Elliptic curve data - 45760.n3

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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': '45760bw', 'Clabel': '45760bw2', 'Cnumber': 2, 'abc_quality': 1.015012024632149, 'absD': 1207450625638400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [0, 1, 0, -26625, 26623], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 45760, 'degree': 294912, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5834178905196539427914681155', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7962857630209, 4606058600], 'lmfdb_iso': '45760.n', 'lmfdb_label': '45760.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -416, -104], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.6', '104.6.0.?', '156.24.0.?', '220.6.0.?', '312.48.0.?', '660.24.0.?', '1320.48.0.?', '5720.12.0.?', '8580.48.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 13], [3, 2, 4160], [5, 6, 9152], [11, 12, 4160], [13, 14, 3520]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54369711967973597866561993331', 'prec': 103}, 'szpiro_ratio': 3.9308365717323785, '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, 1, 0, 4, 0, 1, 0, 1, 0, -1, 0, -2, 0, -6, 0, 8, 0], 'aplist': [0, -2, 1, 4, 1, -1, -6, 8, 0, 0, 4, -2, 12, 8, -6, 12, 12, -8, 8, 12, -10, 4, 12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 45760, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '45760.n', 'trace_hash': 1203978276790188335}
• 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': '0.042136716982236698869128035225', 'prec': 107}, 'conductor': 45760, 'gens': [], 'heights': [], 'lmfdb_label': '45760.n3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.41169596903709643678807860188', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4701758142225786207284716113003732842', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1, 0, 1]], 'xcoord_integral_points': [1]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '11': [1, 0], '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '45760.n3'}
• ec_torsion_growth •

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

  
  
  • id: 2235335
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [2, 2]}
  • id: 2235336
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [6]}
  • id: 2235337
    {'degree': 4, 'field': [26, 0, -7, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [4]}
  • id: 2235338
    {'degree': 4, 'field': [49, 0, -12, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [2, 6]}
  • id: 2235339
    {'degree': 6, 'field': [-4668, 1152, 556, 4, 27, -2, 1], 'lmfdb_label': '45760.n3', 'torsion': [6]}
  • id: 2235342
    {'degree': 8, 'field': [1936, 0, -704, 0, 97, 0, -6, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [12]}
  • id: 2235340
    {'degree': 8, 'field': [4225, 0, -6084, 0, 988, 0, -52, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [2, 4]}
  • id: 2235341
    {'degree': 8, 'field': [6809, 8272, 6110, 2652, 1099, 20, -54, -4, 1], 'lmfdb_label': '45760.n3', 'torsion': [2, 4]}
  • id: 2235344
    {'degree': 12, 'field': [108900, 0, -85500, 0, 13525, 0, -10274, 0, 1203, 0, -62, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [2, 6]}
  • id: 2235343
    {'degree': 12, 'field': [1131408, -749088, 199200, 582864, 174316, 39128, 35068, -1928, 2759, -200, 88, -4, 1], 'lmfdb_label': '45760.n3', 'torsion': [3, 6]}
  • id: 2235347
    {'degree': 16, 'field': [618596, -332816, 1886608, -2242288, 2355436, -1580664, 923708, -432456, 186397, -64784, 22266, -6196, 1575, -268, 58, -4, 1], 'lmfdb_label': '45760.n3', 'torsion': [2, 12]}
  • id: 2235346
    {'degree': 16, 'field': [86564416, 0, -39668224, 0, 8993216, 0, -1314368, 0, 149312, 0, -11168, 0, 696, 0, -24, 0, 1], 'lmfdb_label': '45760.n3', 'torsion': [2, 12]}
  • id: 2235345
    {'degree': 16, 'field': [19193378000, -19321094000, 3526646300, 2432880200, -750415380, -129514400, 47985900, 2289120, -892644, 318156, -52143, -28262, 3575, 872, -73, -6, 1], 'lmfdb_label': '45760.n3', 'torsion': [8]}
  • id: 2235348
    {'degree': 18, 'field': [15132032, -45220096, 72344000, -56222592, 28196320, -1360832, -2687152, 4895776, 1290992, 597600, 454464, 133616, 28704, 6488, 612, -216, -58, 0, 1], 'lmfdb_label': '45760.n3', '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: 1090747
    {'conductor': 45760, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '45760.n3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1090748
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '45760.n3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1090749
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '45760.n3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1090750
    {'conductor': 45760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '45760.n3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1969078
    {'adelic_gens': [[9285, 12152, 9322, 12163], [7801, 12, 12486, 73], [5729, 2, 14358, 13], [1, 0, 12, 1], [11, 2, 17110, 17151], [10297, 12, 10302, 73], [1, 6, 6, 37], [17150, 17157, 8607, 8], [17149, 12, 17148, 13], [1, 12, 0, 1], [9250, 3, 14493, 17152]], 'adelic_image': '17160.96.1.?', 'conductor': 45760, 'lmfdb_label': '45760.n3', 'prime': 0}
  • id: 198359
    {'conductor': 45760, 'elladic_image': '2.3.0.1', 'lmfdb_label': '45760.n3', 'modell_image': '2B', 'prime': 2}
  • id: 198360
    {'conductor': 45760, 'elladic_image': '3.4.0.1', 'lmfdb_label': '45760.n3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 45760.n does not appear in ec_padic