Elliptic curve data - 35574.bj6

Formats: - HTML - YAML - JSON - 2025-11-08T16:58:06.354477

• 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': '35574bg', 'Clabel': '35574bg5', 'Cnumber': 5, 'abc_quality': 1.083141850233532, 'absD': 879246204493019540562, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1232, 'ainvs': [1, 0, 1, 2288470, 509842694], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 35574, 'degree': 1966080, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7075774946245350881337352759', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6359387729183, 4218578658], 'lmfdb_iso': '35574.bj', 'lmfdb_label': '35574.bj6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 386, 1277], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '16.48.0.e.1', '56.48.0.bc.1', '88.48.0.?', '112.96.1.?', '176.96.0.?', '308.12.0.?', '616.96.0.?', '1232.192.1.?'], '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, 'serre_invariants': [[2, 4, 5929], [3, 4, 11858], [7, 32, 726], [11, 62, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711520', 'prec': 103}, 'szpiro_ratio': 5.30029802288889, '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, 2, -1, 0, -1, 1, -2, 0, 1, 6, 0, 2, 1, 2, -1, -4, 2], 'aplist': [-1, 1, 2, 0, 0, 6, 2, -4, 8, 2, 0, -10, -6, 4, 0, 6, -4, 6, 4, 8, 10, 0, -4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 35574, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '35574.bj', 'trace_hash': 2294725034787688658}
• 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': '0.0044486482666624321272223688021', 'prec': 110}, 'conductor': 35574, 'gens': [], 'heights': [], 'lmfdb_label': '35574.bj6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.099015998927880152595712130774', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1685119656921648830627881847836773780', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-873, 869, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 2], '3': [3, 0], '7': 'a', '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '35574.bj6'}
• ec_torsion_growth •

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

  
  
  • id: 1767847
    {'degree': 2, 'field': [-154, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [4]}
  • id: 1767846
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [2, 2]}
  • id: 1767848
    {'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [4]}
  • id: 1767850
    {'degree': 4, 'field': [81, 0, -4, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [8]}
  • id: 1767851
    {'degree': 4, 'field': [93, 8, -7, -2, 1], 'lmfdb_label': '35574.bj6', 'torsion': [8]}
  • id: 1767849
    {'degree': 4, 'field': [1521, 0, -76, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [2, 4]}
  • id: 1767856
    {'degree': 8, 'field': [-18102, 3045, -1434, -779, 95, -71, -5, -4, 1], 'lmfdb_label': '35574.bj6', 'torsion': [6]}
  • id: 1767852
    {'degree': 8, 'field': [4, 0, 0, 0, 158, 0, 0, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [2, 4]}
  • id: 1767854
    {'degree': 8, 'field': [81, -252, 444, -412, 277, -88, 34, -4, 1], 'lmfdb_label': '35574.bj6', 'torsion': [2, 8]}
  • id: 1767855
    {'degree': 8, 'field': [1593, -2292, 2416, -232, 77, 44, -10, -4, 1], 'lmfdb_label': '35574.bj6', 'torsion': [16]}
  • id: 1767853
    {'degree': 8, 'field': [128727, 27900, -25738, -4248, 1935, 224, -70, -4, 1], 'lmfdb_label': '35574.bj6', 'torsion': [8]}
  • id: 1767857
    {'degree': 16, 'field': [1, 0, -36, 0, 648, 0, -3096, 0, 7567, 0, -3096, 0, 648, 0, -36, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [4, 4]}
  • id: 1767860
    {'degree': 16, 'field': [155313, -291480, 775832, 1716400, 1912536, -776104, -1647064, 233184, 512606, -46536, -66008, 3248, 3960, -56, -104, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [16]}
  • id: 1767861
    {'degree': 16, 'field': [1476225, -306180, 42768, 848988, 59328, -52752, 60812, -23100, 21209, -9576, 6704, -1428, 622, -84, 40, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [2, 16]}
  • id: 1767864
    {'degree': 16, 'field': [4264164, -32824440, 95202189, -31703642, 36791600, -5407602, 4490011, -450760, 95991, 1404, -7269, 2076, -205, -50, 12, -4, 1], 'lmfdb_label': '35574.bj6', 'torsion': [12]}
  • id: 1767859
    {'degree': 16, 'field': [11303044, 0, 0, 0, -2987520, 0, 0, 0, -40526, 0, 0, 0, 240, 0, 0, 0, 1], 'lmfdb_label': '35574.bj6', 'torsion': [16]}
  • id: 1767862
    {'degree': 16, 'field': [115261974, 56488428, 52483581, 17952120, 36231012, -30894570, 12354243, -3898368, 990149, -128338, -1021, 5376, -1581, 186, 22, -8, 1], 'lmfdb_label': '35574.bj6', 'torsion': [2, 6]}
  • id: 1767863
    {'degree': 16, 'field': [286804092, 254002404, 19767465, 49242952, 4745812, -841170, 1211973, -275628, 17625, 88450, -30353, 3396, 945, -198, 6, -8, 1], 'lmfdb_label': '35574.bj6', 'torsion': [12]}
  • id: 1767858
    {'degree': 16, 'field': [11055671001, 5369383272, -4241955424, -2122850520, 740775824, 358972408, -77867736, -33410272, 5416865, 1839912, -253028, -59832, 7606, 1064, -132, -8, 1], 'lmfdb_label': '35574.bj6', '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: 838256
    {'conductor': 35574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35574.bj6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 838257
    {'conductor': 35574, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '35574.bj6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 838258
    {'conductor': 35574, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '35574.bj6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 838259
    {'conductor': 35574, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35574.bj6', 'prime': 11, 'reduction_type': 0, '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: 1902086
    {'adelic_gens': [[694, 649, 1221, 1178], [1, 16, 0, 1], [5, 4, 1228, 1229], [559, 0, 0, 1231], [1011, 880, 880, 1099], [1, 0, 16, 1], [1217, 16, 1216, 17], [15, 2, 1134, 1219], [540, 649, 1067, 1178]], 'adelic_image': '1232.192.1.?', 'conductor': 35574, 'lmfdb_label': '35574.bj6', 'prime': 0}
  • id: 158188
    {'conductor': 35574, 'elladic_image': '16.48.0.204', 'lmfdb_label': '35574.bj6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 35574.bj does not appear in ec_padic