Elliptic curve isogeny class data - 22800.cj

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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, 1, 0, 0, 0, -2, 0, 1, 0, -2, 0, -4, 0, 0, 0, 2, 0, 1, 0], 'aplist': [0, 1, 0, -2, -2, -4, 2, 1, 4, 0, 8, -8, -8, -6, -12, 6, 0, 2, 8, 8, -14, 0, 4, 0, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 22800, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '22800.cj', 'trace_hash': 1446501067923395790}
• lmfdb_iso 22800.cj 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: 151378
    {'Ciso': '22800dh', 'Clabel': '22800dh4', 'Cnumber': 4, 'abc_quality': 1.0740941067474734, 'absD': 142623302400000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1140, 'ainvs': [0, 1, 0, -21129378008, 1182158189843988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 13824000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1066952577890334785278654837', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [16300610738133468173382620881, 2228489100], 'lmfdb_iso': '22800.cj', 'lmfdb_label': '22800.cj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52823445, -147775056075], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '20.72.0-10.a.1.7', '60.144.1-60.cj.1.6', '76.6.0.?', '190.72.0.?', '380.144.1.?', '1140.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 475], [3, 4, 7600], [5, 18, 48], [19, 20, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6088291210120379818102536956', 'prec': 100}, 'szpiro_ratio': 8.26501201028264, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 151377
    {'Ciso': '22800dh', 'Clabel': '22800dh3', 'Cnumber': 3, 'abc_quality': 1.057796439598937, 'absD': 94173177719823360000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1140, 'ainvs': [0, 1, 0, -1320586008, 18470895011988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 6912000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7601216675090608238192494230', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-3979640234041473454886161, 1471455901872240], 'lmfdb_iso': '22800.cj', 'lmfdb_label': '22800.cj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3301465, -2309192023], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '20.72.0-10.a.1.7', '30.72.1.i.2', '60.144.1-30.i.2.7', '76.6.0.?', '380.144.1.?', '1140.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 7600], [5, 18, 48], [19, 20, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2622555307320653271016376349', 'prec': 100}, 'szpiro_ratio': 7.4360965003155854, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 151376
    {'Ciso': '22800dh', 'Clabel': '22800dh2', 'Cnumber': 2, 'abc_quality': 1.032281228728047, 'absD': 718035840000000000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1140, 'ainvs': [0, 1, 0, -35178008, 69177443988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 2764800, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3019763015719832912274858171', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [75224183150104868881, 11219310000000000], 'lmfdb_iso': '22800.cj', 'lmfdb_label': '22800.cj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -87945, -8655975], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '20.72.0-10.a.2.7', '60.144.1-60.cj.2.6', '76.6.0.?', '190.72.0.?', '380.144.1.?', '1140.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 475], [3, 4, 7600], [5, 14, 304], [19, 20, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8041101647949877945098740290', 'prec': 100}, 'szpiro_ratio': 6.35221462145688, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 151375
    {'Ciso': '22800dh', 'Clabel': '22800dh1', 'Cnumber': 1, 'abc_quality': 1.0281324592856305, 'absD': 18396846489600000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 1140, 'ainvs': [0, 1, 0, 3733992, 5906531988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 1382400, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9554027112920106365188697564', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [89962967236397039, 287450726400000], 'lmfdb_iso': '22800.cj', 'lmfdb_label': '22800.cj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9335, -737383], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '20.72.0-10.a.2.7', '30.72.1.i.1', '60.144.1-30.i.1.7', '76.6.0.?', '380.144.1.?', '1140.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 7600], [5, 14, 304], [19, 20, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4575365745150151398012579683', 'prec': 100}, 'szpiro_ratio': 5.8320076925692375, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}