Elliptic curve data - 327600.nt1

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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': '327600nt', 'Clabel': '327600nt2', 'Cnumber': 2, 'abc_quality': 0.9654638477781675, 'absD': 3606689066093568000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -1799355, -924512150], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 327600, 'degree': 8110080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4031147741833953565567911675', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 357, 'isogeny_degrees': [1, 2], 'jinv': [1726143065560493, 9662982966], 'lmfdb_iso': '327600.nt', 'lmfdb_label': '327600.nt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -12495, -540225], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '1820.6.0.?', '2184.6.0.?', '10920.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6656367927892274779189247752', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 45], [3, 8, 5200], [5, 10, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75830197118087010779174659427', 'prec': 103}, 'szpiro_ratio': 4.316879371209898, '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, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, -1, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 0, 1, 6, -1, 2, 4, -6, -2, -4, -6, 2, 6, 10, 0, -12, 0, 12, 12, 16, 8, 4, -2, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 327600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '327600.nt', 'trace_hash': 2262514162041092554}
• 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': '0.0081786387976744361836306618815', 'prec': 110}, 'conductor': 327600, 'gens': [[-769, 2106, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6656367927892274779189247752', 'prec': 100}], 'lmfdb_label': '327600.nt1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13039673941203249607862753699', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.425293127572662211672035932302107289', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-730, 0, 1]], 'xcoord_integral_points': [-769, -730, 1574, 4415]}
• lmfdb_label 327600.nt1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13758321
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '327600.nt1', 'torsion': [2, 2]}
  • id: 13758322
    {'degree': 4, 'field': [1106, 259, 51, -1, 1], 'lmfdb_label': '327600.nt1', 'torsion': [4]}
  • id: 13758325
    {'degree': 8, 'field': [-29414, 55996, 12154, 3842, -76, -166, 1, -2, 1], 'lmfdb_label': '327600.nt1', 'torsion': [6]}
  • id: 13758323
    {'degree': 8, 'field': [221841, 0, -71748, 0, 4584, 0, -132, 0, 1], 'lmfdb_label': '327600.nt1', 'torsion': [2, 4]}
  • id: 13758324
    {'degree': 8, 'field': [1679616, 0, 147744, 0, 9936, 0, 114, 0, 1], 'lmfdb_label': '327600.nt1', 'torsion': [2, 4]}
  • id: 13758327
    {'degree': 16, 'field': [200930625, 0, -59677500, 0, -25629500, 0, -88500, 0, 87750, 0, -18100, 0, 1860, 0, -60, 0, 1], 'lmfdb_label': '327600.nt1', 'torsion': [2, 6]}
  • id: 13758326
    {'degree': 16, 'field': [968444937216, 0, -70705089864, 0, 36891643050, 0, -6439694301, 0, 347036709, 0, -5602476, 0, 65110, 0, -409, 0, 1], 'lmfdb_label': '327600.nt1', 'torsion': [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: 8113214
    {'conductor': 327600, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '327600.nt1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8113215
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '327600.nt1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8113216
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '327600.nt1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8113217
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '327600.nt1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8113218
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '327600.nt1', '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: 3716130
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [7801, 4, 4682, 9], [2, 1, 5459, 0], [7282, 1, 7279, 0], [9556, 1369, 6825, 4096], [1, 0, 4, 1], [4201, 4, 8402, 9], [3, 4, 8, 11], [2188, 1, 2183, 0], [10917, 4, 10916, 5]], 'adelic_image': '10920.12.0.?', 'conductor': 327600, 'lmfdb_label': '327600.nt1', 'prime': 0}
  • id: 1143122
    {'conductor': 327600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '327600.nt1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 327600.nt does not appear in ec_padic