Elliptic curve isogeny class data - 48510.o

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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, -1, 0, 1, -1, 0, 0, -1, 0, 1, 1, 0, -2, 0, 0, 1, -3, 0, 1, -1], 'aplist': [-1, 0, -1, 0, 1, -2, -3, 1, -6, 9, -5, 5, -6, 8, 6, -9, 6, -5, 8, 9, 10, 14, -6, -15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 48510, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '48510.o', 'trace_hash': 1958326578426592463}
• lmfdb_iso 48510.o 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: 322394
    {'Ciso': '48510z', 'Clabel': '48510z1', 'Cnumber': 1, 'abc_quality': 0.93814512349847, 'absD': 37737093240, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -450, 10156], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 48510, 'degree': 45360, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71515574826572706340301926799', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [-117649, 440], 'lmfdb_iso': '48510.o', 'lmfdb_label': '48510.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 1], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '440.2.0.?', '1320.8.0.?', '9240.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 24255], [3, 2, 2695], [5, 6, 9702], [7, 26, 990], [11, 12, 4410]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80710547059598443484727972219', 'prec': 107}, 'szpiro_ratio': 2.9614371787824267, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 322395
    {'Ciso': '48510z', 'Clabel': '48510z2', 'Cnumber': 2, 'abc_quality': 0.922044169862911, 'absD': 28538676762750, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 9240, 'ainvs': [1, -1, 0, 3960, -239450], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 48510, 'degree': 136080, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2644618925997819091006418864', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [80062991, 332750], 'lmfdb_iso': '48510.o', 'lmfdb_label': '48510.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9, -25], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '440.2.0.?', '1320.8.0.?', '9240.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 24255], [3, 6, 98], [5, 6, 9702], [7, 26, 990], [11, 12, 4410]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25779932626192958914965710378', 'prec': 107}, 'szpiro_ratio': 3.5485397794972147, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}