Elliptic curve data - 337896.bh1

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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': '337896bh', 'Clabel': '337896bh1', 'Cnumber': 1, 'abc_quality': 0.9964636873996318, 'absD': 152066033560862420688, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -4819350, -4028763971], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 337896, 'degree': 12902400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6828437006664500906990525294', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [22559008000000, 277116957], 'lmfdb_iso': '337896.bh', 'lmfdb_label': '337896.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1483, -21260], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '28.124305027300509053865659680', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 42237], [3, 8, 37544], [13, 14, 25992], [19, 200, 936]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43026900656252657852450548784', 'prec': 103}, 'szpiro_ratio': 4.538555570926908, '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, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 1, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 0, 4, 6, 1, -2, 0, 0, -2, -8, 2, -4, -4, -6, 2, 10, 10, -8, 2, 14, 8, -10, 0, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 337896, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '337896.bh', 'trace_hash': 627710790906747330}
• 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': '0.0046742460529994819283373169662', 'prec': 110}, 'conductor': 337896, 'gens': [[43962506381194, 291489599755214690003, 5775]], 'heights': [{'__RealLiteral__': 0, 'data': '28.124305027300509053865659680', 'prec': 100}], 'lmfdb_label': '337896.bh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10197061793757451039457905610', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.471411050794665075183362731002936495', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1159, 0, 1]], 'xcoord_integral_points': [-1159]}
• lmfdb_label 337896.bh1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14143008
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '337896.bh1', 'torsion': [2, 2]}
  • id: 14143009
    {'degree': 4, 'field': [291, -24, 34, -1, 1], 'lmfdb_label': '337896.bh1', 'torsion': [4]}
  • id: 14143012
    {'degree': 8, 'field': [-350892, 0, -231876, 0, 2052, 0, 0, 0, 1], 'lmfdb_label': '337896.bh1', 'torsion': [6]}
  • id: 14143010
    {'degree': 8, 'field': [6241, -2686, 682, -362, 149, -62, 7, -1, 1], 'lmfdb_label': '337896.bh1', 'torsion': [2, 4]}
  • id: 14143011
    {'degree': 8, 'field': [210681, 0, -55974, 0, -6485, 0, 38, 0, 1], 'lmfdb_label': '337896.bh1', 'torsion': [2, 4]}
  • id: 14143013
    {'degree': 16, 'field': [1899669, 7589658, 15557205, 20285580, 18132538, 11039780, 4169039, 615042, -215843, -119048, -11309, 5416, 1510, 6, -43, -4, 1], 'lmfdb_label': '337896.bh1', 'torsion': [8]}
  • id: 14143014
    {'degree': 16, 'field': [1124015083425, 179204341680, -124576726248, -108240425280, 51565840326, 3114282600, -1121113512, 73731624, -21617501, 2075536, -367904, -25352, 3922, 112, 4, -8, 1], 'lmfdb_label': '337896.bh1', 'torsion': [2, 6]}
• 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: 8362764
    {'conductor': 337896, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '337896.bh1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8362765
    {'conductor': 337896, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '337896.bh1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8362766
    {'conductor': 337896, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '337896.bh1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8362767
    {'conductor': 337896, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '337896.bh1', 'prime': 19, '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

  
  
  • id: 3776554
    {'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 337896, 'lmfdb_label': '337896.bh1', 'prime': 0}
  • id: 1173557
    {'conductor': 337896, 'elladic_image': '2.3.0.1', 'lmfdb_label': '337896.bh1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 337896.bh does not appear in ec_padic