Elliptic curve isogeny class data - 105222.l

Formats: - HTML - YAML - JSON - 2025-04-28T04:32:19.838763

• 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, 1, 1, 1, -1, 1, 1, 1, 1, -1, -2, 1, -1, 1, -1, 1, -3, 1, 1, -1], 'aplist': [1, 1, -1, 1, -2, -1, -3, 1, 3, -5, 4, 3, -7, -12, 6, 12, 4, 6, -2, 1, 4, 10, 7, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 105222, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '105222.l', 'trace_hash': 464263634671160083}
• ec_padic •

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

  
  
  • id: 5482046
    {'lmfdb_iso': '105222.l', 'p': 5, 'prec': 20, 'unit': 850557699727, 'val': 1}
  • id: 5482047
    {'lmfdb_iso': '105222.l', 'p': 7, 'prec': 20, 'unit': 49474556655151872, 'val': 0}
  • id: 5482045
    {'lmfdb_iso': '105222.l', 'p': 11, 'prec': 20, 'unit': 48183474879389144599, 'val': 1}
  • id: 5482053
    {'lmfdb_iso': '105222.l', 'p': 17, 'prec': 20, 'unit': 64334355452682529763772, 'val': 1}
  • id: 5482058
    {'lmfdb_iso': '105222.l', 'p': 23, 'prec': 20, 'unit': 32170891449312396604176083, 'val': 1}
  • id: 5482051
    {'lmfdb_iso': '105222.l', 'p': 29, 'prec': 20, 'unit': 1500520789417705321550642797, 'val': 1}
  • id: 5482048
    {'lmfdb_iso': '105222.l', 'p': 31, 'prec': 20, 'unit': 14126965926968540962792888678, 'val': 1}
  • id: 5482062
    {'lmfdb_iso': '105222.l', 'p': 37, 'prec': 20, 'unit': 53008328652578248066640989185, 'val': 1}
  • id: 5482049
    {'lmfdb_iso': '105222.l', 'p': 41, 'prec': 20, 'unit': 3498844103964084245787473285790, 'val': 1}
  • id: 5482050
    {'lmfdb_iso': '105222.l', 'p': 43, 'prec': 20, 'unit': 4903494605769891959337217148063, 'val': 1}
  • id: 5482060
    {'lmfdb_iso': '105222.l', 'p': 47, 'prec': 20, 'unit': 5347313199873080354732358527675, 'val': 1}
  • id: 5482055
    {'lmfdb_iso': '105222.l', 'p': 53, 'prec': 20, 'unit': 428183853594456451805687658338669, 'val': 1}
  • id: 5482056
    {'lmfdb_iso': '105222.l', 'p': 59, 'prec': 20, 'unit': 2104992446991416510391941058172223, 'val': 1}
  • id: 5482061
    {'lmfdb_iso': '105222.l', 'p': 61, 'prec': 20, 'unit': 860914368473360658132419592719503, 'val': 1}
  • id: 5482044
    {'lmfdb_iso': '105222.l', 'p': 67, 'prec': 20, 'unit': 40011554940745384646923615290538175, 'val': 1}
  • id: 5482057
    {'lmfdb_iso': '105222.l', 'p': 73, 'prec': 20, 'unit': 64158826712394748781696762961739116, 'val': 1}
  • id: 5482052
    {'lmfdb_iso': '105222.l', 'p': 79, 'prec': 20, 'unit': 388356821823299978919267037031661786, 'val': 1}
  • id: 5482054
    {'lmfdb_iso': '105222.l', 'p': 83, 'prec': 20, 'unit': 497923708436628215517774833491618245, 'val': 1}
  • id: 5482059
    {'lmfdb_iso': '105222.l', 'p': 89, 'prec': 20, 'unit': 9655342546378653254494226438639862990, 'val': 1}
  • id: 5482043
    {'lmfdb_iso': '105222.l', 'p': 97, 'prec': 20, 'unit': 24034371792337920629255830580802469733, '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: 690901
    {'Ciso': '105222k', 'Clabel': '105222k2', 'Cnumber': 2, 'abc_quality': 1.0247801371035123, 'absD': 520483235310766404806064, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 736554, 'ainvs': [1, 0, 0, -11682947706, -486046291388268], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19, 71], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 105222, 'degree': 87588480, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2047194845509181386167252398', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 11, 'isogeny_degrees': [1, 7], 'jinv': [-176352252185278046480312672913502369, 520483235310766404806064], 'lmfdb_iso': '105222.l', 'lmfdb_label': '105222.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -11682947706, -486046291388268], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '105222.2.0.?', '736554.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '59.031341165585541501633694112', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 52611], [3, 4, 35074], [7, 2, 114], [13, 14, 8094], [19, 20, 5538], [71, 72, 1482]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.2047194845509181386167252398', 'prec': 100}, 'szpiro_ratio': 7.0182463564071265, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 690900
    {'Ciso': '105222k', 'Clabel': '105222k1', 'Cnumber': 1, 'abc_quality': 0.9902525107245326, 'absD': 484356987417093822480384, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 736554, 'ainvs': [1, 0, 0, 16466454, -21440352348], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19, 71], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 105222, 'degree': 12512640, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2317644100232614860640488681', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 7], 'jinv': [493769165839269808367640671, 484356987417093822480384], 'lmfdb_iso': '105222.l', 'lmfdb_label': '105222.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 16466454, -21440352348], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '105222.2.0.?', '736554.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4330487379407916430905277302', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 52611], [3, 4, 35074], [7, 2, 923], [13, 14, 8094], [19, 20, 5538], [71, 72, 1482]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2317644100232614860640488681', 'prec': 100}, 'szpiro_ratio': 5.315204623388917, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}