310166, 'val': 2}
  • id: 2730955
    {'lmfdb_iso': '54080.bs', 'p': 11, 'prec': 20, 'unit': 3292663350591939219, 'val': 2}
  • id: 2730956
    {'lmfdb_iso': '54080.bs', 'p': 17, 'prec': 20, 'unit': 162431286957406262950477, 'val': 1}
  • id: 2730957
    {'lmfdb_iso': '54080.bs', 'p': 19, 'prec': 20, 'unit': 691920454827848920146701, 'val': 1}
  • id: 2730960
    {'lmfdb_iso': '54080.bs', 'p': 23, 'prec': 20, 'unit': 4468007087802393000003524, 'val': 1}
  • id: 2730953
    {'lmfdb_iso': '54080.bs', 'p': 29, 'prec': 20, 'unit': 3267767125068323320416708784, 'val': 1}
  • id: 2730964
    {'lmfdb_iso': '54080.bs', 'p': 31, 'prec': 20, 'unit': 13945241525674818380020056188, 'val': 1}
  • id: 2730949
    {'lmfdb_iso': '54080.bs', 'p': 37, 'prec': 20, 'unit': 518467889347946081378451181410, 'val': 1}
  • id: 2730951
    {'lmfdb_iso': '54080.bs', 'p': 41, 'prec': 20, 'unit': 290771026244806472885578301971, 'val': 1}
  • id: 2730952
    {'lmfdb_iso': '54080.bs', 'p': 43, 'prec': 20, 'unit': 2168515417445521880226782229723, 'val': 1}
  • id: 2730954
    {'lmfdb_iso': '54080.bs', 'p': 47, 'prec': 20, 'unit': 10428585585462381991632321554, 'val': 1}
  • id: 2730958
    {'lmfdb_iso': '54080.bs', 'p': 53, 'prec': 20, 'unit': 410646452995142632895951555324915, 'val': 1}
  • id: 2730962
    {'lmfdb_iso': '54080.bs', 'p': 59, 'prec': 20, 'unit': 2405617972135337969361270487107948, 'val': 1}
  • id: 2730963
    {'lmfdb_iso': '54080.bs', 'p': 61, 'prec': 20, 'unit': 1835991925167803643344152012007746, 'val': 1}
  • id: 2730948
    {'lmfdb_iso': '54080.bs', 'p': 67, 'prec': 20, 'unit': 39569835825180711920237702843371898, 'val': 1}
  • id: 2730959
    {'lmfdb_iso': '54080.bs', 'p': 73, 'prec': 20, 'unit': 31140175733957007431444377221345378, 'val': 1}
  • id: 2730947
    {'lmfdb_iso': '54080.bs', 'p': 83, 'prec': 20, 'unit': 3089470837582204855523056096506789, 'val': 2}
  • id: 2730961
    {'lmfdb_iso': '54080.bs', 'p': 89, 'prec': 20, 'unit': 8975354195400891776048272279109478912, 'val': 1}
  • id: 2730946
    {'lmfdb_iso': '54080.bs', 'p': 97, 'prec': 20, 'unit': 11356127962390500058897309830255636791, 'val': 1}
• 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: 358890
    {'Ciso': '54080cw', 'Clabel': '54080cw4', 'Cnumber': 4, 'abc_quality': 1.1363232938776144, 'absD': 1581648773120, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 0, 0, -72332, 7487376], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54080, 'degree': 147456, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4268344870145511099968798453', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [132304644, 5], 'lmfdb_iso': '54080.bs', 'lmfdb_label': '54080.bs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -107, -426], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '16.24.0.i.1', '20.12.0.g.1', '40.48.0.bq.1', '80.96.3.?', '104.24.0.?', '208.48.0.?', '520.96.0.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7066779712254885038306234737', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 845], [5, 6, 10816], [13, 86, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670409', 'prec': 107}, 'szpiro_ratio': 4.145692595994329, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 358888
    {'Ciso': '54080cw', 'Clabel': '54080cw2', 'Cnumber': 2, 'abc_quality': 1.0917548251330267, 'absD': 1977060966400, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 520, 'ainvs': [0, 0, 0, -4732, 105456], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54080, 'degree': 73728, 'elladic_images': ['8.24.0.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0802608967345784552882637846', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [148176, 25], 'lmfdb_iso': '54080.bs', 'lmfdb_label': '54080.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7, -6], 'min_quad_twist_disc': -104, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.g.1', '20.24.0.b.1', '40.96.3.bk.1', '104.48.0.?', '520.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3533389856127442519153117369', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [5, 6, 10816], [13, 86, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0108854926494594403919174112', 'prec': 103}, 'szpiro_ratio': 3.395041914197634, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 358887
    {'Ciso': '54080cw', 'Clabel': '54080cw1', 'Cnumber': 1, 'abc_quality': 1.018975235452531, 'absD': 24713262080, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 0, 0, -1352, -17576], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54080, 'degree': 36864, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73368730645460580057964772384', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [55296, 5], 'lmfdb_iso': '54080.bs', 'lmfdb_label': '54080.bs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2, 1], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '16.24.0.i.1', '20.12.0.g.1', '40.48.0.bq.2', '80.96.3.?', '104.24.0.?', '208.48.0.?', '520.96.0.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7066779712254885038306234737', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 845], [5, 6, 10816], [13, 86, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1264100227427836586281227648', 'prec': 103}, 'szpiro_ratio': 3.0501884422319, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 358889
    {'Ciso': '54080cw', 'Clabel': '54080cw3', 'Cnumber': 3, 'abc_quality': 1.0467057018818753, 'absD': 197706096640000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 0, 0, 8788, 597584], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54080, 'degree': 147456, 'elladic_images': ['4.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4268344870145511099968798453', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 4], 'jinv': [237276, 625], 'lmfdb_iso': '54080.bs', 'lmfdb_label': '54080.bs4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 13, -34], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0.c.1', '40.48.1.dk.1', '80.96.3.?', '104.48.0.?', '520.96.1.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1766694928063721259576558684', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [5, 6, 10816], [13, 86, 320]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670409', 'prec': 107}, 'szpiro_ratio': 3.681743154389946, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}