Elliptic curve isogeny class data - 11.a

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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, -2, -1, 2, 1, 2, -2, 0, -2, -2, 1, -2, 4, 4, -1, -4, -2, 4, 0, 2], 'aplist': [-2, -1, 1, -2, 1, 4, -2, 0, -1, 0, 7, 3, -8, -6, 8, -6, 5, 12, -7, -3, 4, -10, -6, 15, -7], 'class_deg': 25, 'class_size': 3, 'conductor': 11, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '11.a', 'trace_hash': 1428752966040989219}
• lmfdb_iso 11.a 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1
    {'Ciso': '11a', 'Clabel': '11a2', 'Cnumber': 2, 'abc_quality': 1.0929566831983986, 'absD': 11, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, -7820, -263580], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 5, 'elladic_images': ['25.120.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540515', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 25, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-52893159101157376, 11], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -7820, -263580], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '22.2.0.a.1', '25.120.0-25.a.2.2', '110.48.1.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49670911509864712261136540515', 'prec': 103}, 'szpiro_ratio': 16.058687318281603, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 0
    {'Ciso': '11a', 'Clabel': '11a1', 'Cnumber': 1, 'abc_quality': 1.012998630378065, 'absD': 161051, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, -10, -20], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 1, 'elladic_images': ['5.120.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426146', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-122023936, 161051], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -10, -20], 'min_quad_twist_disc': 1, 'modell_images': ['5Cs.1.1'], 'modm_images': ['5.120.0-5.a.1.2', '22.2.0.a.1', '110.240.5.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426146', 'prec': 107}, 'szpiro_ratio': 8.26048375415454, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
  • id: 2
    {'Ciso': '11a', 'Clabel': '11a3', 'Cnumber': 3, 'abc_quality': 0.8254556483942886, 'absD': 11, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 550, 'ainvs': [0, -1, 1, 0, 0], 'analytic_rank': 0, 'bad_primes': [11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 11, 'degree': 5, 'elladic_images': ['25.120.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '11.a', 'lmfdb_label': '11.a3', 'lmfdb_number': 3, 'manin_constant': 5, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '22.2.0.a.1', '25.120.0-25.a.1.2', '110.48.1.?', '275.600.12.?', '550.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 1, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 4.190241815676422, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}