Elliptic curve isogeny class data - 7056.q

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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, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -2, 0, 4, 2, 2, -4, -8, -6, 8, 6, -6, -4, 0, 2, -4, 2, 4, 8, -10, 8, 4, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 7056, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '7056.q', 'trace_hash': 2136425971010838049}
• ec_padic •

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

  
  
  • id: 285596
    {'lmfdb_iso': '7056.q', 'p': 5, 'prec': 20, 'unit': 1692725606352, 'val': 1}
  • id: 285604
    {'lmfdb_iso': '7056.q', 'p': 11, 'prec': 20, 'unit': 20573822734769631590, 'val': 1}
  • id: 285602
    {'lmfdb_iso': '7056.q', 'p': 13, 'prec': 20, 'unit': 385162931278710485893, 'val': 1}
  • id: 285605
    {'lmfdb_iso': '7056.q', 'p': 17, 'prec': 20, 'unit': 2897341003212692728564, 'val': 2}
  • id: 285606
    {'lmfdb_iso': '7056.q', 'p': 19, 'prec': 20, 'unit': 868982495581365896191599, 'val': 1}
  • id: 285609
    {'lmfdb_iso': '7056.q', 'p': 23, 'prec': 20, 'unit': 20854862995411147886239167, 'val': 1}
  • id: 285601
    {'lmfdb_iso': '7056.q', 'p': 29, 'prec': 20, 'unit': 376126278920404766196007668, 'val': 1}
  • id: 285598
    {'lmfdb_iso': '7056.q', 'p': 31, 'prec': 20, 'unit': 16824721664049102849968115323, 'val': 1}
  • id: 285613
    {'lmfdb_iso': '7056.q', 'p': 37, 'prec': 20, 'unit': 217141843950839179187314541751, 'val': 1}
  • id: 285599
    {'lmfdb_iso': '7056.q', 'p': 41, 'prec': 20, 'unit': 879327902943622460119867845619, 'val': 1}
  • id: 285600
    {'lmfdb_iso': '7056.q', 'p': 43, 'prec': 20, 'unit': 3490549681464487350432857322798, 'val': 1}
  • id: 285607
    {'lmfdb_iso': '7056.q', 'p': 53, 'prec': 20, 'unit': 208789443719950295319583205724371, 'val': 1}
  • id: 285611
    {'lmfdb_iso': '7056.q', 'p': 59, 'prec': 20, 'unit': 284006398357855956196249242385801, 'val': 1}
  • id: 285612
    {'lmfdb_iso': '7056.q', 'p': 61, 'prec': 20, 'unit': 8017269362870967771961770890087076, 'val': 1}
  • id: 285595
    {'lmfdb_iso': '7056.q', 'p': 67, 'prec': 20, 'unit': 16771748017825594257321376808440818, 'val': 1}
  • id: 285597
    {'lmfdb_iso': '7056.q', 'p': 71, 'prec': 20, 'unit': 53076997929551413603592354391943997, 'val': 1}
  • id: 285608
    {'lmfdb_iso': '7056.q', 'p': 73, 'prec': 20, 'unit': 60830877517718459035846899924724060, 'val': 1}
  • id: 285603
    {'lmfdb_iso': '7056.q', 'p': 79, 'prec': 20, 'unit': 10679375910988284597786921798726816, 'val': 1}
  • id: 285594
    {'lmfdb_iso': '7056.q', 'p': 83, 'prec': 20, 'unit': 1117676197826661714503252444342723298, 'val': 1}
  • id: 285610
    {'lmfdb_iso': '7056.q', 'p': 89, 'prec': 20, 'unit': 4047194903387916509450889757178314058, 'val': 1}
  • id: 285593
    {'lmfdb_iso': '7056.q', 'p': 97, 'prec': 20, 'unit': 3781807592752538122286554687236205929, '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: 45161
    {'Ciso': '7056z', 'Clabel': '7056z5', 'Cnumber': 5, 'abc_quality': 1.2105879594055395, 'absD': 1580841142272, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 0, 0, -169491, 26857586], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 7056, 'degree': 24576, 'elladic_images': ['16.48.0.210'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5700561133417995350085204348', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '7056.q', 'lmfdb_label': '7056.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '16.48.0.l.1', '24.48.0.bf.1', '48.96.1.bv.1', '56.48.0-8.r.1.5', '84.12.0.?', '112.96.0.?', '168.96.0.?', '336.192.1.?'], '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': '0.64528977739308943704780835995', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 784], [7, 26, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800006', 'prec': 107}, 'szpiro_ratio': 5.386734604591256, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 45159
