Elliptic curve isogeny class data - 3136.p

Formats: - HTML - YAML - JSON - 2025-04-29T14:30:03.065495

• 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, -3, 0, -4, 0, 2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, 2, 0, -4, 2, 6, -8, 0, -6, 8, 2, -2, -4, -8, -6, 0, -6, -4, 8, -10, -16, -8, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 3136, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3136.p', 'trace_hash': 293581156173131875}
• ec_padic •

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

  
  
  • id: 102456
    {'lmfdb_iso': '3136.p', 'p': 5, 'prec': 20, 'unit': 11908445812099, 'val': 1}
  • id: 102455
    {'lmfdb_iso': '3136.p', 'p': 11, 'prec': 20, 'unit': 56509935621477794331, 'val': 1}
  • id: 102462
    {'lmfdb_iso': '3136.p', 'p': 13, 'prec': 20, 'unit': 16104047731919954308, 'val': 1}
  • id: 102464
    {'lmfdb_iso': '3136.p', 'p': 17, 'prec': 20, 'unit': 57844946017799588034175, 'val': 1}
  • id: 102465
    {'lmfdb_iso': '3136.p', 'p': 19, 'prec': 20, 'unit': 1081995942294233562178779, 'val': 1}
  • id: 102461
    {'lmfdb_iso': '3136.p', 'p': 29, 'prec': 20, 'unit': 2569307246109567854834814645, 'val': 1}
  • id: 102458
    {'lmfdb_iso': '3136.p', 'p': 31, 'prec': 20, 'unit': 11447014503679891305516881794, 'val': 1}
  • id: 102472
    {'lmfdb_iso': '3136.p', 'p': 37, 'prec': 20, 'unit': 492924840973815069754642299794, 'val': 1}
  • id: 102459
    {'lmfdb_iso': '3136.p', 'p': 41, 'prec': 20, 'unit': 3302481781618581880330482997125, 'val': 1}
  • id: 102460
    {'lmfdb_iso': '3136.p', 'p': 43, 'prec': 20, 'unit': 2286699166486456939440918588157, 'val': 1}
  • id: 102463
    {'lmfdb_iso': '3136.p', 'p': 47, 'prec': 20, 'unit': 18560823433028635590932421945215, 'val': 1}
  • id: 102466
    {'lmfdb_iso': '3136.p', 'p': 53, 'prec': 20, 'unit': 392208261939859451993206856343503, 'val': 1}
  • id: 102471
    {'lmfdb_iso': '3136.p', 'p': 61, 'prec': 20, 'unit': 371874796237062174367656146456793, 'val': 1}
  • id: 102454
    {'lmfdb_iso': '3136.p', 'p': 67, 'prec': 20, 'unit': 47278108839631897985987079865831548, 'val': 1}
  • id: 102457
    {'lmfdb_iso': '3136.p', 'p': 71, 'prec': 20, 'unit': 68685682754680478461766937908669246, 'val': 1}
  • id: 102467
    {'lmfdb_iso': '3136.p', 'p': 73, 'prec': 20, 'unit': 5670106855039894473714378739937513, 'val': 1}
  • id: 102470
    {'lmfdb_iso': '3136.p', 'p': 79, 'prec': 20, 'unit': 129359007591201333855586180204198178, 'val': 1}
  • id: 102468
    {'lmfdb_iso': '3136.p', 'p': 83, 'prec': 20, 'unit': 450433517631086730658345644013184906, 'val': 1}
  • id: 102469
    {'lmfdb_iso': '3136.p', 'p': 89, 'prec': 20, 'unit': 4798056593822965475506305562139447850, 'val': 1}
  • id: 102453
    {'lmfdb_iso': '3136.p', 'p': 97, 'prec': 20, 'unit': 18846459181408657203064101989328933017, '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: 18651
    {'Ciso': '3136s', 'Clabel': '3136s4', 'Cnumber': 4, 'abc_quality': 1.0465382471182303, 'absD': 107943428096, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -58604, 5460560], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3136, 'degree': 6144, 'elladic_images': ['8.24.0.111'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3174958380090418189147488955', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [1443468546, 7], 'lmfdb_iso': '3136.p', 'lmfdb_label': '3136.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -299, 1990], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.2', '28.12.0-4.c.1.1', '56.48.0-56.bp.1.6'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9330572333397874665166854078', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [7, 32, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298162', 'prec': 107}, 'szpiro_ratio': 5.533588261756485, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 18650
    {'Ciso': '3136s', 'Clabel': '3136s3', 'Cnumber': 3, 'abc_quality': 1.1170620055320515, 'absD': 37024595836928, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -11564, -378672], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3136, 'degree': 6144, 'elladic_images': ['8.24.0.117'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3174958380090418189147488955', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [11090466, 2401], 'lmfdb_iso': '3136.p', 'lmfdb_label': '3136.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, -138], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.k.1.4', '28.12.0-4.c.1.2', '56.48.0-56.v.1.2'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9330572333397874665166854078', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [7, 32, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298162', 'prec': 107}, 'szpiro_ratio': 4.928831365649635, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 18649
    {'Ciso': '3136s', 'Clabel': '3136s2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 377801998336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -3724, 82320], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3136, 'degree': 3072, 'elladic_images': ['8.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97092224772906916420613283473', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '3136.p', 'lmfdb_label': '3136.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': 56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.2', '8.24.0-8.a.1.4', '28.24.0-28.b.1.4', '56.48.0-56.d.1.8'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8661144666795749330333708156', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 32, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636560', 'prec': 107}, 'szpiro_ratio': 4.506595539393541, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 18648
    {'Ciso': '3136s', 'Clabel': '3136s1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 13492928512, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, 196, 5488], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3136, 'degree': 1536, 'elladic_images': ['8.24.0.107'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62434865744909650949751677400', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [432, 7], 'lmfdb_iso': '3136.p', 'lmfdb_label': '3136.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1, 2], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.4', '14.6.0.b.1', '28.12.0.g.1', '56.48.0-56.bn.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9330572333397874665166854078', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 32, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1572781277318296707085970728', 'prec': 103}, 'szpiro_ratio': 3.818769916077174, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}