Elliptic curve data - 154560.cy2

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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': '154560hc', 'Clabel': '154560hc2', 'Cnumber': 2, 'abc_quality': 0.8409861767729798, 'absD': 687997255680, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3220, 'ainvs': [0, -1, 0, -1505, 46305], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 154560, 'degree': 262144, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96151566948206017474169012266', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2], 'jinv': [-5756278756, 10498005], 'lmfdb_iso': '154560.cy', 'lmfdb_label': '154560.cy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -376, 5600], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '644.6.0.?', '3220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3162405499199945294658933665', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.037319428735466428852047294049', 'prec': 107}, 'szpiro_ratio': 2.928220445804176, '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, -1, 0, 1, 0, 6, 0, 4, 0, -1, 0, 2, 0, -4, 0], 'aplist': [0, -1, 1, -1, 6, 4, 2, -4, 1, -2, -2, -12, 6, 4, -4, -12, -10, 10, 8, -12, -4, 6, -4, -6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 154560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '154560.cy', 'trace_hash': 373155054966033694}
• 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': '0.14616321964037938051678600015', 'prec': 103}, 'conductor': 154560, 'gens': [[-13, 252, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3162405499199945294658933665', 'prec': 100}], 'lmfdb_label': '154560.cy2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.80904196962685159667087442921', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4957432665474170143179507500310512665', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-49, 0, 1]], 'xcoord_integral_points': [-49, -13, 112]}
• lmfdb_label 154560.cy2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6934962
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '154560.cy2', 'torsion': [2, 2]}
  • id: 6934963
    {'degree': 4, 'field': [-500, 0, -24, 0, 1], 'lmfdb_label': '154560.cy2', 'torsion': [4]}
  • id: 6934966
    {'degree': 8, 'field': [-46875, 0, -46250, 0, 750, 0, 0, 0, 1], 'lmfdb_label': '154560.cy2', 'torsion': [6]}
  • id: 6934964
    {'degree': 8, 'field': [6561, 0, -1134, 900, 216, -100, -14, 0, 1], 'lmfdb_label': '154560.cy2', 'torsion': [2, 4]}
  • id: 6934965
    {'degree': 8, 'field': [42436, 0, 12444, 0, 1181, 0, 24, 0, 1], 'lmfdb_label': '154560.cy2', 'torsion': [2, 4]}
  • id: 6934968
    {'degree': 16, 'field': [302500, 0, 8131000, 0, 1210900, 0, -232800, 0, -29100, 0, 7140, 0, 760, 0, 40, 0, 1], 'lmfdb_label': '154560.cy2', 'torsion': [2, 6]}
  • id: 6934967
    {'degree': 16, 'field': [10265616, 0, -49504392, 0, -46165248, 0, 115802862, 0, 10523749, 0, -7308, 0, 2207, 0, -42, 0, 1], 'lmfdb_label': '154560.cy2', '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: 3823247
    {'conductor': 154560, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '154560.cy2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3823248
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '154560.cy2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3823249
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '154560.cy2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3823250
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154560.cy2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3823251
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154560.cy2', 'prime': 23, '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: 2664913
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [281, 4, 562, 9], [1, 4, 0, 1], [1934, 1, 643, 0], [3217, 4, 3216, 5], [2761, 4, 2302, 9], [2416, 809, 805, 2416]], 'adelic_image': '3220.12.0.?', 'conductor': 154560, 'lmfdb_label': '154560.cy2', 'prime': 0}
  • id: 590872
    {'conductor': 154560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '154560.cy2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 154560.cy does not appear in ec_padic