Elliptic curve isogeny class data - 13248.bj

Formats: - HTML - YAML - JSON - 2025-10-29T15:49:47.360695

• 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, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, 0, 2, 0, 0, 2, -2, -8, -1, -2, 8, -2, -10, 8, 8, 2, 4, -2, 8, 0, -6, -8, 16, -18, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 13248, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '13248.bj', 'trace_hash': 453020480165577698}
• ec_padic •

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

  
  
  • id: 584301
    {'lmfdb_iso': '13248.bj', 'p': 5, 'prec': 20, 'unit': 15648433328981, 'val': 1}
  • id: 584306
    {'lmfdb_iso': '13248.bj', 'p': 13, 'prec': 20, 'unit': 1210050750963480233823, 'val': 1}
  • id: 584308
    {'lmfdb_iso': '13248.bj', 'p': 17, 'prec': 20, 'unit': 29096405570893273181704, 'val': 1}
  • id: 584309
    {'lmfdb_iso': '13248.bj', 'p': 19, 'prec': 20, 'unit': 1585937351192686368228175, 'val': 1}
  • id: 584305
    {'lmfdb_iso': '13248.bj', 'p': 29, 'prec': 20, 'unit': 6014970832994848704202997845, 'val': 1}
  • id: 584302
    {'lmfdb_iso': '13248.bj', 'p': 31, 'prec': 20, 'unit': 4521716116521494931815874712, 'val': 1}
  • id: 584316
    {'lmfdb_iso': '13248.bj', 'p': 37, 'prec': 20, 'unit': 24213544873768986414249981212, 'val': 1}
  • id: 584303
    {'lmfdb_iso': '13248.bj', 'p': 41, 'prec': 20, 'unit': 2177508795133109758732904618389, 'val': 1}
  • id: 584304
    {'lmfdb_iso': '13248.bj', 'p': 43, 'prec': 20, 'unit': 2035082140716329666197694122427, 'val': 1}
  • id: 584314
    {'lmfdb_iso': '13248.bj', 'p': 47, 'prec': 20, 'unit': 50251906422375626703933716329618, 'val': 1}
  • id: 584310
    {'lmfdb_iso': '13248.bj', 'p': 53, 'prec': 20, 'unit': 477802884322537139746310905938740, 'val': 1}
  • id: 584311
    {'lmfdb_iso': '13248.bj', 'p': 59, 'prec': 20, 'unit': 2885607913584998909929265629025423, 'val': 1}
  • id: 584315
    {'lmfdb_iso': '13248.bj', 'p': 61, 'prec': 20, 'unit': 3514081202346530820966567163598168, 'val': 1}
  • id: 584300
    {'lmfdb_iso': '13248.bj', 'p': 67, 'prec': 20, 'unit': 32627011325499894006984369775338031, 'val': 1}
  • id: 584312
    {'lmfdb_iso': '13248.bj', 'p': 73, 'prec': 20, 'unit': 213765419620497966432834504570606903, 'val': 1}
  • id: 584307
    {'lmfdb_iso': '13248.bj', 'p': 79, 'prec': 20, 'unit': 809586810099024249148223867127994800, 'val': 1}
  • id: 584299
    {'lmfdb_iso': '13248.bj', 'p': 83, 'prec': 20, 'unit': 1676419462375654267711293027486525200, 'val': 1}
  • id: 584313
    {'lmfdb_iso': '13248.bj', 'p': 89, 'prec': 20, 'unit': 4566195179902529882529292355362911879, 'val': 1}
  • id: 584298
    {'lmfdb_iso': '13248.bj', 'p': 97, 'prec': 20, 'unit': 36056066271499950002726865485743638717, '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
  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: 86723
    {'Ciso': '13248be', 'Clabel': '13248be4', 'Cnumber': 4, 'abc_quality': 1.0646600114779046, 'absD': 57676024774656, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -142284, 20654480], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13248, 'degree': 49152, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6440411685511626598234718066', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [1666957239793, 301806], 'lmfdb_iso': '13248.bj', 'lmfdb_label': '13248.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -247, 1391], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '12.12.0-4.c.1.1', '24.24.0-8.p.1.6', '184.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2347419843739665618361066832', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 207], [3, 8, 1472], [23, 24, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.055014253377189850000001005952', 'prec': 107}, 'szpiro_ratio': 4.973906898342076, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 86722
    {'Ciso': '13248be', 'Clabel': '13248be3', 'Cnumber': 3, 'abc_quality': 0.97631048127559, 'absD': 962612062322688, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -61644, -5698672], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13248, 'degree': 49152, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6440411685511626598234718066', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [135559106353, 5037138], 'lmfdb_iso': '13248.bj', 'lmfdb_label': '13248.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -107, -457], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '12.12.0-4.c.1.2', '24.24.0-8.k.1.2', '184.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.9389679374958662473444267328', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 1472], [23, 24, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.055014253377189850000001005952', 'prec': 107}, 'szpiro_ratio': 4.709531347240193, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 86721
    {'Ciso': '13248be', 'Clabel': '13248be2', 'Cnumber': 2, 'abc_quality': 0.9444691501696788, 'absD': 32754285674496, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -9804, 252560], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13248, 'degree': 24576, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2974675782711900051148557458', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 171396], 'lmfdb_iso': '13248.bj', 'lmfdb_label': '13248.bj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17, 11], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '24.24.0-8.a.1.1', '92.12.0.?', '184.24.0.?', '276.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4694839687479331236722133664', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 1472], [23, 24, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29155933690278280470861505485', 'prec': 107}, 'szpiro_ratio': 4.128411702893811, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 86720
    {'Ciso': '13248be', 'Clabel': '13248be1', 'Cnumber': 1, 'abc_quality': 0.898775602359137, 'absD': 632933056512, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, 1716, 26768], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13248, 'degree': 12288, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95089398799121735040623968512', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [2924207, 3312], 'lmfdb_iso': '13248.bj', 'lmfdb_label': '13248.bj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3, 3], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '24.24.0-8.p.1.7', '46.6.0.a.1', '92.12.0.?', '184.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2347419843739665618361066832', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 207], [3, 8, 1472], [23, 24, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63813292718275545941723111553', 'prec': 107}, 'szpiro_ratio': 3.5775686037246164, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}