Elliptic curve isogeny class data - 966.g

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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, -2, -1, 1, 1, 1, -2, -4, -1, -2, 1, 2, 1, -6, 1, 4, -2], 'aplist': [1, -1, -2, 1, -4, -2, -6, 4, -1, -2, -8, 6, -6, -4, -8, 6, 4, -10, 4, -8, -6, 0, -12, 2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 966, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '966.g', 'trace_hash': 1936113308950598990}
• ec_padic •

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

  
  
  • id: 21443
    {'lmfdb_iso': '966.g', 'p': 5, 'prec': 20, 'unit': 17110525110113, 'val': 1}
  • id: 21442
    {'lmfdb_iso': '966.g', 'p': 11, 'prec': 20, 'unit': 24099086937172369680, 'val': 1}
  • id: 21449
    {'lmfdb_iso': '966.g', 'p': 13, 'prec': 20, 'unit': 1176549055463666879354, 'val': 1}
  • id: 21451
    {'lmfdb_iso': '966.g', 'p': 17, 'prec': 20, 'unit': 236215785313347452649318, 'val': 1}
  • id: 21452
    {'lmfdb_iso': '966.g', 'p': 19, 'prec': 20, 'unit': 681754764243642321947181, 'val': 1}
  • id: 21448
    {'lmfdb_iso': '966.g', 'p': 29, 'prec': 20, 'unit': 2118924731501013649612514349, 'val': 1}
  • id: 21445
    {'lmfdb_iso': '966.g', 'p': 31, 'prec': 20, 'unit': 238815442009056396897510337, 'val': 2}
  • id: 21459
    {'lmfdb_iso': '966.g', 'p': 37, 'prec': 20, 'unit': 116687865612622911854019307918, 'val': 1}
  • id: 21446
    {'lmfdb_iso': '966.g', 'p': 41, 'prec': 20, 'unit': 2083980786712991671462618073957, 'val': 1}
  • id: 21447
    {'lmfdb_iso': '966.g', 'p': 43, 'prec': 20, 'unit': 7879547246532306325255724458287, 'val': 1}
  • id: 21450
    {'lmfdb_iso': '966.g', 'p': 47, 'prec': 20, 'unit': 35612483960121404032445029062661, 'val': 1}
  • id: 21453
    {'lmfdb_iso': '966.g', 'p': 53, 'prec': 20, 'unit': 453968473787332503097372999099325, 'val': 1}
  • id: 21457
    {'lmfdb_iso': '966.g', 'p': 59, 'prec': 20, 'unit': 2562596764131903257740468437813670, 'val': 1}
  • id: 21458
    {'lmfdb_iso': '966.g', 'p': 61, 'prec': 20, 'unit': 7181453284928840724115114775070463, 'val': 1}
  • id: 21441
    {'lmfdb_iso': '966.g', 'p': 67, 'prec': 20, 'unit': 9361467994109840618069370811862344, 'val': 1}
  • id: 21444
    {'lmfdb_iso': '966.g', 'p': 71, 'prec': 20, 'unit': 83522980530210109010745910115617242, 'val': 1}
  • id: 21454
    {'lmfdb_iso': '966.g', 'p': 73, 'prec': 20, 'unit': 129972463065790829153652389512886996, 'val': 1}
  • id: 21455
    {'lmfdb_iso': '966.g', 'p': 83, 'prec': 20, 'unit': 2555861315803034841510025275417563556, 'val': 1}
  • id: 21456
    {'lmfdb_iso': '966.g', 'p': 89, 'prec': 20, 'unit': 1030430664638880163050091463732694483, 'val': 1}
  • id: 21440
    {'lmfdb_iso': '966.g', 'p': 97, 'prec': 20, 'unit': 54180966071384186204574147494839943729, '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: 4915
    {'Ciso': '966g', 'Clabel': '966g5', 'Cnumber': 5, 'abc_quality': 1.0156853826442096, 'absD': 637608031452, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2576, 'ainvs': [1, 1, 1, -79134, -8601153], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 966, 'degree': 4096, 'elladic_images': ['16.48.0.48'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4159745530398377114249915820', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [54804145548726848737, 637608031452], 'lmfdb_iso': '966.g', 'lmfdb_label': '966.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -79134, -8601153], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '16.48.0-16.e.2.5', '28.24.0-28.h.1.1', '56.48.0-56.bj.1.1', '112.96.0.?', '184.48.0.?', '368.96.0.?', '1288.96.0.?', '2576.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8580932280613992189947970539', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4159745530398377114249915820', 'prec': 100}, 'szpiro_ratio': 6.6127184816179145, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 4914
    {'Ciso': '966g', 'Clabel': '966g4', 'Cnumber': 4, 'abc_quality': 0.9988665037729055, 'absD': 19093020912, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2576, 'ainvs': [1, 1, 1, -17714, 900047], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 966, 'degree': 2048, 'elladic_images': ['8.48.0.159'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [614716917569296417, 19093020912], 'lmfdb_iso': '966.g', 'lmfdb_label': '966.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17714, 900047], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '92.24.0.?', '112.96.0.?', '184.96.0.?', '2576.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4290466140306996094973985269', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'szpiro_ratio': 5.9594008302591, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
