Elliptic curve data - 364560.ej1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '364560ej', 'Clabel': '364560ej2', 'Cnumber': 2, 'abc_quality': 0.9449610246978523, 'absD': 1722719285575680, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 26040, 'ainvs': [0, 1, 0, -409656, -101076396], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 31], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 364560, 'degree': 3265920, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9157071453910839233586877915', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 113, 'isogeny_degrees': [1, 3], 'jinv': [-15777367606441, 3574920], 'lmfdb_iso': '364560.ej', 'lmfdb_label': '364560.ej1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -523, -4642], 'min_quad_twist_disc': 28, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '84.8.0.?', '3720.8.0.?', '26040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3306527625886862680546723265', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24960489030348196138877929832', 'prec': 103}, 'szpiro_ratio': 3.934207386437908, '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, 0, 1, 0, -1, 0, 0, 0, 1, 0, 3, 0, -2, 0, -1, 0, 0, 0, 5, 0], 'aplist': [0, 1, -1, 0, 3, -2, 0, 5, -9, 0, 1, 8, 0, -11, -6, -9, 6, 10, -14, -9, 1, 1, -12, 9, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 364560, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '364560.ej', 'trace_hash': 316251759427453234}
• 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': '0.021678933622333300201958162347', 'prec': 107}, 'conductor': 364560, 'gens': [[27542, 4569648, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.3306527625886862680546723265', 'prec': 100}], 'lmfdb_label': '364560.ej1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.094353656956962988299695324197', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4323306358664272296232301810453648436', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [27542]}
• lmfdb_label 364560.ej1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15155162
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '364560.ej1', 'torsion': [3]}
  • id: 15155163
    {'degree': 3, 'field': [30, 10, -1, 1], 'lmfdb_label': '364560.ej1', 'torsion': [2]}
  • id: 15155165
    {'degree': 6, 'field': [-118, -630, 147, -30, -21, 0, 1], 'lmfdb_label': '364560.ej1', 'torsion': [3]}
  • id: 15155164
    {'degree': 6, 'field': [1296, -432, 1038, -84, 13, -2, 1], 'lmfdb_label': '364560.ej1', 'torsion': [2, 2]}
  • id: 15155166
    {'degree': 6, 'field': [4782, 1668, 316, -12, -5, 0, 1], 'lmfdb_label': '364560.ej1', 'torsion': [6]}
  • id: 15155167
    {'degree': 12, 'field': [-619795020, -595801740, -484041018, -277698966, -125638762, -25917496, -2444066, -46058, -12548, -574, -199, -1, 1], 'lmfdb_label': '364560.ej1', 'torsion': [4]}
  • id: 15155168
    {'degree': 12, 'field': [13924, -74340, 414246, 99690, 231, 30870, 3751, 0, 294, -60, 21, 0, 1], 'lmfdb_label': '364560.ej1', 'torsion': [3, 3]}
  • id: 15155169
    {'degree': 12, 'field': [20208150, -15155460, 2469666, 2067576, -1185383, 6452, 109306, -16388, -1204, 352, -8, -4, 1], 'lmfdb_label': '364560.ej1', 'torsion': [2, 6]}
  • id: 15155171
    {'degree': 18, 'field': [1833424328, -2009009520, 4672167444, 143822340, 329831397, -580770540, -34845459, 5840100, 10305288, -1157400, -448434, 26460, -25602, 3780, 1764, -180, -63, 0, 1], 'lmfdb_label': '364560.ej1', 'torsion': [6]}
  • id: 15155170
    {'degree': 18, 'field': [1544293072083168, -43346223476640, 165760571415600, 1929851186976, 4036559233896, -172912542264, -27518592780, 490749840, 713101536, 57100140, 30973068, 1406160, -1025855, 10416, 17451, -124, -105, 0, 1], 'lmfdb_label': '364560.ej1', 'torsion': [9]}
• 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: 9019741
    {'conductor': 364560, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '364560.ej1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9019742
    {'conductor': 364560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '364560.ej1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9019743
    {'conductor': 364560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '364560.ej1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9019744
    {'conductor': 364560, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '364560.ej1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9019745
    {'conductor': 364560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '364560.ej1', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3934635
    {'adelic_gens': [[4, 3, 9, 7], [10417, 18606, 1491, 3739], [19529, 7434, 10227, 22301], [26035, 6, 26034, 7], [13021, 18606, 9303, 3739], [9458, 20307, 7441, 22786], [9241, 18606, 24003, 3739], [1, 6, 0, 1], [3, 4, 8, 11], [14879, 0, 0, 26039], [1, 0, 6, 1]], 'adelic_image': '26040.16.0.?', 'conductor': 364560, 'lmfdb_label': '364560.ej1', 'prime': 0}
  • id: 1254364
    {'conductor': 364560, 'elladic_image': '3.4.0.1', 'lmfdb_label': '364560.ej1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 364560.ej does not appear in ec_padic