Elliptic curve data - 35574.u1

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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
  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': '35574bk', 'Clabel': '35574bk4', 'Cnumber': 4, 'abc_quality': 1.0237597269657934, 'absD': 13755877085874, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [1, 0, 1, -2087132, -1160747920], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 35574, 'degree': 552960, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0769488100761710530973913517', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4], 'jinv': [4824238966273, 66], 'lmfdb_iso': '35574.u', 'lmfdb_label': '35574.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -352, -2689], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '84.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], '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, 'serre_invariants': [[2, 4, 17787], [3, 4, 11858], [7, 26, 726], [11, 72, 294]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809005', 'prec': 110}, 'szpiro_ratio': 5.273933928452122, '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, 4, -6, 0, 6, -6, -4, 12, 2, -12, -14, 4, -12, -6, 4, 4, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 35574, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '35574.u', 'trace_hash': 1993011793548362716}
• 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': '0.015703092364170978126503470445', 'prec': 107}, 'conductor': 35574, 'gens': [], 'heights': [], 'lmfdb_label': '35574.u1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12560649610216543841714726072', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0048519688173235073371780857329279351', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-3337, 3333, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 2], '3': [1, 0], '7': 'a', '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '35574.u1'}
• ec_torsion_growth •

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

  
  
  • id: 1767938
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [2, 2]}
  • id: 1767940
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [4]}
  • id: 1767939
    {'degree': 2, 'field': [154, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [4]}
  • id: 1767941
    {'degree': 4, 'field': [3025, 0, 44, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [2, 4]}
  • id: 1767945
    {'degree': 8, 'field': [-1438, -1895, -6568, -4419, 465, -219, -5, -4, 1], 'lmfdb_label': '35574.u1', 'torsion': [6]}
  • id: 1767942
    {'degree': 8, 'field': [51577, 17396, -17774, 776, -437, 56, -14, -4, 1], 'lmfdb_label': '35574.u1', 'torsion': [2, 4]}
  • id: 1767943
    {'degree': 8, 'field': [161604, 0, 912, 0, -242, 0, 24, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [8]}
  • id: 1767944
    {'degree': 8, 'field': [496918, -13718, 53899, -1862, 2353, -98, 61, -2, 1], 'lmfdb_label': '35574.u1', 'torsion': [8]}
  • id: 1767951
    {'degree': 16, 'field': [599076, 0, -120555, 0, 612234, 0, 386451, 0, 74475, 0, 8223, 0, 747, 0, 42, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [12]}
  • id: 1767948
    {'degree': 16, 'field': [6115729, 0, -32573212, 0, 39876236, 0, 9244728, 0, 1234031, 0, 78312, 0, 2924, 0, 68, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [2, 8]}
  • id: 1767949
    {'degree': 16, 'field': [86266944, 0, -230437224, 0, 180106452, 0, -50922864, 0, 6195636, 0, -46644, 0, 6948, 0, 0, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [2, 6]}
  • id: 1767946
    {'degree': 16, 'field': [93450889, 0, -63583828, 0, 16307806, 0, -1637152, 0, -11969, 0, 5720, 0, 1090, 0, 44, 0, 1], 'lmfdb_label': '35574.u1', 'torsion': [4, 4]}
  • id: 1767950
    {'degree': 16, 'field': [769874974, 861098260, -312146463, -586844900, 43925566, 148276758, 900351, -10279284, 1572567, -36918, 54555, 4872, 1231, -386, 6, -8, 1], 'lmfdb_label': '35574.u1', 'torsion': [12]}
  • id: 1767947
    {'degree': 16, 'field': [4162902286, -192485012, 1307885762, -77608476, 184067891, -14018284, 15939274, -1436220, 964813, -92892, 44782, -4004, 1577, -132, 38, -4, 1], 'lmfdb_label': '35574.u1', '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: 838292
    {'conductor': 35574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35574.u1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 838293
    {'conductor': 35574, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35574.u1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 838294
    {'conductor': 35574, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35574.u1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 838295
    {'conductor': 35574, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '35574.u1', '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: 1902197
    {'adelic_gens': [[263, 0, 0, 1847], [1841, 8, 1840, 9], [1163, 364, 938, 1821], [1, 0, 8, 1], [160, 525, 595, 790], [1240, 1323, 973, 1058], [7, 6, 1842, 1843], [1, 8, 0, 1], [1, 4, 4, 17], [960, 833, 91, 78]], 'adelic_image': '1848.48.0.?', 'conductor': 35574, 'lmfdb_label': '35574.u1', 'prime': 0}
  • id: 158289
    {'conductor': 35574, 'elladic_image': '8.12.0.11', 'lmfdb_label': '35574.u1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 35574.u does not appear in ec_padic