Elliptic curve data - 13552.w6

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '13552ba', 'Clabel': '13552ba3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 159290601766912, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [0, -1, 0, 8672, -524544], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 13552, 'degree': 34560, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4093160627681875386227475861', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '13552.w', 'lmfdb_label': '13552.w6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '126.216.7.?', '132.72.0.?', '168.144.5.?', '264.144.1.?', '504.432.21.?', '924.144.1.?', '1848.288.5.?', '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, 'serre_invariants': [[2, 2, 847], [3, 2, 1936], [7, 8, 1936], [11, 62, 112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632434', 'prec': 107}, 'szpiro_ratio': 4.188716691607333, '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': '0.059687531945045822420405794747', 'prec': 107}, 'conductor': 13552, 'gens': [], 'heights': [], 'lmfdb_label': '13552.w6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.29869853862103111203242874888', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5843824634523733443891449865608088548', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[48, 0, 1]], 'xcoord_integral_points': [48]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 1], '7': [1, 0], '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '13552.w6'}
• ec_torsion_growth •

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

  
  
  • id: 698182
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [6]}
  • id: 698181
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 2]}
  • id: 698183
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [6]}
  • id: 698184
    {'degree': 4, 'field': [-206, -44, 10, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [4]}
  • id: 698185
    {'degree': 4, 'field': [121, 0, 11, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [3, 6]}
  • id: 698186
    {'degree': 4, 'field': [158, 18, -17, -2, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 6]}
  • id: 698187
    {'degree': 4, 'field': [994, -70, 71, -2, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 6]}
  • id: 698189
    {'degree': 8, 'field': [256, 0, 87, 0, 33, 0, -9, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 4]}
  • id: 698191
    {'degree': 8, 'field': [889, 644, -484, -300, 101, 56, -14, -4, 1], 'lmfdb_label': '13552.w6', 'torsion': [12]}
  • id: 698188
    {'degree': 8, 'field': [4489, 0, 14, 0, 106, 0, 14, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 4]}
  • id: 698192
    {'degree': 8, 'field': [9673, 6020, 2202, -716, 266, -20, -6, -4, 1], 'lmfdb_label': '13552.w6', 'torsion': [12]}
  • id: 698190
    {'degree': 8, 'field': [11137, 4032, -4217, -862, 728, 64, -45, -2, 1], 'lmfdb_label': '13552.w6', 'torsion': [6, 6]}
  • id: 698193
    {'degree': 16, 'field': [-45052, 29120, 69440, 75488, -38088, -70704, -63440, -22080, -4120, 2992, 1008, 208, -156, -56, -8, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [8]}
  • id: 698197
    {'degree': 16, 'field': [106456, 17920, -30422, 28210, -19263, -1478, 12338, -8470, 398, 622, 276, -78, -78, 14, 18, -8, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 12]}
  • id: 698198
    {'degree': 16, 'field': [117712, -142464, 171724, -79940, 115390, -150372, 145936, -74610, 10189, 4238, 490, -662, 80, -14, 22, -8, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 12]}
  • id: 698194
    {'degree': 16, 'field': [790321, 572516, 845012, 221704, 337667, 64896, 77928, 11336, 14184, -164, 2382, -276, 319, -56, 30, -4, 1], 'lmfdb_label': '13552.w6', 'torsion': [3, 12]}
  • id: 698195
    {'degree': 16, 'field': [2132761, 2195148, -1164916, -1649092, 406583, 595896, -127518, -132084, 31460, 19164, -5128, -1844, 519, 112, -30, -4, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 12]}
  • id: 698196
    {'degree': 16, 'field': [47004736, -44536576, 31810272, -17267232, 8013592, -3160224, 1270096, -413072, 128670, -34044, 9658, -2364, 543, -140, 26, -4, 1], 'lmfdb_label': '13552.w6', 'torsion': [2, 12]}
  • id: 698199
    {'degree': 18, 'field': [-2340254707, -466374216, 1902162108, 240900358, -695654091, -50199996, 148385205, 5271552, -20282988, -266222, 1844502, 2904, -111782, 264, 4356, -8, -99, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [18]}
  • id: 698200
    {'degree': 18, 'field': [39280866436, -4293500232, -1895341056, 427198512, 80893308, -75412908, 27448616, -6122580, -1188618, 913576, 600324, 222756, 60769, 4890, 1359, -110, 39, 0, 1], 'lmfdb_label': '13552.w6', 'torsion': [18]}
• 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: 296016
    {'conductor': 13552, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '13552.w6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 296017
    {'conductor': 13552, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '13552.w6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 296018
    {'conductor': 13552, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13552.w6', '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: 1754079
    {'adelic_gens': [[2773, 3564, 4554, 3169], [3023, 0, 0, 5543], [1, 36, 0, 1], [4126, 3531, 5445, 2212], [1, 0, 36, 1], [5509, 36, 5508, 37], [1, 6, 6, 37], [2773, 3564, 0, 1541], [19, 24, 1440, 1819], [1187, 2244, 990, 3365]], 'adelic_image': '5544.864.21.?', 'conductor': 13552, 'lmfdb_label': '13552.w6', 'prime': 0}
  • id: 64332
    {'conductor': 13552, 'elladic_image': '8.6.0.1', 'lmfdb_label': '13552.w6', 'modell_image': '2B', 'prime': 2}
  • id: 64333
    {'conductor': 13552, 'elladic_image': '3.12.0.1', 'lmfdb_label': '13552.w6', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 13552.w does not appear in ec_padic