Elliptic curve isogeny class data - 98.a

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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': 98, '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': '98.a', 'trace_hash': 2026905699581932632}
• lmfdb_iso 98.a 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
  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: 290
    {'Ciso': '98a', 'Clabel': '98a6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 2951578112, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 1, 0, -133795, 18781197], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 98, 'degree': 288, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3860560549507411101334587266', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '98.a', 'lmfdb_label': '98.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': -7, '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', '12.24.0-6.a.1.5', '18.36.0.a.1', '21.8.0-3.a.1.2', '24.48.0-24.y.1.8', '28.6.0.c.1', '36.72.0-18.a.1.8', '42.24.0-6.a.1.4', '56.12.0.k.1', '63.72.0-63.d.1.2', '72.144.1.?', '84.48.0.?', '126.216.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 2, 49], [7, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235488', 'prec': 103}, 'szpiro_ratio': 10.256519179272527, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 289
    {'Ciso': '98a', 'Clabel': '98a5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 215886856192, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 1, 0, -8355, 291341], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 98, 'degree': 144, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0394824646707684554248426658', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '98.a', 'lmfdb_label': '98.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.72.0-18.a.1.3', '21.8.0-3.a.1.2', '24.48.0-24.bw.1.6', '42.48.0-42.b.1.2', '56.12.0.n.1', '63.72.0-63.d.1.2', '72.144.1.?', '126.432.7.?', '168.96.1.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 2, 49], [7, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294078', 'prec': 107}, 'szpiro_ratio': 8.443113832722847, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 288
    {'Ciso': '98a', 'Clabel': '98a4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 110730297608, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 1, 0, -1740, 22184], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 98, 'degree': 96, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83674991061668626443583610810', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '98.a', 'lmfdb_label': '98.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -7, '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', '12.72.0-6.a.1.3', '21.24.0-3.a.1.1', '24.144.1-24.h.1.7', '28.6.0.c.1', '42.72.0-6.a.1.1', '56.12.0.k.1', '63.72.0-63.a.1.2', '84.144.1.?', '126.216.2.?', '168.288.5.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 2, 49], [7, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026362', 'prec': 107}, 'szpiro_ratio': 7.415411826071008, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 286
    {'Ciso': '98a', 'Clabel': '98a2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 11529602, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 1, 0, -515, -4717], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 98, 'degree': 32, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28744376628263141873821348964', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '98.a', 'lmfdb_label': '98.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': -7, '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', '12.24.0-6.a.1.11', '18.36.0.a.1', '21.8.0-3.a.1.1', '24.48.0-24.y.1.6', '28.6.0.c.1', '36.72.0-18.a.1.11', '42.24.0-6.a.1.3', '56.12.0.k.1', '63.72.0-63.d.2.1', '72.144.1.?', '84.48.0.?', '126.216.2.?', '168.96.1.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [7, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288208', 'prec': 107}, 'szpiro_ratio': 6.6192696727606455, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 285
    {'Ciso': '98a', 'Clabel': '98a1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 3294172, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 1, 0, -25, -111], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 98, 'degree': 16, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.059129823997341235970402571094', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '98.a', 'lmfdb_label': '98.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.72.0-18.a.1.4', '21.8.0-3.a.1.1', '24.48.0-24.bw.1.2', '42.48.0-42.b.1.1', '56.12.0.n.1', '63.72.0-63.d.2.1', '72.144.1.?', '126.432.7.?', '168.96.1.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [7, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 4.9601747400793155, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 287
    {'Ciso': '98a', 'Clabel': '98a3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 2582630848, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 1, 0, 220, 2192], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 98, 'degree': 48, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49017632033671360972722004737', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '98.a', 'lmfdb_label': '98.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.72.0-6.a.1.2', '8.6.0.c.1', '14.6.0.b.1', '21.24.0-3.a.1.1', '24.144.1-24.n.1.5', '42.144.1-42.d.1.1', '56.12.0.n.1', '63.72.0-63.a.1.2', '126.432.7.?', '168.288.5.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 2, 49], [7, 32, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'szpiro_ratio': 6.286410124875624, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}