Elliptic curve data - 154744.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
  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': '154744c', 'Clabel': '154744c2', 'Cnumber': 2, 'abc_quality': 0.8950584960350794, 'absD': 644426827384832, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [0, 0, 0, -29435, 1512118], 'analytic_rank': 1, 'bad_primes': [2, 23, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 154744, 'degree': 580608, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5541005787938289673219110702', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [2315250, 529], 'lmfdb_iso': '154744.d', 'lmfdb_label': '154744.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -35, 62], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.700385713573184001425357697', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 841], [23, 24, 6728], [29, 422, 184]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76493225171269124656885439065', 'prec': 107}, 'szpiro_ratio': 3.5552386895738475, '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, 4, 0, -3, 0, -6, 0, -2, 0, 0, 0, -6, 0, 6, 0], 'aplist': [0, 0, 0, 4, -6, -2, -6, 6, 1, 0, 0, 8, -6, 2, 8, -8, 4, 4, 2, -8, -6, -12, 10, -10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 154744, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '154744.d', 'trace_hash': 1805956593555709906}
• 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': '0.044681257634304003789766722077', 'prec': 107}, 'conductor': 154744, 'gens': [[-43826, 1036697354, 93]], 'heights': [{'__RealLiteral__': 0, 'data': '12.700385713573184001425357697', 'prec': 100}], 'lmfdb_label': '154744.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48242712805572246009395003420', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1270106049990385117255380950898641155', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[58, 0, 1]], 'xcoord_integral_points': [58]}
• lmfdb_label 154744.d1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6941664
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '154744.d1', 'torsion': [2, 2]}
  • id: 6941665
    {'degree': 4, 'field': [6728, 0, -87, 0, 1], 'lmfdb_label': '154744.d1', 'torsion': [4]}
  • id: 6941668
    {'degree': 8, 'field': [-37551, -1296, -6060, 4758, -192, -126, -12, 0, 1], 'lmfdb_label': '154744.d1', 'torsion': [6]}
  • id: 6941666
    {'degree': 8, 'field': [15376, 0, -2720, 0, -58, 0, -8, 0, 1], 'lmfdb_label': '154744.d1', 'torsion': [2, 4]}
  • id: 6941667
    {'degree': 8, 'field': [3587236, 0, -183964, 0, 4565, 0, -76, 0, 1], 'lmfdb_label': '154744.d1', 'torsion': [2, 4]}
  • id: 6941670
    {'degree': 16, 'field': [2433096049, -2070479496, 758784248, 19812732, -97038824, -28448556, 28894076, -1516368, -1556510, 39624, 3788, 13548, 112, -252, -40, 0, 1], 'lmfdb_label': '154744.d1', 'torsion': [2, 6]}
  • id: 6941669
    {'degree': 16, 'field': [3980404496, -8719761120, 7677618288, -3698664608, 1096007692, -152543288, -20770496, 15291160, -3057860, -16988, 137286, -24200, -313, 632, -53, -6, 1], 'lmfdb_label': '154744.d1', '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: 3827087
    {'conductor': 154744, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '154744.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3827088
    {'conductor': 154744, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154744.d1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3827089
    {'conductor': 154744, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '154744.d1', 'prime': 29, 'reduction_type': 0, '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: 2666286
    {'adelic_gens': [[2, 1, 91, 0], [1, 2, 2, 5], [25, 162, 160, 23], [3, 4, 8, 11], [181, 4, 180, 5], [1, 4, 0, 1], [97, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 154744, 'lmfdb_label': '154744.d1', 'prime': 0}
  • id: 591834
    {'conductor': 154744, 'elladic_image': '8.6.0.6', 'lmfdb_label': '154744.d1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 154744.d does not appear in ec_padic