Elliptic curve data - 159600.eg2

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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': '159600by', 'Clabel': '159600by2', 'Cnumber': 2, 'abc_quality': 0.9974142417708209, 'absD': 31952277504000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 1, 0, -159808, -23089612], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 159600, 'degree': 1179648, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9141673202173017438121187125', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 110, 'isogeny_degrees': [1, 2], 'jinv': [7052482298233, 499254336], 'lmfdb_iso': '159600.eg', 'lmfdb_label': '159600.eg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -400, 2846], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.b.1', '40.12.0-2.a.1.1', '60.12.0-2.a.1.1', '120.24.0.?', '152.12.0.?', '228.12.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 53200], [5, 14, 6384], [7, 8, 22800], [19, 20, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41630118344030624709450692443', 'prec': 103}, 'szpiro_ratio': 3.9697081350915684, '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, 0, 0, -1, 0, 1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 1, 0], 'aplist': [0, 1, 0, -1, 0, -2, -2, 1, 8, 2, -4, -2, 6, -12, -8, -10, 4, -10, 4, -8, -10, 4, 0, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 159600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '159600.eg', 'trace_hash': 1698709956169716772}
• 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': '0.021745800067585680122953946918', 'prec': 107}, 'conductor': 159600, 'gens': [], 'heights': [], 'lmfdb_label': '159600.eg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23984632692215083958019815402', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9187706153772067166415852321688354087', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-182, 0, 1], [458, 0, 1]], 'xcoord_integral_points': [-277, -182, 458]}
• lmfdb_label 159600.eg2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7140633
    {'degree': 4, 'field': [1, 0, -8, 0, 1], 'lmfdb_label': '159600.eg2', 'torsion': [2, 4]}
  • id: 7140634
    {'degree': 4, 'field': [49, 0, 24, 0, 1], 'lmfdb_label': '159600.eg2', 'torsion': [2, 4]}
  • id: 7140635
    {'degree': 4, 'field': [96, -39, 7, -1, 1], 'lmfdb_label': '159600.eg2', 'torsion': [2, 4]}
  • id: 7140636
    {'degree': 8, 'field': [-30000, 0, -10375, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '159600.eg2', 'torsion': [2, 6]}
  • id: 7140638
    {'degree': 16, 'field': [-3964239, 5082840, 7432704, 779184, 1785048, 585480, -692352, -301728, -57698, -13944, 3392, 5040, 888, -168, -64, 0, 1], 'lmfdb_label': '159600.eg2', 'torsion': [2, 8]}
  • id: 7140637
    {'degree': 16, 'field': [179776, 0, 161856, 0, 255668, 0, -50916, 0, 5793, 0, 528, 0, 302, 0, -12, 0, 1], 'lmfdb_label': '159600.eg2', 'torsion': [4, 4]}
  • id: 7140639
    {'degree': 16, 'field': [2526696, 8001888, 27311056, 30869680, 26363932, 13000832, 4280220, 556968, -175599, -69728, -12552, 240, 990, 128, -20, -8, 1], 'lmfdb_label': '159600.eg2', 'torsion': [2, 8]}
  • id: 7140640
    {'degree': 16, 'field': [592861824, 101776320, -47058264, -110324448, 58300284, -6361440, 6534450, -3974472, 1267327, -235676, 98470, -25640, 2332, 868, -104, -8, 1], 'lmfdb_label': '159600.eg2', '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: 3947862
    {'conductor': 159600, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '159600.eg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3947863
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '159600.eg2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3947864
    {'conductor': 159600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '159600.eg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3947865
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '159600.eg2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3947866
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '159600.eg2', 'prime': 19, '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: 2696408
    {'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [1823, 0, 0, 2279], [2277, 4, 2276, 5], [339, 1820, 2050, 909], [1921, 1370, 0, 1], [1141, 460, 1370, 921], [1371, 1370, 1670, 911]], 'adelic_image': '2280.48.0.?', 'conductor': 159600, 'lmfdb_label': '159600.eg2', 'prime': 0}
  • id: 608278
    {'conductor': 159600, 'elladic_image': '2.6.0.1', 'lmfdb_label': '159600.eg2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 159600.eg does not appear in ec_padic