Elliptic curve isogeny class data - 5040.x

Formats: - HTML - YAML - JSON - 2024-05-15T09:46:16.848549

• 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, 1, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 1, -1, 0, -2, -6, 4, 4, -6, 0, 6, -6, 4, 8, -14, -4, -2, -12, -12, 10, -8, -4, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 5040, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '5040.x', 'trace_hash': 570798029176139979}
• ec_padic •

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

  
  
  • id: 185373
    {'lmfdb_iso': '5040.x', 'p': 13, 'prec': 20, 'unit': 917183560684239787168, 'val': 1}
  • id: 185375
    {'lmfdb_iso': '5040.x', 'p': 17, 'prec': 20, 'unit': 204386940605610060099407, 'val': 1}
  • id: 185376
    {'lmfdb_iso': '5040.x', 'p': 19, 'prec': 20, 'unit': 1653782891425057939197059, 'val': 1}
  • id: 185380
    {'lmfdb_iso': '5040.x', 'p': 23, 'prec': 20, 'unit': 69225197965498497820024761, 'val': 1}
  • id: 185372
    {'lmfdb_iso': '5040.x', 'p': 29, 'prec': 20, 'unit': 210256251425157730891532607, 'val': 2}
  • id: 185368
    {'lmfdb_iso': '5040.x', 'p': 37, 'prec': 20, 'unit': 367956394663902331866085387885, 'val': 1}
  • id: 185370
    {'lmfdb_iso': '5040.x', 'p': 41, 'prec': 20, 'unit': 936780471222346663926324651460, 'val': 1}
  • id: 185371
    {'lmfdb_iso': '5040.x', 'p': 43, 'prec': 20, 'unit': 5155660514964401067017124468051, 'val': 1}
  • id: 185382
    {'lmfdb_iso': '5040.x', 'p': 47, 'prec': 20, 'unit': 38380434868676404096787302050077, 'val': 1}
  • id: 185377
    {'lmfdb_iso': '5040.x', 'p': 53, 'prec': 20, 'unit': 5562949675798789803351587886107, 'val': 1}
  • id: 185378
    {'lmfdb_iso': '5040.x', 'p': 59, 'prec': 20, 'unit': 1195998243547605401733007602957974, 'val': 1}
  • id: 185383
    {'lmfdb_iso': '5040.x', 'p': 61, 'prec': 20, 'unit': 892140485279913157484200176863690, 'val': 1}
  • id: 185367
    {'lmfdb_iso': '5040.x', 'p': 67, 'prec': 20, 'unit': 40608845559317613803492385172135523, 'val': 1}
  • id: 185369
    {'lmfdb_iso': '5040.x', 'p': 71, 'prec': 20, 'unit': 30638726171474445548135513187596982, 'val': 1}
  • id: 185379
    {'lmfdb_iso': '5040.x', 'p': 73, 'prec': 20, 'unit': 13848052354297436567946946102287708, 'val': 1}
  • id: 185374
    {'lmfdb_iso': '5040.x', 'p': 79, 'prec': 20, 'unit': 870316743686247619816613502243317640, 'val': 1}
  • id: 185366
    {'lmfdb_iso': '5040.x', 'p': 83, 'prec': 20, 'unit': 403582450344333075434281528715457248, 'val': 1}
  • id: 185381
    {'lmfdb_iso': '5040.x', 'p': 89, 'prec': 20, 'unit': 7575714313956452627433862543706057341, 'val': 1}
  • id: 185365
    {'lmfdb_iso': '5040.x', 'p': 97, 'prec': 20, 'unit': 34260679864494507732576677567524319151, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 31273
    {'Ciso': '5040o', 'Clabel': '5040o3', 'Cnumber': 3, 'abc_quality': 0.9761022274426737, 'absD': 10581580800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -33627, -2373446], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5040, 'degree': 8192, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1617797717808307772945121223', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [5633270409316, 14175], 'lmfdb_iso': '5040.x', 'lmfdb_label': '5040.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3736, -86660], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '12.12.0-4.c.1.2', '24.24.0-24.z.1.4', '28.12.0.h.1', '56.24.0-28.h.1.5', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7784064295103511001354916657', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.034850976980154840415862735957', 'prec': 107}, 'szpiro_ratio': 5.03015192329827, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 31274
    {'Ciso': '5040o', 'Clabel': '5040o4', 'Cnumber': 4, 'abc_quality': 0.9482276041115532, 'absD': 6123600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -5907, 127906], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5040, 'degree': 8192, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1617797717808307772945121223', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [30534944836, 8203125], 'lmfdb_iso': '5040.x', 'lmfdb_label': '5040.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -656, 4956], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.z.1.8', '42.6.0.a.1', '56.24.0-56.ba.1.13', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.69460160737758777503387291642', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.034850976980154840415862735957', 'prec': 107}, 'szpiro_ratio': 4.418131404135468, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 31272
    {'Ciso': '5040o', 'Clabel': '5040o2', 'Cnumber': 2, 'abc_quality': 0.9068964182020077, 'absD': 51438240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 84, 'ainvs': [0, 0, 0, -2127, -36146], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5040, 'degree': 4096, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81520618150085812258589606157', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [5702413264, 275625], 'lmfdb_iso': '5040.x', 'lmfdb_label': '5040.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -236, -1260], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.b.1.2', '28.24.0-28.a.1.3', '84.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3892032147551755500677458328', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19619808320649359605654797120', 'prec': 107}, 'szpiro_ratio': 4.05869226550337, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 31271
    {'Ciso': '5040o', 'Clabel': '5040o1', 'Cnumber': 1, 'abc_quality': 0.9867789519759232, 'absD': 2100394800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, 78, -2189], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5040, 'degree': 2048, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.46863259122088546787728000084', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [4499456, 180075], 'lmfdb_iso': '5040.x', 'lmfdb_label': '5040.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 9, -84], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '6.6.0.a.1', '12.24.0-12.g.1.1', '56.24.0-56.ba.1.5', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7784064295103511001354916657', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31172261329981781429275332477', 'prec': 107}, 'szpiro_ratio': 3.3906156738177478, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}