Elliptic curve isogeny class data - 7752.a

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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, -1, 0, -2, 0, -4, 0, 1, 0, 0, 0, -2, 0, 2, 0, 1, 0, -1, 0], 'aplist': [0, -1, -2, -4, 0, -2, 1, -1, 4, -6, 8, 2, 6, 4, 0, 14, -4, -2, -12, 0, 2, 16, -12, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 7752, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '7752.a', 'trace_hash': 948884941442157738}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 316872
    {'lmfdb_iso': '7752.a', 'p': 5, 'prec': 20, 'unit': 491998013036, 'val': 1}
  • id: 316873
    {'lmfdb_iso': '7752.a', 'p': 7, 'prec': 20, 'unit': 6250520970710997, 'val': 1}
  • id: 316878
    {'lmfdb_iso': '7752.a', 'p': 13, 'prec': 20, 'unit': 298683307327629945312, 'val': 1}
  • id: 316883
    {'lmfdb_iso': '7752.a', 'p': 23, 'prec': 20, 'unit': 943120358360704185789991, 'val': 2}
  • id: 316877
    {'lmfdb_iso': '7752.a', 'p': 29, 'prec': 20, 'unit': 2867576195182519165754663076, 'val': 1}
  • id: 316874
    {'lmfdb_iso': '7752.a', 'p': 31, 'prec': 20, 'unit': 9359823196676648418744725823, 'val': 1}
  • id: 316887
    {'lmfdb_iso': '7752.a', 'p': 37, 'prec': 20, 'unit': 12188195402834186973082841249, 'val': 2}
  • id: 316875
    {'lmfdb_iso': '7752.a', 'p': 41, 'prec': 20, 'unit': 1939117570484147365600603813975, 'val': 1}
  • id: 316876
    {'lmfdb_iso': '7752.a', 'p': 43, 'prec': 20, 'unit': 6132982154630966478737426910699, 'val': 1}
  • id: 316881
    {'lmfdb_iso': '7752.a', 'p': 53, 'prec': 20, 'unit': 466886548524367915248156161876316, 'val': 1}
  • id: 316885
    {'lmfdb_iso': '7752.a', 'p': 59, 'prec': 20, 'unit': 591623231303582323922492480332999, 'val': 1}
  • id: 316886
    {'lmfdb_iso': '7752.a', 'p': 61, 'prec': 20, 'unit': 7310631573860206553998843100378450, 'val': 1}
  • id: 316871
    {'lmfdb_iso': '7752.a', 'p': 67, 'prec': 20, 'unit': 28801719697677688430605569584288724, 'val': 1}
  • id: 316882
    {'lmfdb_iso': '7752.a', 'p': 73, 'prec': 20, 'unit': 191484650007355783598362759395714, 'val': 1}
  • id: 316879
    {'lmfdb_iso': '7752.a', 'p': 79, 'prec': 20, 'unit': 406702229410311556718123135355458758, 'val': 1}
  • id: 316880
    {'lmfdb_iso': '7752.a', 'p': 83, 'prec': 20, 'unit': 1850376008255615522779716239900660868, 'val': 1}
  • id: 316884
    {'lmfdb_iso': '7752.a', 'p': 89, 'prec': 20, 'unit': 4064144099935019080902415542519299820, 'val': 1}
  • id: 316870
    {'lmfdb_iso': '7752.a', 'p': 97, 'prec': 20, 'unit': 10585459242612393789762245656393652579, 'val': 1}
• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 49701
    {'Ciso': '7752g', 'Clabel': '7752g4', 'Cnumber': 4, 'abc_quality': 0.9059724232233857, 'absD': 14624861184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2584, 'ainvs': [0, -1, 0, -3744, 89244], 'analytic_rank': 1, 'bad_primes': [2, 3, 17, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7752, 'degree': 7168, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82749447099498880661507667750', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [5669532745348, 14282091], 'lmfdb_iso': '7752.a', 'lmfdb_label': '7752.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3744, 89244], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '76.24.0.?', '136.24.0.?', '2584.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8997996867318776644172653907', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 2584], [17, 18, 456], [19, 20, 408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24987182052836771543404990962', 'prec': 103}, 'szpiro_ratio': 4.053013688169341, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 49700
    {'Ciso': '7752g', 'Clabel': '7752g3', 'Cnumber': 3, 'abc_quality': 0.9036041437879028, 'absD': 20417651712, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2584, 'ainvs': [0, -1, 0, -3384, -74340], 'analytic_rank': 1, 'bad_primes': [2, 3, 17, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7752, 'degree': 7168, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82749447099498880661507667750', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [4186423406308, 19939113], 'lmfdb_iso': '7752.a', 'lmfdb_label': '7752.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3384, -74340], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '34.6.0.a.1', '68.24.0-68.g.1.1', '152.24.0.?', '2584.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8997996867318776644172653907', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [3, 4, 2584], [17, 18, 456], [19, 20, 408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24987182052836771543404990962', 'prec': 103}, 'szpiro_ratio': 4.01915148525415, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 49699
    {'Ciso': '7752g', 'Clabel': '7752g2', 'Cnumber': 2, 'abc_quality': 0.9203533598901007, 'absD': 2163366144, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1292, 'ainvs': [0, -1, 0, -324, 324], 'analytic_rank': 1, 'bad_primes': [2, 3, 17, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7752, 'degree': 3584, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48092088071501615190646061677', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [14738677072, 8450649], 'lmfdb_iso': '7752.a', 'lmfdb_label': '7752.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -324, 324], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '68.24.0-68.b.1.2', '76.24.0.?', '1292.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.94989984336593883220863269534', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 2584], [17, 18, 456], [19, 20, 408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.018822760341719278961639202465', 'prec': 107}, 'szpiro_ratio': 3.2335717493066207, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 49698
    {'Ciso': '7752g', 'Clabel': '7752g1', 'Cnumber': 1, 'abc_quality': 1.0788919745794874, 'absD': 33907248, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2584, 'ainvs': [0, -1, 0, 81, 0], 'analytic_rank': 1, 'bad_primes': [2, 3, 17, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7752, 'degree': 1792, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13434729043504349719784455604', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3628156928, 2119203], 'lmfdb_iso': '7752.a', 'lmfdb_label': '7752.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 81, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '68.12.0-4.c.1.2', '76.12.0.?', '136.24.0.?', '152.24.0.?', '646.6.0.?', '1292.24.0.?', '2584.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8997996867318776644172653907', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 323], [3, 4, 2584], [17, 18, 456], [19, 20, 408]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.096701769751604939274566151113', 'prec': 110}, 'szpiro_ratio': 2.767462321807856, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}