Elliptic curve isogeny class data - 44.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, -3, 0, 2, 0, -2, 0, -1, 0, -4, 0, -3, 0, 6, 0, 8, 0], 'aplist': [0, 1, -3, 2, -1, -4, 6, 8, -3, 0, 5, -1, 0, -10, 0, -6, 3, -4, -1, 15, -4, 2, 6, -9, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 44, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '44.a', 'trace_hash': 685433102328794143}
• lmfdb_iso 44.a 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: 101
    {'Ciso': '44a', 'Clabel': '44a2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 340736, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 66, 'ainvs': [0, 1, 0, -77, -289], 'analytic_rank': 0, 'bad_primes': [2, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 44, 'degree': 6, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10298768145811296210585672847', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '44.a', 'lmfdb_label': '44.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '22.2.0.a.1', '66.16.0-66.a.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11], [3, 2, 4], [11, 12, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56508580183140983505067814278', 'prec': 107}, 'szpiro_ratio': 6.519077152749634, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 100
    {'Ciso': '44a', 'Clabel': '44a1', 'Cnumber': 1, 'abc_quality': 0.8429409118491958, 'absD': 2816, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 66, 'ainvs': [0, 1, 0, 3, -1], 'analytic_rank': 0, 'bad_primes': [2, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 44, 'degree': 2, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.65229382579216780780347934693', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [8192, 11], 'lmfdb_iso': '44.a', 'lmfdb_label': '44.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 3, -1], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '22.2.0.a.1', '66.16.0-66.a.1.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11], [11, 12, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1143919461654646807483007612', 'prec': 103}, 'szpiro_ratio': 3.919983055236793, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}