Elliptic curve data - 432960.y2

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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': '432960y', 'Clabel': '432960y2', 'Cnumber': 2, 'abc_quality': 0.8741086831003705, 'absD': 749817446400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 54120, 'ainvs': [0, -1, 0, -36081, 2649681], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 432960, 'degree': 983040, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2937840910420749413468653368', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [317067338047696, 45765225], 'lmfdb_iso': '432960.y', 'lmfdb_label': '432960.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9020, -326700], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '164.12.0.?', '328.24.0.?', '660.12.0.?', '1320.24.0.?', '27060.24.0.?', '54120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5740732506166960821648989801', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 144320], [5, 6, 86592], [11, 12, 39360], [41, 42, 10560]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48511238038880541369342786177', 'prec': 103}, 'szpiro_ratio': 3.3204550442353176, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 2, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, -1, -1, 0, -1, 2, 6, -4, -8, 2, -8, 2, 1, -4, 0, 2, 8, 10, -4, 0, 10, 0, 0, 14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 432960, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '432960.y', 'trace_hash': 546560782825148680}
• 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': '0.075202697167220848457704699457', 'prec': 107}, 'conductor': 432960, 'gens': [[45, 1056, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5740732506166960821648989801', 'prec': 100}], 'lmfdb_label': '432960.y2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.86838184779369384048723717137', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4675865517326107054328544584475561458', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[109, 0, 1], [111, 0, 1]], 'xcoord_integral_points': [-219, 45, 101, 109, 111, 191]}
• lmfdb_label 432960.y2 does not appear in ec_iwasawa
• lmfdb_label 432960.y2 does not appear in ec_torsion_growth
• 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: 10692555
    {'conductor': 432960, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '432960.y2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10692556
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '432960.y2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10692557
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '432960.y2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10692558
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '432960.y2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10692559
    {'conductor': 432960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '432960.y2', 'prime': 41, '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: 4336071
    {'adelic_gens': [[27063, 54116, 27064, 54115], [1, 4, 0, 1], [54117, 4, 54116, 5], [37883, 54116, 48706, 54111], [13533, 2, 27052, 27055], [44877, 54118, 42242, 27061], [1, 0, 4, 1], [27059, 0, 0, 54119], [18041, 4, 9022, 9], [19681, 4, 12302, 9]], 'adelic_image': '54120.48.0.?', 'conductor': 432960, 'lmfdb_label': '432960.y2', 'prime': 0}
  • id: 1455803
    {'conductor': 432960, 'elladic_image': '8.12.0.1', 'lmfdb_label': '432960.y2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 432960.y does not appear in ec_padic