Elliptic curve data - 194350.dd2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '194350u', 'Clabel': '194350u1', 'Cnumber': 1, 'abc_quality': 0.8996042082231708, 'absD': 707032278550, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 11960, 'ainvs': [1, 1, 1, -4508, -111129], 'analytic_rank': 1, 'bad_primes': [2, 5, 13, 23], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 194350, 'degree': 360000, 'elladic_images': ['5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0214077602385313585533778427', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 81, 'isogeny_degrees': [1, 5], 'jinv': [184463901445, 12872686], 'lmfdb_iso': '194350.dd', 'lmfdb_label': '194350.dd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -4508, -111129], 'min_quad_twist_disc': 1, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '65.24.0-65.a.2.2', '920.12.0.?', '2392.2.0.?', '11960.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.3839845726946150113540813628', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7475], [5, 10, 338], [13, 50, 1150], [23, 24, 8450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11193076880079711210654609344', 'prec': 103}, 'szpiro_ratio': 3.0264584633765326, '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, -1, 1, 0, -1, 2, 1, -2, 0, 5, -1, 0, 2, 0, 1, -8, -2, 4, 0], 'aplist': [1, -1, 0, 2, 5, 0, -8, 4, -1, 10, -5, -8, 0, -4, 7, 9, 6, -3, 3, 5, -6, 0, -9, -14, -2], 'class_deg': 5, 'class_size': 2, 'conductor': 194350, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '194350.dd', 'trace_hash': 1559855240010249710}
• 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': '0.12966312727590427231223886353', 'prec': 103}, 'conductor': 194350, 'gens': [[39019, 7402177, 10]], 'heights': [{'__RealLiteral__': 0, 'data': '9.3839845726946150113540813628', 'prec': 100}], 'lmfdb_label': '194350.dd2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58520443970107481588272764651', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.983098868054564305177355403251590442', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 194350.dd2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8547163
    {'degree': 3, 'field': [-10, -25, 0, 1], 'lmfdb_label': '194350.dd2', 'torsion': [2]}
  • id: 8547164
    {'degree': 4, 'field': [3, 4, 2, -1, 1], 'lmfdb_label': '194350.dd2', 'torsion': [5]}
  • id: 8547165
    {'degree': 6, 'field': [-59800, 0, 5625, 0, -150, 0, 1], 'lmfdb_label': '194350.dd2', 'torsion': [2, 2]}
  • id: 8547166
    {'degree': 8, 'field': [6094260, 491640, 90706, -30109, -3990, -695, -15, -4, 1], 'lmfdb_label': '194350.dd2', 'torsion': [3]}
  • id: 8547167
    {'degree': 12, 'field': [-537994496, -742701440, -9455888, 75857600, 12526840, -2132000, -390540, 41600, 3530, -4680, -578, 0, 1], 'lmfdb_label': '194350.dd2', 'torsion': [4]}
  • id: 8547168
    {'degree': 12, 'field': [2131177, 2524978, 679293, -14379, 338782, 9891, -55492, -3885, 3318, 209, -91, -3, 1], 'lmfdb_label': '194350.dd2', 'torsion': [10]}
  • id: 8547169
    {'degree': 20, 'field': [-1073741824, 0, 0, 0, 0, 2240544768, 0, 0, 0, 0, -3152896, 0, 0, 0, 0, -2568, 0, 0, 0, 0, 1], 'lmfdb_label': '194350.dd2', 'torsion': [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: 4812902
    {'conductor': 194350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '194350.dd2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4812903
    {'conductor': 194350, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '194350.dd2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4812904
    {'conductor': 194350, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '194350.dd2', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4812905
    {'conductor': 194350, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '194350.dd2', 'prime': 23, '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: 2911173
    {'adelic_gens': [[5981, 10, 5985, 51], [1, 0, 10, 1], [6, 13, 11905, 11841], [1847, 10, 65, 93], [10401, 10, 4165, 51], [2991, 10, 2995, 51], [2991, 5990, 0, 10167], [11951, 10, 11950, 11], [1, 10, 0, 1]], 'adelic_image': '11960.48.1.?', 'conductor': 194350, 'lmfdb_label': '194350.dd2', 'prime': 0}
  • id: 723350
    {'conductor': 194350, 'elladic_image': '5.6.0.1', 'lmfdb_label': '194350.dd2', 'modell_image': '5B', 'prime': 5}
• lmfdb_iso 194350.dd does not appear in ec_padic