Elliptic curve isogeny class data - 103968.bz

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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, 0, 0, 0, 2, 0, -4, 0, 0, 0, -4, 0, -2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 2, -4, -4, -2, -2, 0, 4, -6, 0, -2, -6, -12, 4, 2, -12, -10, 4, 0, 10, 8, 12, -14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 103968, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '103968.bz', 'trace_hash': 854334738216620475}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 5413453
    {'lmfdb_iso': '103968.bz', 'p': 5, 'prec': 20, 'unit': 9667501250976, 'val': 2}
  • id: 5413454
    {'lmfdb_iso': '103968.bz', 'p': 7, 'prec': 20, 'unit': 5100638761859814, 'val': 2}
  • id: 5413452
    {'lmfdb_iso': '103968.bz', 'p': 11, 'prec': 20, 'unit': 49200909500480566786, 'val': 2}
  • id: 5413458
    {'lmfdb_iso': '103968.bz', 'p': 13, 'prec': 20, 'unit': 953001479080853060958, 'val': 2}
  • id: 5413460
    {'lmfdb_iso': '103968.bz', 'p': 17, 'prec': 20, 'unit': 205378345664736408531187, 'val': 2}
  • id: 5413465
    {'lmfdb_iso': '103968.bz', 'p': 23, 'prec': 20, 'unit': 2326469741776946047327118, 'val': 3}
  • id: 5413457
    {'lmfdb_iso': '103968.bz', 'p': 29, 'prec': 20, 'unit': 1828918311526818061555688692, 'val': 2}
  • id: 5413469
    {'lmfdb_iso': '103968.bz', 'p': 37, 'prec': 20, 'unit': 499064772514438913331159837570, 'val': 2}
  • id: 5413455
    {'lmfdb_iso': '103968.bz', 'p': 41, 'prec': 20, 'unit': 789055464643143969615201341355, 'val': 2}
  • id: 5413456
    {'lmfdb_iso': '103968.bz', 'p': 43, 'prec': 20, 'unit': 106428755446747460093944625057, 'val': 2}
  • id: 5413467
    {'lmfdb_iso': '103968.bz', 'p': 47, 'prec': 20, 'unit': 57607311645862230754228982889772, 'val': 2}
  • id: 5413462
    {'lmfdb_iso': '103968.bz', 'p': 53, 'prec': 20, 'unit': 478183327246822597737241240939259, 'val': 2}
  • id: 5413463
    {'lmfdb_iso': '103968.bz', 'p': 59, 'prec': 20, 'unit': 113272190253881379264329618320388, 'val': 2}
  • id: 5413468
    {'lmfdb_iso': '103968.bz', 'p': 61, 'prec': 20, 'unit': 4527345053563161281231028570645172, 'val': 2}
  • id: 5413461
    {'lmfdb_iso': '103968.bz', 'p': 67, 'prec': 20, 'unit': 3243682579208498441877838677544532, 'val': 2}
  • id: 5413464
    {'lmfdb_iso': '103968.bz', 'p': 73, 'prec': 20, 'unit': 102232153624034797123335862654683635, 'val': 2}
  • id: 5413459
    {'lmfdb_iso': '103968.bz', 'p': 79, 'prec': 20, 'unit': 410738812448967069361090722295667395, 'val': 2}
  • id: 5413451
    {'lmfdb_iso': '103968.bz', 'p': 83, 'prec': 20, 'unit': 623892636238366961592411972036253625, 'val': 2}
  • id: 5413466
    {'lmfdb_iso': '103968.bz', 'p': 89, 'prec': 20, 'unit': 6436947154716776071188639355037056562, 'val': 2}
  • id: 5413450
    {'lmfdb_iso': '103968.bz', 'p': 97, 'prec': 20, 'unit': 38294117256878505878148950969337247512, 'val': 2}
• 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: 682836
    {'Ciso': '103968ca', 'Clabel': '103968ca4', 'Cnumber': 4, 'abc_quality': 0.9835305767683096, 'absD': 3002722549544448, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, -5927259, -5554294738], 'analytic_rank': 2, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 103968, 'degree': 2211840, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3851159951748755408061969216', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4], 'jinv': [1311494070536, 171], 'lmfdb_iso': '103968.bz', 'lmfdb_label': '103968.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1824, 30600], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.2', '24.24.0-8.m.1.1', '152.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '29.294931755121794739613614706', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3249], [3, 8, 11552], [19, 200, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15627002416235851695886350390', 'prec': 107}, 'szpiro_ratio': 5.055370247620867, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 682835
    {'Ciso': '103968ca', 'Clabel': '103968ca3', 'Cnumber': 3, 'abc_quality': 0.9683473674013149, 'absD': 17511877908943220736, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, -680124, 77918240], 'analytic_rank': 2, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 103968, 'degree': 2211840, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3851159951748755408061969216', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4], 'jinv': [247673152, 124659], 'lmfdb_iso': '103968.bz', 'lmfdb_label': '103968.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -209, -351], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.1', '24.24.0-8.m.1.3', '76.12.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '7.3237329387804486849034036765', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3249], [3, 8, 11552], [19, 200, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32955681930234484431317153427', 'prec': 107}, 'szpiro_ratio': 4.493111165776568, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 682833
    {'Ciso': '103968ca', 'Clabel': '103968ca1', 'Cnumber': 1, 'abc_quality': 1.1884890277128586, 'absD': 64183194496512576, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, -371469, -86286220], 'analytic_rank': 2, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 103968, 'degree': 1105920, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0385424048949028860975808608', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [2582630848, 29241], 'lmfdb_iso': '103968.bz', 'lmfdb_label': '103968.bz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -114, 504], 'min_quad_twist_disc': -228, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0-2.a.1.1', '24.24.0-8.b.1.3', '76.12.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '29.294931755121794739613614706', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3249], [3, 8, 11552], [19, 200, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32955681930234484431317153433', 'prec': 107}, 'szpiro_ratio': 4.336042733113544, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 682834
    {'Ciso': '103968ca', 'Clabel': '103968ca2', 'Cnumber': 2, 'abc_quality': 1.034713906926563, 'absD': 20595673967325368832, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 0, 0, -79059, -218514022], 'analytic_rank': 2, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 103968, 'degree': 2211840, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3851159951748755408061969216', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3112136, 1172889], 'lmfdb_iso': '103968.bz', 'lmfdb_label': '103968.bz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, 1188], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '24.24.0-8.d.1.3', '152.24.0.?', '228.12.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '29.294931755121794739613614706', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3249], [3, 8, 11552], [19, 200, 288]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15627002416235851695886350390', 'prec': 107}, 'szpiro_ratio': 4.495203711765108, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}