Elliptic curve isogeny class data - 4800.t

Formats: - HTML - YAML - JSON - 2024-06-07T02:50:37.332731

• 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, 0, 0, 0, 0, 1, 0, 4, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, 0, 4, -2, -2, -4, 0, 2, 0, -10, 10, 4, -8, -10, 4, 2, 12, -8, -10, 0, 12, -6, -2], 'class_deg': 16, 'class_size': 8, 'conductor': 4800, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '4800.t', 'trace_hash': 1003330425242352944}
• ec_padic •

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

  
  
  • id: 174425
    {'lmfdb_iso': '4800.t', 'p': 11, 'prec': 20, 'unit': 41623173874134093955, 'val': 1}
  • id: 174431
    {'lmfdb_iso': '4800.t', 'p': 13, 'prec': 20, 'unit': 1365643966520265548164, 'val': 1}
  • id: 174433
    {'lmfdb_iso': '4800.t', 'p': 17, 'prec': 20, 'unit': 6165620145464873800023, 'val': 1}
  • id: 174434
    {'lmfdb_iso': '4800.t', 'p': 19, 'prec': 20, 'unit': 1531465873075181671417724, 'val': 1}
  • id: 174430
    {'lmfdb_iso': '4800.t', 'p': 29, 'prec': 20, 'unit': 4765341656899858756533765864, 'val': 1}
  • id: 174426
    {'lmfdb_iso': '4800.t', 'p': 37, 'prec': 20, 'unit': 505690340052874196150420686223, 'val': 1}
  • id: 174428
    {'lmfdb_iso': '4800.t', 'p': 41, 'prec': 20, 'unit': 557494668240913378250101020836, 'val': 1}
  • id: 174429
    {'lmfdb_iso': '4800.t', 'p': 43, 'prec': 20, 'unit': 4166885266251807210405967935328, 'val': 1}
  • id: 174432
    {'lmfdb_iso': '4800.t', 'p': 47, 'prec': 20, 'unit': 49429057278303836291999678279780, 'val': 1}
  • id: 174435
    {'lmfdb_iso': '4800.t', 'p': 53, 'prec': 20, 'unit': 262809869870820787839398935012914, 'val': 1}
  • id: 174439
    {'lmfdb_iso': '4800.t', 'p': 59, 'prec': 20, 'unit': 56053446639699418845078181264828, 'val': 2}
  • id: 174440
    {'lmfdb_iso': '4800.t', 'p': 61, 'prec': 20, 'unit': 1868571974567382445117504186538286, 'val': 1}
  • id: 174424
    {'lmfdb_iso': '4800.t', 'p': 67, 'prec': 20, 'unit': 12379892647246088728022842841821900, 'val': 1}
  • id: 174427
    {'lmfdb_iso': '4800.t', 'p': 71, 'prec': 20, 'unit': 26207914496123581828441127091200115, 'val': 1}
  • id: 174436
    {'lmfdb_iso': '4800.t', 'p': 73, 'prec': 20, 'unit': 185083725389240152374939240497691444, 'val': 1}
  • id: 174437
    {'lmfdb_iso': '4800.t', 'p': 83, 'prec': 20, 'unit': 1207454251275687083487225692790848987, 'val': 1}
  • id: 174438
    {'lmfdb_iso': '4800.t', 'p': 89, 'prec': 20, 'unit': 8977274539237771906937565685346411938, 'val': 1}
  • id: 174423
    {'lmfdb_iso': '4800.t', 'p': 97, 'prec': 20, 'unit': 7204610290774517569910637192721232202, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 29529
    {'Ciso': '4800b', 'Clabel': '4800b7', 'Cnumber': 7, 'abc_quality': 1.0735374703334082, 'absD': 1658880000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -3456033, -2471796063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 49152, 'elladic_images': ['16.96.0.282'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1353093355340696733998634731', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.7', '10.6.0.a.1', '16.96.0-16.x.2.8', '20.12.0.g.1', '40.96.0-40.bj.1.6', '80.192.1.?', '96.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.859623213822182715132343988', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562430', 'prec': 103}, 'szpiro_ratio': 6.698680116236579, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29527
    {'Ciso': '4800b', 'Clabel': '4800b5', 'Cnumber': 5, 'abc_quality': 1.038972011651739, 'absD': 671846400000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, -1, 0, -216033, -38556063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 24576, 'elladic_images': ['8.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7887357452540970186912474124', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.k.1.6', '20.24.0.c.1', '40.192.1-40.cc.2.6', '48.192.1-48.e.2.16', '80.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.4298116069110913575661719938', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436399', 'prec': 110}, 'szpiro_ratio': 5.717442746928522, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 29530
