Elliptic curve isogeny class data - 44100.dt

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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, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 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': 44100, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '44100.dt', 'trace_hash': 579604533378408320}
• lmfdb_iso 44100.dt does not appear in ec_padic
• 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: 293458
    {'Ciso': '44100cn', 'Clabel': '44100cn4', 'Cnumber': 4, 'abc_quality': 1.0224533031136658, 'absD': 1059040062108000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, -20157375, -34833622250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 44100, 'degree': 1990656, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7417891375300875891404475952', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2640279346000, 3087], 'lmfdb_iso': '44100.dt', 'lmfdb_label': '44100.dt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1828, -30700], 'min_quad_twist_disc': 105, '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', '60.48.0-12.j.1.7', '84.48.1.?', '105.8.0.?', '210.24.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 8, 4900], [5, 14, 1764], [7, 32, 900]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047289157921970969355052475899', 'prec': 110}, 'szpiro_ratio': 5.804151593101016, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 293457
    {'Ciso': '44100cn', 'Clabel': '44100cn3', 'Cnumber': 3, 'abc_quality': 1.0728576630678985, 'absD': 7567723777146750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, -1249500, -553644875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 44100, 'degree': 995328, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3952155472501149344318315345', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-10061824000, 352947], 'lmfdb_iso': '44100.dt', 'lmfdb_label': '44100.dt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -113, -516], 'min_quad_twist_disc': 105, '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.1.4', '84.48.1.?', '105.8.0.?', '210.48.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 8, 4900], [5, 14, 1764], [7, 32, 900]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16281368801529518759125782945', 'prec': 107}, 'szpiro_ratio': 5.029561615064509, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 293456
    {'Ciso': '44100cn', 'Clabel': '44100cn2', 'Cnumber': 2, 'abc_quality': 0.9724335123602292, 'absD': 1750658061852000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, -312375, -21523250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 44100, 'degree': 663552, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1924829931960327434428249768', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9826000, 5103], 'lmfdb_iso': '44100.dt', 'lmfdb_label': '44100.dt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -28, -28], 'min_quad_twist_disc': 105, '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', '60.48.0-12.j.1.5', '84.48.1.?', '105.8.0.?', '210.24.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 2, 4900], [5, 14, 1764], [7, 32, 900]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59659530225602581505267509430', 'prec': 107}, 'szpiro_ratio': 4.63516786901836, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 293455
    {'Ciso': '44100cn', 'Clabel': '44100cn1', 'Cnumber': 1, 'abc_quality': 1.1084282779180015, 'absD': 28367144520750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, 73500, -2615375], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 44100, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8459094029160600887342089161', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2048000, 1323], 'lmfdb_iso': '44100.dt', 'lmfdb_label': '44100.dt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 7, 0], 'min_quad_twist_disc': 105, '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.1.3', '84.48.1.?', '105.8.0.?', '210.48.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 2, 4900], [5, 14, 1764], [7, 32, 900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71211983234935003328888044785', 'prec': 107}, 'szpiro_ratio': 4.229270201553037, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}