Elliptic curve isogeny class data - 3192.e

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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, 0, 0, -1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, -1, 0, -1, 0, -2, 0, 1, 4, 0, 8, 6, -6, -4, -2, -12, -12, -10, 4, 10, -10, 4, 14, 10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 3192, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3192.e', 'trace_hash': 2029352075053223949}
• ec_padic •

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

  
  
  • id: 104812
    {'lmfdb_iso': '3192.e', 'p': 13, 'prec': 20, 'unit': 1052274829337688570917, 'val': 1}
  • id: 104818
    {'lmfdb_iso': '3192.e', 'p': 23, 'prec': 20, 'unit': 34957021416751103448947409, 'val': 1}
  • id: 104822
    {'lmfdb_iso': '3192.e', 'p': 31, 'prec': 20, 'unit': 5718092008647753595378178109, 'val': 1}
  • id: 104808
    {'lmfdb_iso': '3192.e', 'p': 37, 'prec': 20, 'unit': 3829860840710520108104884187, 'val': 1}
  • id: 104810
    {'lmfdb_iso': '3192.e', 'p': 41, 'prec': 20, 'unit': 3945023614838101207427078229639, 'val': 1}
  • id: 104811
    {'lmfdb_iso': '3192.e', 'p': 43, 'prec': 20, 'unit': 4153394736593859236039665175650, 'val': 1}
  • id: 104820
    {'lmfdb_iso': '3192.e', 'p': 47, 'prec': 20, 'unit': 20969116483906164624428268774092, 'val': 1}
  • id: 104816
    {'lmfdb_iso': '3192.e', 'p': 53, 'prec': 20, 'unit': 549526359592951081144290369325362, 'val': 1}
  • id: 104814
    {'lmfdb_iso': '3192.e', 'p': 59, 'prec': 20, 'unit': 2627496777007947093355277384115314, 'val': 1}
  • id: 104821
    {'lmfdb_iso': '3192.e', 'p': 61, 'prec': 20, 'unit': 434040870563652408667279292855916, 'val': 1}
  • id: 104807
    {'lmfdb_iso': '3192.e', 'p': 67, 'prec': 20, 'unit': 43442803703528299282760477020549827, 'val': 1}
  • id: 104809
    {'lmfdb_iso': '3192.e', 'p': 71, 'prec': 20, 'unit': 1666846139581328255782273926531691, 'val': 2}
  • id: 104817
    {'lmfdb_iso': '3192.e', 'p': 73, 'prec': 20, 'unit': 183475565181059776637140060477617926, 'val': 1}
  • id: 104813
    {'lmfdb_iso': '3192.e', 'p': 79, 'prec': 20, 'unit': 580348888501420215769634992559139572, 'val': 1}
  • id: 104815
    {'lmfdb_iso': '3192.e', 'p': 83, 'prec': 20, 'unit': 2680620100059892834340795142492064036, 'val': 1}
  • id: 104819
    {'lmfdb_iso': '3192.e', 'p': 89, 'prec': 20, 'unit': 4808360675908501105078725314914926515, 'val': 1}
  • id: 104806
    {'lmfdb_iso': '3192.e', 'p': 97, 'prec': 20, 'unit': 22352078150037352006457984429185028329, '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: 19087
    {'Ciso': '3192k', 'Clabel': '3192k1', 'Cnumber': 1, 'abc_quality': 0.8482577722593015, 'absD': 19152, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1596, 'ainvs': [0, -1, 0, -43, 124], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3192, 'degree': 256, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29375989198950636300388513625', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [562432000, 1197], 'lmfdb_iso': '3192.e', 'lmfdb_label': '3192.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -43, 124], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '266.6.0.?', '1596.12.0.?'], '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': '0.73347256011500391704964861859', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 133], [3, 4, 1064], [7, 8, 456], [19, 20, 168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52480895217615479947629584340', 'prec': 107}, 'szpiro_ratio': 2.840756669663066, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 19088
    {'Ciso': '3192k', 'Clabel': '3192k2', 'Cnumber': 2, 'abc_quality': 0.8262778507225943, 'absD': 13585152, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1596, 'ainvs': [0, -1, 0, -28, 196], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3192, 'degree': 512, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.052813698290466291704730924480', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [-9826000, 53067], 'lmfdb_iso': '3192.e', 'lmfdb_label': '3192.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28, 196], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '532.6.0.?', '1596.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.36673628005750195852482430929', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 1064], [7, 8, 456], [19, 20, 168]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40928442208283058124009048983', 'prec': 107}, 'szpiro_ratio': 2.972211581717495, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}