Elliptic curve isogeny class data - 26.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, -1, 1, 1, -3, -1, -1, -1, -2, 3, 6, 1, 1, 1, -3, 1, -3, 2, 2, -3], 'aplist': [-1, 1, -3, -1, 6, 1, -3, 2, 0, 6, -4, -7, 0, -1, 3, 0, -6, 8, 14, -3, 2, 8, 12, -6, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 26, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '26.a', 'trace_hash': 2069639601307544454}
• lmfdb_iso 26.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
  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: 41
    {'Ciso': '26a', 'Clabel': '26a2', 'Cnumber': 2, 'abc_quality': 1.0219339430875438, 'absD': 6656, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 936, 'ainvs': [1, 0, 1, -460, -3830], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 26, 'degree': 6, 'elladic_images': ['9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.054386426133376655773210510687', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-10730978619193, 6656], 'lmfdb_iso': '26.a', 'lmfdb_label': '26.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -460, -3830], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '104.2.0.?', '117.72.0.?', '312.16.0.?', '936.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 2, 13], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.054386426133376655773210510687', 'prec': 107}, 'szpiro_ratio': 9.209106174142823, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 40
    {'Ciso': '26a', 'Clabel': '26a1', 'Cnumber': 1, 'abc_quality': 0.947172997962475, 'absD': 17576, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 936, 'ainvs': [1, 0, 1, -5, -8], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 26, 'degree': 2, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.49491971820067818992441210777', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-10218313, 17576], 'lmfdb_iso': '26.a', 'lmfdb_label': '26.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5, -8], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '104.2.0.?', '117.72.0.?', '312.48.1.?', '936.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 2, 1], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49491971820067818992441210777', 'prec': 107}, 'szpiro_ratio': 5.377073159063485, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 42
    {'Ciso': '26a', 'Clabel': '26a3', 'Cnumber': 3, 'abc_quality': 0.8441470072585473, 'absD': 26, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 936, 'ainvs': [1, 0, 1, 0, 0], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 26, 'degree': 6, 'elladic_images': ['9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-1.0442258625347330356220347262', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [12167, 26], 'lmfdb_iso': '26.a', 'lmfdb_label': '26.a3', 'lmfdb_number': 3, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, 0, 0], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '104.2.0.?', '117.72.0.?', '312.16.0.?', '936.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0442258625347330356220347262', 'prec': 103}, 'szpiro_ratio': 3.191125229470748, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}