Elliptic curve data - 17238.m2

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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': '17238j', 'Clabel': '17238j2', 'Cnumber': 2, 'abc_quality': 0.9489425211495345, 'absD': 225981543762, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [1, 1, 1, 1264, 15491], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17238, 'degree': 30720, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86552007844243449717317634861', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [46268279, 46818], 'lmfdb_iso': '17238.m', 'lmfdb_label': '17238.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 8, 10], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '68.6.0.c.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41695460028833387085356737217', 'prec': 107}, 'szpiro_ratio': 3.3869911269150017, '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, 1, -1, 1, 4, -1, 2, 1, 1, 4, 0, -1, 0, 2, -4, 1, -1, 1, -4, 4], 'aplist': [1, -1, 4, 2, 0, 0, -1, -4, 6, -4, 6, 4, 10, -4, -4, -2, -12, -4, 12, 6, -2, 10, 12, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 17238, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17238.m', 'trace_hash': 1818091112178456142}
• 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': '0.17710010224136135612983148479', 'prec': 103}, 'conductor': 17238, 'gens': [], 'heights': [], 'lmfdb_label': '17238.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.65563674766115323790773000193', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2450939812892259032618400154086500611', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-45, 41, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [0, 0], '13': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '17238.m2'}
• ec_torsion_growth •

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

  
  
  • id: 881454
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '17238.m2', 'torsion': [2, 2]}
  • id: 881455
    {'degree': 4, 'field': [-338, 0, 39, 0, 1], 'lmfdb_label': '17238.m2', 'torsion': [4]}
  • id: 881456
    {'degree': 8, 'field': [81, 0, 8226, 0, -14, 0, -30, 0, 1], 'lmfdb_label': '17238.m2', 'torsion': [2, 4]}
  • id: 881458
    {'degree': 8, 'field': [308, -15460, 2792, -904, 1046, -298, 1, -2, 1], 'lmfdb_label': '17238.m2', 'torsion': [6]}
  • id: 881457
    {'degree': 8, 'field': [5776, 0, 640, 0, -118, 0, -8, 0, 1], 'lmfdb_label': '17238.m2', 'torsion': [2, 4]}
  • id: 881460
    {'degree': 16, 'field': [5531904, 0, 9307776, 0, -6238592, 0, 467496, 0, 76188, 0, 32994, 0, 1884, 0, 48, 0, 1], 'lmfdb_label': '17238.m2', 'torsion': [2, 6]}
  • id: 881459
    {'degree': 16, 'field': [5934214348, 9059360384, -3638553160, -1175337648, 881618392, 73807240, -86355588, -1375600, 5572713, 98276, -231204, -5564, 6418, 180, -112, -4, 1], 'lmfdb_label': '17238.m2', '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: 384323
    {'conductor': 17238, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17238.m2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 384324
    {'conductor': 17238, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17238.m2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 384325
    {'conductor': 17238, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17238.m2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 384326
    {'conductor': 17238, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17238.m2', 'prime': 17, '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: 1778734
    {'adelic_gens': [[133, 4, 132, 5], [2, 1, 67, 0], [1, 4, 0, 1], [52, 89, 17, 120], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [105, 4, 74, 9]], 'adelic_image': '136.12.0.?', 'conductor': 17238, 'lmfdb_label': '17238.m2', 'prime': 0}
  • id: 80678
    {'conductor': 17238, 'elladic_image': '8.6.0.5', 'lmfdb_label': '17238.m2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 17238.m does not appear in ec_padic