Elliptic curve isogeny class data - 6525.b

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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, 0, 2, 0, 0, 2, 0, 0, 0, 3, 0, -4, -4, 0, -4, 8, 0, 0, 0], 'aplist': [-2, 0, 0, 2, 3, -4, 8, 0, -1, -1, -8, 7, -7, -9, -12, 9, -10, 2, -8, 8, 1, -10, 9, -10, -13], 'class_deg': 5, 'class_size': 2, 'conductor': 6525, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '6525.b', 'trace_hash': 499795411463661964}
• ec_padic •

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

  
  
  • id: 259075
    {'lmfdb_iso': '6525.b', 'p': 7, 'prec': 20, 'unit': 6858403733976566, 'val': 1}
  • id: 259073
    {'lmfdb_iso': '6525.b', 'p': 11, 'prec': 20, 'unit': 14697590369960462143, 'val': 1}
  • id: 259078
    {'lmfdb_iso': '6525.b', 'p': 13, 'prec': 20, 'unit': 1079997792691071104819, 'val': 1}
  • id: 259080
    {'lmfdb_iso': '6525.b', 'p': 17, 'prec': 20, 'unit': 205896685878084262244834, 'val': 1}
  • id: 259085
    {'lmfdb_iso': '6525.b', 'p': 23, 'prec': 20, 'unit': 10728276691854043968530297, 'val': 1}
  • id: 259090
    {'lmfdb_iso': '6525.b', 'p': 31, 'prec': 20, 'unit': 16684805707150454435696054546, 'val': 1}
  • id: 259074
    {'lmfdb_iso': '6525.b', 'p': 37, 'prec': 20, 'unit': 483072556411454640633750597530, 'val': 1}
  • id: 259076
    {'lmfdb_iso': '6525.b', 'p': 41, 'prec': 20, 'unit': 1930154054544623790488550860007, 'val': 1}
  • id: 259077
    {'lmfdb_iso': '6525.b', 'p': 43, 'prec': 20, 'unit': 10115442318440648837941510053840, 'val': 1}
  • id: 259088
    {'lmfdb_iso': '6525.b', 'p': 47, 'prec': 20, 'unit': 24694670673846346140571733200915, 'val': 1}
  • id: 259082
    {'lmfdb_iso': '6525.b', 'p': 53, 'prec': 20, 'unit': 332651937290840491650454752998136, 'val': 1}
  • id: 259083
    {'lmfdb_iso': '6525.b', 'p': 59, 'prec': 20, 'unit': 648640408209687453286830007405714, 'val': 1}
  • id: 259089
    {'lmfdb_iso': '6525.b', 'p': 61, 'prec': 20, 'unit': 672586165136368865150691192166507, 'val': 1}
  • id: 259072
    {'lmfdb_iso': '6525.b', 'p': 67, 'prec': 20, 'unit': 2064115464422737508955298181572094, 'val': 1}
  • id: 259087
    {'lmfdb_iso': '6525.b', 'p': 71, 'prec': 20, 'unit': 95244378411990910578917021532829228, 'val': 1}
  • id: 259084
    {'lmfdb_iso': '6525.b', 'p': 73, 'prec': 20, 'unit': 10639295145533560537962305394139500530, 'val': -1}
  • id: 259079
    {'lmfdb_iso': '6525.b', 'p': 79, 'prec': 20, 'unit': 80100227503611250513310191361906899, 'val': 1}
  • id: 259081
    {'lmfdb_iso': '6525.b', 'p': 83, 'prec': 20, 'unit': 2724858662055077912298168982191699597, 'val': 1}
  • id: 259086
    {'lmfdb_iso': '6525.b', 'p': 89, 'prec': 20, 'unit': 1663209728177941957516183591973092435, 'val': 1}
  • id: 259071
    {'lmfdb_iso': '6525.b', 'p': 97, 'prec': 20, 'unit': 50154238939495960808090567617472006773, 'val': 1}
• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 41458
    {'Ciso': '6525m', 'Clabel': '6525m1', 'Cnumber': 1, 'abc_quality': 1.198475926679224, 'absD': 123873046875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 870, 'ainvs': [0, 0, 1, -157125, 23972656], 'analytic_rank': 1, 'bad_primes': [3, 5, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 6525, 'degree': 36480, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4953251126029925484761924497', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [-301302001664, 87], 'lmfdb_iso': '6525.b', 'lmfdb_label': '6525.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -698, -7336], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '15.24.0-5.a.2.2', '290.24.0.?', '870.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.34894416087435350034651064768', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 8, 725], [5, 14, 261], [29, 30, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26105946605663757817199966868', 'prec': 107}, 'szpiro_ratio': 5.408841080770135, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 41459
    {'Ciso': '6525m', 'Clabel': '6525m2', 'Cnumber': 2, 'abc_quality': 1.015700664847297, 'absD': 7096657249810546875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 870, 'ainvs': [0, 0, 1, 259125, 117685156], 'analytic_rank': 1, 'bad_primes': [3, 5, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 6525, 'degree': 182400, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3000440688200427357765721163', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 5], 'jinv': [1351431663616, 4984209207], 'lmfdb_iso': '6525.b', 'lmfdb_label': '6525.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 1152, -34486], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '15.24.0-5.a.1.2', '290.24.0.?', '870.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7447208043717675017325532384', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 725], [5, 14, 9], [29, 30, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54365949016041260912837999792', 'prec': 103}, 'szpiro_ratio': 5.771138076424046, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}