Elliptic curve data - 9576.t4

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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': '9576v', 'Clabel': '9576v1', 'Cnumber': 1, 'abc_quality': 1.0129345940863133, 'absD': 3272165847549648, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -39234, 1171613], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9576, 'degree': 49152, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6703130364265907412334777291', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [572616640141312, 280535480757], 'lmfdb_iso': '9576.t', 'lmfdb_label': '9576.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4359, -41940], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '56.12.0.ba.1', '84.12.0.?', '152.12.0.?', '168.24.0.?', '228.12.0.?', '266.6.0.?', '456.24.0.?', '532.12.0.?', '1064.24.0.?', '1596.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88995783190588745906344440349', 'prec': 103}, 'szpiro_ratio': 4.72842019501958, '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, 2, 0, -1, 0, 0, 0, 4, 0, 2, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 0, 2, -1, 4, 2, 6, 1, 0, 10, 8, -2, -6, 4, 8, -6, 4, -10, 8, -12, -14, -4, 4, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 9576, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '9576.t', 'trace_hash': 940075881223817937}
• 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': '0.035414778547983514634460801164', 'prec': 107}, 'conductor': 9576, 'gens': [], 'heights': [], 'lmfdb_label': '9576.t4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.39734469351170029508235454825', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1787575480936023606588363859765521166', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[181, 0, 1]], 'xcoord_integral_points': [181]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [0, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '9576.t4'}
• ec_torsion_growth •

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

  
  
  • id: 498155
    {'degree': 2, 'field': [-33, -1, 1], 'lmfdb_label': '9576.t4', 'torsion': [2, 2]}
  • id: 498157
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '9576.t4', 'torsion': [4]}
  • id: 498156
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '9576.t4', 'torsion': [4]}
  • id: 498158
    {'degree': 4, 'field': [-21, 63, -26, -1, 1], 'lmfdb_label': '9576.t4', 'torsion': [2, 4]}
  • id: 498160
    {'degree': 8, 'field': [333, 774, -510, -498, 175, 86, -24, -4, 1], 'lmfdb_label': '9576.t4', 'torsion': [8]}
  • id: 498162
    {'degree': 8, 'field': [801, 1092, 196, -66, 12, -10, -12, 0, 1], 'lmfdb_label': '9576.t4', 'torsion': [6]}
  • id: 498161
    {'degree': 8, 'field': [17689, 0, -2527, 0, 228, 0, -19, 0, 1], 'lmfdb_label': '9576.t4', 'torsion': [8]}
  • id: 498159
    {'degree': 8, 'field': [120409, 0, 6318, 0, -977, 0, 78, 0, 1], 'lmfdb_label': '9576.t4', 'torsion': [2, 4]}
  • id: 498167
    {'degree': 16, 'field': [144, 0, -1200, 0, -2912, 0, 1200, 0, -6180, 0, 2200, 0, 276, 0, 0, 0, 1], 'lmfdb_label': '9576.t4', 'torsion': [12]}
  • id: 498168
    {'degree': 16, 'field': [289, 4828, -137208, 76594, 47410, 10998, 448, 4324, 1194, -1808, 16, 306, -110, -2, 24, -8, 1], 'lmfdb_label': '9576.t4', 'torsion': [12]}
  • id: 498164
    {'degree': 16, 'field': [576, -13824, -101184, -55104, 540016, 454352, -833296, -489240, 258949, 109750, -36470, -9686, 2611, 354, -88, -4, 1], 'lmfdb_label': '9576.t4', 'torsion': [2, 8]}
  • id: 498163
    {'degree': 16, 'field': [11115556, 0, 9603680, 0, 4864580, 0, 609420, 0, -19747, 0, -6300, 0, 854, 0, -40, 0, 1], 'lmfdb_label': '9576.t4', 'torsion': [4, 4]}
  • id: 498165
    {'degree': 16, 'field': [481089148, -81439604, 262877478, -36482242, 60016221, -8082858, 8660980, -1287826, 905316, -133250, 64510, -7998, 2904, -266, 78, -4, 1], 'lmfdb_label': '9576.t4', 'torsion': [2, 8]}
  • id: 498166
    {'degree': 16, 'field': [29809058409, 0, -4655492100, 0, -339163110, 0, 52383000, 0, 2115555, 0, -93480, 0, -3662, 0, 20, 0, 1], 'lmfdb_label': '9576.t4', 'torsion': [2, 6]}
• 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: 201815
    {'conductor': 9576, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9576.t4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 201816
    {'conductor': 9576, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '9576.t4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 201817
    {'conductor': 9576, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9576.t4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 201818
    {'conductor': 9576, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9576.t4', 'prime': 19, '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: 1727306
    {'adelic_gens': [[2752, 3, 789, 1066], [403, 402, 2274, 2803], [3185, 8, 3184, 9], [673, 2796, 1734, 2263], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1063, 0, 0, 3191], [7, 6, 3186, 3187], [460, 1065, 783, 2134]], 'adelic_image': '3192.48.0.?', 'conductor': 9576, 'lmfdb_label': '9576.t4', 'prime': 0}
  • id: 46388
    {'conductor': 9576, 'elladic_image': '4.6.0.1', 'lmfdb_label': '9576.t4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9576.t does not appear in ec_padic