Elliptic curve isogeny class data - 16562.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, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, -6, 1, 2, 0], 'aplist': [1, 2, 0, 0, 0, 0, -6, 2, 0, -6, -4, -2, 6, 8, -12, 6, -6, -8, 4, 0, 2, 8, -6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 16562, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '16562.bv', 'trace_hash': 1146047331413333448}
• ec_padic •

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

  
  
  • id: 751695
    {'lmfdb_iso': '16562.bv', 'p': 17, 'prec': 20, 'unit': 143862878045350618645926, 'val': 1}
  • id: 751687
    {'lmfdb_iso': '16562.bv', 'p': 19, 'prec': 20, 'unit': 317557422439044683416947, 'val': 1}
  • id: 751693
    {'lmfdb_iso': '16562.bv', 'p': 29, 'prec': 20, 'unit': 3495022387866639368772905752, 'val': 1}
  • id: 751703
    {'lmfdb_iso': '16562.bv', 'p': 31, 'prec': 20, 'unit': 3308985630572927717432783539, 'val': 1}
  • id: 751690
    {'lmfdb_iso': '16562.bv', 'p': 37, 'prec': 20, 'unit': 463335625535090844268430176498, 'val': 1}
  • id: 751691
    {'lmfdb_iso': '16562.bv', 'p': 41, 'prec': 20, 'unit': 1349888862420614578189035127891, 'val': 1}
  • id: 751692
    {'lmfdb_iso': '16562.bv', 'p': 43, 'prec': 20, 'unit': 2966851114437069418022150620038, 'val': 1}
  • id: 751701
    {'lmfdb_iso': '16562.bv', 'p': 47, 'prec': 20, 'unit': 47322718849287397374611700235728, 'val': 1}
  • id: 751697
    {'lmfdb_iso': '16562.bv', 'p': 53, 'prec': 20, 'unit': 256983416754910573784670061766165, 'val': 1}
  • id: 751698
    {'lmfdb_iso': '16562.bv', 'p': 59, 'prec': 20, 'unit': 1028359075393206983139747351785305, 'val': 1}
  • id: 751702
    {'lmfdb_iso': '16562.bv', 'p': 61, 'prec': 20, 'unit': 4490119193757527501546238731267711, 'val': 1}
  • id: 751689
    {'lmfdb_iso': '16562.bv', 'p': 67, 'prec': 20, 'unit': 21514987187019394571716623467791829, 'val': 1}
  • id: 751699
    {'lmfdb_iso': '16562.bv', 'p': 73, 'prec': 20, 'unit': 184423694342325065571296544144282660, 'val': 1}
  • id: 751694
    {'lmfdb_iso': '16562.bv', 'p': 79, 'prec': 20, 'unit': 309533365220783231649319627568369140, 'val': 1}
  • id: 751696
    {'lmfdb_iso': '16562.bv', 'p': 83, 'prec': 20, 'unit': 606654308716543152983389748518975590, 'val': 1}
  • id: 751700
    {'lmfdb_iso': '16562.bv', 'p': 89, 'prec': 20, 'unit': 2382412843813237249332919153341404218, 'val': 1}
  • id: 751688
    {'lmfdb_iso': '16562.bv', 'p': 97, 'prec': 20, 'unit': 55732313348491371647302189654101269071, '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: 109021
    {'Ciso': '16562bo', 'Clabel': '16562bo6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 14246703795204608, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, 1, 1, -22611443, 41375346865], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 16562, 'degree': 622080, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6685307336815094781602024473', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '16562.bv', 'lmfdb_label': '16562.bv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': -91, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.1', '72.72.1.?', '84.24.0.?', '126.108.2.?', '156.24.0.?', '168.48.1.?', '252.216.7.?', '273.8.0.?', '312.48.0.?', '468.72.0.?', '504.432.21.?', '546.24.0.?', '819.72.0.?', '936.144.1.?', '1092.48.0.?', '1638.216.2.?', '2184.96.1.?', '3276.432.7.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0509096334822088495970667803', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [3, 2, 8281], [7, 32, 338], [13, 86, 98]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235480', 'prec': 103}, 'szpiro_ratio': 6.4247413996555, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 109020
    {'Ciso': '16562bo', 'Clabel': '16562bo5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 1042044620449251328, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, 1, 1, -1412083, 647136433], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 16562, 'degree': 311040, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3219571434015368234515863866', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '16562.bv', 'lmfdb_label': '16562.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': -91, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '72.72.1.?', '78.24.0.?', '126.216.7.?', '168.48.1.?', '234.72.0.?', '273.8.0.?', '312.48.0.?', '504.432.21.?', '546.48.0.?', '819.72.0.?', '936.144.1.?', '1638.432.7.?', '2184.96.1.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0254548167411044247985333902', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [3, 2, 8281], [7, 32, 338], [13, 86, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294098', 'prec': 107}, 'szpiro_ratio': 5.568897955814714, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 109019
