Elliptic curve data - 9576.t1

Formats: - HTML - YAML - JSON - 2023-03-22T03:56:32.506352

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9576v', 'Clabel': '9576v3', 'Cnumber': 3, 'absD': 2702844295216128, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -5335419, -4743521242], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9576, 'degree': 196608, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3634602169865360506507098505', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [22501000029889239268, 3620708343], 'lmfdb_iso': '9576.t', 'lmfdb_label': '9576.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -592824, 175883580], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['1.1.0.1', '2.3.0.1', '4.6.0.1', '12.12.0.8', '28.12.0.10', '84.24.0.?', '152.12.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2365314221858601137720604642', 'prec': 100}, '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': '0.0088536946369958786586152002910', 'prec': 110}, 'conductor': 9576, 'gens': [], 'heights': [], 'lmfdb_label': '9576.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.099336173377925073770588637062', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1787575480936023606588363859765521166', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-1334, 0, 1]], 'xcoord_integral_points': [-1334]}
• 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.t1'}
• ec_torsion_growth •

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

  
  
  • id: 498177
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [2, 2]}
  • id: 498178
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '9576.t1', 'torsion': [4]}
  • id: 498179
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [4]}
  • id: 498180
    {'degree': 4, 'field': [49, 0, 7, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [2, 4]}
  • id: 498181
    {'degree': 8, 'field': [-3, 18, -20, 6, -7, 2, 4, -4, 1], 'lmfdb_label': '9576.t1', 'torsion': [2, 4]}
  • id: 498182
    {'degree': 8, 'field': [784, 0, -168, 0, 8, 0, -6, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [8]}
  • id: 498184
    {'degree': 8, 'field': [801, 1092, 196, -66, 12, -10, -12, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [6]}
  • id: 498183
    {'degree': 8, 'field': [423801, 0, -8232, 0, 490, 0, 56, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [8]}
  • id: 498185
    {'degree': 16, 'field': [1, -2, 2, -12, 13, 8, 30, -26, -12, -26, 30, 8, 13, -12, 2, -2, 1], 'lmfdb_label': '9576.t1', 'torsion': [4, 4]}
  • id: 498189
    {'degree': 16, 'field': [144, 0, -240, 0, 544, 0, 240, 0, 156, 0, -40, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [12]}
  • id: 498188
    {'degree': 16, 'field': [956916, -5630688, 12372192, -12630216, 6295788, -955560, -1530788, 403464, 331660, -6440, -35300, 388, 2380, -20, -80, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [2, 6]}
  • id: 498187
    {'degree': 16, 'field': [4879681, 0, 2747996, 0, 993077, 0, 223884, 0, 35912, 0, 2532, 0, 149, 0, 20, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [2, 8]}
  • id: 498186
    {'degree': 16, 'field': [45954841, -96234684, 152771848, -127152816, 88812251, -32734212, 14848788, -2914464, 2135468, -154392, 123954, -8736, 5123, -168, 82, 0, 1], 'lmfdb_label': '9576.t1', 'torsion': [2, 8]}
  • id: 498190
    {'degree': 16, 'field': [1567582641, -1038345084, 474077856, -156363252, 167198656, -135680016, 67383876, -20189888, 4258002, -622188, 51164, 732, 1848, -400, -24, 0, 1], 'lmfdb_label': '9576.t1', '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: 201823
    {'conductor': 9576, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9576.t1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 201824
    {'conductor': 9576, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '9576.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 201825
    {'conductor': 9576, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9576.t1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 201826
    {'conductor': 9576, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9576.t1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1727303
    {'adelic_gens': [[1984, 3, 309, 1066], [403, 402, 2274, 2803], [3185, 8, 3184, 9], [1, 0, 8, 1], [400, 939, 1467, 2560], [1, 8, 0, 1], [1, 4, 4, 17], [1063, 0, 0, 3191], [7, 6, 3186, 3187], [1009, 2136, 1908, 2161]], 'adelic_image': '3192.48.0.?', 'conductor': 9576, 'lmfdb_label': '9576.t1', 'prime': 0}
  • id: 46385
    {'conductor': 9576, 'elladic_image': '4.6.0.1', 'lmfdb_label': '9576.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9576.t does not appear in ec_padic