Elliptic curve isogeny class data - 39360.bh

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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, 1, 0, 0, 0, 1, 0, 4, 0, -2, 0, -1, 0, -6, 0, 0, 0], 'aplist': [0, -1, 1, 0, 4, -2, -6, 0, 0, 2, -8, 6, 1, -4, 4, 6, 0, 2, 4, -8, 2, 0, 4, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 39360, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '39360.bh', 'trace_hash': 524181566787001750}
• ec_padic •

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

  
  
  • id: 1946445
    {'lmfdb_iso': '39360.bh', 'p': 11, 'prec': 20, 'unit': 11574595910739547361, 'val': 1}
  • id: 1946451
    {'lmfdb_iso': '39360.bh', 'p': 13, 'prec': 20, 'unit': 552159955581935079259, 'val': 1}
  • id: 1946453
    {'lmfdb_iso': '39360.bh', 'p': 17, 'prec': 20, 'unit': 179701675930650336265642, 'val': 1}
  • id: 1946450
    {'lmfdb_iso': '39360.bh', 'p': 29, 'prec': 20, 'unit': 471350801125435289197744535, 'val': 1}
  • id: 1946458
    {'lmfdb_iso': '39360.bh', 'p': 31, 'prec': 20, 'unit': 747227674974751341816509733, 'val': 1}
  • id: 1946446
    {'lmfdb_iso': '39360.bh', 'p': 37, 'prec': 20, 'unit': 70852703484125364660677646968, 'val': 1}
  • id: 1946449
    {'lmfdb_iso': '39360.bh', 'p': 43, 'prec': 20, 'unit': 10282651814399764948030063456542, 'val': 1}
  • id: 1946452
    {'lmfdb_iso': '39360.bh', 'p': 47, 'prec': 20, 'unit': 15904192594227595376293987537070, 'val': 1}
  • id: 1946455
    {'lmfdb_iso': '39360.bh', 'p': 53, 'prec': 20, 'unit': 451497821939307572052565107579564, 'val': 1}
  • id: 1946457
    {'lmfdb_iso': '39360.bh', 'p': 61, 'prec': 20, 'unit': 2907559528360882672875700515837592, 'val': 1}
  • id: 1946454
    {'lmfdb_iso': '39360.bh', 'p': 67, 'prec': 20, 'unit': 40431627405714016728798172608869651, 'val': 1}
  • id: 1946447
    {'lmfdb_iso': '39360.bh', 'p': 71, 'prec': 20, 'unit': 48452563244808245960503801162356404, 'val': 1}
  • id: 1946448
    {'lmfdb_iso': '39360.bh', 'p': 73, 'prec': 20, 'unit': 159374852717126544992249217058760209, 'val': 1}
  • id: 1946444
    {'lmfdb_iso': '39360.bh', 'p': 83, 'prec': 20, 'unit': 2249287014121904634942235576818574364, 'val': 1}
  • id: 1946456
    {'lmfdb_iso': '39360.bh', 'p': 89, 'prec': 20, 'unit': 2100656480692864220794303659502820348, 'val': 1}
  • id: 1946443
    {'lmfdb_iso': '39360.bh', 'p': 97, 'prec': 20, 'unit': 23142516207511562341188357502149738010, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 262030
    {'Ciso': '39360r', 'Clabel': '39360r4', 'Cnumber': 4, 'abc_quality': 0.9765404894934319, 'absD': 161218560000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4920, 'ainvs': [0, -1, 0, -335905, 75045025], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39360, 'degree': 147456, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6413700715653994518142476311', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 4], 'jinv': [15989485458638089, 615000], 'lmfdb_iso': '39360.bh', 'lmfdb_label': '39360.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5249, 145916], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '40.24.0-40.bb.1.2', '984.24.0.?', '4920.48.0.?'], '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': '6.9239719607894607007992387180', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 123], [3, 4, 13120], [5, 6, 7872], [41, 42, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60164930072548148768839944891', 'prec': 103}, 'szpiro_ratio': 4.705574577010469, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 262029
    {'Ciso': '39360r', 'Clabel': '39360r3', 'Cnumber': 3, 'abc_quality': 0.9899910046835277, 'absD': 2400050384732160, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4920, 'ainvs': [0, -1, 0, -33825, -410463], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39360, 'degree': 147456, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6413700715653994518142476311', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 4], 'jinv': [16327137318409, 9155465640], 'lmfdb_iso': '39360.bh', 'lmfdb_label': '39360.bh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -529, -868], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '40.24.0-40.v.1.1', '984.24.0.?', '4920.48.0.?'], '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': '1.7309929901973651751998096795', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 13120], [5, 6, 7872], [41, 42, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60164930072548148768839944891', 'prec': 103}, 'szpiro_ratio': 4.054673905618171, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 262028
    {'Ciso': '39360r', 'Clabel': '39360r2', 'Cnumber': 2, 'abc_quality': 0.9272074898737906, 'absD': 6345562521600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4920, 'ainvs': [0, -1, 0, -21025, 1174177], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39360, 'degree': 73728, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2947964812854267971056315704', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [3921141001609, 24206400], 'lmfdb_iso': '39360.bh', 'lmfdb_label': '39360.bh3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -329, 2252], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '40.24.0-40.a.1.4', '984.24.0.?', '2460.24.0.?', '4920.48.0.?'], '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': '3.4619859803947303503996193590', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 13120], [5, 6, 7872], [41, 42, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25507571044550883297978338821', 'prec': 103}, 'szpiro_ratio': 3.919855590330993, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 262027
    {'Ciso': '39360r', 'Clabel': '39360r1', 'Cnumber': 1, 'abc_quality': 0.9965127199539703, 'absD': 660351221760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4920, 'ainvs': [0, -1, 0, -545, 39585], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 39360, 'degree': 36864, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94822289100545414239701550968', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 4], 'jinv': [-68417929, 2519040], 'lmfdb_iso': '39360.bh', 'lmfdb_label': '39360.bh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -9, 76], '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.1.5', '40.24.0-40.bb.1.5', '984.24.0.?', '1230.6.0.?', '2460.12.0.?', '4920.48.0.?'], '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': '6.9239719607894607007992387180', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 615], [3, 4, 13120], [5, 6, 7872], [41, 42, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.091497879834463821728832672507', 'prec': 110}, 'szpiro_ratio': 3.2783266975189287, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}