Elliptic curve isogeny class data - 450450.lr

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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, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 6, 0, -8, 0], 'aplist': [1, 0, 0, 1, 1, 1, 6, -8, 0, -2, 0, -2, 6, 12, 0, 14, -12, 2, 12, -12, -2, -4, 16, -14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 450450, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '450450.lr', 'trace_hash': 582850882950020674}
• lmfdb_iso 450450.lr 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: 2777064
    {'Ciso': '450450lr', 'Clabel': '450450lr4', 'Cnumber': 4, 'abc_quality': 0.9346885365628436, 'absD': 1667092695236718750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120120, 'ainvs': [1, -1, 1, -515855, -128236103], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 450450, 'degree': 11010048, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2299547395318468897739115112', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 303, 'isogeny_degrees': [1, 2, 4], 'jinv': [1332779492447649, 146356560350], 'lmfdb_iso': '450450.lr', 'lmfdb_label': '450450.lr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2293, 38607], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0.s.1', '120.12.0.?', '420.12.0.?', '840.24.0.?', '1144.12.0.?', '8008.24.0.?', '17160.24.0.?', '120120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 6, 50050], [5, 18, 18018], [7, 8, 64350], [11, 12, 40950], [13, 14, 34650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87592963898074185677590922612', 'prec': 103}, 'szpiro_ratio': 3.92336264708267, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2777062
    {'Ciso': '450450lr', 'Clabel': '450450lr2', 'Cnumber': 2, 'abc_quality': 0.904026026242857, 'absD': 28533544101562500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120120, 'ainvs': [1, -1, 1, -122105, 14301397], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 450450, 'degree': 5505024, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8833811492518742350652954505', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 303, 'isogeny_degrees': [1, 2], 'jinv': [17675559395649, 2505002500], 'lmfdb_iso': '450450.lr', 'lmfdb_label': '450450.lr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -543, -4093], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '56.12.0.b.1', '120.12.0.?', '420.12.0.?', '840.24.0.?', '1144.12.0.?', '4004.12.0.?', '8008.24.0.?', '8580.12.0.?', '17160.24.0.?', '60060.24.0.?', '120120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 6, 50050], [5, 18, 18018], [7, 8, 64350], [11, 12, 40950], [13, 14, 34650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52935604870076920206729316543', 'prec': 103}, 'szpiro_ratio': 3.59129641264953, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2777061
    {'Ciso': '450450lr', 'Clabel': '450450lr1', 'Cnumber': 1, 'abc_quality': 0.8672823170624246, 'absD': 4560806250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120120, 'ainvs': [1, -1, 1, -117605, 15552397], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 450450, 'degree': 2752512, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5368075589719015803566793898', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 303, 'isogeny_degrees': [1, 2, 4], 'jinv': [15792469779969, 400400], 'lmfdb_iso': '450450.lr', 'lmfdb_label': '450450.lr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -523, -4469], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0.y.1', '120.12.0.?', '420.12.0.?', '840.24.0.?', '1144.12.0.?', '2002.6.0.?', '4004.12.0.?', '8008.24.0.?', '8580.12.0.?', '17160.24.0.?', '60060.24.0.?', '120120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225225], [3, 6, 50050], [5, 18, 18018], [7, 8, 64350], [11, 12, 40950], [13, 14, 34650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18278245842079654735867710473', 'prec': 103}, 'szpiro_ratio': 3.5826430396584867, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2777063
    {'Ciso': '450450lr', 'Clabel': '450450lr3', 'Cnumber': 3, 'abc_quality': 0.9132527410838602, 'absD': 3055383874511718750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120120, 'ainvs': [1, -1, 1, 199645, 76720897], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 450450, 'degree': 11010048, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2299547395318468897739115112', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 303, 'isogeny_degrees': [1, 2, 4], 'jinv': [77259787831071, 268236718750], 'lmfdb_iso': '450450.lr', 'lmfdb_label': '450450.lr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 887, -22969], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0.y.1', '120.12.0.?', '840.24.0.?', '1144.12.0.?', '8008.24.0.?', '8580.12.0.?', '17160.24.0.?', '120120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 32175], [3, 6, 50050], [5, 18, 18018], [7, 8, 64350], [11, 12, 40950], [13, 14, 34650]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87592963898074185677590922612', 'prec': 103}, 'szpiro_ratio': 3.82822296465629, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}