Elliptic curve data - 198450.h1

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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': '198450fi', 'Clabel': '198450fi1', 'Cnumber': 1, 'abc_quality': 1.0150956588910676, 'absD': 48198089937715200000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 14, 'ainvs': [1, -1, 0, -16230867, -27291232459], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 198450, 'degree': 21288960, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0922302197213309683808702714', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [-41150864295, 4194304], 'lmfdb_iso': '198450.h', 'lmfdb_label': '198450.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -119247, -17159059], 'min_quad_twist_disc': 105, 'modell_images': [], 'modm_images': ['14.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3561645716285324730232092444', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 14175], [3, 6, 70], [5, 14, 7938], [7, 20, 4050], [11, 2, 99225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.010532855306390894120393539872', 'prec': 107}, 'szpiro_ratio': 5.0485021370834735, '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, -1, 0, 0, -5, 0, -4, 0, 0, 1, 4, 0, -6, 0], 'aplist': [-1, 0, 0, 0, -5, -4, 4, -6, 1, -3, -8, 2, 2, 1, -4, -1, -4, 8, -13, 9, 4, 13, -10, -2, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 198450, 'isogeny_matrix': [[1]], 'lmfdb_iso': '198450.h', 'trace_hash': 82634242518918551}
• 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': '0.0020612134021051902008306193040', 'prec': 110}, 'conductor': 198450, 'gens': [[603494, 468511053, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.3561645716285324730232092444', 'prec': 100}], 'lmfdb_label': '198450.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.037392511435833297527682505020', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3007856144218998098466344448977667147', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [603494]}
• lmfdb_label 198450.h1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8708461
    {'degree': 3, 'field': [-40, 15, 0, 1], 'lmfdb_label': '198450.h1', 'torsion': [2]}
  • id: 8708462
    {'degree': 6, 'field': [700, 0, 225, 0, -30, 0, 1], 'lmfdb_label': '198450.h1', 'torsion': [2, 2]}
  • id: 8708463
    {'degree': 8, 'field': [284, 11, -20, -71, 7, -19, 11, -4, 1], 'lmfdb_label': '198450.h1', 'torsion': [3]}
  • id: 8708464
    {'degree': 12, 'field': [-881642, 3508926, -2656041, -2127482, -215055, -226638, 70731, -6138, 3555, -434, -3, -6, 1], 'lmfdb_label': '198450.h1', '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: 4912619
    {'conductor': 198450, 'conductor_valuation': 1, 'discriminant_valuation': 22, 'j_denominator_valuation': 22, 'kodaira_symbol': 26, 'lmfdb_label': '198450.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4912620
    {'conductor': 198450, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '198450.h1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4912621
    {'conductor': 198450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '198450.h1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4912622
    {'conductor': 198450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '198450.h1', 'prime': 7, 'reduction_type': 0, '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

  
  {'adelic_gens': [[13, 2, 12, 3], [1, 1, 13, 0], [3, 2, 3, 3], [1, 2, 0, 1], [1, 0, 2, 1]], 'adelic_image': '14.2.0.?', 'conductor': 198450, 'lmfdb_label': '198450.h1', 'prime': 0}
• lmfdb_iso 198450.h does not appear in ec_padic