Elliptic curve data - 198550.db2

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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': '198550bk', 'Clabel': '198550bk1', 'Cnumber': 1, 'abc_quality': 0.8204006326490144, 'absD': 404300539843750, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 5016, 'ainvs': [1, 1, 1, 17862, -295219], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 198550, 'degree': 1137240, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4917084767585999721293863824', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 79, 'isogeny_degrees': [1, 3], 'jinv': [34295, 22], 'lmfdb_iso': '198550.db', 'lmfdb_label': '198550.db2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 2, 1], 'min_quad_twist_disc': -95, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '57.8.0-3.a.1.1', '88.2.0.?', '264.8.0.?', '5016.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 99275], [5, 14, 7942], [11, 12, 18050], [19, 182, 550]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0534696211140205076089668890', 'prec': 103}, 'szpiro_ratio': 3.3597488825638773, '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, 2, 1, 0, 2, -4, 1, 1, 0, -1, 2, -5, -4, 0, 1, 0, 1, 0, 0], 'aplist': [1, 2, 0, -4, -1, -5, 0, 0, 3, -3, -5, 4, -12, 5, 0, -6, -12, -10, -14, -3, 8, 4, -15, -3, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 198550, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '198550.db', 'trace_hash': 209493249693484921}
• 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': '0.050619573292812189403262223900', 'prec': 107}, 'conductor': 198550, 'gens': [], 'heights': [], 'lmfdb_label': '198550.db2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30503360238418713407166747113', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.91510080715256140221500241339544784869', 'prec': 133}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 198550.db2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8712410
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '198550.db2', 'torsion': [3]}
  • id: 8712411
    {'degree': 3, 'field': [-10, -5, 0, 1], 'lmfdb_label': '198550.db2', 'torsion': [2]}
  • id: 8712413
    {'degree': 6, 'field': [-30258, -11664, 2028, -159, 31, -1, 1], 'lmfdb_label': '198550.db2', 'torsion': [3]}
  • id: 8712412
    {'degree': 6, 'field': [22, 0, 37, 0, 4, 0, 1], 'lmfdb_label': '198550.db2', 'torsion': [2, 2]}
  • id: 8712414
    {'degree': 6, 'field': [765, -465, 70, 9, 8, -3, 1], 'lmfdb_label': '198550.db2', 'torsion': [6]}
  • id: 8712415
    {'degree': 12, 'field': [-20040524, 11026024, -707908, -285144, 185627, -94626, 17444, 3194, -1748, 166, 12, -6, 1], 'lmfdb_label': '198550.db2', 'torsion': [4]}
  • id: 8712417
    {'degree': 12, 'field': [27423, 8778, -16055, 12246, 236, -9318, 6033, -2742, 984, -210, 53, -6, 1], 'lmfdb_label': '198550.db2', 'torsion': [2, 6]}
  • id: 8712416
    {'degree': 12, 'field': [143472484, 0, 3810044, 0, -1468224, 0, 31459, 0, -21, 0, 29, 0, 1], 'lmfdb_label': '198550.db2', 'torsion': [3, 3]}
  • id: 8712419
    {'degree': 18, 'field': [-124625242848, -55218945216, 31740081328, 15336552894, -4020435418, -2224620922, 339235690, 223720042, -22977066, -16388695, 1373127, 862142, -69030, -31268, 2656, 704, -64, -9, 1], 'lmfdb_label': '198550.db2', 'torsion': [6]}
  • id: 8712418
    {'degree': 18, 'field': [26030332, -30389808, 38908548, -32467222, 26954970, -17416776, 10172471, -4745994, 1963866, -667081, 210876, -57966, 16571, -4332, 1218, -284, 63, -9, 1], 'lmfdb_label': '198550.db2', '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: 4914930
    {'conductor': 198550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '198550.db2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4914931
    {'conductor': 198550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '198550.db2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4914932
    {'conductor': 198550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '198550.db2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4914933
    {'conductor': 198550, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '198550.db2', 'prime': 19, '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: 2936400
    {'adelic_gens': [[4, 3, 9, 7], [4749, 4750, 3686, 4217], [2639, 0, 0, 5015], [4105, 798, 171, 2395], [1255, 798, 0, 1], [2509, 798, 399, 2395], [1, 6, 0, 1], [3, 4, 8, 11], [2718, 3097, 3553, 2091], [1, 0, 6, 1], [5011, 6, 5010, 7]], 'adelic_image': '5016.16.0.?', 'conductor': 198550, 'lmfdb_label': '198550.db2', 'prime': 0}
  • id: 736950
    {'conductor': 198550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '198550.db2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 198550.db does not appear in ec_padic