  • id: 4913
    {'Ciso': '966g', 'Clabel': '966g3', 'Cnumber': 3, 'abc_quality': 0.9847261399959292, 'absD': 1439452851984, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1288, 'ainvs': [1, 1, 1, -5074, -128689], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 966, 'degree': 2048, 'elladic_images': ['8.48.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [14447092394873377, 1439452851984], 'lmfdb_iso': '966.g', 'lmfdb_label': '966.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5074, -128689], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.48.0-8.e.1.1', '28.48.0-28.c.1.3', '56.96.0-56.j.2.5', '184.96.0.?', '1288.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4290466140306996094973985269', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0694009627598650567163755213', 'prec': 100}, 'szpiro_ratio': 5.413703276743923, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 4912
    {'Ciso': '966g', 'Clabel': '966g2', 'Cnumber': 2, 'abc_quality': 0.96307678039626, 'absD': 26337394944, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1288, 'ainvs': [1, 1, 1, -1154, 12431], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 966, 'degree': 1024, 'elladic_images': ['8.48.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72282737247989240200775946057', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [169967019783457, 26337394944], 'lmfdb_iso': '966.g', 'lmfdb_label': '966.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1154, 12431], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.e.2.2', '56.96.0-56.v.2.6', '92.48.0.?', '184.96.0.?', '1288.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 18, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2145233070153498047486992635', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72282737247989240200775946057', 'prec': 103}, 'szpiro_ratio': 4.767327874505487, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 4911
    {'Ciso': '966g', 'Clabel': '966g1', 'Cnumber': 1, 'abc_quality': 0.9458836476842432, 'absD': 664731648, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2576, 'ainvs': [1, 1, 1, 126, 1167], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 966, 'degree': 512, 'elladic_images': ['16.48.0.27'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.37625378219991974729914339984', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [221115865823, 664731648], 'lmfdb_iso': '966.g', 'lmfdb_label': '966.g5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 126, 1167], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.e.1.2', '46.6.0.a.1', '56.48.0-56.bv.1.2', '92.24.0.?', '112.96.0.?', '184.48.0.?', '368.96.0.?', '1288.96.0.?', '2576.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60726165350767490237434963173', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37625378219991974729914339984', 'prec': 103}, 'szpiro_ratio': 4.009187453804016, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 4916
    {'Ciso': '966g', 'Clabel': '966g6', 'Cnumber': 6, 'abc_quality': 1.0174819765013208, 'absD': 177609314617308, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2576, 'ainvs': [1, 1, 1, 6266, -609505], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 966, 'degree': 4096, 'elladic_images': ['8.48.0.177'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4159745530398377114249915820', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [27207619911317663, 177609314617308], 'lmfdb_iso': '966.g', 'lmfdb_label': '966.g6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 6266, -609505], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '14.6.0.b.1', '28.24.0-28.g.1.1', '56.96.0-56.bh.1.1', '368.96.0.?', '2576.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8580932280613992189947970539', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4159745530398377114249915820', 'prec': 100}, 'szpiro_ratio': 5.844833547582458, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}