Elliptic curve isogeny class data - 48552.t

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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, -1, 0, 1, 0, 4, 0, 2, 0, -2, 0, 0, 0, -4, 0], 'aplist': [0, 1, -2, -1, 4, 2, 0, -4, 4, 2, 0, -2, 10, -4, -8, 6, -8, -2, -4, -12, 10, -8, 0, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 48552, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '48552.t', 'trace_hash': 1854498956546730715}
• ec_padic •

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

  
  
  • id: 2437045
    {'lmfdb_iso': '48552.t', 'p': 5, 'prec': 20, 'unit': 15765084805258, 'val': 1}
  • id: 2437044
    {'lmfdb_iso': '48552.t', 'p': 11, 'prec': 20, 'unit': 4795262281480634960, 'val': 1}
  • id: 2437050
    {'lmfdb_iso': '48552.t', 'p': 13, 'prec': 20, 'unit': 1346446280937442615481, 'val': 1}
  • id: 2437053
    {'lmfdb_iso': '48552.t', 'p': 19, 'prec': 20, 'unit': 1588021967094224260254541, 'val': 1}
  • id: 2437056
    {'lmfdb_iso': '48552.t', 'p': 23, 'prec': 20, 'unit': 3033106647445665096751058, 'val': 1}
  • id: 2437049
    {'lmfdb_iso': '48552.t', 'p': 29, 'prec': 20, 'unit': 4478604957708440585095380141, 'val': 1}
  • id: 2437060
    {'lmfdb_iso': '48552.t', 'p': 37, 'prec': 20, 'unit': 120456828610796427626759214504, 'val': 1}
  • id: 2437047
    {'lmfdb_iso': '48552.t', 'p': 41, 'prec': 20, 'unit': 69684267558183311232015565013, 'val': 2}
  • id: 2437048
    {'lmfdb_iso': '48552.t', 'p': 43, 'prec': 20, 'unit': 9043453573094321489021765886440, 'val': 1}
  • id: 2437058
    {'lmfdb_iso': '48552.t', 'p': 47, 'prec': 20, 'unit': 54532786649738749399671269736211, 'val': 1}
  • id: 2437054
    {'lmfdb_iso': '48552.t', 'p': 53, 'prec': 20, 'unit': 462674376536992104267594375961206, 'val': 1}
  • id: 2437052
    {'lmfdb_iso': '48552.t', 'p': 59, 'prec': 20, 'unit': 269766429984527385739860853571994, 'val': 1}
  • id: 2437059
    {'lmfdb_iso': '48552.t', 'p': 61, 'prec': 20, 'unit': 5241872691387910231178052241918575, 'val': 1}
  • id: 2437043
    {'lmfdb_iso': '48552.t', 'p': 67, 'prec': 20, 'unit': 31545112615526171855493730110399827, 'val': 1}
  • id: 2437046
    {'lmfdb_iso': '48552.t', 'p': 71, 'prec': 20, 'unit': 20715045104948594421289705638135842, 'val': 1}
  • id: 2437055
    {'lmfdb_iso': '48552.t', 'p': 73, 'prec': 20, 'unit': 62480261300022104232107184044424946, 'val': 1}
  • id: 2437051
    {'lmfdb_iso': '48552.t', 'p': 79, 'prec': 20, 'unit': 283392582864649282890051830496261902, 'val': 1}
  • id: 2437057
    {'lmfdb_iso': '48552.t', 'p': 89, 'prec': 20, 'unit': 5662650354929440693924431799045710660, 'val': 1}
  • id: 2437042
    {'lmfdb_iso': '48552.t', 'p': 97, 'prec': 20, 'unit': 32960587687947100230610727358586092236, '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
  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: 322859
    {'Ciso': '48552bc', 'Clabel': '48552bc4', 'Cnumber': 4, 'abc_quality': 0.9238142295900464, 'absD': 6053211057395712, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -633584, -194288160], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48552, 'degree': 442368, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0230285666458104464634287882', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [569001644066, 122451], 'lmfdb_iso': '48552.t', 'lmfdb_label': '48552.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2192, -38772], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '168.24.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], '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': '19.588285981027897447560311118', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 867], [3, 4, 16184], [7, 8, 6936], [17, 162, 168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.028963020895580793960467965406', 'prec': 110}, 'szpiro_ratio': 4.790470503220594, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 322858
    {'Ciso': '48552bc', 'Clabel': '48552bc3', 'Cnumber': 3, 'abc_quality': 0.9042138661750012, 'absD': 86703865670510592, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -286784, 57294432], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48552, 'degree': 442368, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0230285666458104464634287882', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [52767497666, 1753941], 'lmfdb_iso': '48552.t', 'lmfdb_label': '48552.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -992, 12012], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '168.24.0.?', '408.24.0.?', '476.12.0.?', '952.24.0.?', '2856.48.0.?'], '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': '19.588285981027897447560311118', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 6069], [3, 4, 16184], [7, 8, 6936], [17, 162, 168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.028963020895580793960467965406', 'prec': 110}, 'szpiro_ratio': 4.5700903547969025, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 322857
    {'Ciso': '48552bc', 'Clabel': '48552bc2', 'Cnumber': 2, 'abc_quality': 0.8564967138362938, 'absD': 3150140448236544, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -44024, -2327424], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48552, 'degree': 221184, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6764549763658377917548127275', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [381775972, 127449], 'lmfdb_iso': '48552.t', 'lmfdb_label': '48552.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -152, -420], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '168.24.0.?', '408.24.0.?', '476.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.7941429905139487237801555591', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 4, 16184], [7, 8, 6936], [17, 162, 168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31777434612889133955098134932', 'prec': 107}, 'szpiro_ratio': 4.04907456550861, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 322856
    {'Ciso': '48552bc', 'Clabel': '48552bc1', 'Cnumber': 1, 'abc_quality': 0.7908893912675757, 'absD': 59561479063296, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, 7996, -246624], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48552, 'degree': 110592, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3298813860858651370461966668', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [9148592, 9639], 'lmfdb_iso': '48552.t', 'lmfdb_label': '48552.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 28, -60], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '168.24.0.?', '238.6.0.?', '408.24.0.?', '476.24.0.?', '2856.48.0.?'], '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': '4.8970714952569743618900777795', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2023], [3, 4, 16184], [7, 8, 6936], [17, 162, 168]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54882340631553977602339205644', 'prec': 107}, 'szpiro_ratio': 3.5748073673154006, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}