Elliptic curve isogeny class data - 18720.a

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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, 0, 0, -4, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -4, -4, -1, -2, 4, 2, 2, -6, 2, 2, -4, 12, 0, -8, 6, 10, 8, 4, -4, 4, -2, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 18720, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '18720.a', 'trace_hash': 1801942102181494070}
• ec_padic •

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

  
  
  • id: 862925
    {'lmfdb_iso': '18720.a', 'p': 7, 'prec': 20, 'unit': 604459979575913, 'val': 2}
  • id: 862930
    {'lmfdb_iso': '18720.a', 'p': 11, 'prec': 20, 'unit': 9892663989652616354, 'val': 1}
  • id: 862931
    {'lmfdb_iso': '18720.a', 'p': 17, 'prec': 20, 'unit': 156851533389082186589136, 'val': 1}
  • id: 862932
    {'lmfdb_iso': '18720.a', 'p': 19, 'prec': 20, 'unit': 651823348772837601279077, 'val': 1}
  • id: 862935
    {'lmfdb_iso': '18720.a', 'p': 23, 'prec': 20, 'unit': 67145576478469523594707454, 'val': 1}
  • id: 862928
    {'lmfdb_iso': '18720.a', 'p': 29, 'prec': 20, 'unit': 2092454979452054661423752721, 'val': 1}
  • id: 862940
    {'lmfdb_iso': '18720.a', 'p': 31, 'prec': 20, 'unit': 9836744042015901126834550814, 'val': 1}
  • id: 862924
    {'lmfdb_iso': '18720.a', 'p': 37, 'prec': 20, 'unit': 133500312457203900415573810992, 'val': 1}
  • id: 862926
    {'lmfdb_iso': '18720.a', 'p': 41, 'prec': 20, 'unit': 4175124514365090259527384337056, 'val': 1}
  • id: 862927
    {'lmfdb_iso': '18720.a', 'p': 43, 'prec': 20, 'unit': 4941423141359876079085788519140, 'val': 1}
  • id: 862938
    {'lmfdb_iso': '18720.a', 'p': 47, 'prec': 20, 'unit': 2375409427901085403078762260321, 'val': 1}
  • id: 862933
    {'lmfdb_iso': '18720.a', 'p': 59, 'prec': 20, 'unit': 1471072085032989762840570267562359, 'val': 1}
  • id: 862939
    {'lmfdb_iso': '18720.a', 'p': 61, 'prec': 20, 'unit': 6504973169318980549079123342089120, 'val': 1}
  • id: 862923
    {'lmfdb_iso': '18720.a', 'p': 67, 'prec': 20, 'unit': 26548033181443710564733843709036744, 'val': 1}
  • id: 862937
    {'lmfdb_iso': '18720.a', 'p': 71, 'prec': 20, 'unit': 69204650775663401027737890499510826, 'val': 1}
  • id: 862934
    {'lmfdb_iso': '18720.a', 'p': 73, 'prec': 20, 'unit': 72261624513849418930843829268119333, 'val': 1}
  • id: 862929
    {'lmfdb_iso': '18720.a', 'p': 79, 'prec': 20, 'unit': 203662279724772670753316909578957999, 'val': 1}
  • id: 862922
    {'lmfdb_iso': '18720.a', 'p': 83, 'prec': 20, 'unit': 2755747515274983129153812719689260975, 'val': 1}
  • id: 862936
    {'lmfdb_iso': '18720.a', 'p': 89, 'prec': 20, 'unit': 10328115733266931182786677279699460693, 'val': 1}
  • id: 862921
    {'lmfdb_iso': '18720.a', 'p': 97, 'prec': 20, 'unit': 45524601267987552194436832360340716745, '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: 123900
    {'Ciso': '18720b', 'Clabel': '18720b2', 'Cnumber': 2, 'abc_quality': 1.0132332228564584, 'absD': 8515653120, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -1323, -17982], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 18720, 'degree': 12288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67833970698075911390889164260', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [25412184, 845], 'lmfdb_iso': '18720.a', 'lmfdb_label': '18720.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1323, -17982], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '156.6.0.?', '520.6.0.?', '1560.12.0.?'], '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': '4.2026804843584825444981349746', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 2, 2080], [5, 6, 3744], [13, 14, 1440]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66547989494028213670046637619', 'prec': 107}, 'szpiro_ratio': 3.372512120958825, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 123899
    {'Ciso': '18720b', 'Clabel': '18720b1', 'Cnumber': 1, 'abc_quality': 0.9694406516020868, 'absD': 409406400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 27, -972], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 18720, 'degree': 6144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.33176611670078645920027558187', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [1728, 325], 'lmfdb_iso': '18720.a', 'lmfdb_label': '18720.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 27, -972], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '78.6.0.?', '120.6.0.?', '520.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1013402421792412722490674873', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 2, 2080], [5, 6, 3744], [13, 14, 1440]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83876669008026846405477440655', 'prec': 107}, 'szpiro_ratio': 2.7732939649756103, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}