Elliptic curve isogeny class data - 58800.fd

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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, 0, 0, 0, 0, 1, 0, 6, 0, 2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, -1, 0, 0, 6, 2, 0, -4, -6, 6, 8, -2, -12, -4, -12, 6, 0, 10, 8, -6, -10, 4, 12, -12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 58800, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '58800.fd', 'trace_hash': 1546746255390614725}
• ec_padic •

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

  
  
  • id: 2984296
    {'lmfdb_iso': '58800.fd', 'p': 11, 'prec': 20, 'unit': 54427332707129501846, 'val': 1}
  • id: 2984302
    {'lmfdb_iso': '58800.fd', 'p': 13, 'prec': 20, 'unit': 1060388052050127689730, 'val': 1}
  • id: 2984304
    {'lmfdb_iso': '58800.fd', 'p': 19, 'prec': 20, 'unit': 56239685305108704670957, 'val': 2}
  • id: 2984307
    {'lmfdb_iso': '58800.fd', 'p': 23, 'prec': 20, 'unit': 47982551047631063762171708, 'val': 1}
  • id: 2984301
    {'lmfdb_iso': '58800.fd', 'p': 29, 'prec': 20, 'unit': 2578871457170156204433818067, 'val': 1}
  • id: 2984312
    {'lmfdb_iso': '58800.fd', 'p': 31, 'prec': 20, 'unit': 13185983678333901931529499297, 'val': 1}
  • id: 2984297
    {'lmfdb_iso': '58800.fd', 'p': 37, 'prec': 20, 'unit': 446813513703066770454815727519, 'val': 1}
  • id: 2984299
    {'lmfdb_iso': '58800.fd', 'p': 41, 'prec': 20, 'unit': 25614151609596335795828708068, 'val': 2}
  • id: 2984300
    {'lmfdb_iso': '58800.fd', 'p': 43, 'prec': 20, 'unit': 5140825571780274548380665249017, 'val': 1}
  • id: 2984303
    {'lmfdb_iso': '58800.fd', 'p': 47, 'prec': 20, 'unit': 22537046507654449606396908784488, 'val': 1}
  • id: 2984305
    {'lmfdb_iso': '58800.fd', 'p': 53, 'prec': 20, 'unit': 314693241719479885549359848836627, 'val': 1}
  • id: 2984310
    {'lmfdb_iso': '58800.fd', 'p': 61, 'prec': 20, 'unit': 1853019723888892540435080961338775, 'val': 1}
  • id: 2984295
    {'lmfdb_iso': '58800.fd', 'p': 67, 'prec': 20, 'unit': 48413739999170866634797394860614065, 'val': 1}
  • id: 2984298
    {'lmfdb_iso': '58800.fd', 'p': 71, 'prec': 20, 'unit': 128777201367796877597776710093845163, 'val': 1}
  • id: 2984306
    {'lmfdb_iso': '58800.fd', 'p': 73, 'prec': 20, 'unit': 110024071420924829866434602018109460, 'val': 1}
  • id: 2984309
    {'lmfdb_iso': '58800.fd', 'p': 79, 'prec': 20, 'unit': 1047401502965064598543678587683677527, 'val': 1}
  • id: 2984311
    {'lmfdb_iso': '58800.fd', 'p': 83, 'prec': 20, 'unit': 1208495855428759173069214856324726318, 'val': 1}
  • id: 2984308
    {'lmfdb_iso': '58800.fd', 'p': 89, 'prec': 20, 'unit': 8925270180453175068525042780852374090, 'val': 1}
  • id: 2984294
    {'lmfdb_iso': '58800.fd', 'p': 97, 'prec': 20, 'unit': 38694081277546322270378554799169321144, '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: 389831
    {'Ciso': '58800ge', 'Clabel': '58800ge4', 'Cnumber': 4, 'abc_quality': 1.0224533031136658, 'absD': 1452729852000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, -1, 0, -2239708, -1289387588], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 995328, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1924829931960327434428249768', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 133, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2640279346000, 3087], 'lmfdb_iso': '58800.fd', 'lmfdb_label': '58800.fd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1828, -30700], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '28.6.0.a.1', '30.24.0-6.a.1.4', '60.48.0-12.j.1.6', '84.48.1.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.870530589430611380652136270', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 19600], [5, 14, 2352], [7, 32, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047289157921970969355052475843', 'prec': 110}, 'szpiro_ratio': 5.0518750064223745, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389830
    {'Ciso': '58800ge', 'Clabel': '58800ge3', 'Cnumber': 3, 'abc_quality': 1.0728576630678985, 'absD': 10380965400750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, -1, 0, -138833, -20459088], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 497664, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8459094029160600887342089161', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 133, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-10061824000, 352947], 'lmfdb_iso': '58800.fd', 'lmfdb_label': '58800.fd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -113, -516], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '28.6.0.b.1', '60.48.0-6.b.1.6', '84.48.1.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '23.741061178861222761304272540', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 19600], [5, 14, 2352], [7, 32, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16281368801529518759125782939', 'prec': 107}, 'szpiro_ratio': 4.297576208267193, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389829
    {'Ciso': '58800ge', 'Clabel': '58800ge2', 'Cnumber': 2, 'abc_quality': 0.9724335123602292, 'absD': 2401451388000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, -1, 0, -34708, -785588], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6431768488619778977452023583', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 133, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9826000, 5103], 'lmfdb_iso': '58800.fd', 'lmfdb_label': '58800.fd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -28, -28], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '28.6.0.a.1', '30.24.0-6.a.1.3', '60.48.0-12.j.1.8', '84.48.1.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9568435298102037935507120899', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1225], [3, 4, 19600], [5, 14, 2352], [7, 32, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59659530225602581505267509434', 'prec': 107}, 'szpiro_ratio': 3.9135140113915865, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 389828
    {'Ciso': '58800ge', 'Clabel': '58800ge1', 'Cnumber': 1, 'abc_quality': 1.1084282779180015, 'absD': 38912406750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, -1, 0, 8167, -99588], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 58800, 'degree': 165888, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2966032585820052430365862976', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 133, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2048000, 1323], 'lmfdb_iso': '58800.fd', 'lmfdb_label': '58800.fd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 7, 0], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '28.6.0.b.1', '60.48.0-6.b.1.5', '84.48.1.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9136870596204075871014241799', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 19600], [5, 14, 2352], [7, 32, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71211983234935003328888044789', 'prec': 107}, 'szpiro_ratio': 3.518249250131462, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}