Elliptic curve isogeny class data - 13328.p

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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, 0, 0, 2, 0, 0, 0, -3, 0, 0, 0, 2, 0, 0, 0, -1, 0, -4, 0], 'aplist': [0, 0, 2, 0, 0, 2, -1, -4, -4, 6, 4, -2, 6, -4, 0, 6, -12, 10, -4, 4, 6, -12, -4, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 13328, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '13328.p', 'trace_hash': 2096096083536232255}
• ec_padic •

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

  
  
  • id: 588274
    {'lmfdb_iso': '13328.p', 'p': 5, 'prec': 20, 'unit': 3272484267281, 'val': 2}
  • id: 588280
    {'lmfdb_iso': '13328.p', 'p': 13, 'prec': 20, 'unit': 1026188266799875244700, 'val': 1}
  • id: 588271
    {'lmfdb_iso': '13328.p', 'p': 19, 'prec': 20, 'unit': 629550555473705078344915, 'val': 1}
  • id: 588285
    {'lmfdb_iso': '13328.p', 'p': 23, 'prec': 20, 'unit': 42615546048737417014102106, 'val': 1}
  • id: 588279
    {'lmfdb_iso': '13328.p', 'p': 29, 'prec': 20, 'unit': 351515870708069586591658113, 'val': 1}
  • id: 588276
    {'lmfdb_iso': '13328.p', 'p': 31, 'prec': 20, 'unit': 15410068724320657407737625480, 'val': 1}
  • id: 588289
    {'lmfdb_iso': '13328.p', 'p': 37, 'prec': 20, 'unit': 293959995355499849695931459041, 'val': 1}
  • id: 588277
    {'lmfdb_iso': '13328.p', 'p': 41, 'prec': 20, 'unit': 213088702129057725308554809424, 'val': 1}
  • id: 588278
    {'lmfdb_iso': '13328.p', 'p': 43, 'prec': 20, 'unit': 1639424984823117384910786844231, 'val': 1}
  • id: 588283
    {'lmfdb_iso': '13328.p', 'p': 53, 'prec': 20, 'unit': 137398403847249759640130894250867, 'val': 1}
  • id: 588287
    {'lmfdb_iso': '13328.p', 'p': 59, 'prec': 20, 'unit': 3140729046301314700513648029460773, 'val': 1}
  • id: 588288
    {'lmfdb_iso': '13328.p', 'p': 61, 'prec': 20, 'unit': 7108562674944639319560005318581550, 'val': 1}
  • id: 588273
    {'lmfdb_iso': '13328.p', 'p': 67, 'prec': 20, 'unit': 3835449248441321867063166939629640, 'val': 1}
  • id: 588275
    {'lmfdb_iso': '13328.p', 'p': 71, 'prec': 20, 'unit': 11137965484008599622202887224940371, 'val': 1}
  • id: 588284
    {'lmfdb_iso': '13328.p', 'p': 73, 'prec': 20, 'unit': 380219664599061639555783675318588, 'val': 1}
  • id: 588281
    {'lmfdb_iso': '13328.p', 'p': 79, 'prec': 20, 'unit': 322402023491820142562973959658469829, 'val': 1}
  • id: 588282
    {'lmfdb_iso': '13328.p', 'p': 83, 'prec': 20, 'unit': 155070729768864681422032979143764939, 'val': 1}
  • id: 588286
    {'lmfdb_iso': '13328.p', 'p': 89, 'prec': 20, 'unit': 46580133560598928716965594293255886, 'val': 1}
  • id: 588272
    {'lmfdb_iso': '13328.p', 'p': 97, 'prec': 20, 'unit': 48220599931664700411751165069429519890, '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: 87221
    {'Ciso': '13328o', 'Clabel': '13328o3', 'Cnumber': 3, 'abc_quality': 1.0313050753900588, 'absD': 8192135168, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 7616, 'ainvs': [0, 0, 0, -71099, -7296982], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13328, 'degree': 18432, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2894661341462584810124754890', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [82483294977, 17], 'lmfdb_iso': '13328.p', 'lmfdb_label': '13328.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -91, -310], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '28.12.0-4.c.1.2', '32.48.0.f.2', '34.6.0.a.1', '56.24.0-8.o.1.3', '68.12.0.g.1', '112.48.0.?', '136.48.0.?', '224.96.0.?', '272.192.7.?', '476.24.0.?', '544.384.21.?', '952.96.0.?', '1088.768.53.?', '1904.384.7.?', '3808.768.21.?', '7616.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.8311038085842082745340961909', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 833], [7, 26, 272], [17, 18, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300418', 'prec': 107}, 'szpiro_ratio': 4.751619611118073, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 87220
    {'Ciso': '13328o', 'Clabel': '13328o2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 139266297856, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 3808, 'ainvs': [0, 0, 0, -4459, -113190], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13328, 'degree': 9216, 'elladic_images': ['16.48.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94289254386628582630385942822', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '13328.p', 'lmfdb_label': '13328.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.f.1', '16.48.0.c.2', '28.24.0-4.a.1.1', '56.48.0-8.f.1.1', '68.24.0.b.1', '112.96.0.?', '136.96.3.?', '272.384.21.?', '476.48.0.?', '544.768.53.?', '952.192.3.?', '1904.768.21.?', '3808.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4155519042921041372670480955', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 26, 272], [17, 18, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906496', 'prec': 107}, 'szpiro_ratio': 3.8769326715493793, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 87222
    {'Ciso': '13328o', 'Clabel': '13328o4', 'Cnumber': 4, 'abc_quality': 1.1807067659885138, 'absD': 40247960080384, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 7616, 'ainvs': [0, 0, 0, -539, -305270], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13328, 'degree': 18432, 'elladic_images': ['16.48.0.76'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2894661341462584810124754890', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '13328.p', 'lmfdb_label': '13328.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.t.1', '16.48.0.m.2', '28.24.0-4.d.1.1', '56.48.0-8.t.1.1', '112.96.0.?', '136.48.1.?', '272.192.9.?', '544.384.21.?', '952.96.1.?', '1088.768.53.?', '1904.384.9.?', '3808.768.21.?', '7616.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.8311038085842082745340961909', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 26, 272], [17, 18, 784]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300418', 'prec': 107}, 'szpiro_ratio': 4.083237664063016, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 87219
    {'Ciso': '13328o', 'Clabel': '13328o1', 'Cnumber': 1, 'abc_quality': 1.024323072883995, 'absD': 8192135168, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 7616, 'ainvs': [0, 0, 0, -539, 2058], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13328, 'degree': 4608, 'elladic_images': ['32.48.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59631895358631317159524336749', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [35937, 17], 'lmfdb_iso': '13328.p', 'lmfdb_label': '13328.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, 0], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.j.1', '28.12.0-4.c.1.1', '32.48.0.f.2', '34.6.0.a.1', '56.24.0-8.o.1.4', '68.12.0.g.1', '112.48.0.?', '136.48.0.?', '224.96.0.?', '272.192.7.?', '476.24.0.?', '544.384.21.?', '952.96.0.?', '1088.768.53.?', '1904.384.7.?', '3808.768.21.?', '7616.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2077759521460520686335240477', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 833], [7, 26, 272], [17, 18, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0697833015012887903746651257', 'prec': 103}, 'szpiro_ratio': 3.2095137683814525, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}