Elliptic curve data - 353925.dd2

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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': '353925dd', 'Clabel': '353925dd6', 'Cnumber': 6, 'abc_quality': 0.9785267024283243, 'absD': 2193073089716665989421875, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 0, -81920592, -276331675559], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 353925, 'degree': 62914560, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4406419661371777811073477500', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3013001140430737, 108679952667], 'lmfdb_iso': '353925.dd', 'lmfdb_label': '353925.dd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3009, -61770], 'min_quad_twist_disc': 165, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '24.24.0.bl.1', '80.24.0.?', '104.24.0.?', '176.24.0.?', '220.12.0.?', '240.48.0.?', '312.48.0.?', '440.24.0.?', '528.48.0.?', '660.24.0.?', '880.48.0.?', '1040.48.0.?', '1320.48.0.?', '2288.48.0.?', '2640.96.0.?', '3120.96.0.?', '5720.48.0.?', '6864.96.1.?', '11440.96.0.?', '17160.96.0.?', '34320.192.1.?'], '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, 2, 27225], [3, 8, 39325], [5, 14, 14157], [11, 72, 2925], [13, 14, 27225]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88766922918688747607837367594', 'prec': 103}, 'szpiro_ratio': 5.187306430500382, '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, 0, -1, 0, 0, 0, -3, 0, 0, 0, 0, 1, 0, 0, -1, 6, 0, 4, 0], 'aplist': [1, 0, 0, 0, 0, 1, 6, 4, -8, -10, 0, -6, 10, 4, 8, -10, 12, -14, 12, 0, -6, -8, -12, -2, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 353925, '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': '353925.dd', 'trace_hash': 514555414852660899}
• 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': '0.0010268248249283949339780066959', 'prec': 110}, 'conductor': 353925, 'gens': [], 'heights': [], 'lmfdb_label': '353925.dd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.050293680802981940057099313602', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6093977856954220818271780352604106398', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-23869, 23869, 2]], 'xcoord_integral_points': []}
• lmfdb_label 353925.dd2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14761518
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [2, 2]}
  • id: 14761519
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '353925.dd2', 'torsion': [4]}
  • id: 14761520
    {'degree': 2, 'field': [165, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [4]}
  • id: 14761521
    {'degree': 4, 'field': [286, -22, 23, -2, 1], 'lmfdb_label': '353925.dd2', 'torsion': [2, 4]}
  • id: 14761522
    {'degree': 4, 'field': [36481, 0, 278, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [8]}
  • id: 14761523
    {'degree': 4, 'field': [59049, 0, 174, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [8]}
  • id: 14761527
    {'degree': 8, 'field': [-79899, 53589, -83676, 32454, 9090, 504, 179, -1, 1], 'lmfdb_label': '353925.dd2', 'torsion': [6]}
  • id: 14761525
    {'degree': 8, 'field': [25081, -9662, 10940, -2618, 1465, -190, 68, -4, 1], 'lmfdb_label': '353925.dd2', 'torsion': [8]}
  • id: 14761524
    {'degree': 8, 'field': [30589, 164268, -85852, -4056, 165, -156, -58, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [2, 4]}
  • id: 14761526
    {'degree': 8, 'field': [1166374, -60324, 63034, -5372, 2567, 140, -42, -4, 1], 'lmfdb_label': '353925.dd2', 'torsion': [2, 8]}
  • id: 14761533
    {'degree': 16, 'field': [989830699, -837524974, 1102918388, -570691506, 388225343, -132341660, 59397658, -14064432, 4759840, -890190, 240694, -36256, 7802, -840, 140, -8, 1], 'lmfdb_label': '353925.dd2', 'torsion': [12]}
  • id: 14761529
    {'degree': 16, 'field': [1082475801, 0, 683248104, 0, 182464698, 0, 27368040, 0, 2537275, 0, 149128, 0, 5430, 0, 112, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [2, 8]}
  • id: 14761532
    {'degree': 16, 'field': [6383850201, 0, -8947574019, 0, 1693276672, 0, -93595767, 0, 1821345, 0, 71167, 0, -2253, 0, -6, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [2, 6]}
  • id: 14761528
    {'degree': 16, 'field': [15526655236, 0, -14637875256, 0, 8900804728, 0, -45345420, 0, 11166525, 0, -196992, 0, 3130, 0, -108, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [4, 4]}
  • id: 14761534
    {'degree': 16, 'field': [8370588880809, 0, 1628644569021, 0, 138051080632, 0, 6687942297, 0, 202655265, 0, 3930743, 0, 47643, 0, 330, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [12]}
  • id: 14761530
    {'degree': 16, 'field': [10899005790049, -3035012695000, 1090286504008, -639459206672, 126711769704, -7792437224, 1720023864, -485362592, 35437294, -4227080, 713080, 38896, 6440, -1144, -120, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [16]}
  • id: 14761531
    {'degree': 16, 'field': [14078171863921, 0, 1106640102128, 0, 88938875872, 0, 390709088, 0, 185163058, 0, -5546896, 0, 100768, 0, -544, 0, 1], 'lmfdb_label': '353925.dd2', 'torsion': [16]}
• 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: 8762641
    {'conductor': 353925, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '353925.dd2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8762642
    {'conductor': 353925, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '353925.dd2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8762643
    {'conductor': 353925, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '353925.dd2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8762644
    {'conductor': 353925, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '353925.dd2', 'prime': 13, '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: 3872747
    {'adelic_gens': [[13741, 6880, 1460, 1401], [1, 16, 0, 1], [5, 4, 34316, 34317], [34305, 16, 34304, 17], [9359, 27440, 19960, 13599], [1, 0, 16, 1], [26606, 15445, 14665, 10306], [6863, 0, 0, 34319], [13741, 6880, 3440, 27141], [15, 2, 34222, 34307], [22864, 34315, 45, 14]], 'adelic_image': '34320.192.1.?', 'conductor': 353925, 'lmfdb_label': '353925.dd2', 'prime': 0}
  • id: 1223152
    {'conductor': 353925, 'elladic_image': '8.12.0.5', 'lmfdb_label': '353925.dd2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 353925.dd does not appear in ec_padic