Elliptic curve isogeny class data - 55440.de

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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, 1, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 1, -1, -1, 2, 6, 4, -8, 6, -4, 2, 6, -12, 0, -2, 4, -2, 8, -8, 2, -12, -8, -18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 55440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '55440.de', 'trace_hash': 874830303335259752}
• ec_padic •

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

  
  
  • id: 2804202
    {'lmfdb_iso': '55440.de', 'p': 13, 'prec': 20, 'unit': 623165909288229137588, 'val': 1}
  • id: 2804204
    {'lmfdb_iso': '55440.de', 'p': 17, 'prec': 20, 'unit': 182544759000063197429929, 'val': 1}
  • id: 2804194
    {'lmfdb_iso': '55440.de', 'p': 19, 'prec': 20, 'unit': 1927302443476942736965436, 'val': 1}
  • id: 2804208
    {'lmfdb_iso': '55440.de', 'p': 23, 'prec': 20, 'unit': 67802668880389451311623140, 'val': 1}
  • id: 2804201
    {'lmfdb_iso': '55440.de', 'p': 29, 'prec': 20, 'unit': 2941837769300821545622771757, 'val': 1}
  • id: 2804212
    {'lmfdb_iso': '55440.de', 'p': 31, 'prec': 20, 'unit': 20818389731771837423393059313, 'val': 1}
  • id: 2804197
    {'lmfdb_iso': '55440.de', 'p': 37, 'prec': 20, 'unit': 254148695724941494713925130417, 'val': 1}
  • id: 2804199
    {'lmfdb_iso': '55440.de', 'p': 41, 'prec': 20, 'unit': 4229847963631122481064518697867, 'val': 1}
  • id: 2804200
    {'lmfdb_iso': '55440.de', 'p': 43, 'prec': 20, 'unit': 8481458531069254290656324667821, 'val': 1}
  • id: 2804206
    {'lmfdb_iso': '55440.de', 'p': 53, 'prec': 20, 'unit': 245602116315912583647930613155756, 'val': 1}
  • id: 2804210
    {'lmfdb_iso': '55440.de', 'p': 59, 'prec': 20, 'unit': 2980514801084225835496147617709847, 'val': 1}
  • id: 2804211
    {'lmfdb_iso': '55440.de', 'p': 61, 'prec': 20, 'unit': 1012327227755790620678963458592710, 'val': 1}
  • id: 2804196
    {'lmfdb_iso': '55440.de', 'p': 67, 'prec': 20, 'unit': 47678435750835167074495254099284187, 'val': 1}
  • id: 2804198
    {'lmfdb_iso': '55440.de', 'p': 71, 'prec': 20, 'unit': 18009765739673718753872224095912706, 'val': 1}
  • id: 2804207
    {'lmfdb_iso': '55440.de', 'p': 73, 'prec': 20, 'unit': 209176902772318763968928287733085507, 'val': 1}
  • id: 2804203
    {'lmfdb_iso': '55440.de', 'p': 79, 'prec': 20, 'unit': 774343267169756333338110153115834599, 'val': 1}
  • id: 2804205
    {'lmfdb_iso': '55440.de', 'p': 83, 'prec': 20, 'unit': 2477829205808195591093409070475478599, 'val': 1}
  • id: 2804209
    {'lmfdb_iso': '55440.de', 'p': 89, 'prec': 20, 'unit': 240469081132725702458915658691743681, 'val': 1}
  • id: 2804195
    {'lmfdb_iso': '55440.de', 'p': 97, 'prec': 20, 'unit': 19059628870871487998697230566091165100, '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: 367759
    {'Ciso': '55440bb', 'Clabel': '55440bb4', 'Cnumber': 4, 'abc_quality': 1.023684143860524, 'absD': 43514038476562500000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -146652267, -605423261126], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55440, 'degree': 15728640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6492468701402697369770859944', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [233632133015204766393938, 29145526885986328125], 'lmfdb_iso': '55440.de', 'lmfdb_label': '55440.de1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -16294696, -22417652180], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '40.12.0.y.1', '120.24.0.?', '616.12.0.?', '924.12.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9365891051197946001556907169', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4645558102929316909803339313', 'prec': 100}, 'szpiro_ratio': 6.2275908427832505, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 367757
    {'Ciso': '55440bb', 'Clabel': '55440bb2', 'Cnumber': 2, 'abc_quality': 1.0110672888392913, 'absD': 680880939056010000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -36631587, 75538735666], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55440, 'degree': 7864320, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3026732798602970822684699336', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2], 'jinv': [7282213870869695463556, 912102595400390625], 'lmfdb_iso': '55440.de', 'lmfdb_label': '55440.de2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4070176, 2799087676], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0-2.a.1.1', '40.12.0.b.1', '60.12.0-2.a.1.1', '120.24.0.?', '616.12.0.?', '924.12.0.?', '1540.12.0.?', '1848.24.0.?', '3080.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9682945525598973000778453584', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1757444850596211453898205473', 'prec': 100}, 'szpiro_ratio': 5.846611397364244, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 367756
    {'Ciso': '55440bb', 'Clabel': '55440bb1', 'Cnumber': 1, 'abc_quality': 1.0082037341923265, 'absD': 94720590323805600000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -35450607, 81241215694], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55440, 'degree': 3932160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9560996895803244275598538729', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [26401417552259125806544, 507547744790625], 'lmfdb_iso': '55440.de', 'lmfdb_label': '55440.de3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3938956, 3010246900], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '40.12.0.y.1', '60.12.0-4.c.1.1', '120.24.0.?', '616.12.0.?', '770.6.0.?', '924.12.0.?', '1540.12.0.?', '1848.24.0.?', '3080.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9365891051197946001556907169', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9446954248729727089174098401', 'prec': 100}, 'szpiro_ratio': 5.83761102506341, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 367758
    {'Ciso': '55440bb', 'Clabel': '55440bb3', 'Cnumber': 3, 'abc_quality': 1.0334030036012496, 'absD': 76584299089217287737600000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, 54493413, 391542010666], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55440, 'degree': 15728640, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6492468701402697369770859944', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [11986661998777424518222, 51295853620928503125], 'lmfdb_iso': '55440.de', 'lmfdb_label': '55440.de4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 6054824, 14499537676], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '40.12.0.s.1', '60.12.0-4.c.1.2', '120.24.0.?', '616.12.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9365891051197946001556907169', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4645558102929316909803339313', 'prec': 100}, 'szpiro_ratio': 6.125562201818932, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}