Elliptic curve isogeny class data - 247744.x

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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, 0, 0, 0, -2, 0, 0, 0, -3, 0, -4, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -2, 0, -4, -2, -2, 4, 0, 6, 0, 6, -10, -8, 0, -2, 0, -6, -4, -8, -10, 1, -4, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 247744, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '247744.x', 'trace_hash': 241649393908267540}
• lmfdb_iso 247744.x 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: 1574713
    {'Ciso': '247744x', 'Clabel': '247744x3', 'Cnumber': 3, 'abc_quality': 1.0029176246186866, 'absD': 112364613020042657792, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4424, 'ainvs': [0, 0, 0, -10727276, 13513667664], 'analytic_rank': 2, 'bad_primes': [2, 7, 79], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 247744, 'degree': 7077888, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7760155925523538770919834344', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [4426535117697057, 3643354232], 'lmfdb_iso': '247744.x', 'lmfdb_label': '247744.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3421, 77805], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '28.12.0-4.c.1.1', '56.24.0-8.p.1.4', '632.24.0.?', '4424.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '29.001962491345061464039223270', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3871], [7, 32, 5056], [79, 80, 3136]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76333974718477926041345888049', 'prec': 103}, 'szpiro_ratio': 4.8452311524547556, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1574714
    {'Ciso': '247744x', 'Clabel': '247744x4', 'Cnumber': 4, 'abc_quality': 0.9629603875428203, 'absD': 470893389988770086912, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4424, 'ainvs': [0, 0, 0, -6964076, -6996173744], 'analytic_rank': 2, 'bad_primes': [2, 7, 79], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 247744, 'degree': 7077888, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7760155925523538770919834344', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [1211116876909857, 15268431752], 'lmfdb_iso': '247744.x', 'lmfdb_label': '247744.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2221, -39283], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '28.12.0-4.c.1.2', '56.24.0-8.k.1.2', '632.24.0.?', '4424.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '7.2504906228362653660098058176', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [7, 32, 5056], [79, 80, 3136]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76333974718477926041345888049', 'prec': 103}, 'szpiro_ratio': 4.740878625621536, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1574712
    {'Ciso': '247744x', 'Clabel': '247744x2', 'Cnumber': 2, 'abc_quality': 0.9897977529188005, 'absD': 29577024335138258944, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4424, 'ainvs': [0, 0, 0, -817516, 111708240], 'analytic_rank': 2, 'bad_primes': [2, 7, 79], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 247744, 'degree': 3538944, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4294420022723812223833673737', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [1959225089697, 959017024], 'lmfdb_iso': '247744.x', 'lmfdb_label': '247744.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -261, 701], 'min_quad_twist_disc': 56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0-2.a.1.1', '56.24.0-8.a.1.1', '316.12.0.?', '632.24.0.?', '2212.24.0.?', '4424.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '29.001962491345061464039223270', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [7, 32, 5056], [79, 80, 3136]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41676615690480660570484281979', 'prec': 103}, 'szpiro_ratio': 4.2234332984347285, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1574711
    {'Ciso': '247744x', 'Clabel': '247744x1', 'Cnumber': 1, 'abc_quality': 0.9111471608662639, 'absD': 489002727318224896, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4424, 'ainvs': [0, 0, 0, 186004, 13363280], 'analytic_rank': 2, 'bad_primes': [2, 7, 79], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 247744, 'degree': 1769472, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0828684119924085676747513130', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [23076099423, 15855616], 'lmfdb_iso': '247744.x', 'lmfdb_label': '247744.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 59, 61], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0-8.p.1.1', '158.6.0.?', '316.12.0.?', '632.24.0.?', '4424.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '29.001962491345061464039223270', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3871], [7, 32, 5056], [79, 80, 3136]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.070192566624833950996226759089', 'prec': 107}, 'szpiro_ratio': 3.8658284027209873, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}