Elliptic curve data - 395.a1

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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': '395c', 'Clabel': '395c1', 'Cnumber': 1, 'abc_quality': 0.8586381472214427, 'absD': 246875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 790, 'ainvs': [0, -1, 1, -50, 156], 'analytic_rank': 0, 'bad_primes': [5, 79], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 395, 'degree': 68, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.16782543001589583204429697195', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-14102327296, 246875], 'lmfdb_iso': '395.a', 'lmfdb_label': '395.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -50, 156], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '790.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[5, 6, 79], [79, 80, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16782543001589583204429697195', 'prec': 107}, 'szpiro_ratio': 3.913673618306575, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
• 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, -2, -1, 2, 1, 2, 3, 0, -2, -2, -3, -2, 4, -6, -1, -4, -2, 4, 0, 2], 'aplist': [-2, -1, 1, 3, -3, 4, -2, 0, 4, 0, 7, 3, 12, 4, -12, 9, 0, 12, -2, -8, 14, -1, 4, -10, 8], 'class_deg': 5, 'class_size': 2, 'conductor': 395, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '395.a', 'trace_hash': 381122223391395722}
• 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': '1.3988505449071863737122370403', 'prec': 100}, 'conductor': 395, 'gens': [], 'heights': [], 'lmfdb_label': '395.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '3.1249773129461094983351740492', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.62499546258922189966703480984658823926', 'prec': 133}, 'tamagawa_product': 5, 'torsion_generators': [[5, 2, 1]], 'xcoord_integral_points': [0, 5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 1, 0], '3': [0, 0], '5': [1, 0], '79': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '395.a1'}
• ec_torsion_growth •

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

  
  
  • id: 17207
    {'degree': 3, 'field': [5, 5, -1, 1], 'lmfdb_label': '395.a1', 'torsion': [10]}
  • id: 17208
    {'degree': 6, 'field': [1580, 0, 196, 0, 28, 0, 1], 'lmfdb_label': '395.a1', 'torsion': [2, 10]}
  • id: 17209
    {'degree': 8, 'field': [-25, 25, -10, -31, 19, -7, 7, -4, 1], 'lmfdb_label': '395.a1', 'torsion': [15]}
  • id: 17210
    {'degree': 12, 'field': [-25, 150, -280, 220, -405, 660, -284, -4, -13, -38, 12, -4, 1], 'lmfdb_label': '395.a1', 'torsion': [20]}
  • id: 17211
    {'degree': 20, 'field': [4931550625, -6513368750, 5438926250, -3563388750, 1991821750, -981458500, 438365750, -181217250, 70822150, -26803350, 9689750, -3334250, 1072670, -309770, 70450, -11780, 946, 42, 34, -2, 1], 'lmfdb_label': '395.a1', 'torsion': [5, 5]}
• 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: 4041
    {'conductor': 395, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '395.a1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 4042
    {'conductor': 395, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '395.a1', 'prime': 79, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1667483
    {'adelic_gens': [[161, 10, 15, 51], [6, 13, 735, 671], [1, 10, 5, 367], [1, 0, 10, 1], [1, 10, 0, 1], [781, 10, 780, 11]], 'adelic_image': '790.48.1.?', 'conductor': 395, 'lmfdb_label': '395.a1', 'prime': 0}
  • id: 1668
    {'conductor': 395, 'elladic_image': '5.24.0.1', 'lmfdb_label': '395.a1', 'modell_image': '5B.1.1', 'prime': 5}
• lmfdb_iso 395.a does not appear in ec_padic