Elliptic curve isogeny class data - 363888.dq

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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, 2, 0, -1, 0, 0, 0, -4, 0, 2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 2, -1, -4, 2, 2, 0, -4, 2, 4, 6, -10, 4, -8, 10, -12, -2, -8, 16, 10, -8, 0, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 363888, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '363888.dq', 'trace_hash': 23261230704169827}
• lmfdb_iso 363888.dq 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: 2269510
    {'Ciso': '363888dq', 'Clabel': '363888dq4', 'Cnumber': 4, 'abc_quality': 1.0038346664696574, 'absD': 62281318077191915347968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -943588659, -11156344865678], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363888, 'degree': 88473600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6899745768444824960085279199', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 94, 'isogeny_degrees': [1, 2, 4], 'jinv': [661397832743623417, 443352042], 'lmfdb_iso': '363888.dq', 'lmfdb_label': '363888.dq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -18152, 939764], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '56.12.0-4.c.1.6', '76.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], '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, 22743], [3, 8, 40432], [7, 8, 51984], [19, 200, 1008]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97530176236726211088915946404', 'prec': 103}, 'szpiro_ratio': 5.748652640790041, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2269508
    {'Ciso': '363888dq', 'Clabel': '363888dq2', 'Cnumber': 2, 'abc_quality': 0.9645232182486525, 'absD': 586928099996140986187776, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -59340819, -172041347630], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363888, 'degree': 44236800, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3434009865645098412999118592', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 94, 'isogeny_degrees': [1, 2], 'jinv': [164503536215257, 4178071044], 'lmfdb_iso': '363888.dq', 'lmfdb_label': '363888.dq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1142, 14420], 'min_quad_twist_disc': -228, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '56.12.0-2.a.1.2', '76.12.0.?', '168.24.0.?', '228.24.0.?', '1064.24.0.?', '3192.48.0.?'], '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, 3249], [3, 8, 40432], [7, 8, 51984], [19, 200, 1008]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62872817208728945618054340334', 'prec': 103}, 'szpiro_ratio': 5.100512298716139, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2269507
    {'Ciso': '363888dq', 'Clabel': '363888dq1', 'Cnumber': 1, 'abc_quality': 0.9415397556777783, 'absD': 24916159324072695103488, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -8396499, 5479229842], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363888, 'degree': 22118400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9968273962845371865912957984', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 94, 'isogeny_degrees': [1, 2, 4], 'jinv': [466025146777, 177366672], 'lmfdb_iso': '363888.dq', 'lmfdb_label': '363888.dq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -162, -476], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.6', '76.12.0.?', '114.6.0.?', '168.24.0.?', '228.24.0.?', '1064.24.0.?', '3192.48.0.?'], '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, 3249], [3, 8, 40432], [7, 8, 51984], [19, 200, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28215458180731680147192734254', 'prec': 103}, 'szpiro_ratio': 4.642360766814125, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2269509
    {'Ciso': '363888dq', 'Clabel': '363888dq3', 'Cnumber': 3, 'abc_quality': 1.0514505724300596, 'absD': 130291418709293718396248064, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, 9797901, -549054787790], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363888, 'degree': 88473600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6899745768444824960085279199', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 94, 'isogeny_degrees': [1, 2, 4], 'jinv': [740480746823, 927484650666], 'lmfdb_iso': '363888.dq', 'lmfdb_label': '363888.dq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 188, 46340], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '56.12.0-4.c.1.6', '152.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], '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, 22743], [3, 8, 40432], [7, 8, 51984], [19, 200, 1008]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97530176236726211088915946404', 'prec': 103}, 'szpiro_ratio': 5.2782645494160425, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}