Elliptic curve isogeny class data - 275.a

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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, -1, 0, -1, 0, 0, 0, 3, -3, 0, -1, 0, -2, 0, 0, -1, -6, 3, -4, 0], 'aplist': [-1, 0, 0, 0, -1, -2, -6, -4, -4, 6, -8, 2, 2, -4, 12, 2, 4, -10, 16, 8, -14, 8, 4, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 275, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '275.a', 'trace_hash': 161217989908240353}
• ec_padic •

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

  
  
  • id: 2723
    {'lmfdb_iso': '275.a', 'p': 13, 'prec': 20, 'unit': 1126291728239330729250, 'val': 1}
  • id: 2725
    {'lmfdb_iso': '275.a', 'p': 17, 'prec': 20, 'unit': 211215701859629545401121, 'val': 1}
  • id: 2726
    {'lmfdb_iso': '275.a', 'p': 19, 'prec': 20, 'unit': 396423802552825977087858, 'val': 1}
  • id: 2730
    {'lmfdb_iso': '275.a', 'p': 23, 'prec': 20, 'unit': 51167599521647343510161310, 'val': 1}
  • id: 2722
    {'lmfdb_iso': '275.a', 'p': 29, 'prec': 20, 'unit': 1831597592460100793950312897, 'val': 1}
  • id: 2734
    {'lmfdb_iso': '275.a', 'p': 31, 'prec': 20, 'unit': 21141168928157756153981608387, 'val': 1}
  • id: 2718
    {'lmfdb_iso': '275.a', 'p': 37, 'prec': 20, 'unit': 310855361780438099994513197438, 'val': 1}
  • id: 2720
    {'lmfdb_iso': '275.a', 'p': 41, 'prec': 20, 'unit': 3120371680091086457562410295022, 'val': 1}
  • id: 2721
    {'lmfdb_iso': '275.a', 'p': 43, 'prec': 20, 'unit': 8948960138731778663899303612330, 'val': 1}
  • id: 2732
    {'lmfdb_iso': '275.a', 'p': 47, 'prec': 20, 'unit': 15210386388318564994746553103915, 'val': 1}
  • id: 2727
    {'lmfdb_iso': '275.a', 'p': 53, 'prec': 20, 'unit': 121917195610826292075103805133356, 'val': 1}
  • id: 2728
    {'lmfdb_iso': '275.a', 'p': 59, 'prec': 20, 'unit': 3821734023305687113338625239234238, 'val': 1}
  • id: 2733
    {'lmfdb_iso': '275.a', 'p': 61, 'prec': 20, 'unit': 1623688254472073051805656241404443, 'val': 1}
  • id: 2717
    {'lmfdb_iso': '275.a', 'p': 67, 'prec': 20, 'unit': 17435329800343115624852340241709739, 'val': 1}
  • id: 2719
    {'lmfdb_iso': '275.a', 'p': 71, 'prec': 20, 'unit': 81216796435215868508357896539721290, 'val': 1}
  • id: 2729
    {'lmfdb_iso': '275.a', 'p': 73, 'prec': 20, 'unit': 218199332991026766842577208646348497, 'val': 1}
  • id: 2724
    {'lmfdb_iso': '275.a', 'p': 79, 'prec': 20, 'unit': 598143295772279058995444295432495633, 'val': 1}
  • id: 2716
    {'lmfdb_iso': '275.a', 'p': 83, 'prec': 20, 'unit': 2034744318818201055151375512889821901, 'val': 1}
  • id: 2731
    {'lmfdb_iso': '275.a', 'p': 89, 'prec': 20, 'unit': 644756966347566851542669527308515713, 'val': 1}
  • id: 2715
    {'lmfdb_iso': '275.a', 'p': 97, 'prec': 20, 'unit': 45481114684074856781871975812875511091, '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: 1075
    {'Ciso': '275a', 'Clabel': '275a4', 'Cnumber': 4, 'abc_quality': 1.0771710471613196, 'absD': 107421875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [1, -1, 1, -1480, 22272], 'analytic_rank': 1, 'bad_primes': [5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 275, 'degree': 96, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51905347624229128663739225697', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [22930509321, 6875], 'lmfdb_iso': '275.a', 'lmfdb_label': '275.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -59, 190], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '20.12.0-4.c.1.2', '40.24.0-40.z.1.10', '44.12.0.h.1', '88.24.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59612262310663940712038741071', 'prec': 103}, 'semistable': False, 'serre_invariants': [[5, 18, 11], [11, 12, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'szpiro_ratio': 5.966481638194145, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1074
    {'Ciso': '275a', 'Clabel': '275a3', 'Cnumber': 3, 'abc_quality': 0.9459068014464316, 'absD': 1143828125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [1, -1, 1, -730, -7228], 'analytic_rank': 1, 'bad_primes': [5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 275, 'degree': 96, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51905347624229128663739225697', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [2749884201, 73205], 'lmfdb_iso': '275.a', 'lmfdb_label': '275.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -29, -52], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '10.6.0.a.1', '20.24.0-20.g.1.1', '88.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59612262310663940712038741071', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 11], [11, 12, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28566547997475890066298740964', 'prec': 107}, 'szpiro_ratio': 5.588878657821194, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1073
    {'Ciso': '275a', 'Clabel': '275a2', 'Cnumber': 2, 'abc_quality': 1.0555982735754514, 'absD': 47265625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 220, 'ainvs': [1, -1, 1, -105, 272], 'analytic_rank': 1, 'bad_primes': [5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 275, 'degree': 48, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.17247988596231863192877619624', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [8120601, 3025], 'lmfdb_iso': '275.a', 'lmfdb_label': '275.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4, 3], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '20.24.0-20.b.1.2', '44.24.0-44.a.1.3', '220.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1922452462132788142407748214', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 11], [11, 12, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63223907025473155537160347037', 'prec': 107}, 'szpiro_ratio': 4.55182199064569, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1072
    {'Ciso': '275a', 'Clabel': '275a1', 'Cnumber': 1, 'abc_quality': 0.7920712085843463, 'absD': 859375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [1, -1, 1, 20, 22], 'analytic_rank': 1, 'bad_primes': [5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 275, 'degree': 24, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.17409370431765402277983986448', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [59319, 55], 'lmfdb_iso': '275.a', 'lmfdb_label': '275.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 1, 0], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '40.24.0-40.z.1.4', '88.24.0.?', '110.6.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3844904924265576284815496429', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 18, 11], [11, 12, 25]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97881266053470421008021953109', 'prec': 107}, 'szpiro_ratio': 3.676011013083879, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}