Elliptic curve data - 370.d4

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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': '370d', 'Clabel': '370d2', 'Cnumber': 2, 'abc_quality': 0.9481798185675541, 'absD': 1369000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 0, 0, 245, -975], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 370, 'degree': 192, 'elladic_images': ['4.12.0.12', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44077519776586893049499454884', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1625964918479, 1369000000], 'lmfdb_iso': '370.d', 'lmfdb_label': '370.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 245, -975], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.12.0-4.a.1.1', '6.24.0-6.a.1.4', '12.96.0-12.b.1.3', '740.24.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 2, 37], [5, 6, 74], [37, 38, 10]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44077519776586893049499454884', 'prec': 103}, 'szpiro_ratio': 4.7547320978211705, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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': '0.41414033236343623876105481453', 'prec': 103}, 'conductor': 370, 'gens': [], 'heights': [], 'lmfdb_label': '370.d4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.84030079696647370954699451897', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6806015939329474190939890379478240440', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[50, 345, 1]], 'xcoord_integral_points': [10, 50]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': [2, 0], '5': [1, 0], '37': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '370.d4'}
• ec_torsion_growth •

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

  
  
  • id: 16149
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '370.d4', 'torsion': [2, 6]}
  • id: 16150
    {'degree': 4, 'field': [-4, 0, -13, 0, 1], 'lmfdb_label': '370.d4', 'torsion': [12]}
  • id: 16151
    {'degree': 4, 'field': [10, 6, -5, -2, 1], 'lmfdb_label': '370.d4', 'torsion': [2, 12]}
  • id: 16152
    {'degree': 6, 'field': [48, 12, -11, -3, 4, -3, 1], 'lmfdb_label': '370.d4', 'torsion': [3, 6]}
  • id: 16153
    {'degree': 8, 'field': [1936, -264, 18, -182, 89, -2, 8, -4, 1], 'lmfdb_label': '370.d4', 'torsion': [4, 12]}
  • id: 16154
    {'degree': 9, 'field': [-284, 28, -54, -85, 92, -3, 0, 11, -2, 1], 'lmfdb_label': '370.d4', 'torsion': [18]}
  • id: 16155
    {'degree': 12, 'field': [2304, 0, 1200, 0, 577, 0, -71, 0, -24, 0, 1, 0, 1], 'lmfdb_label': '370.d4', 'torsion': [6, 6]}
  • id: 16157
    {'degree': 16, 'field': [4096, 0, -19712, 0, 31432, 0, 42664, 0, 3780, 0, -2816, 0, 402, 0, -22, 0, 1], 'lmfdb_label': '370.d4', 'torsion': [2, 24]}
  • id: 16156
    {'degree': 16, 'field': [65536, 0, 301568, 0, 1568048, 0, 144886, 0, -178735, 0, 21196, 0, -2142, 0, -42, 0, 1], 'lmfdb_label': '370.d4', 'torsion': [24]}
  • id: 16158
    {'degree': 18, 'field': [80656, 0, -29888, 0, -44580, 0, 16993, 0, 8474, 0, -2021, 0, -132, 0, 115, 0, -18, 0, 1], 'lmfdb_label': '370.d4', 'torsion': [2, 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: 3728
    {'conductor': 370, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '370.d4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3729
    {'conductor': 370, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '370.d4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3730
    {'conductor': 370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '370.d4', 'prime': 37, '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: 1667378
    {'adelic_gens': [[1695, 22, 1862, 443], [1111, 24, 555, 1], [13, 24, 3732, 3133], [3559, 18, 2298, 3499], [4417, 24, 4416, 25], [2979, 16, 886, 123], [2221, 24, 0, 1], [1, 24, 0, 1], [15, 16, 314, 335], [1, 0, 24, 1]], 'adelic_image': '4440.384.9.?', 'conductor': 370, 'lmfdb_label': '370.d4', 'prime': 0}
  • id: 1570
    {'conductor': 370, 'elladic_image': '4.12.0.12', 'lmfdb_label': '370.d4', 'modell_image': '2B', 'prime': 2}
  • id: 1571
    {'conductor': 370, 'elladic_image': '3.8.0.1', 'lmfdb_label': '370.d4', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 370.d does not appear in ec_padic