Elliptic curve isogeny class data - 84270.p

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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, -1, -1, 4, -1, 1, 1, 4, 1, 6, -4, -1, 1, -6, -1, 0, -1], 'aplist': [-1, 1, -1, 4, 4, 6, -6, 0, 8, -2, 4, -2, -2, 8, -4, 0, 12, 10, 4, 12, -10, -4, -12, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 84270, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '84270.p', 'trace_hash': 292188755245658773}
• lmfdb_iso 84270.p 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 555012
    {'Ciso': '84270k', 'Clabel': '84270k4', 'Cnumber': 4, 'abc_quality': 0.9899632008550681, 'absD': 616582383077644560, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 12720, 'ainvs': [1, 0, 1, -63525594, -194887057988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84270, 'degree': 11501568, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9402137021617104547789017793', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [1279130011356875761, 27818640], 'lmfdb_iso': '84270.p', 'lmfdb_label': '84270.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -22615, -1318435], 'min_quad_twist_disc': 53, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '20.12.0-4.c.1.1', '40.24.0-8.o.1.6', '48.24.0.j.1', '212.12.0.?', '240.48.0.?', '424.24.0.?', '530.6.0.?', '1060.24.0.?', '2120.96.0.?', '2544.48.0.?', '12720.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95506774538564953770666720979', 'prec': 103}, 'szpiro_ratio': 5.776382220526819, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 555010
    {'Ciso': '84270k', 'Clabel': '84270k2', 'Cnumber': 2, 'abc_quality': 0.9487132300158397, 'absD': 32275423509249542400, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 6360, 'ainvs': [1, 0, 1, -3974794, -3038200708], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84270, 'degree': 5750784, 'elladic_images': ['4.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5936401118817378000702857186', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [313337384670961, 1456185600], 'lmfdb_iso': '84270.p', 'lmfdb_label': '84270.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1415, -20995], 'min_quad_twist_disc': 53, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '20.24.0-4.a.1.2', '24.24.0.j.1', '120.48.0.?', '212.24.0.?', '1060.48.0.?', '1272.48.0.?', '2120.96.0.?', '6360.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60849415510567688299805114909', 'prec': 103}, 'szpiro_ratio': 5.04330422714758, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 555011
    {'Ciso': '84270k', 'Clabel': '84270k3', 'Cnumber': 3, 'abc_quality': 0.9886276783936178, 'absD': 15739872332896174410000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 12720, 'ainvs': [1, 0, 1, -1952314, -6126932164], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84270, 'degree': 11501568, 'elladic_images': ['4.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9402137021617104547789017793', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [-37129335824881, 710143290000], 'lmfdb_iso': '84270.p', 'lmfdb_label': '84270.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -695, -41443], 'min_quad_twist_disc': 53, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '24.24.0.z.1', '40.24.0-4.d.1.3', '120.48.0.?', '212.24.0.?', '1272.48.0.?', '2120.48.0.?', '4240.96.0.?', '6360.96.1.?', '12720.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95506774538564953770666720979', 'prec': 103}, 'szpiro_ratio': 5.166297193430646, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 555009
    {'Ciso': '84270k', 'Clabel': '84270k1', 'Cnumber': 1, 'abc_quality': 0.9792364939887481, 'absD': 3464364116716093440, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 12720, 'ainvs': [1, 0, 1, -379274, 7923836], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 84270, 'degree': 2875392, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2470665216017651453616696578', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [272223782641, 156303360], 'lmfdb_iso': '84270.p', 'lmfdb_label': '84270.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -3], 'min_quad_twist_disc': 53, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '20.12.0-4.c.1.2', '40.24.0-8.o.1.8', '48.24.0.j.1', '212.12.0.?', '240.48.0.?', '424.24.0.?', '530.6.0.?', '1060.24.0.?', '2120.96.0.?', '2544.48.0.?', '12720.192.3.?'], '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, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26192056482570422828943508828', 'prec': 103}, 'szpiro_ratio': 4.421848813115191, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}