Elliptic curve data - 37845.d1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '37845d', 'Clabel': '37845d8', 'Cnumber': 8, 'abc_quality': 1.0735374703334082, 'absD': 175618611408645, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 13920, 'ainvs': [1, -1, 1, -16349198, 25448520512], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 37845, 'degree': 802816, 'elladic_images': ['16.48.0.121'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5238236678043933812628942589', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '37845.d', 'lmfdb_label': '37845.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': -87, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '16.48.0.x.2', '20.12.0.g.1', '40.48.0.bj.1', '80.96.1.?', '96.96.1.?', '160.192.5.?', '240.192.5.?', '348.12.0.?', '480.384.13.?', '696.48.0.?', '928.96.0.?', '1392.96.0.?', '1740.24.0.?', '2320.192.1.?', '2784.192.1.?', '3480.96.0.?', '4640.384.5.?', '6960.384.5.?', '13920.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562426', 'prec': 103}, 'szpiro_ratio': 5.828781880116977, '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, -1, 0, 0, 3, 0, 1, -4, 0, -2, 0, 0, -1, 2, 0, -4, 1], 'aplist': [-1, 0, -1, 0, -4, -2, 2, -4, 0, 0, 0, 10, 10, -4, 8, 10, 4, 2, 12, 8, -10, 0, -12, -6, -2], 'class_deg': 16, 'class_size': 8, 'conductor': 37845, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '37845.d', 'trace_hash': 773125551169787911}
• 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': '0.0064244302086710606372607551210', 'prec': 110}, 'conductor': 37845, 'gens': [], 'heights': [], 'lmfdb_label': '37845.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.34227025899696415732802111833', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.68454051799392831465604223665324711100', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[9339, -9343, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [0, 0], '29': 'a'}, 'iwp0': 3, 'lmfdb_label': '37845.d1'}
• ec_torsion_growth •

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

  
  
  • id: 1869678
    {'degree': 2, 'field': [-435, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [4]}
  • id: 1869677
    {'degree': 2, 'field': [-87, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [4]}
  • id: 1869676
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '37845.d1', 'torsion': [2, 2]}
  • id: 1869681
    {'degree': 4, 'field': [1849, 0, -88, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [8]}
  • id: 1869680
    {'degree': 4, 'field': [5929, 0, -194, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [8]}
  • id: 1869679
    {'degree': 4, 'field': [7309, 176, -175, -2, 1], 'lmfdb_label': '37845.d1', 'torsion': [2, 4]}
  • id: 1869687
    {'degree': 8, 'field': [-74565, -1849, 1369, -171, 733, 38, 54, -1, 1], 'lmfdb_label': '37845.d1', 'torsion': [6]}
  • id: 1869682
    {'degree': 8, 'field': [229876, -43892, 46786, -5876, 3159, -268, 94, -4, 1], 'lmfdb_label': '37845.d1', 'torsion': [2, 4]}
  • id: 1869683
    {'degree': 8, 'field': [238686, -41292, 44206, -5916, 3179, -268, 94, -4, 1], 'lmfdb_label': '37845.d1', 'torsion': [8]}
  • id: 1869686
    {'degree': 8, 'field': [2356225, 0, -761600, 0, 30360, 0, -320, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [16]}
  • id: 1869684
    {'degree': 8, 'field': [2951089, 310980, -299444, -22892, 10997, 536, -174, -4, 1], 'lmfdb_label': '37845.d1', 'torsion': [2, 8]}
  • id: 1869685
    {'degree': 8, 'field': [12852225, 0, -1286400, 0, 33640, 0, -320, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [16]}
  • id: 1869693
    {'degree': 16, 'field': [176544369, 195305613, 209807444, -18669181, 18432700, -2989209, 4567818, 112953, 7108, -103025, -5737, 4803, 867, -48, -70, -1, 1], 'lmfdb_label': '37845.d1', 'torsion': [2, 6]}
  • id: 1869695
    {'degree': 16, 'field': [302413785, 316553100, -4964574344, 84697138, -437497976, -153341512, -1113994, -6814954, -1431457, 325574, -64177, 8776, 1936, -122, 109, -2, 1], 'lmfdb_label': '37845.d1', 'torsion': [12]}
  • id: 1869689
    {'degree': 16, 'field': [419430400, 0, 0, 0, 0, 0, 0, 0, 32555, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [2, 8]}
  • id: 1869694
    {'degree': 16, 'field': [1577370429, 15062922, -1288747152, 138332664, -279370188, -28057500, -28938777, -1152438, -880562, 45664, 40537, 3142, 3772, -32, 109, -2, 1], 'lmfdb_label': '37845.d1', 'torsion': [12]}
  • id: 1869692
    {'degree': 16, 'field': [1766100625, 0, -8606720000, 0, 9195488000, 0, -1337616000, 0, 80575775, 0, -2457600, 0, 39680, 0, -320, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [2, 16]}
  • id: 1869691
    {'degree': 16, 'field': [10485760000, 0, 0, 0, -33587200, 0, 0, 0, 99369, 0, 0, 0, -328, 0, 0, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [16]}
  • id: 1869688
    {'degree': 16, 'field': [46199633481, 0, 17309584776, 0, 2857100290, 0, 268938824, 0, 15731379, 0, 584584, 0, 13470, 0, 176, 0, 1], 'lmfdb_label': '37845.d1', 'torsion': [4, 4]}
  • id: 1869690
    {'degree': 16, 'field': [56971006596, 0, -19397677368, 0, 2983169080, 0, -268803148, 0, 15392829, 0, -566912, 0, 13050, 0, -172, 0, 1], 'lmfdb_label': '37845.d1', '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: 893012
    {'conductor': 37845, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '37845.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 893013
    {'conductor': 37845, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '37845.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 893014
    {'conductor': 37845, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '37845.d1', 'prime': 29, '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: 1916717
    {'adelic_gens': [[11657, 12934, 11658, 12469], [1, 0, 32, 1], [1, 32, 0, 1], [5, 28, 68, 381], [4319, 0, 0, 13919], [6352, 10585, 1943, 9426], [5221, 12992, 4756, 12993], [4351, 12992, 870, 1], [23, 18, 11358, 11915], [13889, 32, 13888, 33]], 'adelic_image': '13920.768.13.?', 'conductor': 37845, 'lmfdb_label': '37845.d1', 'prime': 0}
  • id: 166986
    {'conductor': 37845, 'elladic_image': '16.48.0.121', 'lmfdb_label': '37845.d1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 37845.d does not appear in ec_padic