Elliptic curve isogeny class data - 46569.c

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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, 2, 1, 0, 3, 1, -2, 0, 1, 2, 0, -2, -1, -6, -1, 0, -2], 'aplist': [-1, -1, 2, 0, 0, 2, -6, 0, -4, 6, -8, -6, -2, -1, 4, 2, 0, 14, -12, -8, 2, 8, 0, -14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 46569, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '46569.c', 'trace_hash': 2141252464105491205}
• lmfdb_iso 46569.c 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 309817
    {'Ciso': '46569c', 'Clabel': '46569c4', 'Cnumber': 4, 'abc_quality': 1.0580583409717772, 'absD': 1075090731914403, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19608, 'ainvs': [1, 1, 1, -88272, -10007202], 'analytic_rank': 0, 'bad_primes': [3, 19, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 46569, 'degree': 207360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6890464036690963447168131758', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [1616855892553, 22851963], 'lmfdb_iso': '46569.c', 'lmfdb_label': '46569.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -245, 1433], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '76.12.0.?', '172.12.0.?', '456.24.0.?', '1032.24.0.?', '3268.24.0.?', '19608.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 15523], [3, 4, 15523], [19, 182, 129], [43, 44, 1083]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21682691408587611471229945986', 'prec': 103}, 'szpiro_ratio': 4.258950337445858, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 309815
    {'Ciso': '46569c', 'Clabel': '46569c2', 'Cnumber': 2, 'abc_quality': 0.9531022714427504, 'absD': 63414130963401, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9804, 'ainvs': [1, 1, 1, -10657, 175886], 'analytic_rank': 0, 'bad_primes': [3, 19, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 46569, 'degree': 103680, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3424728133891236900081971151', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [2845178713, 1347921], 'lmfdb_iso': '46569.c', 'lmfdb_label': '46569.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -30, -29], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '76.12.0.?', '172.12.0.?', '228.24.0.?', '516.24.0.?', '3268.24.0.?', '9804.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 361], [3, 4, 15523], [19, 182, 129], [43, 44, 1083]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12974667619409653999631660084', 'prec': 107}, 'szpiro_ratio': 3.6688679516659484, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 309814
    {'Ciso': '46569c', 'Clabel': '46569c1', 'Cnumber': 1, 'abc_quality': 0.9131702373502987, 'absD': 54620267841, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19608, 'ainvs': [1, 1, 1, -8852, 316676], 'analytic_rank': 0, 'bad_primes': [3, 19, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 46569, 'degree': 51840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99589922310915103529958105436', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [1630532233, 1161], 'lmfdb_iso': '46569.c', 'lmfdb_label': '46569.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -25, -49], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '152.12.0.?', '228.12.0.?', '258.6.0.?', '344.12.0.?', '456.24.0.?', '516.12.0.?', '1032.24.0.?', '3268.12.0.?', '6536.24.0.?', '9804.24.0.?', '19608.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 15523], [19, 182, 129], [43, 44, 1083]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47632026647406919470493266158', 'prec': 107}, 'szpiro_ratio': 3.6170737908420945, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 309816
    {'Ciso': '46569c', 'Clabel': '46569c3', 'Cnumber': 3, 'abc_quality': 0.9868055343303582, 'absD': 4342693635234387, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19608, 'ainvs': [1, 1, 1, 38078, 1384514], 'analytic_rank': 0, 'bad_primes': [3, 19, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 46569, 'degree': 207360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6890464036690963447168131758', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [129784785047, 92307627], 'lmfdb_iso': '46569.c', 'lmfdb_label': '46569.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 105, -191], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '76.12.0.?', '228.24.0.?', '344.12.0.?', '1032.24.0.?', '6536.24.0.?', '19608.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1083], [3, 4, 15523], [19, 182, 129], [43, 44, 1083]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21682691408587611471229945986', 'prec': 103}, 'szpiro_ratio': 4.024283501647425, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}