Elliptic curve isogeny class data - 19950.cn

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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, -1, 1, 0, -1, 1, 1, 1, 0, 4, -1, 2, 1, 0, 1, 2, 1, 1, 0], 'aplist': [1, -1, 0, 1, 4, 2, 2, 1, 8, 6, 0, 10, -2, 8, 0, -2, 0, -2, -4, 0, 6, 0, -12, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 19950, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '19950.cn', 'trace_hash': 411663883940265915}
• lmfdb_iso 19950.cn 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: 132300
    {'Ciso': '19950ce', 'Clabel': '19950ce4', 'Cnumber': 4, 'abc_quality': 1.0155441932694813, 'absD': 18714435621328125000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, 1, 1, -44354463, 113679662781], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19950, 'degree': 1548288, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9514050962905617884940775173', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [617611911727813844500009, 1197723879765000], 'lmfdb_iso': '19950.cn', 'lmfdb_label': '19950.cn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1774179, 909437302], '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', '60.12.0-4.c.1.1', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1425], [3, 4, 3325], [5, 18, 798], [7, 8, 950], [19, 20, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1466861400735116011936978507', 'prec': 100}, 'szpiro_ratio': 6.508117977428582, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 132299
    {'Ciso': '19950ce', 'Clabel': '19950ce3', 'Cnumber': 3, 'abc_quality': 1.0060076842610897, 'absD': 13311433609730431875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, 1, 1, -7456463, -5535229219], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19950, 'degree': 1548288, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9514050962905617884940775173', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [2934284984699764805929, 851931751022747640], 'lmfdb_iso': '19950.cn', 'lmfdb_label': '19950.cn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -298259, -44281834], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 475], [3, 4, 3325], [5, 18, 798], [7, 8, 950], [19, 20, 1050]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1466861400735116011936978507', 'prec': 100}, 'szpiro_ratio': 5.96782862329253, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 132298
    {'Ciso': '19950ce', 'Clabel': '19950ce2', 'Cnumber': 2, 'abc_quality': 0.9892697362704403, 'absD': 103642274835225000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, 1, 1, -2801463, 1735880781], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19950, 'degree': 774144, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6048315060105891337854614566', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2], 'jinv': [155617476551393929129, 6633105589454400], 'lmfdb_iso': '19950.cn', 'lmfdb_label': '19950.cn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -112059, 13887046], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '60.24.0-60.b.1.1', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 3325], [5, 18, 798], [7, 8, 950], [19, 20, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8001125497935389464850817900', 'prec': 100}, 'szpiro_ratio': 5.671209818746188, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 132297
    {'Ciso': '19950ce', 'Clabel': '19950ce1', 'Cnumber': 1, 'abc_quality': 1.001557491152603, 'absD': 4468988583360000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, 1, 1, 86537, 101272781], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19950, 'degree': 387072, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2582579157306164790768453958', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [4586790226340951, 286015269335040], 'lmfdb_iso': '19950.cn', 'lmfdb_label': '19950.cn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3461, 810182], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '30.6.0.a.1', '60.24.0-60.g.1.3', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 3325], [5, 18, 798], [7, 8, 950], [19, 20, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4535389595135662917764657292', 'prec': 100}, 'szpiro_ratio': 5.08930098857568, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}