Elliptic curve isogeny class data - 471510.r

Formats: - HTML - YAML - JSON - 2024-05-27T01:14:58.810234

• 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, 0, 1, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, -2, 0, 0, -1], 'aplist': [-1, 0, -1, 0, 0, 0, -2, 0, 0, -6, -1, -10, -2, 4, 8, 2, 4, 2, 8, 0, 10, -12, 0, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 471510, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '471510.r', 'trace_hash': 1653139271976490629}
• lmfdb_iso 471510.r 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: 2898179
    {'Ciso': '471510r', 'Clabel': '471510r3', 'Cnumber': 3, 'abc_quality': 0.9688179168154939, 'absD': 1051469119337248462500000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9672, 'ainvs': [1, -1, 0, -220618800, 1260371020000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 471510, 'degree': 82575360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5345377002518343553973595102', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [337492110729985137289, 298819462500000], 'lmfdb_iso': '471510.r', 'lmfdb_label': '471510.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -145048, -21306848], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '104.12.0.?', '248.12.0.?', '312.24.0.?', '744.24.0.?', '1612.12.0.?', '3224.24.0.?', '9672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7027568771870111416729931710', 'prec': 100}, 'szpiro_ratio': 5.300907634397923, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2898178
    {'Ciso': '471510r', 'Clabel': '471510r2', 'Cnumber': 2, 'abc_quality': 0.955880469136638, 'absD': 266627681820864973440000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9672, 'ainvs': [1, -1, 0, -16926480, 10066821376], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 471510, 'degree': 41287680, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1879641099718617006887434495', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [152417923851548809, 75773543040000], 'lmfdb_iso': '471510.r', 'lmfdb_label': '471510.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11128, -174272], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '104.12.0.?', '248.12.0.?', '312.24.0.?', '744.24.0.?', '1612.12.0.?', '3224.24.0.?', '4836.24.0.?', '9672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3561832869070384869643771103', 'prec': 100}, 'szpiro_ratio': 4.711283426333426, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2898177
    {'Ciso': '471510r', 'Clabel': '471510r1', 'Cnumber': 1, 'abc_quality': 0.9239666930054639, 'absD': 1003682551914587750400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9672, 'ainvs': [1, -1, 0, -9138960, -10521824000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 471510, 'degree': 20643840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8413905196918890459801273888', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [23989788887201929, 285238886400], 'lmfdb_iso': '471510.r', 'lmfdb_label': '471510.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6008, 174912], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '104.12.0.?', '248.12.0.?', '312.24.0.?', '744.24.0.?', '1612.12.0.?', '2418.6.0.?', '3224.24.0.?', '4836.24.0.?', '9672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0096096966270658322557610496', 'prec': 100}, 'szpiro_ratio': 4.569746297162704, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2898180
    {'Ciso': '471510r', 'Clabel': '471510r4', 'Cnumber': 4, 'abc_quality': 0.9752181813037328, 'absD': 17960681579380918613258400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9672, 'ainvs': [1, -1, 0, 62165520, 77342476576], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 471510, 'degree': 82575360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5345377002518343553973595102', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [7550657627997219191, 5104288007114400], 'lmfdb_iso': '471510.r', 'lmfdb_label': '471510.r4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 40872, -1287072], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '104.12.0.?', '248.12.0.?', '312.24.0.?', '744.24.0.?', '3224.24.0.?', '9672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7027568771870111416729931710', 'prec': 100}, 'szpiro_ratio': 5.010032250337714, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}