Elliptic curve isogeny class data - 405600.by

Formats: - HTML - YAML - JSON - 2025-11-06T05:50:20.284745

• 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, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, 0, -4, 0, 2, 4, 8, -6, 0, -10, -6, -4, 0, -6, 12, -10, 12, -12, -10, -8, -16, -14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 405600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '405600.by', 'trace_hash': 1387428207722526887}
• lmfdb_iso 405600.by 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: 2516293
    {'Ciso': '405600by', 'Clabel': '405600by4', 'Cnumber': 4, 'abc_quality': 1.1653240287550397, 'absD': 927681605150040000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -108269179633, -13712108457168863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 405600, 'degree': 867041280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6579064944219353606519552732', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 4], 'jinv': [454357982636417669333824, 3003024375], 'lmfdb_iso': '405600.by', 'lmfdb_label': '405600.by1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -25625841, 49938972705], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0-4.c.1.4', '104.12.0.?', '120.24.0.?', '156.12.0.?', '312.24.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '164.82819144175724067029628188', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 12675], [3, 4, 135200], [5, 18, 16224], [7, 2, 135200], [13, 98, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997643', 'prec': 100}, 'szpiro_ratio': 6.80217047125869, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2516291
    {'Ciso': '405600by', 'Clabel': '405600by2', 'Cnumber': 2, 'abc_quality': 1.0454650055726047, 'absD': 9703877249795402209578120000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -7231072008, -183170497574988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 405600, 'degree': 867041280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6579064944219353606519552732', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 4], 'jinv': [1082883335268084577352, 251301565117746585], 'lmfdb_iso': '405600.by', 'lmfdb_label': '405600.by2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1711496, 667563336], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0-4.c.1.4', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '41.207047860439310167574070470', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 4, 135200], [5, 18, 16224], [7, 2, 135200], [13, 98, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0508524740541578232619077947', 'prec': 100}, 'szpiro_ratio': 6.173453477899684, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2516290
    {'Ciso': '405600by', 'Clabel': '405600by1', 'Cnumber': 1, 'abc_quality': 1.1080048293660931, 'absD': 2785850472504695652225000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -6766955758, -214241224047488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 405600, 'degree': 433520640, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3113329041419627059433392125', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2], 'jinv': [7099759044484031233216, 577161945398025], 'lmfdb_iso': '405600.by', 'lmfdb_label': '405600.by3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1601646, 780664896], 'min_quad_twist_disc': -260, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0-2.a.1.2', '104.12.0.?', '120.24.0.?', '156.12.0.?', '312.24.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '82.414095720878620335148140941', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [3, 4, 135200], [5, 18, 16224], [7, 2, 135200], [13, 98, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8775656789141714959075997644', 'prec': 100}, 'szpiro_ratio': 6.158042183645347, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2516292
    {'Ciso': '405600by', 'Clabel': '405600by3', 'Cnumber': 3, 'abc_quality': 1.0433838995113014, 'absD': 9837599000157232750924920000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -6304952008, -244750103682488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 405600, 'degree': 867041280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6579064944219353606519552732', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 4], 'jinv': [-717825640026599866952, 254764560814329735], 'lmfdb_iso': '405600.by', 'lmfdb_label': '405600.by4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1492296, 891720756], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.4', '40.12.0-4.c.1.5', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '780.12.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '164.82819144175724067029628188', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 12675], [3, 4, 135200], [5, 18, 16224], [7, 2, 135200], [13, 98, 2400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0508524740541578232619077947', 'prec': 100}, 'szpiro_ratio': 6.178651129844423, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}