Elliptic curve data - 152880.j2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '152880dx', 'Clabel': '152880dx1', 'Cnumber': 1, 'abc_quality': 0.9749427615320946, 'absD': 4910226899760, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1820, 'ainvs': [0, -1, 0, 3659, 62896], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 152880, 'degree': 301056, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1225343794677569328062177364', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [8388608, 7605], 'lmfdb_iso': '152880.j', 'lmfdb_label': '152880.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 75, 162], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '70.6.0.a.1', '260.6.0.?', '364.6.0.?', '1820.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 35], [3, 4, 50960], [5, 6, 30576], [7, 20, 3120], [13, 14, 11760]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56794729251037648249520752834', 'prec': 107}, 'szpiro_ratio': 3.0348433646318, '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, -1, 0, -1, 0, 0, 0, 1, 0, -4, 0, 1, 0, 1, 0, -6, 0, 2, 0], 'aplist': [0, -1, -1, 0, -4, 1, -6, 2, 2, 2, -10, 8, -6, 2, 8, -6, 14, -4, -4, 0, 10, 8, 16, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 152880, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '152880.j', 'trace_hash': 967304293234334306}
• 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': '0.10592025715902359995219774333', 'prec': 103}, 'conductor': 152880, 'gens': [], 'heights': [], 'lmfdb_label': '152880.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50214279898884769649969153373', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0042855979776953929993830674558509462', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-16, 0, 1]], 'xcoord_integral_points': [-16]}
• lmfdb_label 152880.j2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6863539
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '152880.j2', 'torsion': [2, 2]}
  • id: 6863540
    {'degree': 4, 'field': [1278, -256, -16, -2, 1], 'lmfdb_label': '152880.j2', 'torsion': [4]}
  • id: 6863543
    {'degree': 8, 'field': [-2803030, -95776, 179048, -34954, 8252, 1418, -89, -2, 1], 'lmfdb_label': '152880.j2', 'torsion': [6]}
  • id: 6863542
    {'degree': 8, 'field': [47349, -30726, 34078, -6826, 3719, -370, 128, -4, 1], 'lmfdb_label': '152880.j2', 'torsion': [2, 4]}
  • id: 6863541
    {'degree': 8, 'field': [49716, 171792, 148200, -2328, -806, 488, 20, -2, 1], 'lmfdb_label': '152880.j2', 'torsion': [2, 4]}
  • id: 6863545
    {'degree': 16, 'field': [547674002500, 0, 238068670000, 0, 18299372725, 0, 524574750, 0, 47002875, 0, 2159220, 0, -6425, 0, 70, 0, 1], 'lmfdb_label': '152880.j2', 'torsion': [2, 6]}
  • id: 6863544
    {'degree': 16, 'field': [14193378108100, 0, 1738600812000, 0, 38876182120, 0, -1975017200, 0, -81849984, 0, -80912, 0, 27004, 0, 312, 0, 1], 'lmfdb_label': '152880.j2', 'torsion': [8]}
• 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: 3780731
    {'conductor': 152880, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '152880.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3780732
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '152880.j2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3780733
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '152880.j2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3780734
    {'conductor': 152880, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '152880.j2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3780735
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '152880.j2', 'prime': 13, 'reduction_type': 1, '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: 2655057
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [264, 1, 1299, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1094, 1, 363, 0], [1369, 456, 1364, 455], [1817, 4, 1816, 5], [561, 4, 1122, 9]], 'adelic_image': '1820.12.0.?', 'conductor': 152880, 'lmfdb_label': '152880.j2', 'prime': 0}
  • id: 585633
    {'conductor': 152880, 'elladic_image': '2.3.0.1', 'lmfdb_label': '152880.j2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 152880.j does not appear in ec_padic