Elliptic curve data - 192960.bv1

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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': '192960et', 'Clabel': '192960et2', 'Cnumber': 2, 'abc_quality': 1.0164296196108535, 'absD': 17759754387000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1608, 'ainvs': [0, 0, 0, -108048, 15099122], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 67], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 192960, 'degree': 1658880, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8517780277795905462979101267', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 47, 'isogeny_degrees': [1, 3], 'jinv': [-2989967081734144, 380653171875], 'lmfdb_iso': '192960.bv', 'lmfdb_label': '192960.bv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -3001, -70904], 'min_quad_twist_disc': -24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '134.2.0.?', '402.8.0.?', '1608.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95589829316556304589167144751', 'prec': 103}, 'szpiro_ratio': 3.8276522701941698, '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, 0, 0, 0, -1, 0, 2, 0, 0, 0, -6, 0, -2, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, -1, 2, -6, -2, 3, 1, 9, 3, -4, 7, -6, 10, -9, -12, -15, -8, -1, 12, 11, -4, -12, -15, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 192960, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '192960.bv', 'trace_hash': 2094854319963164186}
• 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': '0.024635764372523068058737175139', 'prec': 107}, 'conductor': 192960, 'gens': [], 'heights': [], 'lmfdb_label': '192960.bv1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.37688520413427932755434154417', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5075408165371173102173661766838759845', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 192960.bv1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8490583
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '192960.bv1', 'torsion': [3]}
  • id: 8490584
    {'degree': 3, 'field': [5, -3, -1, 1], 'lmfdb_label': '192960.bv1', 'torsion': [2]}
  • id: 8490587
    {'degree': 6, 'field': [-2, 0, 8, 0, 2, 0, 1], 'lmfdb_label': '192960.bv1', 'torsion': [6]}
  • id: 8490585
    {'degree': 6, 'field': [9, -27, 34, -23, 8, -1, 1], 'lmfdb_label': '192960.bv1', 'torsion': [2, 2]}
  • id: 8490586
    {'degree': 6, 'field': [24, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '192960.bv1', 'torsion': [3]}
  • id: 8490589
    {'degree': 12, 'field': [121, 396, 564, 432, 6, -72, 62, -72, 24, 0, 6, 0, 1], 'lmfdb_label': '192960.bv1', 'torsion': [3, 3]}
  • id: 8490590
    {'degree': 12, 'field': [1503, -4236, 6070, -4600, 1963, -764, 704, -356, 5, 40, -2, -4, 1], 'lmfdb_label': '192960.bv1', 'torsion': [2, 6]}
  • id: 8490588
    {'degree': 12, 'field': [10908270, 3240648, -1331748, 1385316, -268998, -42600, 49678, -4708, -1144, 452, 2, -4, 1], 'lmfdb_label': '192960.bv1', 'torsion': [4]}
  • id: 8490591
    {'degree': 18, 'field': [-8231994694633, 27170651274510, 19046851409481, -5278552918760, -2886676783470, 286949028930, 58114462652, 1133211990, 1787865099, -322918630, -20509566, -3178470, -47402, 80730, 18801, -980, -204, 0, 1], 'lmfdb_label': '192960.bv1', 'torsion': [9]}
  • id: 8490592
    {'degree': 18, 'field': [216, 0, 0, 0, 0, 0, 5580, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '192960.bv1', 'torsion': [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: 4778344
    {'conductor': 192960, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '192960.bv1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4778345
    {'conductor': 192960, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '192960.bv1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4778346
    {'conductor': 192960, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '192960.bv1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4778347
    {'conductor': 192960, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '192960.bv1', 'prime': 67, '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: 2902356
    {'adelic_gens': [[1211, 1602, 1212, 1601], [4, 3, 9, 7], [337, 6, 207, 19], [803, 0, 0, 1607], [1270, 1539, 1397, 1601], [1, 6, 0, 1], [3, 4, 8, 11], [1603, 6, 1602, 7], [1205, 0, 0, 1607], [1, 0, 6, 1]], 'adelic_image': '1608.16.0.?', 'conductor': 192960, 'lmfdb_label': '192960.bv1', 'prime': 0}
  • id: 718574
    {'conductor': 192960, 'elladic_image': '3.4.0.1', 'lmfdb_label': '192960.bv1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 192960.bv does not appear in ec_padic