Elliptic curve isogeny class data - 17472.bg

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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, 0, -1, 0, 2, 0, -1, 0, 1, 0, 4, 0, -1, 0, -2, 0, -2, 0, 4, 0], 'aplist': [0, -1, 2, -1, 4, -1, -2, 4, -4, 2, 0, 2, 2, -4, -12, -6, 0, 10, -4, -8, -6, 8, -8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 17472, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '17472.bg', 'trace_hash': 17504244421767901}
• ec_padic •

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

  
  
  • id: 797691
    {'lmfdb_iso': '17472.bg', 'p': 5, 'prec': 20, 'unit': 18222236074099, 'val': 1}
  • id: 797697
    {'lmfdb_iso': '17472.bg', 'p': 11, 'prec': 20, 'unit': 55393609010221101395, 'val': 1}
  • id: 797698
    {'lmfdb_iso': '17472.bg', 'p': 17, 'prec': 20, 'unit': 115320958790091722358253, 'val': 1}
  • id: 797699
    {'lmfdb_iso': '17472.bg', 'p': 19, 'prec': 20, 'unit': 306614728322336648504426, 'val': 1}
  • id: 797702
    {'lmfdb_iso': '17472.bg', 'p': 23, 'prec': 20, 'unit': 57276879345315116887268625, 'val': 1}
  • id: 797695
    {'lmfdb_iso': '17472.bg', 'p': 29, 'prec': 20, 'unit': 3851015646347766918169171554, 'val': 1}
  • id: 797706
    {'lmfdb_iso': '17472.bg', 'p': 37, 'prec': 20, 'unit': 533693958757559539562791391199, 'val': 1}
  • id: 797693
    {'lmfdb_iso': '17472.bg', 'p': 41, 'prec': 20, 'unit': 2400874108432968292556779154147, 'val': 1}
  • id: 797694
    {'lmfdb_iso': '17472.bg', 'p': 43, 'prec': 20, 'unit': 10058690977404741942875616576376, 'val': 1}
  • id: 797696
    {'lmfdb_iso': '17472.bg', 'p': 47, 'prec': 20, 'unit': 49023915870355486678337828093783, 'val': 1}
  • id: 797700
    {'lmfdb_iso': '17472.bg', 'p': 53, 'prec': 20, 'unit': 10030796560356183457882328528888, 'val': 1}
  • id: 797705
    {'lmfdb_iso': '17472.bg', 'p': 61, 'prec': 20, 'unit': 6910792864302984877890436538020765, 'val': 1}
  • id: 797690
    {'lmfdb_iso': '17472.bg', 'p': 67, 'prec': 20, 'unit': 28840248359142403435972800494530702, 'val': 1}
  • id: 797692
    {'lmfdb_iso': '17472.bg', 'p': 71, 'prec': 20, 'unit': 81534110092989611144013915216508902, 'val': 1}
  • id: 797701
    {'lmfdb_iso': '17472.bg', 'p': 73, 'prec': 20, 'unit': 122641705861604171599795595019243973, 'val': 1}
  • id: 797704
    {'lmfdb_iso': '17472.bg', 'p': 79, 'prec': 20, 'unit': 1406564653635884698597346248628637, 'val': 1}
  • id: 797689
    {'lmfdb_iso': '17472.bg', 'p': 83, 'prec': 20, 'unit': 590338105090591628309301901699298094, 'val': 1}
  • id: 797703
    {'lmfdb_iso': '17472.bg', 'p': 89, 'prec': 20, 'unit': 1194004595518826417533255031342298204, 'val': 1}
  • id: 797688
    {'lmfdb_iso': '17472.bg', 'p': 97, 'prec': 20, 'unit': 25458108028939838272118819803223996487, '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: 115124
    {'Ciso': '17472a', 'Clabel': '17472a3', 'Cnumber': 3, 'abc_quality': 0.9834700067632124, 'absD': 50710321299456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -125217, 17093025], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17472, 'degree': 73728, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6203641036516739131470072386', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [828279937799497, 193444524], 'lmfdb_iso': '17472.bg', 'lmfdb_label': '17472.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1957, 33140], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '24.24.0-24.z.1.14', '364.12.0.?', '728.24.0.?', '2184.48.0.?'], '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': '8.0652464604212200343147250422', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 91], [3, 4, 5824], [7, 8, 2496], [13, 14, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58064333281175594902115905641', 'prec': 103}, 'szpiro_ratio': 4.793746965032465, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 115123
    {'Ciso': '17472a', 'Clabel': '17472a2', 'Cnumber': 2, 'abc_quality': 0.9475546814672546, 'absD': 25320379908096, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -8737, 203425], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17472, 'degree': 36864, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2737905133717012584383911779', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [281397674377, 96589584], 'lmfdb_iso': '17472.bg', 'lmfdb_label': '17472.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -137, 380], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0.b.1', '24.24.0-12.b.1.2', '364.12.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0326232302106100171573625211', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 5824], [7, 8, 2496], [13, 14, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23406974253178329431254299571', 'prec': 103}, 'szpiro_ratio': 3.97607216876463, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 115122
    {'Ciso': '17472a', 'Clabel': '17472a1', 'Cnumber': 1, 'abc_quality': 0.9108369864904062, 'absD': 164886478848, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -3617, -80223], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17472, 'degree': 18432, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92721692309172860372977511717', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [19968681097, 628992], 'lmfdb_iso': '17472.bg', 'lmfdb_label': '17472.bg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -57, -164], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '24.24.0-24.z.1.10', '546.6.0.?', '728.24.0.?', '1092.12.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.0652464604212200343147250422', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 273], [3, 4, 5824], [7, 8, 2496], [13, 14, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11250384774818936039607306502', 'prec': 107}, 'szpiro_ratio': 3.7052380506315408, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 115125
    {'Ciso': '17472a', 'Clabel': '17472a4', 'Cnumber': 4, 'abc_quality': 0.9784540961102451, 'absD': 1941463574249472, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, -1, 0, 25823, 1385377], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17472, 'degree': 73728, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6203641036516739131470072386', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [7264187703863, 7406095788], 'lmfdb_iso': '17472.bg', 'lmfdb_label': '17472.bg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 403, 2756], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0-4.c.1.3', '12.12.0.g.1', '24.24.0-12.g.1.2', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.0652464604212200343147250422', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 5824], [7, 8, 2496], [13, 14, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58064333281175594902115905641', 'prec': 103}, 'szpiro_ratio': 4.308875687932953, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}