Elliptic curve isogeny class data - 68450.o

Formats: - HTML - YAML - JSON - 2025-10-10T05:46:47.299558

• 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, 0, 0, 2, -1, -3, 0, 4, 0, 2, -2, 0, 1, 6, 3, -2, 0], 'aplist': [-1, 0, 0, 2, 4, 2, 6, -2, -8, -2, 8, 0, 2, -4, -6, -12, -2, 14, 16, -12, 6, 0, 12, 4, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 68450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '68450.o', 'trace_hash': 112559728539475593}
• lmfdb_iso 68450.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
  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: 452732
    {'Ciso': '68450m', 'Clabel': '68450m1', 'Cnumber': 1, 'abc_quality': 1.0509647922951675, 'absD': 25383152303725976562500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1480, 'ainvs': [1, -1, 0, -81598817, 283626348841], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 68450, 'degree': 8951040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2600305547296081253219928722', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [29589645357, 12500], 'lmfdb_iso': '68450.o', 'lmfdb_label': '68450.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2384, 45388], 'min_quad_twist_disc': 185, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.e.1', '296.6.0.?', '370.6.0.?', '1480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 925], [5, 14, 2738], [37, 398, 50]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25287683597061039525445854769', 'prec': 107}, 'szpiro_ratio': 5.951717191136046, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 452733
    {'Ciso': '68450m', 'Clabel': '68450m2', 'Cnumber': 2, 'abc_quality': 1.073091075859594, 'absD': 39661175474571838378906250, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1480, 'ainvs': [1, -1, 0, -68935567, 374637126591], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 68450, 'degree': 17902080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6066041450095807800306089330', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [-17840960397, 19531250], 'lmfdb_iso': '68450.o', 'lmfdb_label': '68450.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2014, 59670], 'min_quad_twist_disc': 185, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.e.1', '296.6.0.?', '740.6.0.?', '1480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 925], [5, 14, 2738], [37, 398, 50]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.093696754309362259454157513114', 'prec': 107}, 'szpiro_ratio': 6.001647947253906, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}