Elliptic curve data - 19074.bd1

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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': '19074bh', 'Clabel': '19074bh3', 'Cnumber': 3, 'abc_quality': 1.0237597269657934, 'absD': 1593079554, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, 0, 0, -101734, -12498046], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19074, 'degree': 81920, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3216527711774371686385104999', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 4], 'jinv': [4824238966273, 66], 'lmfdb_iso': '19074.bd', 'lmfdb_label': '19074.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -352, -2689], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '136.24.0.?', '264.24.0.?', '2244.12.0.?', '4488.48.0.?'], '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': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809038', 'prec': 110}, 'szpiro_ratio': 4.687862463689923, '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, -2, 1, 4, 1, 1, -2, 1, 1, -6, 4, -2, 1, 0, 1, 4, -2], 'aplist': [1, 1, -2, 4, 1, -6, 0, 4, -4, -6, 0, -6, 6, 4, -12, 2, 12, 14, 4, 12, 6, 4, 4, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 19074, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '19074.bd', 'trace_hash': 302196641641993254}
• 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': '0.071125771296539136220045130838', 'prec': 107}, 'conductor': 19074, 'gens': [], 'heights': [], 'lmfdb_label': '19074.bd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26732095420342172441741595450', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2771352672547475906786552720413121739', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-737, 737, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 2], '3': [1, 0], '11': [1, 0], '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '19074.bd1'}
• ec_torsion_growth •

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

  
  
  • id: 974822
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [2, 2]}
  • id: 974823
    {'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [4]}
  • id: 974824
    {'degree': 2, 'field': [561, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [4]}
  • id: 974825
    {'degree': 4, 'field': [625, 0, -16, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [2, 4]}
  • id: 974826
    {'degree': 8, 'field': [-552416, -38016, 53792, 8448, 2100, -528, -100, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [2, 4]}
  • id: 974829
    {'degree': 8, 'field': [-16992, 7632, -1416, -336, -732, -10, 6, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [6]}
  • id: 974827
    {'degree': 8, 'field': [23750, -2600, 2972, -760, 421, -52, 22, -4, 1], 'lmfdb_label': '19074.bd1', 'torsion': [8]}
  • id: 974828
    {'degree': 8, 'field': [253146, -6750, 31443, -1110, 1525, -74, 45, -2, 1], 'lmfdb_label': '19074.bd1', 'torsion': [8]}
  • id: 974831
    {'degree': 16, 'field': [647938, -5023976, 15829380, -22881864, 14497602, -3323136, 515272, 540664, -170829, 15672, 4416, -3432, 26, 224, -12, -8, 1], 'lmfdb_label': '19074.bd1', 'torsion': [2, 8]}
  • id: 974834
    {'degree': 16, 'field': [32080896, 0, 17160192, 0, 9713664, 0, 2668192, 0, 383456, 0, 34312, 0, 2020, 0, 68, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [12]}
  • id: 974830
    {'degree': 16, 'field': [1192044676, -164067552, 11290752, -40966464, 81464476, -7581024, 975744, -2646336, 878973, 37752, 34848, -11088, 1450, -264, 0, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [4, 4]}
  • id: 974832
    {'degree': 16, 'field': [1295081650, -49345500, 456396038, -23671436, 70802015, -5181636, 6730466, -628572, 442729, -47412, 23026, -2260, 957, -76, 22, -4, 1], 'lmfdb_label': '19074.bd1', 'torsion': [2, 8]}
  • id: 974835
    {'degree': 16, 'field': [5311956681, 3380167584, 2042866230, 679379184, 218931340, 46417644, 32813166, 13438272, 4495350, 909216, 149686, 14544, 636, -300, -18, 0, 1], 'lmfdb_label': '19074.bd1', 'torsion': [12]}
  • id: 974833
    {'degree': 16, 'field': [18022811904, 9400499712, -18944019072, -6874807680, 3657003072, 495502848, -392844816, 21300960, 9873072, -802560, -185492, 6600, 4512, -20, -120, 0, 1], 'lmfdb_label': '19074.bd1', '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: 430271
    {'conductor': 19074, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19074.bd1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 430272
    {'conductor': 19074, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19074.bd1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 430273
    {'conductor': 19074, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19074.bd1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 430274
    {'conductor': 19074, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '19074.bd1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1791355
    {'adelic_gens': [[4064, 2907, 3893, 3962], [1, 0, 8, 1], [2296, 2907, 3349, 3962], [1752, 833, 1411, 4302], [1, 8, 0, 1], [7, 6, 4482, 4483], [1, 4, 4, 17], [2483, 1156, 3842, 1293], [3431, 0, 0, 4487], [4481, 8, 4480, 9]], 'adelic_image': '4488.48.0.?', 'conductor': 19074, 'lmfdb_label': '19074.bd1', 'prime': 0}
  • id: 88974
    {'conductor': 19074, 'elladic_image': '8.12.0.11', 'lmfdb_label': '19074.bd1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 19074.bd does not appear in ec_padic