Elliptic curve isogeny class data - 369600.bg

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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, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, -1, -1, -2, -2, -4, 0, 2, -8, -10, -6, -4, 0, -2, 12, -14, 12, 0, 6, -16, -4, -14, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '369600.bg', 'trace_hash': 589325127372236265}
• lmfdb_iso 369600.bg 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2302937
    {'Ciso': '369600bg', 'Clabel': '369600bg6', 'Cnumber': 6, 'abc_quality': 1.00153318314077, 'absD': 646652160000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, -1, 0, -205336033, -1132451516063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 37748736, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1673797134353575654930896072', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [467508233804095622882, 315748125], 'lmfdb_iso': '369600.bg', 'lmfdb_label': '369600.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2053360, -1131835508], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '40.24.0-8.n.1.2', '48.24.0.g.1', '56.24.0.bu.2', '88.24.0.?', '240.48.0.?', '280.48.0.?', '336.48.0.?', '440.48.0.?', '528.48.0.?', '616.48.0.?', '1540.12.0.?', '1680.96.0.?', '2640.96.0.?', '3080.96.0.?', '3696.96.1.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.041478444782684343472047970', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3807022514250515231849644352', 'prec': 100}, 'szpiro_ratio': 5.384799307526086, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2302935
    {'Ciso': '369600bg', 'Clabel': '369600bg4', 'Cnumber': 4, 'abc_quality': 0.9670732682705956, 'absD': 192099600000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -12836033, -17684016063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 18874368, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8208061231553849107844735465', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [228410605013945764, 187597265625], 'lmfdb_iso': '369600.bg', 'lmfdb_label': '369600.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -128360, -17645508], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.m.1', '40.24.0-4.b.1.11', '56.24.0.h.2', '88.24.0.?', '120.48.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.0.?', '1540.24.0.?', '1848.96.1.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5207392223913421717360239851', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510513', 'prec': 100}, 'szpiro_ratio': 4.736042682761403, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2302936
    {'Ciso': '369600bg', 'Clabel': '369600bg5', 'Cnumber': 5, 'abc_quality': 0.9823979141579505, 'absD': 216562500000000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, -1, 0, -10064033, -25537092063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 37748736, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1673797134353575654930896072', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-55043996611705922, 105743408203125], 'lmfdb_iso': '369600.bg', 'lmfdb_label': '369600.bg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -100640, -25506900], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '40.24.0-8.n.1.2', '48.24.0.g.1', '112.24.0.?', '168.24.0.?', '176.24.0.?', '240.48.0.?', '264.24.0.?', '336.48.0.?', '528.48.0.?', '560.48.0.?', '616.24.0.?', '840.48.0.?', '880.48.0.?', '1232.48.0.?', '1320.48.0.?', '1540.12.0.?', '1680.96.0.?', '1848.48.0.?', '2640.96.0.?', '3080.48.0.?', '3696.96.1.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.041478444782684343472047970', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3807022514250515231849644352', 'prec': 100}, 'szpiro_ratio': 4.793241600598957, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2302934
    {'Ciso': '369600bg', 'Clabel': '369600bg3', 'Cnumber': 3, 'abc_quality': 0.9608384335507779, 'absD': 806675340979200000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, -1, 0, -8328033, 9151715937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 18874368, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8208061231553849107844735465', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62380825826921284, 787768887675], 'lmfdb_iso': '369600.bg', 'lmfdb_label': '369600.bg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -83280, 9176700], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '24.24.0.bl.1', '40.24.0-8.n.1.6', '56.24.0.bu.1', '120.48.0.?', '168.48.0.?', '176.24.0.?', '280.48.0.?', '528.48.0.?', '840.96.0.?', '880.48.0.?', '1232.48.0.?', '2640.96.0.?', '3696.96.1.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5207392223913421717360239851', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510513', 'prec': 100}, 'szpiro_ratio': 4.634804845146544, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2302933
    {'Ciso': '369600bg', 'Clabel': '369600bg2', 'Cnumber': 2, 'abc_quality': 0.9487204231083621, 'absD': 50620379040000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -978033, -146034063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 9437184, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4742325328754122560758574858', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [404151985581136, 197735855625], 'lmfdb_iso': '369600.bg', 'lmfdb_label': '369600.bg5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9780, -143100], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '12.24.0.c.1', '40.24.0-4.b.1.1', '56.24.0.h.1', '88.24.0.?', '120.48.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.0.?', '1848.96.1.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7603696111956710858680119925', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86084186600509254112204034415', 'prec': 103}, 'szpiro_ratio': 4.133601408424997, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2302932
    {'Ciso': '369600bg', 'Clabel': '369600bg1', 'Cnumber': 1, 'abc_quality': 0.9672385213274213, 'absD': 837049105200000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, -1, 0, 222467, -17580563], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 4718592, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1276589425954396013672414250', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [76102438406144, 52315569075], 'lmfdb_iso': '369600.bg', 'lmfdb_label': '369600.bg6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 2225, -18248], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0.n.1', '12.12.0.g.1', '24.24.0.bh.1', '40.24.0-8.n.1.6', '88.24.0.?', '112.24.0.?', '120.48.0.?', '264.48.0.?', '336.48.0.?', '440.48.0.?', '560.48.0.?', '1232.48.0.?', '1320.96.0.?', '1680.96.0.?', '3696.96.1.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5207392223913421717360239851', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74531733591176832288583499051', 'prec': 103}, 'szpiro_ratio': 3.787092966536112, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}