Elliptic curve isogeny class data - 9768.l

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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, -2, 0, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, 0, 0, -2, 0], 'aplist': [0, 1, -2, 0, -1, 0, 0, -2, 4, 0, -4, 1, 2, 10, 0, 10, -4, 8, 4, 0, 2, -14, -12, -10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 9768, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9768.l', 'trace_hash': 685760852731717434}
• ec_padic •

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

  
  
  • id: 409771
    {'lmfdb_iso': '9768.l', 'p': 5, 'prec': 20, 'unit': 3914938196177, 'val': 1}
  • id: 409768
    {'lmfdb_iso': '9768.l', 'p': 19, 'prec': 20, 'unit': 1485023469187797906476751, 'val': 1}
  • id: 409778
    {'lmfdb_iso': '9768.l', 'p': 23, 'prec': 20, 'unit': 37439569971088316121796196, 'val': 1}
  • id: 409782
    {'lmfdb_iso': '9768.l', 'p': 31, 'prec': 20, 'unit': 1091392095026423326519828576, 'val': 1}
  • id: 409772
    {'lmfdb_iso': '9768.l', 'p': 41, 'prec': 20, 'unit': 146171457344487590736962592181, 'val': 1}
  • id: 409773
    {'lmfdb_iso': '9768.l', 'p': 43, 'prec': 20, 'unit': 4409616102307646434263328444292, 'val': 1}
  • id: 409776
    {'lmfdb_iso': '9768.l', 'p': 53, 'prec': 20, 'unit': 236780682057248208004859075440055, 'val': 1}
  • id: 409780
    {'lmfdb_iso': '9768.l', 'p': 59, 'prec': 20, 'unit': 1194824837974114270953333432027919, 'val': 1}
  • id: 409781
    {'lmfdb_iso': '9768.l', 'p': 61, 'prec': 20, 'unit': 5759480089504357153491280480683587, 'val': 1}
  • id: 409770
    {'lmfdb_iso': '9768.l', 'p': 67, 'prec': 20, 'unit': 18708649301785222455928523545839138, 'val': 1}
  • id: 409777
    {'lmfdb_iso': '9768.l', 'p': 73, 'prec': 20, 'unit': 87574954615033100829887164337741023, 'val': 1}
  • id: 409774
    {'lmfdb_iso': '9768.l', 'p': 79, 'prec': 20, 'unit': 723689368607977834644116443323543106, 'val': 1}
  • id: 409775
    {'lmfdb_iso': '9768.l', 'p': 83, 'prec': 20, 'unit': 2134693999037702257305426173237352308, 'val': 1}
  • id: 409779
    {'lmfdb_iso': '9768.l', 'p': 89, 'prec': 20, 'unit': 10252231984605231848638949351733158202, 'val': 1}
  • id: 409769
    {'lmfdb_iso': '9768.l', 'p': 97, 'prec': 20, 'unit': 7757294334228661288226378152002875026, '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: 63063
    {'Ciso': '9768j', 'Clabel': '9768j2', 'Cnumber': 2, 'abc_quality': 0.805123316866299, 'absD': 92835072, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1628, 'ainvs': [0, 1, 0, -164, -720], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9768, 'degree': 2048, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24652276304035324162175712042', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [1917170512, 362637], 'lmfdb_iso': '9768.l', 'lmfdb_label': '9768.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -164, -720], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '44.6.0.c.1', '74.6.0.?', '1628.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85231932801943403653525308143', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 37], [3, 4, 3256], [11, 12, 888], [37, 38, 264]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21557535733294363132306429389', 'prec': 107}, 'szpiro_ratio': 2.930193029090122, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 63062
    {'Ciso': '9768j', 'Clabel': '9768j1', 'Cnumber': 1, 'abc_quality': 0.8107697170377198, 'absD': 2168496, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1628, 'ainvs': [0, 1, 0, 21, -54], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9768, 'degree': 1024, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10005082723961941308685894031', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [61011968, 135531], 'lmfdb_iso': '9768.l', 'lmfdb_label': '9768.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 21, -54], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '22.6.0.a.1', '148.6.0.?', '1628.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7046386560388680730705061629', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11], [3, 4, 3256], [11, 12, 888], [37, 38, 264]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33109988742626784955926964746', 'prec': 107}, 'szpiro_ratio': 2.3666896554208403, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}