Elliptic curve isogeny class data - 68544.bq

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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, 1, 0, 0, 0, 4, 0, 2, 0, 0, 0, -1, 0, -4, 0], 'aplist': [0, 0, -2, 1, 4, 2, -1, -4, -8, 6, 0, 2, -10, 4, 0, 6, -4, -6, 12, 8, -6, 0, -12, 6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 68544, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '68544.bq', 'trace_hash': 1626160513495575455}
• ec_padic •

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

  
  
  • id: 3506177
    {'lmfdb_iso': '68544.bq', 'p': 5, 'prec': 20, 'unit': 267147246843, 'val': 1}
  • id: 3506183
    {'lmfdb_iso': '68544.bq', 'p': 11, 'prec': 20, 'unit': 30050572156263188532, 'val': 1}
  • id: 3506181
    {'lmfdb_iso': '68544.bq', 'p': 13, 'prec': 20, 'unit': 1326574875053058831907, 'val': 1}
  • id: 3506184
    {'lmfdb_iso': '68544.bq', 'p': 19, 'prec': 20, 'unit': 1507767466450445464758043, 'val': 1}
  • id: 3506187
    {'lmfdb_iso': '68544.bq', 'p': 23, 'prec': 20, 'unit': 60210303069793889802218094, 'val': 1}
  • id: 3506182
    {'lmfdb_iso': '68544.bq', 'p': 29, 'prec': 20, 'unit': 5653534159123909446089557070, 'val': 1}
  • id: 3506191
    {'lmfdb_iso': '68544.bq', 'p': 37, 'prec': 20, 'unit': 241072516468501745605126401824, 'val': 1}
  • id: 3506179
    {'lmfdb_iso': '68544.bq', 'p': 41, 'prec': 20, 'unit': 926829382571324497239588367476, 'val': 1}
  • id: 3506180
    {'lmfdb_iso': '68544.bq', 'p': 43, 'prec': 20, 'unit': 10644114865747584102748168997246, 'val': 1}
  • id: 3506185
    {'lmfdb_iso': '68544.bq', 'p': 53, 'prec': 20, 'unit': 417708293558777249967522435398755, 'val': 1}
  • id: 3506189
    {'lmfdb_iso': '68544.bq', 'p': 59, 'prec': 20, 'unit': 4396491696699369052241782501203598, 'val': 1}
  • id: 3506190
    {'lmfdb_iso': '68544.bq', 'p': 61, 'prec': 20, 'unit': 7356283752581740650853587260814333, 'val': 1}
  • id: 3506176
    {'lmfdb_iso': '68544.bq', 'p': 67, 'prec': 20, 'unit': 35241716345465116970185118895805490, 'val': 1}
  • id: 3506178
    {'lmfdb_iso': '68544.bq', 'p': 71, 'prec': 20, 'unit': 51178747146503731838090468460680726, 'val': 1}
  • id: 3506186
    {'lmfdb_iso': '68544.bq', 'p': 73, 'prec': 20, 'unit': 215621843544317159008084377228579410, 'val': 1}
  • id: 3506175
    {'lmfdb_iso': '68544.bq', 'p': 83, 'prec': 20, 'unit': 1752263365125592446250740863597734391, 'val': 1}
  • id: 3506188
    {'lmfdb_iso': '68544.bq', 'p': 89, 'prec': 20, 'unit': 6853514604462097685054726813516499330, 'val': 1}
  • id: 3506174
    {'lmfdb_iso': '68544.bq', 'p': 97, 'prec': 20, 'unit': 52577230346003483058614241913339364187, '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: 453272
    {'Ciso': '68544ca', 'Clabel': '68544ca6', 'Cnumber': 6, 'abc_quality': 1.0624727966937526, 'absD': 3428585041820215664443392, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, -7901915916, 270362650933744], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 68544, 'degree': 47185920, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1681558844969905723582779218', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [285531136548675601769470657, 17941034271597192], 'lmfdb_iso': '68544.bq', 'lmfdb_label': '68544.bq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13718604, -19563199515], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '12.12.0-4.c.1.1', '24.96.0-8.p.1.4', '272.96.1.?', '816.192.1.?'], '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': '24.119111190970408251151928543', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 7616], [7, 8, 9792], [17, 18, 4032]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071212', 'prec': 100}, 'szpiro_ratio': 7.183031514299601, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 453270
    {'Ciso': '68544ca', 'Clabel': '68544ca4', 'Cnumber': 4, 'abc_quality': 1.07814467781823, 'absD': 105578465440762377246081024, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [0, 0, 0, -494809356, 4207535177200], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 68544, 'degree': 23592960, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8215822942170179176496618611', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4], 'jinv': [70108386184777836280897, 552468975892674624], 'lmfdb_iso': '68544.bq', 'lmfdb_label': '68544.bq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -859044, -304722459], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '12.24.0-4.b.1.2', '24.96.0-8.f.1.7', '136.96.1.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.059555595485204125575964272', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 7616], [7, 8, 9792], [17, 18, 4032]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910605', 'prec': 100}, 'szpiro_ratio': 6.436566189205543, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 453271
