Elliptic curve data - 310464.ht1

Formats: - HTML - YAML - JSON - 2024-05-10T05:57:04.891963

• 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': '310464ht', 'Clabel': '310464ht2', 'Cnumber': 2, 'abc_quality': 0.8862978715217253, 'absD': 143121420288, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, -8820, -318304], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 310464, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0306087396467790192051825611', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 201, 'isogeny_degrees': [1, 2], 'jinv': [5832000, 11], 'lmfdb_iso': '310464.ht', 'lmfdb_label': '310464.ht1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -405, -3132], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '44.6.0.e.1', '66.6.0.a.1', '132.12.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91014658760785036561353724131', 'prec': 107}, 'szpiro_ratio': 3.073578822657118, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, -2, 0, 6, 0], 'aplist': [0, 0, 0, 0, -1, -2, -2, 6, -4, 10, -8, 6, -6, 6, 0, -12, 12, -6, 8, -8, 10, -10, 4, 16, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 310464, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '310464.ht', 'trace_hash': 147638502678194204}
• 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': '0.12729889174696443713401442788', 'prec': 103}, 'conductor': 310464, 'gens': [], 'heights': [], 'lmfdb_label': '310464.ht1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.49269892616504849497620624895', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9707957046601939799048249958053784904', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-56, 0, 1]], 'xcoord_integral_points': [-56]}
• lmfdb_label 310464.ht1 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 13098694
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '310464.ht1', 'torsion': [2, 2]}
  • id: 13098695
    {'degree': 4, 'field': [1617, 0, 84, 0, 1], 'lmfdb_label': '310464.ht1', 'torsion': [4]}
  • id: 13098698
    {'degree': 8, 'field': [-130070, -160936, -37016, 1348, 2672, -92, -50, -4, 1], 'lmfdb_label': '310464.ht1', 'torsion': [6]}
  • id: 13098696
    {'degree': 8, 'field': [16384, 0, -29336, 0, 2268, 0, -74, 0, 1], 'lmfdb_label': '310464.ht1', 'torsion': [2, 4]}
  • id: 13098697
    {'degree': 8, 'field': [86436, 0, 86436, 0, 8085, 0, 168, 0, 1], 'lmfdb_label': '310464.ht1', 'torsion': [2, 4]}
  • id: 13098700
    {'degree': 16, 'field': [450567450, 960914520, -1148386356, -1159691724, 2063212524, -1291084524, 430673430, -85711692, 9246567, 325908, -383262, 75396, -8408, 428, 56, -8, 1], 'lmfdb_label': '310464.ht1', 'torsion': [2, 6]}
  • id: 13098699
    {'degree': 16, 'field': [511770256, -472884224, 432575872, -237428928, 120585504, -45202496, 15783456, -4329120, 1156744, -246464, 53056, -8560, 1608, -240, 56, -8, 1], 'lmfdb_label': '310464.ht1', 'torsion': [8]}
• 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: 7688967
    {'conductor': 310464, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '310464.ht1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7688968
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '310464.ht1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7688969
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '310464.ht1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7688970
    {'conductor': 310464, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '310464.ht1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 3613421
    {'adelic_gens': [[1, 2, 2, 5], [92, 1, 43, 0], [37, 100, 32, 99], [3, 4, 8, 11], [26, 1, 119, 0], [1, 4, 0, 1], [129, 4, 128, 5], [1, 0, 4, 1]], 'adelic_image': '132.12.0.?', 'conductor': 310464, 'lmfdb_label': '310464.ht1', 'prime': 0}
  • id: 1090180
    {'conductor': 310464, 'elladic_image': '2.3.0.1', 'lmfdb_label': '310464.ht1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 310464.ht does not appear in ec_padic