Elliptic curve data - 332592.be2

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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
  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[]

  
  {'Ciso': '332592be', 'Clabel': '332592be2', 'Cnumber': 2, 'abc_quality': 0.9971398836095032, 'absD': 10767943929839616, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4264, 'ainvs': [0, -1, 0, -78472, 6857200], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 332592, 'degree': 2654208, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7921904201835824786708018600', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2], 'jinv': [2703045457, 544644], 'lmfdb_iso': '332592.be', 'lmfdb_label': '332592.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -29, -51], 'min_quad_twist_disc': -52, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '52.12.0-2.a.1.1', '104.24.0.?', '164.12.0.?', '328.24.0.?', '2132.24.0.?', '4264.48.0.?'], '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, 169], [3, 4, 110864], [13, 86, 1968], [41, 42, 8112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18343143910713119877317398224', 'prec': 107}, 'szpiro_ratio': 3.572652756911654, '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, -1, 0, 2, 0, 4, 0, 1, 0, -4, 0, 0, 0, -2, 0, 2, 0, -4, 0], 'aplist': [0, -1, 2, 4, -4, 0, 2, -4, 0, -6, -8, 2, -1, -4, 12, -6, -4, -10, 12, -12, 6, -12, 12, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 332592, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '332592.be', 'trace_hash': 385852898743086645}
• 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': '0.027753846372769609947140314155', 'prec': 107}, 'conductor': 332592, 'gens': [], 'heights': [], 'lmfdb_label': '332592.be2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.38377358322494242040974583653', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5350943328997696816389833461340492070', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[100, 0, 1], [217, 0, 1]], 'xcoord_integral_points': [-316, 100, 217]}
• lmfdb_label 332592.be2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13943102
    {'degree': 4, 'field': [49, 0, -27, 0, 1], 'lmfdb_label': '332592.be2', 'torsion': [2, 4]}
  • id: 13943103
    {'degree': 4, 'field': [49, 0, -12, 0, 1], 'lmfdb_label': '332592.be2', 'torsion': [2, 4]}
  • id: 13943104
    {'degree': 4, 'field': [729, 0, -28, 0, 1], 'lmfdb_label': '332592.be2', 'torsion': [2, 4]}
  • id: 13943105
    {'degree': 8, 'field': [-1370928, 0, 219700, 0, -4056, 0, 0, 0, 1], 'lmfdb_label': '332592.be2', 'torsion': [2, 6]}
  • id: 13943107
    {'degree': 16, 'field': [474757, -2767838, 4839486, -659686, -6819048, 3991932, 1671496, -833602, -141015, 33292, -416, 2070, 588, -62, -30, -4, 1], 'lmfdb_label': '332592.be2', 'torsion': [2, 8]}
  • id: 13943108
    {'degree': 16, 'field': [44494321, 5350632, -19204880, -6294480, 4053368, 1534584, -588576, -170784, 79646, 10488, -9264, 48, 728, -24, -32, 0, 1], 'lmfdb_label': '332592.be2', 'torsion': [2, 8]}
  • id: 13943106
    {'degree': 16, 'field': [188016273, 100618560, 89716970, 31843784, 23924740, 6731732, 4421914, 619864, 672621, 13132, 61334, -616, 3108, -28, 84, 0, 1], 'lmfdb_label': '332592.be2', 'torsion': [4, 4]}
  • id: 13943109
    {'degree': 16, 'field': [346063945984, 0, 132551899136, 0, 17237329408, 0, 1076176128, 0, 37918944, 0, 860544, 0, 14560, 0, 176, 0, 1], 'lmfdb_label': '332592.be2', 'torsion': [2, 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: 8232865
    {'conductor': 332592, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '332592.be2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8232866
    {'conductor': 332592, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '332592.be2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8232867
    {'conductor': 332592, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '332592.be2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8232868
    {'conductor': 332592, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '332592.be2', 'prime': 41, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 3745017
    {'adelic_gens': [[1, 0, 4, 1], [1769, 2626, 0, 1], [1, 4, 0, 1], [4261, 4, 4260, 5], [1311, 0, 0, 4263], [495, 2626, 1638, 1639], [1065, 3276, 3770, 2287]], 'adelic_image': '4264.48.0.?', 'conductor': 332592, 'lmfdb_label': '332592.be2', 'prime': 0}
  • id: 1157866
    {'conductor': 332592, 'elladic_image': '8.12.0.4', 'lmfdb_label': '332592.be2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 332592.be does not appear in ec_padic