Elliptic curve isogeny class data - 11858.bm

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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, -4, 0, 0, 1, 6, 1, 2, 0], 'aplist': [1, 2, 0, 0, 0, -4, 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': 11858, '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': '11858.bm', 'trace_hash': 1333834012027744305}
• lmfdb_iso 11858.bm does not appear in ec_padic
• 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: 77377
    {'Ciso': '11858bk', 'Clabel': '11858bk6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 5228900671672832, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, -16189258, -25078719401], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 414720, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5850036913499263821644305155', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': 77, '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.?', '132.24.0.?', '168.48.1.?', '231.8.0.?', '252.216.7.?', '264.48.0.?', '396.72.0.?', '462.24.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '924.48.0.?', '1386.216.2.?', '1848.96.1.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [3, 2, 5929], [7, 32, 242], [11, 62, 98]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235480', 'prec': 103}, 'szpiro_ratio': 6.546718118007573, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77376
    {'Ciso': '11858bk', 'Clabel': '11858bk5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 382456734842355712, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, -1011018, -392829865], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 207360, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2384301010699537274558144548', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 77, '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', '66.24.0-6.a.1.4', '72.72.1.?', '126.216.7.?', '168.48.1.?', '198.72.0.?', '231.8.0.?', '264.48.0.?', '462.48.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '1386.432.7.?', '1848.96.1.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [3, 2, 5929], [7, 32, 242], [11, 62, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294098', 'prec': 107}, 'szpiro_ratio': 5.660392672018147, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77375
    {'Ciso': '11858bk', 'Clabel': '11858bk4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 196165476760726088, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, -210603, -30579823], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 138240, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0356975470158715364668078971', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': 77, '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.?', '132.72.0.?', '168.144.5.?', '231.24.0.?', '252.216.7.?', '264.144.1.?', '462.72.0.?', '504.432.21.?', '693.72.0.?', '924.144.1.?', '1386.216.2.?', '1848.288.5.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [3, 2, 5929], [7, 32, 242], [11, 62, 98]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026360', 'prec': 107}, 'szpiro_ratio': 5.158089951270672, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77373
    {'Ciso': '11858bk', 'Clabel': '11858bk2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 20425393248722, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, -62378, 5966533], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 46080, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4863914026818166907691852786', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 77, '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.?', '132.24.0.?', '168.48.1.?', '231.8.0.?', '252.216.7.?', '264.48.0.?', '396.72.0.?', '462.24.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '924.48.0.?', '1386.216.2.?', '1848.96.1.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [7, 32, 242], [11, 62, 98]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288210', 'prec': 107}, 'szpiro_ratio': 4.768965120219305, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77372
    {'Ciso': '11858bk', 'Clabel': '11858bk1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 5835826642492, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, -3088, 132397], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 23040, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1398178124018440360605692179', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': 77, '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', '66.24.0-6.a.1.3', '72.72.1.?', '126.216.7.?', '168.48.1.?', '198.72.0.?', '231.8.0.?', '264.48.0.?', '462.48.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '1386.432.7.?', '1848.96.1.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [7, 32, 242], [11, 62, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 3.9580608957746954, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 77374
    {'Ciso': '11858bk', 'Clabel': '11858bk3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 4575288087713728, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, 26557, -2784671], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 69120, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6891239567358988817581918363', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 77, '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', '66.72.0-6.a.1.2', '126.216.7.?', '168.144.5.?', '231.24.0.?', '264.144.1.?', '462.144.1.?', '504.432.21.?', '693.72.0.?', '1386.432.7.?', '1848.288.5.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [3, 2, 5929], [7, 32, 242], [11, 62, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632440', 'prec': 107}, 'szpiro_ratio': 4.60627568743895, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}