Elliptic curve isogeny class data - 378560.dz

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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, -1, 0, -3, 0, 4, 0, 0, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -1, -1, 4, 0, 2, -4, 8, 2, -4, 10, 6, 0, -8, -2, 12, 2, -4, -12, 2, -8, 4, -2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 378560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '378560.dz', 'trace_hash': 2219415655310933512}
• lmfdb_iso 378560.dz 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: 2357094
    {'Ciso': '378560dz', 'Clabel': '378560dz4', 'Cnumber': 4, 'abc_quality': 1.0218494599601673, 'absD': 6296939177984000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -1179378668, -15588882784592], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 378560, 'degree': 123863040, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8491597474105343880648887847', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 103, 'isogeny_degrees': [1, 2, 4], 'jinv': [143378317900125424089, 4976562500000], 'lmfdb_iso': '378560.dz', 'lmfdb_label': '378560.dz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -109040, -13831200], 'min_quad_twist_disc': 104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.y.1.11', '52.12.0-4.c.1.1', '104.24.0.?', '520.48.0.?'], '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': '71.449226631809253592005004541', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 2, 75712], [5, 6, 75712], [7, 8, 54080], [13, 98, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5269642978398480559122968817', 'prec': 100}, 'szpiro_ratio': 5.783059233773093, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2357092
    {'Ciso': '378560dz', 'Clabel': '378560dz2', 'Cnumber': 2, 'abc_quality': 1.024072323663204, 'absD': 8214835725057654784000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -77011948, -220567867728], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 378560, 'degree': 61931520, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5025861571305617333562727239', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 103, 'isogeny_degrees': [1, 2], 'jinv': [39920686684059609, 6492304000000], 'lmfdb_iso': '378560.dz', 'lmfdb_label': '378560.dz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -7120, -194304], 'min_quad_twist_disc': 104, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0-2.a.1.2', '40.24.0-40.b.1.6', '52.12.0-2.a.1.1', '104.24.0.?', '260.24.0.?', '520.48.0.?'], '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': '35.724613315904626796002502271', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 2, 75712], [5, 6, 75712], [7, 8, 54080], [13, 98, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1803907075598754012036808209', 'prec': 100}, 'szpiro_ratio': 5.14569824224209, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2357091
    {'Ciso': '378560dz', 'Clabel': '378560dz1', 'Cnumber': 1, 'abc_quality': 0.9692185652309827, 'absD': 105645108727900012544000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, -21634028, 35433180848], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 378560, 'degree': 30965760, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1560125668505890786476566632', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 103, 'isogeny_degrees': [1, 2, 4], 'jinv': [884984855328729, 83492864000], 'lmfdb_iso': '378560.dz', 'lmfdb_label': '378560.dz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2000, 32000], 'min_quad_twist_disc': 104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '40.24.0-40.y.1.3', '104.24.0.?', '130.6.0.?', '260.12.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.862306657952313398001251135', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 845], [3, 2, 75712], [5, 6, 75712], [7, 8, 54080], [13, 98, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83381711727990274649506476023', 'prec': 103}, 'szpiro_ratio': 4.849136354350144, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2357093
    {'Ciso': '378560dz', 'Clabel': '378560dz3', 'Cnumber': 3, 'abc_quality': 1.050921871224009, 'absD': 833331419330229881012224000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [0, 0, 0, 139308052, -1236320059728], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 378560, 'degree': 123863040, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8491597474105343880648887847', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 103, 'isogeny_degrees': [1, 2, 4], 'jinv': [236293804275620391, 658593925444000], 'lmfdb_iso': '378560.dz', 'lmfdb_label': '378560.dz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12880, -1102304], 'min_quad_twist_disc': 104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '40.24.0-40.s.1.5', '52.12.0-4.c.1.2', '104.24.0.?', '520.48.0.?'], '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': '71.449226631809253592005004541', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 2, 75712], [5, 6, 75712], [7, 8, 54080], [13, 98, 2240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5269642978398480559122968817', 'prec': 100}, 'szpiro_ratio': 5.38841222193322, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}