Elliptic curve isogeny class data - 1650.s

Formats: - HTML - YAML - JSON - 2025-10-09T07:45:55.790370

• 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, 1, 1, 0, 1, 3, 1, 1, 0, 1, 1, 4, 3, 0, 1, -7, 1, 5, 0], 'aplist': [1, 1, 0, 3, 1, 4, -7, 5, -1, -10, 2, -7, -3, 4, 13, 4, -5, 12, -12, -3, 4, -15, 14, 0, -7], 'class_deg': 5, 'class_size': 2, 'conductor': 1650, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '1650.s', 'trace_hash': 868139747896917355}
• lmfdb_iso 1650.s 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: 9073
    {'Ciso': '1650s', 'Clabel': '1650s1', 'Cnumber': 1, 'abc_quality': 0.984289652162716, 'absD': 68428800, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 660, 'ainvs': [1, 0, 0, -903, 10377], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 1650, 'degree': 1200, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43117138875048198713340743200', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 5], 'jinv': [-3257444411545, 2737152], 'lmfdb_iso': '1650.s', 'lmfdb_label': '1650.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -903, 10377], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '132.2.0.?', '660.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 825], [3, 4, 550], [5, 10, 11], [11, 12, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16293173667813192469994754313', 'prec': 103}, 'szpiro_ratio': 4.323703676496245, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
  • id: 9074
    {'Ciso': '1650s', 'Clabel': '1650s2', 'Cnumber': 2, 'abc_quality': 0.9936024056521444, 'absD': 18873164062500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 660, 'ainvs': [1, 0, 0, 6237, -87483], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 1650, 'degree': 6000, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2358903449675321744337870986', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 18, 'isogeny_degrees': [1, 5], 'jinv': [2747555975, 1932612], 'lmfdb_iso': '1650.s', 'lmfdb_label': '1650.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 250, -600], 'min_quad_twist_disc': 5, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '132.2.0.?', '660.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 825], [3, 4, 550], [5, 2, 6], [11, 12, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10530791539421813773351234576', 'prec': 107}, 'szpiro_ratio': 5.106053946848755, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}