Elliptic curve isogeny class data - 436800.po

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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, 1, 0, 0, 0, 1, 0, 1, 0, -4, 0, -1, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, 1, 0, 1, -4, -1, -6, -8, 4, 2, -4, 10, -2, 8, -8, 6, -8, 10, -12, -8, -6, 8, -4, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 436800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '436800.po', 'trace_hash': 1670845117848657346}
• lmfdb_iso 436800.po 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: 2698356
    {'Ciso': '436800po', 'Clabel': '436800po4', 'Cnumber': 4, 'abc_quality': 0.9536815956308902, 'absD': 2096640000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -6989633, -7114951137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 436800, 'degree': 12582912, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4079200123486021045189890138', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 404, 'isogeny_degrees': [1, 2, 4], 'jinv': [9219915604149769, 511875], 'lmfdb_iso': '436800.po', 'lmfdb_label': '436800.po1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4369, -111499], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '280.24.0.?', '364.12.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4160518737951358402351390135', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2275], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56348028529163395309276116500', 'prec': 103}, 'szpiro_ratio': 4.534717242535913, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2698354
    {'Ciso': '436800po', 'Clabel': '436800po2', 'Cnumber': 2, 'abc_quality': 0.8999013684925565, 'absD': 68685926400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -437633, -110863137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 436800, 'degree': 6291456, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0613464220686294498103729531', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 404, 'isogeny_degrees': [1, 2], 'jinv': [2263054145689, 16769025], 'lmfdb_iso': '436800.po', 'lmfdb_label': '436800.po2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -274, -1753], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '140.12.0.?', '260.12.0.?', '280.24.0.?', '364.12.0.?', '520.24.0.?', '728.24.0.?', '1820.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7080259368975679201175695067', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21690669501166129838414510430', 'prec': 103}, 'szpiro_ratio': 3.8946727203509277, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2698355
    {'Ciso': '436800po', 'Clabel': '436800po3', 'Cnumber': 3, 'abc_quality': 0.9573510240464985, 'absD': 26864047042560000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -157633, -250583137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 436800, 'degree': 12582912, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4079200123486021045189890139', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 404, 'isogeny_degrees': [1, 2, 4], 'jinv': [-105756712489, 6558605235], 'lmfdb_iso': '436800.po', 'lmfdb_label': '436800.po3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -99, -3923], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '70.6.0.a.1', '140.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4160518737951358402351390135', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 175], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56348028529163395309276116510', 'prec': 103}, 'szpiro_ratio': 4.019434929895527, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2698353
    {'Ciso': '436800po', 'Clabel': '436800po1', 'Cnumber': 1, 'abc_quality': 1.0367988511083188, 'absD': 5753180160000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -45633, 856863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 436800, 'degree': 3145728, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7147728317886567951017568924', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 404, 'isogeny_degrees': [1, 2, 4], 'jinv': [2565726409, 1404585], 'lmfdb_iso': '436800.po', 'lmfdb_label': '436800.po4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -29, 11], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '130.6.0.?', '260.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3540129684487839600587847534', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 325], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12966689526831135632447095640', 'prec': 107}, 'szpiro_ratio': 3.372449847144038, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}