Elliptic curve data - 16575.b2

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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': '16575g', 'Clabel': '16575g3', 'Cnumber': 3, 'abc_quality': 1.0203407653878713, 'absD': 79538340936668464423828125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [1, 0, 0, -214795213, -1133169298708], 'analytic_rank': 0, 'bad_primes': [3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16575, 'degree': 5750784, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7163033304044758404218146282', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [70141892778055497175333129, 5090453819946781723125], 'lmfdb_iso': '16575.b', 'lmfdb_label': '16575.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -8591808, -9068791113], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0.ba.1', '26.6.0.b.1', '52.12.0.g.1', '120.24.0.?', '260.24.0.?', '312.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9115843741874256531214349616', 'prec': 100}, 'szpiro_ratio': 7.119357339330212, '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, -1, 1, -1, 0, -1, -4, 3, 1, 0, -4, -1, -1, 4, 0, -1, -1, -1, 0, 0], 'aplist': [-1, 1, 0, -4, -4, -1, -1, 0, 0, 6, -4, 10, -2, -4, 0, 10, -4, -2, -8, -8, -10, -8, -4, -18, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 16575, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '16575.b', 'trace_hash': 221332855817676234}
• 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': '0.00059164328677767749559104560538', 'prec': 113}, 'conductor': 16575, 'gens': [], 'heights': [], 'lmfdb_label': '16575.b2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.039616665692680156409514275725', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.47539998831216187691417130870191355196', 'prec': 133}, 'tamagawa_product': 48, 'torsion_generators': [[-40657, 40657, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': [1, 0], '5': 'a', '13': [0, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '16575.b2'}
• ec_torsion_growth •

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

  
  
  • id: 848808
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '16575.b2', 'torsion': [2, 2]}
  • id: 848810
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [4]}
  • id: 848809
    {'degree': 2, 'field': [65, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [4]}
  • id: 848811
    {'degree': 4, 'field': [69, -4, 5, -2, 1], 'lmfdb_label': '16575.b2', 'torsion': [2, 4]}
  • id: 848815
    {'degree': 8, 'field': [-29, 104, -98, -13, 10, -7, 7, -4, 1], 'lmfdb_label': '16575.b2', 'torsion': [6]}
  • id: 848812
    {'degree': 8, 'field': [79, 212, -232, 44, -31, 8, 2, -4, 1], 'lmfdb_label': '16575.b2', 'torsion': [2, 4]}
  • id: 848814
    {'degree': 8, 'field': [486, 108, 42, 144, 91, -12, -14, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [8]}
  • id: 848813
    {'degree': 8, 'field': [2704, 0, 5408, 0, 3393, 0, 104, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [8]}
  • id: 848821
    {'degree': 16, 'field': [9, 0, 5976, 0, 14880, 0, 28223, 0, 6500, 0, 53, 0, -23, 0, 10, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [12]}
  • id: 848816
    {'degree': 16, 'field': [196, 0, 1360, 0, 4180, 0, 1308, 0, -507, 0, -60, 0, 46, 0, -8, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [4, 4]}
  • id: 848819
    {'degree': 16, 'field': [32041, 0, -403469, 0, 127792, 0, 20023, 0, -3215, 0, -2063, 0, 307, 0, -26, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [2, 6]}
  • id: 848817
    {'degree': 16, 'field': [385641, 0, -183384, 0, -27531, 0, -2688, 0, 3448, 0, 1976, 0, 381, 0, 32, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [2, 8]}
  • id: 848818
    {'degree': 16, 'field': [640039401, 0, -430616088, 0, 105912342, 0, -14542140, 0, 2253751, 0, -170740, 0, 6438, 0, -124, 0, 1], 'lmfdb_label': '16575.b2', 'torsion': [2, 8]}
  • id: 848820
    {'degree': 16, 'field': [103720999365, 18940058280, -15273656460, -7120569300, 3034248180, 618552600, -185173859, -17724728, 4073910, 241430, -51487, 1668, -187, -70, 30, -8, 1], 'lmfdb_label': '16575.b2', 'torsion': [12]}
• 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: 368125
    {'conductor': 16575, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '16575.b2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 368126
    {'conductor': 16575, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '16575.b2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 368127
    {'conductor': 16575, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '16575.b2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 368128
    {'conductor': 16575, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '16575.b2', 'prime': 17, '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: 1774286
    {'adelic_gens': [[1, 0, 8, 1], [1291, 1290, 130, 1531], [1, 8, 0, 1], [1, 4, 4, 17], [623, 0, 0, 1559], [1516, 625, 215, 6], [7, 6, 1554, 1555], [1291, 40, 530, 981], [1553, 8, 1552, 9], [521, 320, 1460, 1281]], 'adelic_image': '1560.48.0.?', 'conductor': 16575, 'lmfdb_label': '16575.b2', 'prime': 0}
  • id: 77768
    {'conductor': 16575, 'elladic_image': '4.6.0.1', 'lmfdb_label': '16575.b2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 16575.b does not appear in ec_padic