Elliptic curve isogeny class data - 70560.df

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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, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 1, 0, 0, 2, -6, 0, 4, 2, 8, 6, -6, 12, -12, 10, 8, 10, -12, -8, -10, 16, 12, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 70560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '70560.df', 'trace_hash': 1751386820222104194}
• lmfdb_iso 70560.df 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: 466716
    {'Ciso': '70560bi', 'Clabel': '70560bi4', 'Cnumber': 4, 'abc_quality': 1.0109039721020272, 'absD': 1976051427840, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -211827, 37524886], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70560, 'degree': 294912, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6145806597965130602179593079', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 4], 'jinv': [23937672968, 45], 'lmfdb_iso': '70560.df', 'lmfdb_label': '70560.df1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -480, 4212], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '40.24.0.by.1', '48.24.0.j.1', '80.48.0.?', '84.12.0.?', '112.24.0.?', '168.24.0.?', '240.96.3.?', '336.48.0.?', '560.96.0.?', '840.48.0.?', '1680.192.3.?'], '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, 2205], [3, 8, 7840], [5, 6, 14112], [7, 26, 1440]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42754094448515742009526377338', 'prec': 107}, 'szpiro_ratio': 4.335653028855822, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 466715
    {'Ciso': '70560bi', 'Clabel': '70560bi3', 'Cnumber': 3, 'abc_quality': 0.98174487513138, 'absD': 1440541490895360, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -35427, -1803494], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70560, 'degree': 294912, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6145806597965130602179593079', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 4], 'jinv': [111980168, 32805], 'lmfdb_iso': '70560.df', 'lmfdb_label': '70560.df2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -80, -168], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '40.24.0.by.1', '48.24.0.j.1', '80.48.0.?', '84.12.0.?', '112.24.0.?', '168.24.0.?', '240.96.3.?', '336.48.0.?', '560.96.0.?', '840.48.0.?', '1680.192.3.?'], '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, 2205], [3, 8, 7840], [5, 6, 14112], [7, 26, 1440]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42754094448515742009526377338', 'prec': 107}, 'szpiro_ratio': 3.8551100427169955, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 466713
    {'Ciso': '70560bi', 'Clabel': '70560bi1', 'Cnumber': 1, 'abc_quality': 1.0209883182460326, 'absD': 11115289281600, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -13377, 573496], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70560, 'degree': 147456, 'elladic_images': ['4.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2680070695165404055093432471', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2], 'jinv': [48228544, 2025], 'lmfdb_iso': '70560.df', 'lmfdb_label': '70560.df3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -30, 72], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '24.24.0.j.1', '40.24.0.a.1', '56.24.0-4.a.1.2', '80.48.0.?', '84.24.0.?', '120.48.1.?', '168.48.0.?', '240.96.3.?', '280.48.0.?', '560.96.0.?', '840.96.1.?', '1680.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 7840], [5, 6, 14112], [7, 26, 1440]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60082773962514374744957180381', 'prec': 107}, 'szpiro_ratio': 3.5933978385875296, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 466714
    {'Ciso': '70560bi', 'Clabel': '70560bi2', 'Cnumber': 2, 'abc_quality': 1.1500905082842972, 'absD': 1976051427840000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, 6468, 2129344], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70560, 'degree': 294912, 'elladic_images': ['4.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6145806597965130602179593079', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 4], 'jinv': [85184, 5625], 'lmfdb_iso': '70560.df', 'lmfdb_label': '70560.df4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 15, 225], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '24.24.0.z.1', '40.24.0.bf.1', '56.24.0-4.d.1.4', '80.48.0.?', '84.24.0.?', '120.48.1.?', '168.48.0.?', '240.96.3.?', '280.48.0.?', '560.96.0.?', '840.96.1.?', '1680.192.3.?'], '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, 2, 441], [3, 8, 7840], [5, 6, 14112], [7, 26, 1440]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60082773962514374744957180374', 'prec': 107}, 'szpiro_ratio': 3.8216552127630172, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}