Elliptic curve data - 370.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
  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': '370d', 'Clabel': '370d3', 'Cnumber': 3, 'abc_quality': 0.9792442637089362, 'absD': 4052240, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 0, 0, -5275, -147903], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 370, 'degree': 288, 'elladic_images': ['8.12.0.21', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64350775181995112148400110657', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16232905099479601, 4052240], 'lmfdb_iso': '370.d', 'lmfdb_label': '370.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5275, -147903], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.b.1', '6.24.0-6.a.1.2', '8.12.0-4.b.1.3', '12.48.0-12.f.1.6', '24.96.0-24.br.2.7', '370.6.0.?', '740.24.0.?', '1110.48.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], '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': True, 'serre_invariants': [[2, 4, 185], [3, 2, 10], [5, 6, 74], [37, 38, 10]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64350775181995112148400110657', 'prec': 103}, 'szpiro_ratio': 6.311963775191414, '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, -2, 1, 1, -2, 2, 1, 1, 1, 0, -2, 2, 2, -2, 1, 6, 1, 2, 1], 'aplist': [1, -2, 1, 2, 0, 2, 6, 2, 0, 6, -10, 1, -6, -4, -6, 6, -6, -10, 2, 0, 2, -10, -6, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 370, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '370.d', 'trace_hash': 1162538809174549957}
• 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': '0.27609355490895749250736987635', 'prec': 103}, 'conductor': 370, 'gens': [], 'heights': [], 'lmfdb_label': '370.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.56020053131098247303132967932', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6806015939329474190939890379478240440', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-42, 21, 1]], 'xcoord_integral_points': [-42]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 1], '5': [1, 0], '37': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '370.d1'}
• ec_torsion_growth •

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

  
  
  • id: 16159
    {'degree': 2, 'field': [-46, -1, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 2]}
  • id: 16160
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '370.d1', 'torsion': [6]}
  • id: 16161
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '370.d1', 'torsion': [6]}
  • id: 16162
    {'degree': 4, 'field': [10, 6, -5, -2, 1], 'lmfdb_label': '370.d1', 'torsion': [4]}
  • id: 16163
    {'degree': 4, 'field': [2116, 46, 47, -1, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 6]}
  • id: 16165
    {'degree': 6, 'field': [-33164, -4636, -450, -185, 45, -1, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 6]}
  • id: 16164
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '370.d1', 'torsion': [3, 6]}
  • id: 16169
    {'degree': 8, 'field': [100, 60, 86, 10, 27, -2, 9, -2, 1], 'lmfdb_label': '370.d1', 'torsion': [12]}
  • id: 16168
    {'degree': 8, 'field': [640, 160, 452, -8, 84, -24, 9, -2, 1], 'lmfdb_label': '370.d1', 'torsion': [8]}
  • id: 16166
    {'degree': 8, 'field': [1936, -264, 18, -182, 89, -2, 8, -4, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 4]}
  • id: 16167
    {'degree': 8, 'field': [7360, 8320, -2440, -3460, 566, 323, -51, -3, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 4]}
  • id: 16171
    {'degree': 12, 'field': [320, -640, 1200, -1360, 980, -220, -7, 154, -29, 2, 13, -4, 1], 'lmfdb_label': '370.d1', 'torsion': [12]}
  • id: 16170
    {'degree': 12, 'field': [186076881, -53486361, 17693211, 3258360, -1025645, 394609, 40886, -9011, 2575, 140, -49, -1, 1], 'lmfdb_label': '370.d1', 'torsion': [6, 6]}
  • id: 16173
    {'degree': 16, 'field': [164000, -380000, 641400, -554200, 362940, -124800, 81710, -42190, 20861, -7818, 2668, -826, 350, -126, 38, -8, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 8]}
  • id: 16176
    {'degree': 16, 'field': [409600, 102400, -263680, 82560, 151824, -45856, -22544, 21184, 1516, -2616, 708, 112, -51, 30, -5, -2, 1], 'lmfdb_label': '370.d1', 'torsion': [24]}
  • id: 16174
    {'degree': 16, 'field': [662596, 0, 1152328, 0, 286857, 0, -59372, 0, -12312, 0, 2194, 0, 68, 0, -24, 0, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 12]}
  • id: 16172
    {'degree': 16, 'field': [54169600, 0, 105139200, 0, 71859520, 0, 20859120, 0, 2869036, 0, 187701, 0, 5671, 0, 111, 0, 1], 'lmfdb_label': '370.d1', 'torsion': [4, 4]}
  • id: 16175
    {'degree': 16, 'field': [54169600, 61235200, 87180800, 30630400, 30575040, 1401440, 9914560, -828520, 1256216, -154462, 117935, -16537, 3004, -493, 60, -3, 1], 'lmfdb_label': '370.d1', 'torsion': [2, 12]}
  • id: 16177
    {'degree': 18, 'field': [46656000000, 0, 0, -3227040000, 0, 0, 129265200, 0, 0, -2968020, 0, 0, 42049, 0, 0, -323, 0, 0, 1], 'lmfdb_label': '370.d1', '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: 3731
    {'conductor': 370, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '370.d1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3732
    {'conductor': 370, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '370.d1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3733
    {'conductor': 370, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '370.d1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1667375
    {'adelic_gens': [[258, 1, 2543, 8], [2221, 24, 2220, 1], [1, 12, 12, 145], [4417, 24, 4416, 25], [7, 24, 492, 1687], [1, 24, 0, 1], [1111, 24, 0, 1], [1792, 3, 1317, 4354], [1481, 24, 1480, 1], [1, 0, 24, 1], [21, 4, 4340, 4421]], 'adelic_image': '4440.384.9.?', 'conductor': 370, 'lmfdb_label': '370.d1', 'prime': 0}
  • id: 1564
    {'conductor': 370, 'elladic_image': '8.12.0.21', 'lmfdb_label': '370.d1', 'modell_image': '2B', 'prime': 2}
  • id: 1565
    {'conductor': 370, 'elladic_image': '3.8.0.2', 'lmfdb_label': '370.d1', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 370.d does not appear in ec_padic