Elliptic curve isogeny class data - 13104.bv

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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, -1, 0, 0, 0, -4, 0, 1, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 2, -1, -4, 1, 6, -4, 0, -6, 0, 6, 6, -4, 0, 2, 4, -2, -4, 0, -6, -8, 12, -10, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 13104, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '13104.bv', 'trace_hash': 1812422038328040772}
• ec_padic •

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

  
  
  • id: 576019
    {'lmfdb_iso': '13104.bv', 'p': 5, 'prec': 20, 'unit': 2031370980269, 'val': 2}
  • id: 576011
    {'lmfdb_iso': '13104.bv', 'p': 11, 'prec': 20, 'unit': 10823603758632414788, 'val': 1}
  • id: 576012
    {'lmfdb_iso': '13104.bv', 'p': 17, 'prec': 20, 'unit': 201617893446807146535943, 'val': 1}
  • id: 576013
    {'lmfdb_iso': '13104.bv', 'p': 19, 'prec': 20, 'unit': 1271572268279250367772357, 'val': 1}
  • id: 576009
    {'lmfdb_iso': '13104.bv', 'p': 29, 'prec': 20, 'unit': 944262794342829645351953800, 'val': 1}
  • id: 576006
    {'lmfdb_iso': '13104.bv', 'p': 37, 'prec': 20, 'unit': 554587560567514718712643891895, 'val': 1}
  • id: 576007
    {'lmfdb_iso': '13104.bv', 'p': 41, 'prec': 20, 'unit': 1274363372942815985959981714223, 'val': 1}
  • id: 576008
    {'lmfdb_iso': '13104.bv', 'p': 43, 'prec': 20, 'unit': 9607883317719959178757646966215, 'val': 1}
  • id: 576014
    {'lmfdb_iso': '13104.bv', 'p': 53, 'prec': 20, 'unit': 215434869368882042495128237516172, 'val': 1}
  • id: 576017
    {'lmfdb_iso': '13104.bv', 'p': 59, 'prec': 20, 'unit': 20365032564805762987065703746214, 'val': 2}
  • id: 576018
    {'lmfdb_iso': '13104.bv', 'p': 61, 'prec': 20, 'unit': 7857524957245070212640004356600041, 'val': 1}
  • id: 576005
    {'lmfdb_iso': '13104.bv', 'p': 67, 'prec': 20, 'unit': 43825870019322443841271512072391482, 'val': 1}
  • id: 576015
    {'lmfdb_iso': '13104.bv', 'p': 73, 'prec': 20, 'unit': 190994966532805298874282039377296717, 'val': 1}
  • id: 576010
    {'lmfdb_iso': '13104.bv', 'p': 79, 'prec': 20, 'unit': 912428979099954080106994086359841893, 'val': 1}
  • id: 576004
    {'lmfdb_iso': '13104.bv', 'p': 83, 'prec': 20, 'unit': 145832239136212958364580759006911778, 'val': 1}
  • id: 576016
    {'lmfdb_iso': '13104.bv', 'p': 89, 'prec': 20, 'unit': 2818823118854263216482811424147822006, 'val': 1}
  • id: 576003
    {'lmfdb_iso': '13104.bv', 'p': 97, 'prec': 20, 'unit': 52496722789041665851814697768038955452, '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: 85548
    {'Ciso': '13104w', 'Clabel': '13104w5', 'Cnumber': 5, 'abc_quality': 1.0362567238567626, 'absD': 99043596288, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, 0, 0, -25474179, -49487829662], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13104, 'degree': 294912, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5005948710626601177974396795', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1224522642327678150914, 66339], 'lmfdb_iso': '13104.bv', 'lmfdb_label': '13104.bv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2830464, -1831939092], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.2', '16.24.0-8.n.1.8', '24.24.0-8.n.1.12', '48.48.0-48.g.1.3', '56.24.0-8.n.1.8', '104.24.0.?', '112.48.0.?', '168.48.0.?', '208.48.0.?', '312.48.0.?', '336.96.0.?', '624.96.0.?', '728.48.0.?', '1456.96.0.?', '2184.96.0.?', '4368.192.1.?'], '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': '19.009002764226929538928329997', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 819], [3, 6, 1456], [7, 8, 1872], [13, 14, 1008]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3159038112153220718006876164', 'prec': 100}, 'szpiro_ratio': 6.621168354108849, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 85546
    {'Ciso': '13104w', 'Clabel': '13104w3', 'Cnumber': 3, 'abc_quality': 1.0073457381943538, 'absD': 3285226567074816, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -1592139, -773244470], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13104, 'degree': 147456, 'elladic_images': ['8.24.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1540212807826874630888236187', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [597914615076708388, 4400862921], 'lmfdb_iso': '13104.bv', 'lmfdb_label': '13104.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -176904, -28579716], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.5', '12.24.0-4.b.1.3', '24.48.0-24.m.1.1', '56.48.0-56.h.2.9', '104.48.0.?', '168.96.0.?', '312.96.0.?', '728.96.0.?', '2184.192.1.?'], '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': '9.5045013821134647694641649984', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 1456], [7, 8, 1872], [13, 14, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0270924859820115262101742324', 'prec': 100}, 'szpiro_ratio': 5.743829684442421, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 85549
