Elliptic curve isogeny class data - 105.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, 1, 1, 1, -3, 1, 1, 0, -1, -6, 1, 1, -1, 2, 1, -8, -1], 'aplist': [1, 1, 1, 1, 0, -6, 2, -8, 8, -2, 4, -2, -6, 4, 8, 10, 4, -2, 4, -12, -2, 8, -4, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 105, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '105.a', 'trace_hash': 734083615354671920}
• lmfdb_iso 105.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: 322
    {'Ciso': '105a', 'Clabel': '105a3', 'Cnumber': 3, 'abc_quality': 0.9608739095359471, 'absD': 13125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 0, 1, -113, -469], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 105, 'degree': 16, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.16596215942722327777504935682', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [157551496201, 13125], 'lmfdb_iso': '105.a', 'lmfdb_label': '105.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -113, -469], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.ba.1.12', '42.6.0.a.1', '84.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 21], [3, 4, 35], [5, 6, 21], [7, 8, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16596215942722327777504935682', 'prec': 107}, 'szpiro_ratio': 5.5400167302469585, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 321
    {'Ciso': '105a', 'Clabel': '105a2', 'Cnumber': 2, 'abc_quality': 1.0475132011931991, 'absD': 11025, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 420, 'ainvs': [1, 0, 1, -8, -7], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 105, 'degree': 8, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.51253574970719593248366541755', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [47045881, 11025], 'lmfdb_iso': '105.a', 'lmfdb_label': '105.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, -7], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '20.24.0-20.a.1.1', '84.24.0.?', '420.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 4, 35], [5, 6, 21], [7, 8, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51253574970719593248366541755', 'prec': 107}, 'szpiro_ratio': 3.796043057049396, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 320
    {'Ciso': '105a', 'Clabel': '105a1', 'Cnumber': 1, 'abc_quality': 0.9665903421508077, 'absD': 105, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 0, 1, -3, 1], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 105, 'degree': 4, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.85910933998716858719228147827', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1771561, 105], 'lmfdb_iso': '105.a', 'lmfdb_label': '105.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3, 1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '20.12.0-4.c.1.2', '40.24.0-40.ba.1.10', '84.12.0.?', '168.24.0.?', '210.6.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 4, 35], [5, 6, 21], [7, 8, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85910933998716858719228147827', 'prec': 107}, 'szpiro_ratio': 3.091425485888218, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 323
    {'Ciso': '105a', 'Clabel': '105a4', 'Cnumber': 4, 'abc_quality': 0.9447753303493565, 'absD': 972405, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 0, 1, 17, -37], 'analytic_rank': 0, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 105, 'degree': 16, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.16596215942722327777504935682', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [590589719, 972405], 'lmfdb_iso': '105.a', 'lmfdb_label': '105.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 17, -37], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '20.24.0-20.h.1.2', '168.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 2, 5], [3, 4, 35], [5, 6, 21], [7, 8, 15]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16596215942722327777504935682', 'prec': 107}, 'szpiro_ratio': 4.471286962247786, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}