Elliptic curve isogeny class data - 278850.gy

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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, 1, 1, 0, 1, -4, 1, 1, 0, -1, 1, 0, -4, 0, 1, -2, 1, -4, 0], 'aplist': [1, 1, 0, -4, -1, 0, -2, -4, 0, 2, -8, -6, 6, 4, 0, 2, 12, 2, -12, 0, -14, 0, 4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 278850, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '278850.gy', 'trace_hash': 13090552081369035}
• lmfdb_iso 278850.gy 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: 1762270
    {'Ciso': '278850gy', 'Clabel': '278850gy3', 'Cnumber': 3, 'abc_quality': 0.9480370522538778, 'absD': 4367885050546875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 0, -25797938, 50432004492], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 278850, 'degree': 18579456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8201991353406342988570441486', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 180, 'isogeny_degrees': [1, 2, 4], 'jinv': [25176685646263969, 57915000], 'lmfdb_iso': '278850.gy', 'lmfdb_label': '278850.gy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -6106, 181103], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '220.12.0.?', '264.12.0.?', '312.12.0.?', '520.12.0.?', '1144.12.0.?', '1320.24.0.?', '1560.24.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0819418805081768154924012055', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 46475], [3, 4, 46475], [5, 18, 11154], [11, 12, 25350], [13, 98, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73300550039281574352992076120', 'prec': 103}, 'szpiro_ratio': 5.009480613244116, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1762269
    {'Ciso': '278850gy', 'Clabel': '278850gy2', 'Cnumber': 2, 'abc_quality': 0.8963574766727707, 'absD': 22208268879225000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 0, -1630938, 768819492], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 278850, 'degree': 9289728, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4736255450606616441484280878', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 180, 'isogeny_degrees': [1, 2], 'jinv': [6361447449889, 294465600], 'lmfdb_iso': '278850.gy', 'lmfdb_label': '278850.gy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -386, 2639], 'min_quad_twist_disc': 65, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '120.12.0.?', '156.12.0.?', '220.12.0.?', '264.12.0.?', '520.12.0.?', '1144.12.0.?', '1320.24.0.?', '1560.24.0.?', '3432.24.0.?', '5720.24.0.?', '8580.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1638837610163536309848024109', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4225], [3, 4, 46475], [5, 18, 11154], [11, 12, 25350], [13, 98, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38643191011284308882130470040', 'prec': 103}, 'szpiro_ratio': 4.348838235447318, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1762268
    {'Ciso': '278850gy', 'Clabel': '278850gy1', 'Cnumber': 1, 'abc_quality': 0.8577893570160732, 'absD': 662624339520000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 0, -278938, -41028508], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 278850, 'degree': 4644864, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1270519547806889894398120271', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 180, 'isogeny_degrees': [1, 2, 4], 'jinv': [31824875809, 8785920], 'lmfdb_iso': '278850.gy', 'lmfdb_label': '278850.gy3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -66, -177], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '156.12.0.?', '220.12.0.?', '264.12.0.?', '520.12.0.?', '1144.12.0.?', '1320.24.0.?', '1560.24.0.?', '3432.24.0.?', '4290.6.0.?', '5720.24.0.?', '8580.24.0.?', '17160.48.0.?'], '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': '1.0819418805081768154924012055', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 139425], [3, 4, 46475], [5, 18, 11154], [11, 12, 25350], [13, 98, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.039858319832870434112688639704', 'prec': 107}, 'szpiro_ratio': 3.9263161750121323, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1762271
    {'Ciso': '278850gy', 'Clabel': '278850gy4', 'Cnumber': 4, 'abc_quality': 0.9539844156603843, 'absD': 3784474085927266875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 0, 904062, 2941314492], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 278850, 'degree': 18579456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8201991353406342988570441486', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 180, 'isogeny_degrees': [1, 2, 4], 'jinv': [1083523132511, 50179392120], 'lmfdb_iso': '278850.gy', 'lmfdb_label': '278850.gy4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 214, 10799], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '156.12.0.?', '264.12.0.?', '440.12.0.?', '520.12.0.?', '1144.12.0.?', '1320.24.0.?', '1560.24.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3277675220327072619696048219', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 12675], [3, 4, 46475], [5, 18, 11154], [11, 12, 25350], [13, 98, 1650]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73300550039281574352992076120', 'prec': 103}, 'szpiro_ratio': 4.55617987501937, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}