Elliptic curve isogeny class data - 726.d

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• 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, -4, -1, 2, -1, 1, 4, 0, 1, -4, -2, -4, 1, 2, -1, 0, -4], 'aplist': [-1, 1, -4, 2, 0, -4, 2, 0, -6, -10, -8, -2, -2, -4, -2, 4, 0, 8, -12, 2, 6, -10, -4, 10, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 726, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '726.d', 'trace_hash': 176323992843982184}
• ec_padic •

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

  
  
  • id: 13922
    {'lmfdb_iso': '726.d', 'p': 5, 'prec': 20, 'unit': 36588739725573, 'val': 0}
  • id: 13923
    {'lmfdb_iso': '726.d', 'p': 7, 'prec': 20, 'unit': 4092670647549285, 'val': 1}
  • id: 13928
    {'lmfdb_iso': '726.d', 'p': 13, 'prec': 20, 'unit': 799142339119717211829, 'val': 1}
  • id: 13930
    {'lmfdb_iso': '726.d', 'p': 17, 'prec': 20, 'unit': 22572943939320706009176, 'val': 1}
  • id: 13934
    {'lmfdb_iso': '726.d', 'p': 23, 'prec': 20, 'unit': 15817396847372383567896016, 'val': 1}
  • id: 13927
    {'lmfdb_iso': '726.d', 'p': 29, 'prec': 20, 'unit': 5102239751316618755003110499, 'val': 1}
  • id: 13924
    {'lmfdb_iso': '726.d', 'p': 31, 'prec': 20, 'unit': 13912823417220341229664782383, 'val': 1}
  • id: 13939
    {'lmfdb_iso': '726.d', 'p': 37, 'prec': 20, 'unit': 361603861090386358843342160587, 'val': 1}
  • id: 13925
    {'lmfdb_iso': '726.d', 'p': 41, 'prec': 20, 'unit': 2373921367544308250471318168642, 'val': 1}
  • id: 13926
    {'lmfdb_iso': '726.d', 'p': 43, 'prec': 20, 'unit': 10213950722496761990872378249355, 'val': 1}
  • id: 13929
    {'lmfdb_iso': '726.d', 'p': 47, 'prec': 20, 'unit': 44797324437116827511507017956066, 'val': 1}
  • id: 13932
    {'lmfdb_iso': '726.d', 'p': 53, 'prec': 20, 'unit': 102139297577623576191871306534228, 'val': 1}
  • id: 13938
    {'lmfdb_iso': '726.d', 'p': 61, 'prec': 20, 'unit': 1199353574453878619465484538773934, 'val': 1}
  • id: 13921
    {'lmfdb_iso': '726.d', 'p': 67, 'prec': 20, 'unit': 6416280193548987298268174377533229, 'val': 1}
  • id: 13936
    {'lmfdb_iso': '726.d', 'p': 71, 'prec': 20, 'unit': 17242213203399415374891670395746468, 'val': 1}
  • id: 13933
    {'lmfdb_iso': '726.d', 'p': 73, 'prec': 20, 'unit': 99179082807225959541627708980608423, 'val': 1}
  • id: 13937
    {'lmfdb_iso': '726.d', 'p': 79, 'prec': 20, 'unit': 300162070594002853081224665297541812, 'val': 1}
  • id: 13931
    {'lmfdb_iso': '726.d', 'p': 83, 'prec': 20, 'unit': 2697975535271603467886421634975437574, 'val': 1}
  • id: 13935
    {'lmfdb_iso': '726.d', 'p': 89, 'prec': 20, 'unit': 2270484814025829682933998422705488751, 'val': 1}
  • id: 13920
    {'lmfdb_iso': '726.d', 'p': 97, 'prec': 20, 'unit': 10363705807007160845729918293013454541, '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: 3481
    {'Ciso': '726e', 'Clabel': '726e3', 'Cnumber': 3, 'abc_quality': 1.0637869122465706, 'absD': 3423740047332, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, 0, 1, -1217868, 517205302], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 12000, 'elladic_images': ['8.6.0.4', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9468009027957329301462474431', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [112763292123580561, 1932612], 'lmfdb_iso': '726.d', 'lmfdb_label': '726.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10065, -389499], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '8.6.0.d.1', '10.36.0.a.1', '30.72.0-10.a.1.1', '40.72.1.t.1', '55.24.0-5.a.2.1', '66.6.0.a.1', '110.72.0.?', '120.144.1.?', '264.12.0.?', '330.144.1.?', '440.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5143736681599098397935527371', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 242], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74785326639654765811527565412', 'prec': 103}, 'szpiro_ratio': 8.144369116382856, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3482
    {'Ciso': '726e', 'Clabel': '726e4', 'Cnumber': 4, 'abc_quality': 1.0638684203296611, 'absD': 827095137544298898, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, 0, 1, -1216658, 518284622], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 24000, 'elladic_images': ['8.6.0.5', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2933744930757055848548635038', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-112427521449300721, 466873642818], 'lmfdb_iso': '726.d', 'lmfdb_label': '726.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10055, -390309], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '8.6.0.a.1', '10.36.0.a.1', '40.72.1.c.2', '55.24.0-5.a.2.1', '60.72.0-10.a.1.5', '110.72.0.?', '120.144.1.?', '132.6.0.?', '264.12.0.?', '440.144.1.?', '660.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0287473363198196795871054742', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 242], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0944268566765203128238917148', 'prec': 100}, 'szpiro_ratio': 8.14500183677123, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3479
    {'Ciso': '726e', 'Clabel': '726e1', 'Cnumber': 1, 'abc_quality': 1.073399617726021, 'absD': 4849031734272, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, 0, 1, -5448, -113258], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 2400, 'elladic_images': ['8.6.0.4', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1420819465786827428458677765', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [10091699281, 2737152], 'lmfdb_iso': '726.d', 'lmfdb_label': '726.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -45, 81], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '8.6.0.d.1', '10.36.0.a.2', '30.72.0-10.a.2.1', '40.72.1.t.2', '55.24.0-5.a.1.1', '66.6.0.a.1', '110.72.0.?', '120.144.1.?', '264.12.0.?', '330.144.1.?', '440.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.30287473363198196795871054742', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 242], [5, 2, 121], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.056865689820502529185104012482', 'prec': 110}, 'szpiro_ratio': 5.680769120855953, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3480
    {'Ciso': '726e', 'Clabel': '726e2', 'Cnumber': 2, 'abc_quality': 1.1002106061618209, 'absD': 405045682053408, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1320, 'ainvs': [1, 0, 1, 13912, -732778], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 726, 'degree': 4800, 'elladic_images': ['8.6.0.5', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4886555368586553975544838372', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [168105213359, 228637728], 'lmfdb_iso': '726.d', 'lmfdb_label': '726.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 115, 561], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '8.6.0.a.1', '10.36.0.a.2', '40.72.1.c.1', '55.24.0-5.a.1.1', '60.72.0-10.a.2.5', '110.72.0.?', '120.144.1.?', '132.6.0.?', '264.12.0.?', '440.144.1.?', '660.144.1.?', '1320.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60574946726396393591742109483', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 242], [5, 2, 121], [11, 72, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28970790045947012552351204822', 'prec': 103}, 'szpiro_ratio': 6.153350294048806, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}