Elliptic curve data - 13552.w2

Formats: - HTML - YAML - JSON - 2024-05-04T17:43:01.107883

• 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': '13552ba', 'Clabel': '13552ba5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 13315393976270848, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [0, -1, 0, -330128, -73109056], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 13552, 'degree': 103680, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9586222071022423843203702045', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '13552.w', 'lmfdb_label': '13552.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '72.72.1.?', '126.216.7.?', '132.24.0.?', '168.48.1.?', '264.48.0.?', '396.72.0.?', '504.432.21.?', '792.144.1.?', '924.48.0.?', '1848.96.1.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294060', 'prec': 107}, 'szpiro_ratio': 5.228039328151445, '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, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 4, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 2, 0, 1, 0, 4, -6, 2, 0, 6, 4, 2, -6, 8, 12, 6, 6, -8, 4, 0, -2, 8, -6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 13552, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '13552.w', 'trace_hash': 455226259936525659}
• 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': '0.019895843981681940806801931582', 'prec': 107}, 'conductor': 13552, 'gens': [], 'heights': [], 'lmfdb_label': '13552.w2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.099566179540343704010809582960', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5843824634523733443891449865608088548', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[664, 0, 1]], 'xcoord_integral_points': [664]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 2], '7': [1, 0], '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '13552.w2'}
• ec_torsion_growth •

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

  
  
  • id: 698221
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 2]}
  • id: 698222
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [6]}
  • id: 698223
    {'degree': 4, 'field': [-206, -44, 10, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [4]}
  • id: 698224
    {'degree': 4, 'field': [994, -70, 71, -2, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 6]}
  • id: 698225
    {'degree': 6, 'field': [-1282, -462, 363, -14, -33, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [6]}
  • id: 698226
    {'degree': 6, 'field': [97012, 6720, 3708, -56, 57, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [18]}
  • id: 698228
    {'degree': 8, 'field': [256, 0, 87, 0, 33, 0, -9, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 4]}
  • id: 698227
    {'degree': 8, 'field': [4489, 0, 14, 0, 106, 0, 14, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 4]}
  • id: 698229
    {'degree': 8, 'field': [9673, 6020, 2202, -716, 266, -20, -6, -4, 1], 'lmfdb_label': '13552.w2', 'torsion': [12]}
  • id: 698230
    {'degree': 12, 'field': [1643524, -592284, 678810, 203602, 82995, 35574, 9611, 0, 726, -28, 33, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [3, 6]}
  • id: 698231
    {'degree': 12, 'field': [1768948, 349536, -935088, -85240, 221397, 5808, -26590, 0, 1815, -8, -66, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [18]}
  • id: 698232
    {'degree': 12, 'field': [1790244, 0, -940896, 0, 221925, 0, -26606, 0, 1815, 0, -66, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 6]}
  • id: 698233
    {'degree': 12, 'field': [1430330896, 21882336, 224992800, 10187632, 16224168, 305928, 702752, -420, 16461, -28, 198, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 18]}
  • id: 698234
    {'degree': 16, 'field': [-45052, 29120, 69440, 75488, -38088, -70704, -63440, -22080, -4120, 2992, 1008, 208, -156, -56, -8, 0, 1], 'lmfdb_label': '13552.w2', 'torsion': [8]}
  • id: 698236
    {'degree': 16, 'field': [117712, -142464, 171724, -79940, 115390, -150372, 145936, -74610, 10189, 4238, 490, -662, 80, -14, 22, -8, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 12]}
  • id: 698235
    {'degree': 16, 'field': [47004736, -44536576, 31810272, -17267232, 8013592, -3160224, 1270096, -413072, 128670, -34044, 9658, -2364, 543, -140, 26, -4, 1], 'lmfdb_label': '13552.w2', 'torsion': [2, 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: 296022
    {'conductor': 13552, 'conductor_valuation': 4, 'discriminant_valuation': 30, 'j_denominator_valuation': 18, 'kodaira_symbol': -26, 'lmfdb_label': '13552.w2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 296023
    {'conductor': 13552, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13552.w2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 296024
    {'conductor': 13552, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13552.w2', '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: 1754075
    {'adelic_gens': [[1, 36, 0, 1], [3023, 0, 0, 5543], [1, 0, 36, 1], [2773, 3564, 2530, 2377], [1385, 1980, 242, 3167], [5509, 36, 5508, 37], [397, 3564, 88, 1541], [19, 36, 3240, 595], [4324, 5049, 3751, 3202], [1, 18, 14, 253]], 'adelic_image': '5544.864.21.?', 'conductor': 13552, 'lmfdb_label': '13552.w2', 'prime': 0}
  • id: 64324
    {'conductor': 13552, 'elladic_image': '8.6.0.1', 'lmfdb_label': '13552.w2', 'modell_image': '2B', 'prime': 2}
  • id: 64325
    {'conductor': 13552, 'elladic_image': '9.12.0.1', 'lmfdb_label': '13552.w2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 13552.w does not appear in ec_padic