Elliptic curve isogeny class data - 5200.g

Formats: - HTML - YAML - JSON - 2025-10-12T05:34:21.317839

• 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, -2, 0, 0, 0, -1, 0, 1, 0, -3, 0, -1, 0, 0, 0, -3, 0, 4, 0], 'aplist': [0, -2, 0, -1, -3, -1, -3, 4, -6, -3, 1, -2, 0, -10, -3, -3, 15, -13, -13, 0, 10, 4, 15, 6, 4], 'class_deg': 3, 'class_size': 2, 'conductor': 5200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '5200.g', 'trace_hash': 388968850052884660}
• lmfdb_iso 5200.g 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: 32394
    {'Ciso': '5200r', 'Clabel': '5200r1', 'Cnumber': 1, 'abc_quality': 0.9707406013471742, 'absD': 2080000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 780, 'ainvs': [0, 1, 0, -10208, -406412], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5200, 'degree': 8640, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1607025015147987734072831574', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [-2941225, 52], 'lmfdb_iso': '5200.g', 'lmfdb_label': '5200.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -26, 48], 'min_quad_twist_disc': -20, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '52.2.0.a.1', '60.8.0-3.a.1.2', '156.8.0.?', '390.8.0.?', '780.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 325], [5, 2, 208], [13, 14, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87364293940689684817724840841', 'prec': 107}, 'szpiro_ratio': 4.597320280355907, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 32395
    {'Ciso': '5200r', 'Clabel': '5200r2', 'Cnumber': 2, 'abc_quality': 0.9539000516196926, 'absD': 5624320000000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 780, 'ainvs': [0, 1, 0, 39792, -1906412], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5200, 'degree': 25920, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7100086458488536191049057758', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [174196775, 140608], 'lmfdb_iso': '5200.g', 'lmfdb_label': '5200.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 99, 248], 'min_quad_twist_disc': -20, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '52.2.0.a.1', '60.8.0-3.a.1.1', '156.8.0.?', '390.8.0.?', '780.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 325], [3, 2, 400], [5, 2, 208], [13, 14, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32433679507284200247962579001', 'prec': 107}, 'szpiro_ratio': 5.070797402273555, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}