Elliptic curve isogeny class data - 9680.x

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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, 1, 0, 3, 0, -2, 0, 0, 0, 6, 0, 1, 0, 7, 0, 5, 0], 'aplist': [0, 1, 1, 3, 0, 6, 7, 5, 6, -5, 3, 3, -2, 4, 2, -1, 10, -7, -8, -7, -14, 10, -6, -15, -12], 'class_deg': 5, 'class_size': 2, 'conductor': 9680, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '9680.x', 'trace_hash': 991823563640127883}
• lmfdb_iso 9680.x 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 62508
    {'Ciso': '9680y', 'Clabel': '9680y2', 'Cnumber': 2, 'abc_quality': 1.0129363433875729, 'absD': 11686366028226560, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 1, 0, -11499880, -15014090060], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 9680, 'degree': 288000, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5371703977219520716364912009', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 5], 'jinv': [-23178622194826561, 1610510], 'lmfdb_iso': '9680.x', 'lmfdb_label': '9680.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5940, -178685], 'min_quad_twist_disc': 44, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '40.24.0-5.a.2.6', '220.24.0.?', '440.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 605], [5, 6, 1936], [11, 72, 80]], 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64507558076282149018828729046', 'prec': 103}, 'szpiro_ratio': 6.579684856334829, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 62507
    {'Ciso': '9680y', 'Clabel': '9680y1', 'Cnumber': 1, 'abc_quality': 0.9443840180226643, 'absD': 7981945241600000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 1, 0, 19320, -4165900], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 9680, 'degree': 57600, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7324514415049018843361115343', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 5], 'jinv': [109902239, 1100000], 'lmfdb_iso': '9680.x', 'lmfdb_label': '9680.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -45], 'min_quad_twist_disc': 44, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '40.24.0-5.a.1.6', '220.24.0.?', '440.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 605], [5, 6, 1936], [11, 72, 80]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15964337545422869711209237614', 'prec': 107}, 'szpiro_ratio': 4.795379970266374, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}