Elliptic curve isogeny class data - 14784.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, -1, 0, -4, 0, -1, 0, 1, 0, 1, 0, -6, 0, 4, 0, 0, 0, -2, 0], 'aplist': [0, -1, -4, -1, 1, -6, 0, -2, -4, 2, 2, -2, 0, -4, -6, -2, 0, -14, -12, -8, -4, -8, 2, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 14784, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14784.a', 'trace_hash': 825685507686561334}
• ec_padic •

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

  
  
  • id: 660802
    {'lmfdb_iso': '14784.a', 'p': 5, 'prec': 20, 'unit': 130789132453, 'val': 1}
  • id: 660808
    {'lmfdb_iso': '14784.a', 'p': 13, 'prec': 20, 'unit': 1457540753470783563444, 'val': 2}
  • id: 660810
    {'lmfdb_iso': '14784.a', 'p': 19, 'prec': 20, 'unit': 1966946173610232843052468, 'val': 2}
  • id: 660812
    {'lmfdb_iso': '14784.a', 'p': 23, 'prec': 20, 'unit': 12350205887274235077457344, 'val': 2}
  • id: 660807
    {'lmfdb_iso': '14784.a', 'p': 29, 'prec': 20, 'unit': 4621431933848805000431413677, 'val': 2}
  • id: 660804
    {'lmfdb_iso': '14784.a', 'p': 31, 'prec': 20, 'unit': 11131800385200389550317331875, 'val': 2}
  • id: 660816
    {'lmfdb_iso': '14784.a', 'p': 37, 'prec': 20, 'unit': 68097177037012909360757751869, 'val': 2}
  • id: 660806
    {'lmfdb_iso': '14784.a', 'p': 43, 'prec': 20, 'unit': 1725239519352858809382401203327, 'val': 2}
  • id: 660809
    {'lmfdb_iso': '14784.a', 'p': 47, 'prec': 20, 'unit': 29431654601920131005177617104910, 'val': 2}
  • id: 660811
    {'lmfdb_iso': '14784.a', 'p': 53, 'prec': 20, 'unit': 229410349013553056349316629837973, 'val': 2}
  • id: 660815
    {'lmfdb_iso': '14784.a', 'p': 61, 'prec': 20, 'unit': 6360324762789520417711349288044599, 'val': 2}
  • id: 660801
    {'lmfdb_iso': '14784.a', 'p': 67, 'prec': 20, 'unit': 35705575017869142515450235574323708, 'val': 2}
  • id: 660803
    {'lmfdb_iso': '14784.a', 'p': 71, 'prec': 20, 'unit': 112459479618240297204572289722132153, 'val': 2}
  • id: 660805
    {'lmfdb_iso': '14784.a', 'p': 73, 'prec': 20, 'unit': 174491788648431131972571281818338734, 'val': 2}
  • id: 660814
    {'lmfdb_iso': '14784.a', 'p': 79, 'prec': 20, 'unit': 324272792722121952366552790949955861, 'val': 2}
  • id: 660800
    {'lmfdb_iso': '14784.a', 'p': 83, 'prec': 20, 'unit': 1096828250926686834934634707278422959, 'val': 2}
  • id: 660813
    {'lmfdb_iso': '14784.a', 'p': 89, 'prec': 20, 'unit': 7425182765998886014885760987653414297, 'val': 2}
  • id: 660799
    {'lmfdb_iso': '14784.a', 'p': 97, 'prec': 20, 'unit': 14184965405805427492469340035288394996, 'val': 2}
• 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: 97073
    {'Ciso': '14784m', 'Clabel': '14784m2', 'Cnumber': 2, 'abc_quality': 0.9871420530707399, 'absD': 1430618112, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, -1, 0, -385, 2401], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14784, 'degree': 10240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.46955016899424928258405286321', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [193100552, 43659], 'lmfdb_iso': '14784.a', 'lmfdb_label': '14784.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -96, -252], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 21, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.82572016727739637614056645652', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 11], [3, 4, 4928], [7, 8, 2112], [11, 12, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39688380670568235418748728861', 'prec': 107}, 'szpiro_ratio': 3.0699933214466286, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 97072
    {'Ciso': '14784m', 'Clabel': '14784m1', 'Cnumber': 1, 'abc_quality': 0.8118894454035532, 'absD': 31223808, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, -1, 0, 55, 201], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14784, 'degree': 5120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.12297657871427662787543680248', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [4410944, 7623], 'lmfdb_iso': '14784.a', 'lmfdb_label': '14784.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 14, -32], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 23, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.82572016727739637614056645652', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 7], [3, 4, 4928], [7, 8, 2112], [11, 12, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57017060184566868154179531898', 'prec': 107}, 'szpiro_ratio': 2.5312877685118798, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}