Elliptic curve isogeny class data - 24640.q

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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, -3, 0, -1, 0, 2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, -1, -1, -1, 2, 2, 0, 4, -2, -8, -2, 6, 12, 0, -10, -4, 2, 12, -8, -6, -4, -12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 24640, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '24640.q', 'trace_hash': 2018104118994314901}
• lmfdb_iso 24640.q 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: 163484
    {'Ciso': '24640z', 'Clabel': '24640z4', 'Cnumber': 4, 'abc_quality': 0.9590385905383163, 'absD': 50462720, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 0, 0, -65708, -6482992], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 24640, 'degree': 32768, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1713106510012770526023037615', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [239369344910082, 385], 'lmfdb_iso': '24640.q', 'lmfdb_label': '24640.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -16427, 810374], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '28.12.0-4.c.1.2', '56.24.0-56.y.1.1', '440.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 385], [5, 6, 4928], [7, 8, 3520], [11, 12, 2240]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18935214520802119759455825610', 'prec': 103}, 'szpiro_ratio': 4.439474850943468, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 163483
    {'Ciso': '24640z', 'Clabel': '24640z3', 'Cnumber': 3, 'abc_quality': 0.9447685706248564, 'absD': 8395735040000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 0, 0, -5228, -41648], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 24640, 'degree': 32768, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1713106510012770526023037615', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [120564797922, 64054375], 'lmfdb_iso': '24640.q', 'lmfdb_label': '24640.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1307, 5206], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '28.12.0-4.c.1.1', '56.24.0-56.s.1.2', '440.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7], [5, 6, 4928], [7, 8, 3520], [11, 12, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18935214520802119759455825610', 'prec': 103}, 'szpiro_ratio': 3.6885372785552515, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 163482
    {'Ciso': '24640z', 'Clabel': '24640z2', 'Cnumber': 2, 'abc_quality': 0.9796764673410231, 'absD': 9714073600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 0, 0, -4108, -101232], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 24640, 'degree': 16384, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82473706072130439789368770072', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [116986321764, 148225], 'lmfdb_iso': '24640.q', 'lmfdb_label': '24640.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1027, 12654], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '28.12.0-2.a.1.1', '56.24.0-56.b.1.4', '220.12.0.?', '440.24.0.?', '1540.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 4928], [7, 8, 3520], [11, 12, 2240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.099459180025289347995955127891', 'prec': 110}, 'szpiro_ratio': 3.617011520152474, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 163481
    {'Ciso': '24640z', 'Clabel': '24640z1', 'Cnumber': 1, 'abc_quality': 0.9257260865393532, 'absD': 2163589120, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, 0, 0, -188, -2448], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 24640, 'degree': 8192, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47816347044133174318507163999', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [-44851536, 132055], 'lmfdb_iso': '24640.q', 'lmfdb_label': '24640.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -47, 306], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '56.24.0-56.y.1.6', '110.6.0.?', '220.12.0.?', '440.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 55], [5, 6, 4928], [7, 8, 3520], [11, 12, 2240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33050824021193778446836583504', 'prec': 107}, 'szpiro_ratio': 2.8806205165747256, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}