Elliptic curve isogeny class data - 65559.f

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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, 2, 1, 4, -3, 1, 2, -4, -1, -1, 4, 2, -1, -2, 1, 0, -2], 'aplist': [1, 1, 2, 4, -4, -1, -2, 0, 0, 10, 4, -2, 0, -12, 0, -6, 12, -2, 8, 0, 2, -8, 4, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 65559, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '65559.f', 'trace_hash': 305674571764965168}
• lmfdb_iso 65559.f 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: 434055
    {'Ciso': '65559d', 'Clabel': '65559d4', 'Cnumber': 4, 'abc_quality': 1.1161605159157866, 'absD': 5001859765773, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 12792, 'ainvs': [1, 0, 1, -116865, -15386381], 'analytic_rank': 0, 'bad_primes': [3, 13, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 65559, 'degree': 276480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5384195712237664489846046694', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [37159393753, 1053], 'lmfdb_iso': '65559.f', 'lmfdb_label': '65559.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -69, -252], 'min_quad_twist_disc': 41, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '26.6.0.b.1', '52.12.0.g.1', '164.12.0.?', '312.24.0.?', '984.24.0.?', '2132.24.0.?', '12792.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 21853], [3, 4, 21853], [13, 14, 5043], [41, 842, 39]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701712', 'prec': 107}, 'szpiro_ratio': 4.203512000335554, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 434054
    {'Ciso': '65559d', 'Clabel': '65559d3', 'Cnumber': 3, 'abc_quality': 0.9608618677341092, 'absD': 407003181681603, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 12792, 'ainvs': [1, 0, 1, -32815, 2069123], 'analytic_rank': 0, 'bad_primes': [3, 13, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 65559, 'degree': 276480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5384195712237664489846046693', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [822656953, 85683], 'lmfdb_iso': '65559.f', 'lmfdb_label': '65559.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 22], 'min_quad_twist_disc': 41, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '104.12.0.?', '164.12.0.?', '312.24.0.?', '492.24.0.?', '4264.24.0.?', '12792.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5043], [3, 4, 21853], [13, 14, 5043], [41, 842, 39]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701722', 'prec': 107}, 'szpiro_ratio': 3.859942108095793, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 434053
    {'Ciso': '65559d', 'Clabel': '65559d2', 'Cnumber': 2, 'abc_quality': 0.9140273049268122, 'absD': 7224908550561, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6396, 'ainvs': [1, 0, 1, -7600, -220399], 'analytic_rank': 0, 'bad_primes': [3, 13, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 65559, 'degree': 138240, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1918459809437937942759886086', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [10218313, 1521], 'lmfdb_iso': '65559.f', 'lmfdb_label': '65559.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -4, -5], 'min_quad_twist_disc': 41, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '52.12.0.b.1', '156.24.0.?', '164.12.0.?', '492.24.0.?', '2132.24.0.?', '6396.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1681], [3, 4, 21853], [13, 14, 5043], [41, 842, 39]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66494005240836010765739307792', 'prec': 107}, 'szpiro_ratio': 3.464263251102745, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 434052
    {'Ciso': '65559d', 'Clabel': '65559d1', 'Cnumber': 1, 'abc_quality': 0.8584360026236014, 'absD': 185254065399, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 12792, 'ainvs': [1, 0, 1, 805, -18679], 'analytic_rank': 0, 'bad_primes': [3, 13, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 65559, 'degree': 69120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84527239066382113956737254789', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [12167, 39], 'lmfdb_iso': '65559.f', 'lmfdb_label': '65559.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1, 0], 'min_quad_twist_disc': 41, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '78.6.0.?', '104.12.0.?', '156.12.0.?', '312.24.0.?', '328.12.0.?', '492.12.0.?', '984.24.0.?', '2132.12.0.?', '4264.24.0.?', '6396.24.0.?', '12792.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 21853], [13, 14, 5043], [41, 842, 39]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0115136426883327623660091386', 'prec': 103}, 'szpiro_ratio': 2.9935519062968416, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}