Elliptic curve isogeny class data - 82368.bb

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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, 0, 0, 1, 0, -1, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -2, 0, 1, -1, -6, 0, -4, 6, 4, -2, -10, 4, -8, -6, 4, 2, 4, 8, 14, -8, 4, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 82368, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '82368.bb', 'trace_hash': 478137534167936897}
• ec_padic •

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

  
  
  • id: 4248551
    {'lmfdb_iso': '82368.bb', 'p': 5, 'prec': 20, 'unit': 3461012599516, 'val': 1}
  • id: 4248542
    {'lmfdb_iso': '82368.bb', 'p': 17, 'prec': 20, 'unit': 161464970127082831002777, 'val': 1}
  • id: 4248547
    {'lmfdb_iso': '82368.bb', 'p': 23, 'prec': 20, 'unit': 2915074969903840605206216, 'val': 2}
  • id: 4248540
    {'lmfdb_iso': '82368.bb', 'p': 29, 'prec': 20, 'unit': 1752643532304156507388776779, 'val': 1}
  • id: 4248537
    {'lmfdb_iso': '82368.bb', 'p': 31, 'prec': 20, 'unit': 17463511576899440559637950339, 'val': 1}
  • id: 4248535
    {'lmfdb_iso': '82368.bb', 'p': 37, 'prec': 20, 'unit': 489317396002578547697929717468, 'val': 1}
  • id: 4248538
    {'lmfdb_iso': '82368.bb', 'p': 41, 'prec': 20, 'unit': 3081531190240624874767031320978, 'val': 1}
  • id: 4248539
    {'lmfdb_iso': '82368.bb', 'p': 43, 'prec': 20, 'unit': 1924817813061954246898511154351, 'val': 1}
  • id: 4248549
    {'lmfdb_iso': '82368.bb', 'p': 47, 'prec': 20, 'unit': 51182103697737624332480754391339, 'val': 1}
  • id: 4248544
    {'lmfdb_iso': '82368.bb', 'p': 53, 'prec': 20, 'unit': 358190571095794763052089000286063, 'val': 1}
  • id: 4248545
    {'lmfdb_iso': '82368.bb', 'p': 59, 'prec': 20, 'unit': 4278433381693823959662345122474360, 'val': 1}
  • id: 4248550
    {'lmfdb_iso': '82368.bb', 'p': 61, 'prec': 20, 'unit': 6445427468418412960174637337083417, 'val': 1}
  • id: 4248534
    {'lmfdb_iso': '82368.bb', 'p': 67, 'prec': 20, 'unit': 32110755237867395814413373796940651, 'val': 1}
  • id: 4248536
    {'lmfdb_iso': '82368.bb', 'p': 71, 'prec': 20, 'unit': 67270066069801969175098111870548181, 'val': 1}
  • id: 4248546
    {'lmfdb_iso': '82368.bb', 'p': 73, 'prec': 20, 'unit': 220418345311623074772019118478054075, 'val': 1}
  • id: 4248541
    {'lmfdb_iso': '82368.bb', 'p': 79, 'prec': 20, 'unit': 423058435150053848872060130387864413, 'val': 1}
  • id: 4248543
    {'lmfdb_iso': '82368.bb', 'p': 83, 'prec': 20, 'unit': 557431399242544561706618052892913913, 'val': 1}
  • id: 4248548
    {'lmfdb_iso': '82368.bb', 'p': 89, 'prec': 20, 'unit': 8997323114208024410304075524972962618, 'val': 1}
  • id: 4248533
    {'lmfdb_iso': '82368.bb', 'p': 97, 'prec': 20, 'unit': 20938030829314697571227860839569245041, '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: 542801
    {'Ciso': '82368bv', 'Clabel': '82368bv4', 'Cnumber': 4, 'abc_quality': 1.059433311036222, 'absD': 1475697180672, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -23721996, -44470801424], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5232927106348381855389436523', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [7725203825376001537, 7722], 'lmfdb_iso': '82368.bb', 'lmfdb_label': '82368.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -41184, 3199767], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '88.12.0.?', '104.12.0.?', '132.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], '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': '16.617281587659313774931641905', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1287], [3, 6, 9152], [11, 12, 7488], [13, 14, 6336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93426579546086537571547285165', 'prec': 103}, 'szpiro_ratio': 5.526955256588992, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 542800
    {'Ciso': '82368bv', 'Clabel': '82368bv3', 'Cnumber': 3, 'abc_quality': 0.9801677618071025, 'absD': 63814386292945846272, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -1545996, -632220176], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 1769472, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5232927106348381855389436523', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [2138362647385537, 333926700822], 'lmfdb_iso': '82368.bb', 'lmfdb_label': '82368.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2684, 44615], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '88.12.0.?', '104.12.0.?', '132.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], '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': '4.1543203969148284437329104763', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 6, 9152], [11, 12, 7488], [13, 14, 6336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93426579546086537571547285165', 'prec': 103}, 'szpiro_ratio': 4.803195419294845, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 542799
    {'Ciso': '82368bv', 'Clabel': '82368bv2', 'Cnumber': 2, 'abc_quality': 1.020811169592003, 'absD': 11395333629149184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -1482636, -694845200], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 884736, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1767191203548655308303275916', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [1886079023633377, 59629284], 'lmfdb_iso': '82368.bb', 'lmfdb_label': '82368.bb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2574, 49191], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '88.12.0.?', '104.12.0.?', '132.12.0.?', '156.12.0.?', '264.24.0.?', '312.24.0.?', '572.12.0.?', '1144.24.0.?', '1716.24.0.?', '3432.48.0.?'], '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': '8.3086407938296568874658209526', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 9152], [11, 12, 7488], [13, 14, 6336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58769220518089272100685679095', 'prec': 103}, 'szpiro_ratio': 4.792104257193162, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 542798
    {'Ciso': '82368bv', 'Clabel': '82368bv1', 'Cnumber': 1, 'abc_quality': 0.9803976849267315, 'absD': 15713223579795456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 0, 0, -88716, -11824400], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 82368, 'degree': 442368, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8301455300748928761217115308', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [-404075127457, 82223856], 'lmfdb_iso': '82368.bb', 'lmfdb_label': '82368.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -154, 791], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '78.6.0.?', '88.12.0.?', '104.12.0.?', '156.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1543203969148284437329104763', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 6, 9152], [11, 12, 7488], [13, 14, 6336]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24111861490092006629824073015', 'prec': 103}, 'szpiro_ratio': 4.072328944847091, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}