    {'Ciso': '4800b', 'Clabel': '4800b8', 'Cnumber': 8, 'abc_quality': 1.0594919023465201, 'absD': 881596846080000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -176033, -53316063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 49152, 'elladic_images': ['16.96.0.295'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1353093355340696733998634731', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.ba.2.4', '16.96.0-16.u.2.8', '20.12.0.h.1', '40.96.0-40.bm.2.8', '80.384.5.?', '96.192.1.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.859623213822182715132343988', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562430', 'prec': 103}, 'szpiro_ratio': 5.793616247004551, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29526
    {'Ciso': '4800b', 'Clabel': '4800b4', 'Cnumber': 4, 'abc_quality': 1.030187200332639, 'absD': 61440000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -128033, 17675937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 12288, 'elladic_images': ['32.96.0.81'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4421621549741243639826313516', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '16.48.0-16.g.1.13', '24.48.0-24.by.2.12', '32.96.0-32.e.1.14', '40.48.0-40.cb.2.6', '48.96.0-48.bs.1.6', '60.12.0.h.1', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92872645086388641969577149923', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649720', 'prec': 107}, 'szpiro_ratio': 5.532289669769731, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29525
    {'Ciso': '4800b', 'Clabel': '4800b3', 'Cnumber': 3, 'abc_quality': 1.0253374473912513, 'absD': 207360000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, -1, 0, -16033, -356063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 12288, 'elladic_images': ['8.96.0.84'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4421621549741243639826313516', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [111284641, 50625], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10, -10], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.b.2.11', '24.192.1-24.n.1.15', '40.192.1-40.s.1.6', '80.384.5.?', '120.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7149058034555456787830859969', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649720', 'prec': 107}, 'szpiro_ratio': 4.796967663460842, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 29524
    {'Ciso': '4800b', 'Clabel': '4800b2', 'Cnumber': 2, 'abc_quality': 0.9622954410890624, 'absD': 921600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, -1, 0, -8033, 275937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 6144, 'elladic_images': ['16.96.0.51'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0955885646941517092740152909', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.i.1.9', '16.96.0-16.d.2.12', '24.96.0-24.bb.2.13', '40.96.0-40.bd.1.8', '48.192.1-48.n.1.15', '60.24.0.c.1', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8574529017277728393915429985', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255790', 'prec': 107}, 'szpiro_ratio': 4.552380568147635, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 29523
    {'Ciso': '4800b', 'Clabel': '4800b1', 'Cnumber': 1, 'abc_quality': 1.1980768440515948, 'absD': 61440000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -33, 11937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 3072, 'elladic_images': ['32.96.0.81'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74901497441417905456539923018', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '16.48.0-16.g.1.13', '24.48.0-24.bz.1.4', '30.6.0.a.1', '32.96.0-32.e.1.14', '40.48.0-40.cb.2.6', '48.96.0-48.bv.1.4', '60.12.0.g.1', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92872645086388641969577149923', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 3.8101310931828065, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29528
    {'Ciso': '4800b', 'Clabel': '4800b6', 'Cnumber': 6, 'abc_quality': 1.0558519748642754, 'absD': 14400000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, 55967, -2732063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 24576, 'elladic_images': ['16.96.0.200'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7887357452540970186912474124', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '4800.t', 'lmfdb_label': '4800.t8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0.n.2', '16.96.0-8.n.2.6', '24.96.1.cv.2', '40.96.0-8.n.2.1', '48.192.1-24.cv.2.5', '60.24.0-4.d.1.2', '80.192.1.?', '120.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8574529017277728393915429985', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436399', 'prec': 110}, 'szpiro_ratio': 5.23940453577345, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}