Elliptic curve isogeny class data - 22320.bm

Formats: - HTML - YAML - JSON - 2024-04-28T09:13:24.651181

• 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, 1, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 1, 0, -4, 6, -2, 4, -4, -2, 1, -2, 6, 4, 0, -2, -4, -6, -16, -12, -6, 16, -12, 18, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 22320, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '22320.bm', 'trace_hash': 775867092641651676}
• ec_padic •

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

  
  
  • id: 1050179
    {'lmfdb_iso': '22320.bm', 'p': 11, 'prec': 20, 'unit': 3165930821513644870, 'val': 2}
  • id: 1050177
    {'lmfdb_iso': '22320.bm', 'p': 13, 'prec': 20, 'unit': 594026734098412385631, 'val': 1}
  • id: 1050180
    {'lmfdb_iso': '22320.bm', 'p': 17, 'prec': 20, 'unit': 161249150772634605486785, 'val': 1}
  • id: 1050181
    {'lmfdb_iso': '22320.bm', 'p': 19, 'prec': 20, 'unit': 569962126760300003469960, 'val': 1}
  • id: 1050184
    {'lmfdb_iso': '22320.bm', 'p': 23, 'prec': 20, 'unit': 48980197601613736430754359, 'val': 1}
  • id: 1050176
    {'lmfdb_iso': '22320.bm', 'p': 29, 'prec': 20, 'unit': 2321834631271484081407531293, 'val': 1}
  • id: 1050172
    {'lmfdb_iso': '22320.bm', 'p': 37, 'prec': 20, 'unit': 142155471946988783215417296863, 'val': 1}
  • id: 1050174
    {'lmfdb_iso': '22320.bm', 'p': 41, 'prec': 20, 'unit': 918339162026263368317871146780, 'val': 1}
  • id: 1050175
    {'lmfdb_iso': '22320.bm', 'p': 43, 'prec': 20, 'unit': 5254463535423105975074611516091, 'val': 1}
  • id: 1050182
    {'lmfdb_iso': '22320.bm', 'p': 53, 'prec': 20, 'unit': 331319496037313724048769982746310, 'val': 1}
  • id: 1050186
    {'lmfdb_iso': '22320.bm', 'p': 59, 'prec': 20, 'unit': 2845842887779732603049428617117761, 'val': 1}
  • id: 1050187
    {'lmfdb_iso': '22320.bm', 'p': 61, 'prec': 20, 'unit': 6967488703695687501895207539849969, 'val': 1}
  • id: 1050171
    {'lmfdb_iso': '22320.bm', 'p': 67, 'prec': 20, 'unit': 35194076773622432630836633197310181, 'val': 1}
  • id: 1050173
    {'lmfdb_iso': '22320.bm', 'p': 71, 'prec': 20, 'unit': 79393614896846854116222075326718911, 'val': 1}
  • id: 1050183
    {'lmfdb_iso': '22320.bm', 'p': 73, 'prec': 20, 'unit': 226504994172295051375402987357016604, 'val': 1}
  • id: 1050178
    {'lmfdb_iso': '22320.bm', 'p': 79, 'prec': 20, 'unit': 919734908868794809649904060017410636, 'val': 1}
  • id: 1050170
    {'lmfdb_iso': '22320.bm', 'p': 83, 'prec': 20, 'unit': 1787799355837389649922253356894475381, 'val': 1}
  • id: 1050185
    {'lmfdb_iso': '22320.bm', 'p': 89, 'prec': 20, 'unit': 5015071590635919496279692959381722193, 'val': 1}
  • id: 1050169
    {'lmfdb_iso': '22320.bm', 'p': 97, 'prec': 20, 'unit': 28968033446768331635376566776084576912, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 148201
    {'Ciso': '22320cb', 'Clabel': '22320cb4', 'Cnumber': 4, 'abc_quality': 1.1107656438024482, 'absD': 1967724160450560, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 0, 0, -954507, 358929466], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22320, 'degree': 221184, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0541805973769808719085714686', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [32208729120020809, 658986840], 'lmfdb_iso': '22320.bm', 'lmfdb_label': '22320.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6628, 204952], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.bb.1.6', '1240.24.0.?', '1860.12.0.?', '3720.48.0.?'], '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': '6.6448193699416243425188561123', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81172727248298071679371672868', 'prec': 103}, 'szpiro_ratio': 5.285048812275987, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 148199
    {'Ciso': '22320cb', 'Clabel': '22320cb2', 'Cnumber': 2, 'abc_quality': 0.9447167741422834, 'absD': 3347020519833600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 0, 0, -61707, 5202106], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22320, 'degree': 110592, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7076070070970082171999554078', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2], 'jinv': [8702409880009, 1120910400], 'lmfdb_iso': '22320.bm', 'lmfdb_label': '22320.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -428, 2832], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.a.1.1', '1240.24.0.?', '1860.24.0.?', '3720.48.0.?'], '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': '3.3224096849708121712594280561', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46515368220300806208510066788', 'prec': 103}, 'szpiro_ratio': 4.464495814462935, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 148198
    {'Ciso': '22320cb', 'Clabel': '22320cb1', 'Cnumber': 1, 'abc_quality': 0.9132598439927675, 'absD': 51185021091840, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 0, 0, -15627, -668486], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22320, 'degree': 55296, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3610334168170355624913393471', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [141339344329, 17141760], 'lmfdb_iso': '22320.bm', 'lmfdb_label': '22320.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -108, -432], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.bb.1.12', '930.6.0.?', '1240.24.0.?', '1860.24.0.?', '3720.48.0.?'], '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': '6.6448193699416243425188561123', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11858009192303540737648460718', 'prec': 103}, 'szpiro_ratio': 4.0530213846809025, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 148200
    {'Ciso': '22320cb', 'Clabel': '22320cb3', 'Cnumber': 3, 'abc_quality': 0.9819332132129145, 'absD': 372278555504640000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 0, 0, 93813, 27192634], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22320, 'degree': 221184, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0541805973769808719085714686', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [30579142915511, 124675335000], 'lmfdb_iso': '22320.bm', 'lmfdb_label': '22320.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 652, 16008], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.v.1.2', '1240.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6612048424854060856297140281', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81172727248298071679371672868', 'prec': 103}, 'szpiro_ratio': 4.769691574552504, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}