Elliptic curve isogeny class data - 4641.b

Formats: - HTML - YAML - JSON - 2023-12-09T12:02:03.529664

• 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, -1, 3, 1, 2, -4, 1, 1, 1, 2, -1, 1, -1, -4, 2], 'aplist': [-1, -1, -2, -1, -4, 1, 1, -4, 0, 6, 0, -2, 2, 12, 0, -10, 12, -10, 4, 8, 10, -8, 4, 10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 4641, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '4641.b', 'trace_hash': 1735675449831001850}
• ec_padic •

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

  
  
  • id: 167505
    {'lmfdb_iso': '4641.b', 'p': 5, 'prec': 20, 'unit': 5893069535568, 'val': 1}
  • id: 167498
    {'lmfdb_iso': '4641.b', 'p': 11, 'prec': 20, 'unit': 31684978466222070832, 'val': 1}
  • id: 167499
    {'lmfdb_iso': '4641.b', 'p': 19, 'prec': 20, 'unit': 1497373852278408256294486, 'val': 1}
  • id: 167496
    {'lmfdb_iso': '4641.b', 'p': 29, 'prec': 20, 'unit': 955339050584004864531485424, 'val': 1}
  • id: 167492
    {'lmfdb_iso': '4641.b', 'p': 37, 'prec': 20, 'unit': 343252502062559215438596869106, 'val': 1}
  • id: 167494
    {'lmfdb_iso': '4641.b', 'p': 41, 'prec': 20, 'unit': 1318510442316643151737191284550, 'val': 1}
  • id: 167495
    {'lmfdb_iso': '4641.b', 'p': 43, 'prec': 20, 'unit': 399302119955548343751186008388, 'val': 1}
  • id: 167500
    {'lmfdb_iso': '4641.b', 'p': 53, 'prec': 20, 'unit': 354317515748985575964494473446755, 'val': 1}
  • id: 167503
    {'lmfdb_iso': '4641.b', 'p': 59, 'prec': 20, 'unit': 1162894978874827707627153852540941, 'val': 1}
  • id: 167504
    {'lmfdb_iso': '4641.b', 'p': 61, 'prec': 20, 'unit': 3777818018616859687635280546864832, 'val': 1}
  • id: 167491
    {'lmfdb_iso': '4641.b', 'p': 67, 'prec': 20, 'unit': 6302030071922649309149682076820965, 'val': 1}
  • id: 167493
    {'lmfdb_iso': '4641.b', 'p': 71, 'prec': 20, 'unit': 68144843787237120480316132895122050, 'val': 1}
  • id: 167501
    {'lmfdb_iso': '4641.b', 'p': 73, 'prec': 20, 'unit': 51752538139684912321407906959865258, 'val': 1}
  • id: 167497
    {'lmfdb_iso': '4641.b', 'p': 79, 'prec': 20, 'unit': 240368930714320174578051852431596649, 'val': 1}
  • id: 167490
    {'lmfdb_iso': '4641.b', 'p': 83, 'prec': 20, 'unit': 2072904635064481719793635212365960218, 'val': 1}
  • id: 167502
    {'lmfdb_iso': '4641.b', 'p': 89, 'prec': 20, 'unit': 2525326607833271172619475136088146857, 'val': 1}
  • id: 167489
    {'lmfdb_iso': '4641.b', 'p': 97, 'prec': 20, 'unit': 44049906238341634423222577345964474894, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 28523
    {'Ciso': '4641b', 'Clabel': '4641b5', 'Cnumber': 5, 'absD': 6115533215337, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 1, 1, -40579, -3160960], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4641, 'degree': 12288, 'elladic_images': ['8.24.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3818866827766589016152506703', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [7389727131216686257, 6115533215337], 'lmfdb_iso': '4641.b', 'lmfdb_label': '4641.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -40579, -3160960], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '34.6.0.a.1', '68.24.0-68.g.1.1', '136.48.0.?', '168.48.0.?', '208.48.0.?', '2856.96.0.?', '3536.96.0.?', '4368.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.52166992624576069191064023017', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3818866827766589016152506703', 'prec': 100}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 28521
    {'Ciso': '4641b', 'Clabel': '4641b3', 'Cnumber': 3, 'absD': 1605271262049, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 37128, 'ainvs': [1, 1, 1, -3094, -27214], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4641, 'degree': 6144, 'elladic_images': ['4.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0353130924966862469066346096', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [3275619238041697, 1605271262049], 'lmfdb_iso': '4641.b', 'lmfdb_label': '4641.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3094, -27214], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '68.48.0-68.c.1.2', '104.48.0.?', '168.48.0.?', '1768.96.0.?', '2184.96.0.?', '2856.96.0.?', '37128.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0433398524915213838212804603', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0353130924966862469066346096', 'prec': 100}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 28520
    {'Ciso': '4641b', 'Clabel': '4641b2', 'Cnumber': 2, 'absD': 6224736609, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 37128, 'ainvs': [1, 1, 1, -1649, 24806], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4641, 'degree': 3072, 'elladic_images': ['4.24.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.68873950221671359219801854889', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [495909170514577, 6224736609], 'lmfdb_iso': '4641.b', 'lmfdb_label': '4641.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1649, 24806], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '104.48.0.?', '136.48.0.?', '168.48.0.?', '1092.48.0.?', '1768.96.0.?', '2184.96.0.?', '2856.96.0.?', '37128.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0866797049830427676425609207', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68873950221671359219801854889', 'prec': 103}, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 28519
    {'Ciso': '4641b', 'Clabel': '4641b1', 'Cnumber': 1, 'absD': 78897, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 1, 1, -1644, 24972], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4641, 'degree': 1536, 'elladic_images': ['8.24.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.34216591193674093748940248816', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [491411892194497, 78897], 'lmfdb_iso': '4641.b', 'lmfdb_label': '4641.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1644, 24972], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '208.48.0.?', '272.48.0.?', '336.48.0.?', '546.6.0.?', '1092.24.0.?', '1768.48.0.?', '2184.48.0.?', '2856.48.0.?', '3536.96.0.?', '4368.96.0.?', '5712.96.0.?', '37128.96.0.?', '74256.192.1.?'], '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': '4.1733594099660855352851218414', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34216591193674093748940248816', 'prec': 103}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 28522
    {'Ciso': '4641b', 'Clabel': '4641b4', 'Cnumber': 4, 'absD': 1904381781393, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 1, 1, -284, 66302], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4641, 'degree': 6144, 'elladic_images': ['8.24.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0353130924966862469066346096', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2533811507137, 1904381781393], 'lmfdb_iso': '4641.b', 'lmfdb_label': '4641.b5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -284, 66302], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '104.48.0.?', '168.48.0.?', '272.48.0.?', '1092.24.0.?', '2184.96.0.?', '3536.96.0.?', '5712.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1733594099660855352851218414', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0353130924966862469066346096', 'prec': 100}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 28524
    {'Ciso': '4641b', 'Clabel': '4641b6', 'Cnumber': 6, 'absD': 108665074944153, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 1, 1, 11271, -193848], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4641, 'degree': 12288, 'elladic_images': ['8.24.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3818866827766589016152506703', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [158346567380527343, 108665074944153], 'lmfdb_iso': '4641.b', 'lmfdb_label': '4641.b6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 11271, -193848], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '68.24.0-68.h.1.1', '104.48.0.?', '136.48.0.?', '336.48.0.?', '1768.96.0.?', '4368.96.0.?', '5712.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0866797049830427676425609207', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3818866827766589016152506703', 'prec': 100}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}