Elliptic curve isogeny class data - 371800.bw

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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, 0, 0, 0, 0, 4, 0, -3, 0, 1, 0, 0, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 0, 4, 1, 0, 6, -4, -4, -2, -8, -10, -10, 0, 4, 10, 4, -2, -8, 0, -14, -16, -8, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 371800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '371800.bw', 'trace_hash': 738746506819259739}
• lmfdb_iso 371800.bw 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: 2316798
    {'Ciso': '371800bw', 'Clabel': '371800bw4', 'Cnumber': 4, 'abc_quality': 1.1395461376610276, 'absD': 2069338752081458000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11440, 'ainvs': [0, 0, 0, -31886075, -3566280250], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 371800, 'degree': 53084160, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3552995991126764266168426549', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [46424454082884, 26794860125], 'lmfdb_iso': '371800.bw', 'lmfdb_label': '371800.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7547, -12986], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '20.12.0.g.1', '40.48.0.bq.1', '52.12.0-4.c.1.1', '104.24.0.?', '176.24.0.?', '260.24.0.?', '520.96.0.?', '880.96.3.?', '2288.48.0.?', '11440.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [5, 18, 14872], [11, 12, 33800], [13, 86, 2200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69048331369823678010869249962', 'prec': 103}, 'szpiro_ratio': 4.946678002123563, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2316796
    {'Ciso': '371800bw', 'Clabel': '371800bw2', 'Cnumber': 2, 'abc_quality': 1.1409576977936815, 'absD': 4416831910562500000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 5720, 'ainvs': [0, 0, 0, -21323575, 37764782250], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 371800, 'degree': 26542080, 'elladic_images': ['4.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0087260088327037719082265942', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2], 'jinv': [55537159171536, 228765625], 'lmfdb_iso': '371800.bw', 'lmfdb_label': '371800.bw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5047, 137514], 'min_quad_twist_disc': 65, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '20.24.0.b.1', '40.48.0.g.1', '52.24.0-4.a.1.2', '88.24.0.?', '260.48.0.?', '440.96.3.?', '520.96.0.?', '1144.48.0.?', '5720.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [5, 18, 14872], [11, 12, 33800], [13, 86, 2200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45943425351158834363628179250', 'prec': 103}, 'szpiro_ratio': 4.852567765240892, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2316795
    {'Ciso': '371800bw', 'Clabel': '371800bw1', 'Cnumber': 1, 'abc_quality': 1.058821720855416, 'absD': 18251371531250000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11440, 'ainvs': [0, 0, 0, -21302450, 37843599625], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 371800, 'degree': 13271040, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6621524185527311171996105334', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [885956203616256, 15125], 'lmfdb_iso': '371800.bw', 'lmfdb_label': '371800.bw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5042, 137801], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '20.12.0.g.1', '40.48.0.bq.2', '52.12.0-4.c.1.2', '104.24.0.?', '176.24.0.?', '260.24.0.?', '520.96.0.?', '880.96.3.?', '2288.48.0.?', '11440.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [5, 18, 14872], [11, 12, 33800], [13, 86, 2200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34390972341826412540007643885', 'prec': 103}, 'szpiro_ratio': 4.8523359306890885, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2316797
    {'Ciso': '371800bw', 'Clabel': '371800bw3', 'Cnumber': 3, 'abc_quality': 1.1038914936992343, 'absD': 2281421441406250000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11440, 'ainvs': [0, 0, 0, -11099075, 74051532750], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 371800, 'degree': 53084160, 'elladic_images': ['4.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3552995991126764266168426549', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1957960715364, 29541015625], 'lmfdb_iso': '371800.bw', 'lmfdb_label': '371800.bw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2627, 269646], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '40.24.0.w.1', '44.24.0.d.1', '80.48.0.?', '104.24.0.?', '260.24.0.?', '440.48.1.?', '520.48.0.?', '880.96.3.?', '1040.96.0.?', '1144.48.0.?', '2860.48.0.?', '5720.96.1.?', '11440.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [5, 18, 14872], [11, 12, 33800], [13, 86, 2200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69048331369823678010869249962', 'prec': 103}, 'szpiro_ratio': 4.957012919511298, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}