    {'Ciso': '13104w', 'Clabel': '13104w6', 'Cnumber': 6, 'abc_quality': 1.0089455216720034, 'absD': 38371518506215544832, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, 0, 0, -1559379, -806587598], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13104, 'degree': 294912, 'elladic_images': ['16.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5005948710626601177974396795', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-280880296871140514, 25701087819771], 'lmfdb_iso': '13104.bv', 'lmfdb_label': '13104.bv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -173264, -29815860], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.2', '16.24.0-8.n.1.8', '24.24.0-8.n.1.12', '48.48.0-48.g.1.3', '56.24.0.bu.2', '104.24.0.?', '112.48.0.?', '168.48.0.?', '208.48.0.?', '312.48.0.?', '336.96.0.?', '624.96.0.?', '728.48.0.?', '1456.96.0.?', '2184.96.0.?', '4368.192.1.?'], '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': '19.009002764226929538928329997', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 819], [3, 6, 1456], [7, 8, 1872], [13, 14, 1008]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3159038112153220718006876164', 'prec': 100}, 'szpiro_ratio': 5.752734302973358, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 85547
    {'Ciso': '13104w', 'Clabel': '13104w4', 'Cnumber': 4, 'abc_quality': 0.991751601068022, 'absD': 805627249961683968, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, 0, 0, -339699, 62789218], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13104, 'degree': 147456, 'elladic_images': ['8.24.0.46'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1540212807826874630888236187', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5807363790481348, 1079211743883], 'lmfdb_iso': '13104.bv', 'lmfdb_label': '13104.bv4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -37744, 2338108], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.12', '12.24.0-12.h.1.2', '24.48.0-24.bl.1.9', '56.48.0-56.bu.1.14', '168.96.0.?', '208.48.0.?', '624.96.0.?', '1456.96.0.?', '4368.192.1.?'], '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': '2.3761253455283661923660412496', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 1456], [7, 8, 1872], [13, 14, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0270924859820115262101742324', 'prec': 100}, 'szpiro_ratio': 5.255011926138506, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 85545
    {'Ciso': '13104w', 'Clabel': '13104w2', 'Cnumber': 2, 'abc_quality': 0.9686459833518319, 'absD': 9329547737293056, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -101559, -11558090], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13104, 'degree': 73728, 'elladic_images': ['4.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8074476905027148083802075580', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [620742479063632, 49991146569], 'lmfdb_iso': '13104.bv', 'lmfdb_label': '13104.bv5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11284, -424316], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '12.48.0-12.c.1.2', '56.48.0-56.h.1.32', '104.48.0.?', '168.96.0.?', '312.96.0.?', '728.96.0.?', '2184.192.1.?'], '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': '4.7522506910567323847320824992', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 1456], [7, 8, 1872], [13, 14, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79604342579536308973776352523', 'prec': 103}, 'szpiro_ratio': 4.872944098561793, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 85544
    {'Ciso': '13104w', 'Clabel': '13104w1', 'Cnumber': 1, 'abc_quality': 1.0143277708927247, 'absD': 306819035136432, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, 0, 0, 6486, -818417], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13104, 'degree': 36864, 'elladic_images': ['8.24.0.56'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4608741002227421536715914973', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2587063175168, 26304786963], 'lmfdb_iso': '13104.bv', 'lmfdb_label': '13104.bv6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 721, -30552], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '6.6.0.a.1', '8.24.0-8.n.1.10', '12.24.0-12.g.1.1', '24.48.0-24.bh.1.10', '104.48.0.?', '112.48.0.?', '312.96.0.?', '336.96.0.?', '1456.96.0.?', '4368.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5045013821134647694641649984', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 1456], [7, 8, 1872], [13, 14, 1008]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68051889570203887150155817169', 'prec': 103}, 'szpiro_ratio': 4.298576789054694, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}