Elliptic curve data - 405720.gr3

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• 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[]

  
  {'Ciso': '405720gr', 'Clabel': '405720gr4', 'Cnumber': 4, 'abc_quality': 0.943931488385232, 'absD': 60966067889903621760000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 19320, 'ainvs': [0, 0, 0, -39284427, -94024215754], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 405720, 'degree': 44040192, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1943429507349943203690177181', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 173, 'isogeny_degrees': [1, 2, 4], 'jinv': [76343005935514084, 694180580625], 'lmfdb_iso': '405720.gr', 'lmfdb_label': '405720.gr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -89080, -10182400], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0-4.b.1.6', '40.24.0.h.1', '56.24.0.e.1', '84.24.0.?', '120.48.0.?', '168.48.0.?', '184.24.0.?', '280.48.0.?', '552.48.0.?', '840.96.0.?', '920.48.0.?', '1288.48.0.?', '2760.96.0.?', '3864.96.0.?', '6440.96.1.?', '19320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9046288523337286625423533626', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0944590814066617309376919600', 'prec': 100}, 'szpiro_ratio': 4.961708553262928, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• 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, 1, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 1, 0, 4, 2, 2, 4, 1, 2, -8, 6, -6, -4, 8, 10, -12, -14, -12, -16, 14, 8, -12, -14, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 405720, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '405720.gr', 'trace_hash': 934877742675962533}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0016804630450839279354807859272', 'prec': 110}, 'conductor': 405720, 'gens': [[642103, 512469440, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '5.9046288523337286625423533626', 'prec': 100}], 'lmfdb_label': '405720.gr3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.060336868282924382705911925925', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.400538026330084845237500284089900553', 'prec': 130}, 'tamagawa_product': 512, 'torsion_generators': [[-3878, 0, 1], [7231, 0, 1]], 'xcoord_integral_points': [-3878, -3353, 7231]}
• lmfdb_label 405720.gr3 does not appear in ec_iwasawa
• lmfdb_label 405720.gr3 does not appear in ec_torsion_growth
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 10032816
    {'conductor': 405720, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '405720.gr3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10032817
    {'conductor': 405720, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '405720.gr3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10032818
    {'conductor': 405720, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '405720.gr3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10032819
    {'conductor': 405720, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '405720.gr3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10032820
    {'conductor': 405720, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '405720.gr3', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4177970
    {'adelic_gens': [[19313, 8, 19312, 9], [5, 4, 19316, 19317], [1, 8058, 6444, 17743], [1, 0, 8, 1], [1, 8, 0, 1], [15457, 12888, 10308, 12913], [6439, 0, 0, 19319], [6721, 6444, 0, 1], [12883, 11274, 17706, 19315], [19313, 6438, 11058, 5]], 'adelic_image': '19320.192.1.?', 'conductor': 405720, 'lmfdb_label': '405720.gr3', 'prime': 0}
  • id: 1376306
    {'conductor': 405720, 'elladic_image': '4.12.0.3', 'lmfdb_label': '405720.gr3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 405720.gr does not appear in ec_padic