    {'Ciso': '7056z', 'Clabel': '7056z3', 'Cnumber': 3, 'abc_quality': 1.0561716345991692, 'absD': 263473523712, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 0, 0, -28371, -1839166], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 7056, 'degree': 12288, 'elladic_images': ['16.48.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2234825230618268802999043741', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '7056.q', 'lmfdb_label': '7056.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0.h.1', '16.48.0.bb.2', '24.48.0.bn.1', '28.12.0-4.c.1.2', '48.96.1.em.1', '56.48.0-8.bb.2.3', '84.24.0.?', '112.96.0.?', '168.96.0.?', '336.192.1.?'], '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': '5.1623182191447154963824668796', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 784], [7, 26, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138397', 'prec': 107}, 'szpiro_ratio': 4.781620780488623, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 45160
    {'Ciso': '7056z', 'Clabel': '7056z4', 'Cnumber': 4, 'abc_quality': 1.0321229303519712, 'absD': 7113785140224, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [0, 0, 0, -10731, 408170], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 7056, 'degree': 12288, 'elladic_images': ['8.48.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2234825230618268802999043741', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [1556068, 81], 'lmfdb_iso': '7056.q', 'lmfdb_label': '7056.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, -36], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.e.2', '24.96.1.bl.2', '56.96.0-8.e.2.4', '84.24.0.?', '168.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2905795547861788740956167199', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 784], [7, 26, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138397', 'prec': 107}, 'szpiro_ratio': 4.452483696324943, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 45158
    {'Ciso': '7056z', 'Clabel': '7056z2', 'Cnumber': 2, 'abc_quality': 0.972547111469975, 'absD': 197605142784, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 168, 'ainvs': [0, 0, 0, -1911, -24010], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 7056, 'degree': 6144, 'elladic_images': ['8.48.0.138'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87690893278185422559128831336', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '7056.q', 'lmfdb_label': '7056.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.h.1', '12.24.0.c.1', '24.96.1.bu.1', '28.24.0-4.b.1.2', '56.96.0-8.h.1.4', '84.48.0.?', '168.192.1.?'], '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': '2.5811591095723577481912334398', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 784], [7, 26, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 3.8683329080987265, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 45157
    {'Ciso': '7056z', 'Clabel': '7056z1', 'Cnumber': 1, 'abc_quality': 1.1757189916348774, 'absD': 4116773808, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 0, 0, 294, -2401], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 7056, 'degree': 3072, 'elladic_images': ['16.48.0.150'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53033534250188157088267225263', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '7056.q', 'lmfdb_label': '7056.q5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.ba.1', '12.12.0.g.1', '16.48.0.y.1', '24.48.0.bi.2', '28.12.0-4.c.1.1', '48.96.1.dt.1', '56.48.0-8.ba.1.2', '84.24.0.?', '112.96.0.?', '168.96.0.?', '336.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2905795547861788740956167199', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 784], [7, 26, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 3.282738606755849, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 45162
    {'Ciso': '7056z', 'Clabel': '7056z6', 'Cnumber': 6, 'abc_quality': 1.1597991410868231, 'absD': 1152433192716288, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 336, 'ainvs': [0, 0, 0, 6909, 1618274], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 7056, 'degree': 24576, 'elladic_images': ['8.48.0.218'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5700561133417995350085204348', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '7056.q', 'lmfdb_label': '7056.q6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.1', '48.96.1.w.2', '84.12.0.?', '112.96.0.?', '168.96.0.?', '336.192.1.?'], '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': '2.5811591095723577481912334398', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 784], [7, 26, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800006', 'prec': 107}, 'szpiro_ratio': 4.752722676648474, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}