Elliptic curve data - 27225.n1

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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': '27225j', 'Clabel': '27225j1', 'Cnumber': 1, 'abc_quality': 1.148768405405738, 'absD': 81675, 'adelic_genus': 7, 'adelic_index': 120, 'adelic_level': 30, 'ainvs': [1, -1, 1, -980, -11558], 'analytic_rank': 0, 'bad_primes': [3, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 27225, 'degree': 6336, 'elladic_images': ['5.10.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24924772577661887155105026763', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [-1273201875, 1], 'lmfdb_iso': '27225.n', 'lmfdb_label': '27225.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -980, -11558], 'min_quad_twist_disc': 1, 'modell_images': ['5Nn'], 'modm_images': ['5.10.0.a.1', '6.6.0.b.1', '10.20.0.a.1', '15.20.0.b.1', '30.120.7.e.1'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9075], [3, 6, 3025], [5, 10, 1089], [11, 32, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69329421059582037107487819347', 'prec': 107}, 'szpiro_ratio': 3.1605611031974954, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, -1, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, 0, -1, -6, 0, 1, 0], 'aplist': [-1, 0, 0, 0, 0, 5, -6, 1, -2, 0, 1, 5, -10, -5, -6, -2, -10, 1, -5, 10, 5, 13, 10, -10, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 27225, 'isogeny_matrix': [[1]], 'lmfdb_iso': '27225.n', 'trace_hash': 1456894920220497807}
• 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': '0.60744390131045869130462458159', 'prec': 103}, 'conductor': 27225, 'gens': [], 'heights': [], 'lmfdb_label': '27225.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42667544178767037784476341884', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.85335088357534075568952683768396111165', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': 'a', '5': 'a', '7': [0, 0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0, 0], '31': [2, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '27225.n1'}
• ec_torsion_growth •

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

  
  
  • id: 1364072
    {'degree': 3, 'field': [-55, 0, 0, 1], 'lmfdb_label': '27225.n1', 'torsion': [2]}
  • id: 1364073
    {'degree': 6, 'field': [108, 18, -17, -3, 4, -3, 1], 'lmfdb_label': '27225.n1', 'torsion': [2, 2]}
  • id: 1364074
    {'degree': 8, 'field': [-2999, 464, -278, -373, 190, -7, 7, -4, 1], 'lmfdb_label': '27225.n1', 'torsion': [3]}
  • id: 1364075
    {'degree': 12, 'field': [-6524064, 6034176, -5716656, 1104840, -990, 21186, -19899, -2376, 1320, 330, -66, -6, 1], 'lmfdb_label': '27225.n1', 'torsion': [4]}
• 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: 628212
    {'conductor': 27225, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '27225.n1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 628213
    {'conductor': 27225, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '27225.n1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 628214
    {'conductor': 27225, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '27225.n1', 'prime': 11, 'reduction_type': 0, '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: 1845714
    {'adelic_gens': [[1, 20, 20, 11], [1, 12, 12, 25], [3, 13, 23, 2], [11, 25, 5, 6], [25, 12, 12, 19], [28, 25, 11, 22]], 'adelic_image': '30.120.7.?', 'conductor': 27225, 'lmfdb_label': '27225.n1', 'prime': 0}
  • id: 123270
    {'conductor': 27225, 'elladic_image': '5.10.0.1', 'lmfdb_label': '27225.n1', 'modell_image': '5Nn', 'prime': 5}
• lmfdb_iso 27225.n does not appear in ec_padic