    {'Ciso': '68544ca', 'Clabel': '68544ca5', 'Cnumber': 5, 'abc_quality': 1.0817271650752718, 'absD': 40117282902307747339601707008, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, -168539916, 9673331343856], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 68544, 'degree': 47185920, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1681558844969905723582779218', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2770540998624539614657, 209924951154647363208], 'lmfdb_iso': '68544.bq', 'lmfdb_label': '68544.bq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -292604, -699871003], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '12.12.0-4.c.1.2', '16.48.0.e.1', '24.48.0-8.k.1.5', '48.96.0-16.e.1.3', '136.48.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], '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': '24.119111190970408251151928543', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 7616], [7, 8, 9792], [17, 18, 4032]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071212', 'prec': 100}, 'szpiro_ratio': 6.5848595563853545, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 453268
    {'Ciso': '68544ca', 'Clabel': '68544ca2', 'Cnumber': 2, 'abc_quality': 1.0972067382550121, 'absD': 8556173822292317630889984, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [0, 0, 0, -52257036, -36541571600], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 68544, 'degree': 11796480, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4750087039370452629410458003', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4], 'jinv': [82582985847542515777, 44772582831427584], 'lmfdb_iso': '68544.bq', 'lmfdb_label': '68544.bq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -90724, 2605541], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '24.96.0-8.i.1.2', '68.24.0.c.1', '136.96.1.?', '408.192.1.?'], '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': '6.0297777977426020627879821358', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 7616], [7, 8, 9792], [17, 18, 4032]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8859817887630724531175749997', 'prec': 100}, 'szpiro_ratio': 5.830921463234652, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 453267
    {'Ciso': '68544ca', 'Clabel': '68544ca1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 10600185040337928978432, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, -40460556, -98935513616], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 68544, 'degree': 5898240, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1284351136570726082324297396', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '68544.bq', 'lmfdb_label': '68544.bq5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.z.1', '24.48.0-8.bb.1.5', '34.6.0.a.1', '48.96.0-16.z.1.3', '68.12.0.g.1', '136.48.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], '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': '12.059555595485204125575964272', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 153], [3, 8, 7616], [7, 8, 9792], [17, 18, 4032]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589390', 'prec': 100}, 'szpiro_ratio': 5.761992413198879, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 453269
    {'Ciso': '68544ca', 'Clabel': '68544ca3', 'Cnumber': 3, 'abc_quality': 1.06742381122777, 'absD': 559693166836017780624457728, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, 201551604, -287406031376], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 68544, 'degree': 23592960, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8215822942170179176496618611', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4738217997934888496063, 2928751705237796928], 'lmfdb_iso': '68544.bq', 'lmfdb_label': '68544.bq6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 349916, 20936165], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.z.2', '24.48.0-8.bb.2.2', '48.96.0-16.z.2.2', '68.12.0.h.1', '136.48.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], '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': '3.0148888988713010313939910679', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 153], [3, 8, 7616], [7, 8, 9792], [17, 18, 4032]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910605', 'prec': 100}, 'szpiro_ratio': 6.194597139242553, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}