Elliptic curve data - 35904.j2

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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': '35904cd', 'Clabel': '35904cd1', 'Cnumber': 1, 'abc_quality': 1.028917697425881, 'absD': 89163405695403920719872, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -26354369, 50062566753], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 35904, 'degree': 3115008, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1668081960421167976188416889', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [7722211175253055152433, 340131399900069888], 'lmfdb_iso': '35904.j', 'lmfdb_label': '35904.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -411787, -97932871], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '136.6.0.?', '4488.12.0.?'], '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': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1270874252021988334929935067', 'prec': 100}, 'szpiro_ratio': 5.994604907792354, '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, -1, 0, -2, 0, 2, 0, 1, 0, 1, 0, -4, 0, 2, 0, 1, 0, -2, 0], 'aplist': [0, -1, -2, 2, 1, -4, 1, -2, -2, -6, -8, -2, -2, -2, -4, -12, -10, -6, -12, -6, 8, 2, -4, -2, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 35904, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '35904.j', 'trace_hash': 833644534234314292}
• 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': '0.0017756008752292523934738151995', 'prec': 110}, 'conductor': 35904, 'gens': [], 'heights': [], 'lmfdb_label': '35904.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10630111014749494284004537843', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.21260222029498988568009075686211115967', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[3429, 0, 1]], 'xcoord_integral_points': [3429]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '11': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '35904.j2'}
• ec_torsion_growth •

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

  
  
  • id: 1781709
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '35904.j2', 'torsion': [2, 2]}
  • id: 1781710
    {'degree': 4, 'field': [-30, -68, -30, 0, 1], 'lmfdb_label': '35904.j2', 'torsion': [4]}
  • id: 1781713
    {'degree': 8, 'field': [-768, 0, 4384, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '35904.j2', 'torsion': [6]}
  • id: 1781711
    {'degree': 8, 'field': [2896, -4264, 2645, -1594, 667, 124, 23, -2, 1], 'lmfdb_label': '35904.j2', 'torsion': [2, 4]}
  • id: 1781712
    {'degree': 8, 'field': [4114, 8228, -9614, -1760, 1739, 136, -86, -4, 1], 'lmfdb_label': '35904.j2', 'torsion': [2, 4]}
  • id: 1781715
    {'degree': 16, 'field': [1167639808, -174597632, 141671712, 79387392, -72068832, 34775040, -4868288, -5630912, 1253697, 86136, -1572, -7416, 326, 392, -36, -8, 1], 'lmfdb_label': '35904.j2', 'torsion': [2, 6]}
  • id: 1781714
    {'degree': 16, 'field': [9120632004, 0, -11174272560, 0, 3109283364, 0, -204538752, 0, 28504765, 0, -1593484, 0, 33054, 0, -292, 0, 1], 'lmfdb_label': '35904.j2', 'torsion': [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: 845717
    {'conductor': 35904, 'conductor_valuation': 6, 'discriminant_valuation': 44, 'j_denominator_valuation': 26, 'kodaira_symbol': -38, 'lmfdb_label': '35904.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 845718
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '35904.j2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 845719
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35904.j2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 845720
    {'conductor': 35904, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35904.j2', '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: 1904167
    {'adelic_gens': [[1498, 1, 1495, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [2245, 4, 2, 9], [3929, 562, 560, 3927], [818, 1, 4079, 0], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 35904, 'lmfdb_label': '35904.j2', 'prime': 0}
  • id: 159432
    {'conductor': 35904, 'elladic_image': '2.3.0.1', 'lmfdb_label': '35904.j2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 35904.j does not appear in ec_padic