    {'Ciso': '16562bo', 'Clabel': '16562bo4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 534473997066972872, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, 1, 1, -294148, 50208829], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 16562, 'degree': 207360, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1192245893474546324625798289', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '16562.bv', 'lmfdb_label': '16562.bv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -91, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '24.72.1.h.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.a.1', '84.72.1.?', '126.108.2.?', '156.72.0.?', '168.144.5.?', '252.216.7.?', '273.24.0.?', '312.144.1.?', '504.432.21.?', '546.72.0.?', '819.72.0.?', '1092.144.1.?', '1638.216.2.?', '2184.288.5.?', '3276.432.7.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.1527289004466265487912003409', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [3, 2, 8281], [7, 32, 338], [13, 86, 98]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026360', 'prec': 107}, 'szpiro_ratio': 5.083870145409005, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 109017
    {'Ciso': '16562bo', 'Clabel': '16562bo2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 55651186700018, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, 1, 1, -87123, -9927793], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 16562, 'degree': 69120, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5699184450133997867649572104', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '16562.bv', 'lmfdb_label': '16562.bv4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': -91, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.2', '72.72.1.?', '84.24.0.?', '126.108.2.?', '156.24.0.?', '168.48.1.?', '252.216.7.?', '273.8.0.?', '312.48.0.?', '468.72.0.?', '504.432.21.?', '546.24.0.?', '819.72.0.?', '936.144.1.?', '1092.48.0.?', '1638.216.2.?', '2184.96.1.?', '3276.432.7.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.458186701339879646373601023', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [7, 32, 338], [13, 86, 98]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288210', 'prec': 107}, 'szpiro_ratio': 4.708127874894367, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 109016
    {'Ciso': '16562bo', 'Clabel': '16562bo1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 15900339057148, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, 1, 1, -4313, -222461], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 16562, 'degree': 34560, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2233448547334271320563411497', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '16562.bv', 'lmfdb_label': '16562.bv5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': -91, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.2', '72.72.1.?', '78.24.0.?', '126.216.7.?', '168.48.1.?', '234.72.0.?', '273.8.0.?', '312.48.0.?', '504.432.21.?', '546.48.0.?', '819.72.0.?', '936.144.1.?', '1638.432.7.?', '2184.96.1.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.2290933506699398231868005114', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [7, 32, 338], [13, 86, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 3.925111808714545, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 109018
    {'Ciso': '16562bo', 'Clabel': '16562bo3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 12465865820804032, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, 1, 1, 37092, 4630205], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 16562, 'degree': 103680, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7726509990674819777539637682', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '16562.bv', 'lmfdb_label': '16562.bv6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': -91, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '78.72.0.?', '126.216.7.?', '168.144.5.?', '273.24.0.?', '312.144.1.?', '504.432.21.?', '546.144.1.?', '819.72.0.?', '1638.432.7.?', '2184.288.5.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0763644502233132743956001705', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [3, 2, 8281], [7, 32, 338], [13, 86, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632430', 'prec': 107}, 'szpiro_ratio': 4.551033564833338, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}