Elliptic curve isogeny class data - 21450.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, 1, 1, 0, -1, 4, -1, 1, 0, 1, 1, 1, -4, 0, 1, -2, -1, 4, 0], 'aplist': [-1, 1, 0, 4, 1, 1, -2, 4, 0, 2, 8, 6, -6, 4, 0, 2, -12, 2, 12, 0, 14, 0, -4, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 21450, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '21450.bm', 'trace_hash': 1817349083475122081}
• lmfdb_iso 21450.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
  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: 142395
    {'Ciso': '21450bf', 'Clabel': '21450bf4', 'Cnumber': 4, 'abc_quality': 0.9480370522538778, 'absD': 904921875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 1, -152651, 22943198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21450, 'degree': 110592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5377244566098659308303004278', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [25176685646263969, 57915000], 'lmfdb_iso': '21450.bm', 'lmfdb_label': '21450.bm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -6106, 181103], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '40.12.0-4.c.1.2', '120.24.0.?', '1144.12.0.?', '2860.12.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3575], [3, 4, 3575], [5, 18, 858], [11, 12, 1950], [13, 14, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73300550039281574352992076119', 'prec': 103}, 'szpiro_ratio': 4.754741837622957, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 142393
    {'Ciso': '21450bf', 'Clabel': '21450bf2', 'Cnumber': 2, 'abc_quality': 0.8963574766727707, 'absD': 4601025000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 1, -9651, 349198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21450, 'degree': 55296, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1911508663298932761216843671', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2], 'jinv': [6361447449889, 294465600], 'lmfdb_iso': '21450.bm', 'lmfdb_label': '21450.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -386, 2639], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '40.12.0-2.a.1.1', '120.24.0.?', '1144.12.0.?', '2860.12.0.?', '3432.24.0.?', '5720.24.0.?', '8580.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 3575], [5, 18, 858], [11, 12, 1950], [13, 14, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38643191011284308882130470049', 'prec': 103}, 'szpiro_ratio': 3.9241974541777993, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 142392
    {'Ciso': '21450bf', 'Clabel': '21450bf1', 'Cnumber': 1, 'abc_quality': 0.8577893570160732, 'absD': 137280000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 1, -1651, -18802], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21450, 'degree': 27648, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84457727604992062141306830633', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [31824875809, 8785920], 'lmfdb_iso': '21450.bm', 'lmfdb_label': '21450.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -66, -177], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0-4.c.1.4', '120.24.0.?', '1144.12.0.?', '2860.12.0.?', '3432.24.0.?', '4290.6.0.?', '5720.24.0.?', '8580.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10725], [3, 4, 3575], [5, 18, 858], [11, 12, 1950], [13, 14, 1650]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.039858319832870434112688639717', 'prec': 107}, 'szpiro_ratio': 3.393012450051321, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 142394
    {'Ciso': '21450bf', 'Clabel': '21450bf3', 'Cnumber': 3, 'abc_quality': 0.9539844156603843, 'absD': 784053001875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [1, 0, 1, 5349, 1339198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21450, 'degree': 110592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5377244566098659308303004278', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [1083523132511, 50179392120], 'lmfdb_iso': '21450.bm', 'lmfdb_label': '21450.bm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 214, 10799], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.1', '120.24.0.?', '1144.12.0.?', '3432.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 3575], [5, 18, 858], [11, 12, 1950], [13, 14, 1650]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73300550039281574352992076119', 'prec': 103}, 'szpiro_ratio': 4.184862588581039, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}