Elliptic curve isogeny class data - 1824.g

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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, -2, 0, -4, 0, 1, 0, 4, 0, 2, 0, -2, 0, 2, 0, -1, 0], 'aplist': [0, 1, -2, -4, 4, 2, 2, -1, -4, -6, 0, 2, -6, -12, -4, 2, -12, -10, -4, 0, 10, -8, -12, -14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 1824, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1824.g', 'trace_hash': 489822141621107607}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 51677
    {'lmfdb_iso': '1824.g', 'p': 5, 'prec': 20, 'unit': 11465420361774, 'val': 1}
  • id: 51678
    {'lmfdb_iso': '1824.g', 'p': 7, 'prec': 20, 'unit': 1049320127653036, 'val': 1}
  • id: 51676
    {'lmfdb_iso': '1824.g', 'p': 11, 'prec': 20, 'unit': 57806102391604166562, 'val': 1}
  • id: 51682
    {'lmfdb_iso': '1824.g', 'p': 13, 'prec': 20, 'unit': 1277125875129271183371, 'val': 1}
  • id: 51684
    {'lmfdb_iso': '1824.g', 'p': 17, 'prec': 20, 'unit': 229864870407346387237915, 'val': 1}
  • id: 51689
    {'lmfdb_iso': '1824.g', 'p': 23, 'prec': 20, 'unit': 55131966855389102262893551, 'val': 1}
  • id: 51681
    {'lmfdb_iso': '1824.g', 'p': 29, 'prec': 20, 'unit': 1368729377573591111819536518, 'val': 1}
  • id: 51693
    {'lmfdb_iso': '1824.g', 'p': 37, 'prec': 20, 'unit': 170386379496489824374279380659, 'val': 1}
  • id: 51679
    {'lmfdb_iso': '1824.g', 'p': 41, 'prec': 20, 'unit': 2729154715222853102237274738451, 'val': 1}
  • id: 51680
    {'lmfdb_iso': '1824.g', 'p': 43, 'prec': 20, 'unit': 5429266002487508913730080931722, 'val': 1}
  • id: 51691
    {'lmfdb_iso': '1824.g', 'p': 47, 'prec': 20, 'unit': 5110830133826484709262012078966, 'val': 1}
  • id: 51686
    {'lmfdb_iso': '1824.g', 'p': 53, 'prec': 20, 'unit': 427005436429418421169251964723503, 'val': 1}
  • id: 51687
    {'lmfdb_iso': '1824.g', 'p': 59, 'prec': 20, 'unit': 4343641907070773917317925037063020, 'val': 1}
  • id: 51692
    {'lmfdb_iso': '1824.g', 'p': 61, 'prec': 20, 'unit': 3381552627103540427521472263235450, 'val': 1}
  • id: 51685
    {'lmfdb_iso': '1824.g', 'p': 67, 'prec': 20, 'unit': 15694228937496138542826985658261188, 'val': 1}
  • id: 51688
    {'lmfdb_iso': '1824.g', 'p': 73, 'prec': 20, 'unit': 42754972374385567125566305600275255, 'val': 1}
  • id: 51683
    {'lmfdb_iso': '1824.g', 'p': 79, 'prec': 20, 'unit': 1019548406557684050906205628087185830, 'val': 1}
  • id: 51675
    {'lmfdb_iso': '1824.g', 'p': 83, 'prec': 20, 'unit': 2417320980146028790138469464615977335, 'val': 1}
  • id: 51690
    {'lmfdb_iso': '1824.g', 'p': 89, 'prec': 20, 'unit': 2123075986334307941922313784079073434, 'val': 1}
  • id: 51674
    {'lmfdb_iso': '1824.g', 'p': 97, 'prec': 20, 'unit': 4391644307966046554305523205099675980, 'val': 1}
• 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: 10235
    {'Ciso': '1824i', 'Clabel': '1824i2', 'Cnumber': 2, 'abc_quality': 0.9835305767683096, 'absD': 87552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 152, 'ainvs': [0, 1, 0, -1824, -30600], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1824, 'degree': 768, 'elladic_images': ['8.24.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36359036125760046510406058715', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [1311494070536, 171], 'lmfdb_iso': '1824.g', 'lmfdb_label': '1824.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1824, 30600], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.m.1.5', '76.12.0.?', '152.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0557964567741177831374234008', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 19], [3, 4, 608], [19, 20, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15627002416235851695886350394', 'prec': 107}, 'szpiro_ratio': 4.546741299802642, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10236
    {'Ciso': '1824i', 'Clabel': '1824i3', 'Cnumber': 3, 'abc_quality': 0.9683473674013149, 'absD': 510603264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 152, 'ainvs': [0, 1, 0, -209, 351], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1824, 'degree': 768, 'elladic_images': ['8.24.0.53'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36359036125760046510406058715', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [247673152, 124659], 'lmfdb_iso': '1824.g', 'lmfdb_label': '1824.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -209, -351], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.m.1.1', '76.24.0.?', '152.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0139491141935294457843558502', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [3, 4, 608], [19, 20, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32955681930234484431317153431', 'prec': 107}, 'szpiro_ratio': 3.6817379475397622, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 10234
    {'Ciso': '1824i', 'Clabel': '1824i1', 'Cnumber': 1, 'abc_quality': 1.1884890277128586, 'absD': 1871424, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 152, 'ainvs': [0, 1, 0, -114, -504], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1824, 'degree': 384, 'elladic_images': ['8.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.017016770977627810395444526422', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [2582630848, 29241], 'lmfdb_iso': '1824.g', 'lmfdb_label': '1824.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -114, 504], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.b.1.2', '76.24.0.?', '152.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0278982283870588915687117004', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 608], [19, 20, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32955681930234484431317153431', 'prec': 107}, 'szpiro_ratio': 3.4400971716495183, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 10237
    {'Ciso': '1824i', 'Clabel': '1824i4', 'Cnumber': 4, 'abc_quality': 1.034713906926563, 'absD': 600519168, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 152, 'ainvs': [0, 1, 0, -24, -1188], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1824, 'degree': 768, 'elladic_images': ['8.24.0.59'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.36359036125760046510406058715', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3112136, 1172889], 'lmfdb_iso': '1824.g', 'lmfdb_label': '1824.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, 1188], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.d.1.1', '152.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0557964567741177831374234008', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 608], [19, 20, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15627002416235851695886350394', 'prec': 107}, 'szpiro_ratio': 3.6849572095371212, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}