Elliptic curve isogeny class data - 41650.bp

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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, 6, -2, 2, 0, 0, 1, 1, 1, -8, 0], 'aplist': [1, -2, 0, 0, 6, 2, 1, -8, 6, -6, -2, -2, 6, 4, 12, -6, 0, -2, -8, -6, 2, -10, 12, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 41650, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '41650.bp', 'trace_hash': 1695411000542865867}
• lmfdb_iso 41650.bp 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: 277424
    {'Ciso': '41650cf', 'Clabel': '41650cf3', 'Cnumber': 3, 'abc_quality': 1.042560452096738, 'absD': 8192135168000000000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 14280, 'ainvs': [1, 0, 0, -5106438, 873211492], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 41650, 'degree': 4147200, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8951505077867400352181162552', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8010684753304969, 4456448000000], 'lmfdb_iso': '41650.bp', 'lmfdb_label': '41650.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4169, -20724], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '24.48.0.bq.2', '34.6.0.a.1', '68.12.0.e.1', '102.24.0.?', '105.8.0.?', '204.48.1.?', '210.24.0.?', '280.12.0.?', '340.24.0.?', '408.96.3.?', '420.48.0.?', '840.96.0.?', '952.24.0.?', '1020.96.3.?', '1428.96.1.?', '2040.192.9.?', '2856.192.3.?', '3570.48.0.?', '4760.48.0.?', '7140.192.3.?', '14280.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 20825], [3, 2, 20825], [5, 18, 1666], [7, 26, 850], [17, 18, 2450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1174764770420331953650602169', 'prec': 100}, 'szpiro_ratio': 5.448089911383551, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 277422
    {'Ciso': '41650cf', 'Clabel': '41650cf1', 'Cnumber': 1, 'abc_quality': 0.9894109418057115, 'absD': 57800953700000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 14280, 'ainvs': [1, 0, 0, -3128063, -2129649383], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 41650, 'degree': 1382400, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3458443634526851895204936367', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1841373668746009, 31443200], 'lmfdb_iso': '41650.bp', 'lmfdb_label': '41650.bp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2554, 49452], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '24.48.0.bq.1', '34.6.0.a.1', '68.12.0.e.1', '102.24.0.?', '105.8.0.?', '204.48.1.?', '210.24.0.?', '280.12.0.?', '340.24.0.?', '408.96.3.?', '420.48.0.?', '840.96.0.?', '952.24.0.?', '1020.96.3.?', '1428.96.1.?', '2040.192.9.?', '2856.192.3.?', '3570.48.0.?', '4760.48.0.?', '7140.192.3.?', '14280.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 20825], [3, 2, 2450], [5, 18, 1666], [7, 26, 850], [17, 18, 2450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56817033270797834966743759836', 'prec': 103}, 'szpiro_ratio': 5.309868931534065, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 277423
    {'Ciso': '41650cf', 'Clabel': '41650cf2', 'Cnumber': 2, 'abc_quality': 0.9921013018955642, 'absD': 443712633637656250000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 14280, 'ainvs': [1, 0, 0, -3030063, -2269299383], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 41650, 'degree': 2764800, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6924179537326578442291096975', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1673672305534489, 241375690000], 'lmfdb_iso': '41650.bp', 'lmfdb_label': '41650.bp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2474, 52716], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '24.48.0.bh.1', '68.12.0.d.1', '105.8.0.?', '204.48.1.?', '210.24.0.?', '280.12.0.?', '408.96.3.?', '420.48.0.?', '680.24.0.?', '840.96.0.?', '952.24.0.?', '2040.192.9.?', '2856.192.3.?', '4760.48.0.?', '7140.96.1.?', '14280.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 2, 2450], [5, 18, 1666], [7, 26, 850], [17, 18, 2450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91474392298795100437605365917', 'prec': 103}, 'szpiro_ratio': 5.321810235508392, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 277425
    {'Ciso': '41650cf', 'Clabel': '41650cf4', 'Cnumber': 4, 'abc_quality': 1.0569023051760313, 'absD': 531258765625000000000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 14280, 'ainvs': [1, 0, 0, 19981562, 6919419492], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 41650, 'degree': 8294400, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2417240980667126899267323159', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [479958568556831351, 289000000000000], 'lmfdb_iso': '41650.bp', 'lmfdb_label': '41650.bp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 16311, -159988], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '24.48.0.bh.2', '68.12.0.d.1', '105.8.0.?', '204.48.1.?', '210.24.0.?', '280.12.0.?', '408.96.3.?', '420.48.0.?', '680.24.0.?', '840.96.0.?', '952.24.0.?', '2040.192.9.?', '2856.192.3.?', '4760.48.0.?', '7140.96.1.?', '14280.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [3, 2, 20825], [5, 18, 1666], [7, 26, 850], [17, 18, 2450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4640500673220058500736762776', 'prec': 100}, 'szpiro_ratio': 5.832869618358686, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}