Elliptic curve isogeny class data - 80080.s

Formats: - HTML - YAML - JSON - 2025-10-31T20:24:41.086483

• 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, 0, 0, -1, 0, 1, 0, -3, 0, -1, 0, 1, 0, 0, 0, 4, 0, 0, 0], 'aplist': [0, 0, -1, 1, -1, 1, 4, 0, 0, 0, 8, 4, 10, 0, 4, -6, 2, -6, 4, 2, 14, -10, 12, 12, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 80080, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '80080.s', 'trace_hash': 709601169292322438}
• lmfdb_iso 80080.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: 528243
    {'Ciso': '80080ba', 'Clabel': '80080ba2', 'Cnumber': 2, 'abc_quality': 0.9727956712011341, 'absD': 25763388149058560000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8008, 'ainvs': [0, 0, 0, -2724203, -1713325798], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 80080, 'degree': 1658880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5374258867272735910625939385', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [545861123494712462529, 6289889684828750], 'lmfdb_iso': '80080.s', 'lmfdb_label': '80080.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -170263, 26813281], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.a.1', '572.6.0.?', '8008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 2, 7280], [5, 6, 2288], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8442787061673282816453618170', 'prec': 100}, 'szpiro_ratio': 4.965702582990798, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 528242
    {'Ciso': '80080ba', 'Clabel': '80080ba1', 'Cnumber': 1, 'abc_quality': 1.026004291297601, 'absD': 2001989318019891200, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8008, 'ainvs': [0, 0, 0, -35083, -68122182], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 80080, 'degree': 829440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1908522964473009363539778778', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [-1165880220753249, 488766923344700], 'lmfdb_iso': '80080.s', 'lmfdb_label': '80080.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2193, 1064957], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '286.6.0.?', '8008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 143], [3, 2, 7280], [5, 6, 2288], [7, 8, 11440], [11, 12, 7280], [13, 14, 6160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4977051158873556269367457563', 'prec': 100}, 'szpiro_ratio': 4.392678470071832, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}