Elliptic curve isogeny class data - 197136.h

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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, -3, 0, 4, 0, 0, 0, -6, 0, 2, 0, 0, 0, -3, 0, -2, 0], 'aplist': [0, 0, -3, 4, -6, 2, -3, -2, 6, -3, -2, 0, -3, 4, -6, 6, 0, -1, -2, -12, -10, -14, 6, -3, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 197136, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '197136.h', 'trace_hash': 897667618083691128}
• lmfdb_iso 197136.h 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
  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: 1265554
    {'Ciso': '197136c', 'Clabel': '197136c1', 'Cnumber': 1, 'abc_quality': 0.9122311702877938, 'absD': 671245276783157968896, 'adelic_genus': 6, 'adelic_index': 288, 'adelic_level': 1332, 'ainvs': [0, 0, 0, -9269499, 10933855274], 'analytic_rank': 1, 'bad_primes': [2, 3, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 197136, 'degree': 12275712, 'elladic_images': ['4.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8262382076753220056489220262', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [-8398297, 64], 'lmfdb_iso': '197136.h', 'lmfdb_label': '197136.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -47, 121], 'min_quad_twist_disc': 444, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '6.8.0-3.a.1.2', '9.12.0.b.1', '12.32.0-12.b.1.1', '18.24.0-9.b.1.2', '36.96.0-36.b.1.2', '333.36.0.?', '666.72.0.?', '1332.288.6.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7343321785225284480117804429', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 12321], [3, 2, 21904], [37, 506, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.82349372564816111237799649441', 'prec': 107}, 'szpiro_ratio': 4.901174937667147, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1265555
    {'Ciso': '197136c', 'Clabel': '197136c2', 'Cnumber': 2, 'abc_quality': 0.9847633793256833, 'absD': 2749420653703815040598016, 'adelic_genus': 6, 'adelic_index': 288, 'adelic_level': 1332, 'ainvs': [0, 0, 0, 27200661, 58162712474], 'analytic_rank': 1, 'bad_primes': [2, 3, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 197136, 'degree': 36827136, 'elladic_images': ['4.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3755443520093768513465446447', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [212207543, 262144], 'lmfdb_iso': '197136.h', 'lmfdb_label': '197136.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 138, 676], 'min_quad_twist_disc': 444, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '6.8.0-3.a.1.1', '9.12.0.b.1', '12.32.0-12.b.2.1', '18.24.0-9.b.1.1', '36.96.0-36.b.2.1', '333.36.0.?', '666.72.0.?', '1332.288.6.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2029965355675853440353413286', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 12321], [3, 2, 21904], [37, 506, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27418758131410626668037387591', 'prec': 107}, 'szpiro_ratio': 5.175359420684631, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}