Elliptic curve isogeny class data - 106722.cd

Formats: - HTML - YAML - JSON - 2024-05-21T00:03:25.717993

• 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, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 1, -6, 0, 2, 0], 'aplist': [-1, 0, 0, 0, 0, 2, -6, 2, 0, 6, 4, 2, 6, 10, -12, -12, -12, -10, 8, 12, 14, -2, -12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 106722, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '106722.cd', 'trace_hash': 1863814963996459774}
• ec_padic •

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

  
  
  • id: 5563412
    {'lmfdb_iso': '106722.cd', 'p': 13, 'prec': 20, 'unit': 1036144162606882020762, 'val': 1}
  • id: 5563414
    {'lmfdb_iso': '106722.cd', 'p': 17, 'prec': 20, 'unit': 236942000043954381617251, 'val': 1}
  • id: 5563415
    {'lmfdb_iso': '106722.cd', 'p': 19, 'prec': 20, 'unit': 1371407893411133263106456, 'val': 1}
  • id: 5563411
    {'lmfdb_iso': '106722.cd', 'p': 29, 'prec': 20, 'unit': 1117736789256844444447749993, 'val': 1}
  • id: 5563421
    {'lmfdb_iso': '106722.cd', 'p': 31, 'prec': 20, 'unit': 16120685870918534414088196164, 'val': 1}
  • id: 5563407
    {'lmfdb_iso': '106722.cd', 'p': 37, 'prec': 20, 'unit': 251091519199749086657799063727, 'val': 1}
  • id: 5563409
    {'lmfdb_iso': '106722.cd', 'p': 41, 'prec': 20, 'unit': 1278825388986337298728191885152, 'val': 1}
  • id: 5563410
    {'lmfdb_iso': '106722.cd', 'p': 43, 'prec': 20, 'unit': 10742768398120354618805484237173, 'val': 1}
  • id: 5563419
    {'lmfdb_iso': '106722.cd', 'p': 47, 'prec': 20, 'unit': 14807178880005274349707963343569, 'val': 1}
  • id: 5563416
    {'lmfdb_iso': '106722.cd', 'p': 53, 'prec': 20, 'unit': 485729475010798957983671399835399, 'val': 1}
  • id: 5563417
    {'lmfdb_iso': '106722.cd', 'p': 59, 'prec': 20, 'unit': 3237278196354806913197973402487282, 'val': 1}
  • id: 5563420
    {'lmfdb_iso': '106722.cd', 'p': 61, 'prec': 20, 'unit': 6490899894952279875784795833022630, 'val': 1}
  • id: 5563406
    {'lmfdb_iso': '106722.cd', 'p': 67, 'prec': 20, 'unit': 31612667775073195260188883611710828, 'val': 1}
  • id: 5563408
    {'lmfdb_iso': '106722.cd', 'p': 71, 'prec': 20, 'unit': 124119212317453176356549580206794376, 'val': 1}
  • id: 5563418
    {'lmfdb_iso': '106722.cd', 'p': 73, 'prec': 20, 'unit': 191658388764539864977097288493932346, 'val': 1}
  • id: 5563413
    {'lmfdb_iso': '106722.cd', 'p': 79, 'prec': 20, 'unit': 355224250409496973112480258446262028, 'val': 1}
  • id: 5563405
    {'lmfdb_iso': '106722.cd', 'p': 83, 'prec': 20, 'unit': 1573644784292330058025665224915519660, 'val': 1}
  • id: 5563404
    {'lmfdb_iso': '106722.cd', 'p': 97, 'prec': 20, 'unit': 21856099290223490618071908051173686300, '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: 700647
    {'Ciso': '106722p', 'Clabel': '106722p4', 'Cnumber': 4, 'abc_quality': 1.0886490953708667, 'absD': 29070449414030181878028, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -7854072, 2119406372], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 106722, 'degree': 8294400, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0012678911491843855178038258', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [13060888875, 7086244], 'lmfdb_iso': '106722.cd', 'lmfdb_label': '106722.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -147, -135], 'min_quad_twist_disc': -231, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '44.6.0.e.1', '84.48.0.?', '132.48.1.?', '231.8.0.?', '462.24.0.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8383032450228361800691567296', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374012', 'prec': 110}, 'szpiro_ratio': 5.116887214900595, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 700645
    {'Ciso': '106722p', 'Clabel': '106722p2', 'Cnumber': 2, 'abc_quality': 1.0492563620983195, 'absD': 43578618608048832, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -6075372, 5765290768], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 106722, 'degree': 2764800, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4519617468151295398201812074', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4406910829875, 7744], 'lmfdb_iso': '106722.cd', 'lmfdb_label': '106722.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9222, -338572], 'min_quad_twist_disc': -231, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '44.6.0.e.1', '84.48.0.?', '132.48.1.?', '231.8.0.?', '462.24.0.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9461010816742787266897189099', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374675', 'prec': 110}, 'szpiro_ratio': 5.050350002846288, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 700646
    {'Ciso': '106722p', 'Clabel': '106722p3', 'Cnumber': 3, 'abc_quality': 0.9992841605881851, 'absD': 87364235654485895952, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -4652412, -3835040896], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 106722, 'degree': 4147200, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6546943008692117308091877651', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2714704875, 21296], 'lmfdb_iso': '106722.cd', 'lmfdb_label': '106722.cd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -87, 333], 'min_quad_twist_disc': -231, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '42.24.0-6.a.1.2', '44.6.0.e.1', '66.24.0.b.1', '84.48.0.?', '132.48.1.?', '231.8.0.?', '462.48.0.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.676606490045672360138313459', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34116762655871246232089432330', 'prec': 107}, 'szpiro_ratio': 4.981203910594404, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 700644
    {'Ciso': '106722p', 'Clabel': '106722p1', 'Cnumber': 1, 'abc_quality': 0.9924779712445644, 'absD': 253548326446829568, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [1, -1, 0, -383532, 88249552], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 106722, 'degree': 1382400, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1053881565351568851115651467', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1108717875, 45056], 'lmfdb_iso': '106722.cd', 'lmfdb_label': '106722.cd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -582, -5068], 'min_quad_twist_disc': -231, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '42.24.0-6.a.1.1', '44.6.0.e.1', '66.24.0.b.1', '84.48.0.?', '132.48.1.?', '231.8.0.?', '462.48.0.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8922021633485574533794378197', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34116762655871246232089432323', 'prec': 107}, 'szpiro_ratio': 4.33453229643602, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}