Elliptic curve data - 4560.s2

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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': '4560x', 'Clabel': '4560x2', 'Cnumber': 2, 'abc_quality': 0.9634984608386168, 'absD': 33269760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 1, 0, -816, 1620], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 3072, 'elladic_images': ['8.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70949113953152658956905352008', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [14688124849, 8122500], 'lmfdb_iso': '4560.s', 'lmfdb_label': '4560.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -51, -51], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.b.1.1', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.016343958971581280151821398622', 'prec': 107}, 'szpiro_ratio': 3.765908363663833, '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, -4, 0, 2, 0, -1, 0, 2, 0, 1, 0], 'aplist': [0, 1, -1, 0, -4, 2, 2, 1, -4, 6, -4, -6, 10, 4, 12, 6, 12, -2, -4, -8, -6, 4, 12, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '4560.s', 'trace_hash': 782912210750216713}
• 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': '0.24196013953362265034589838345', 'prec': 103}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.s2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0118984954368994955169553568', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0237969908737989910339107136608114039', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2, 0, 1], [27, 0, 1]], 'xcoord_integral_points': [-30, 2, 27]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '4560.s2'}
• ec_torsion_growth •

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

  
  
  • id: 238149
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 4]}
  • id: 238150
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 4]}
  • id: 238151
    {'degree': 4, 'field': [841, 0, -56, 0, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 4]}
  • id: 238153
    {'degree': 8, 'field': [-1884, 3252, 6840, 2502, -401, -212, 0, -2, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 8]}
  • id: 238154
    {'degree': 8, 'field': [-48, 0, 164, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 6]}
  • id: 238152
    {'degree': 8, 'field': [38416, 0, 0, 0, 449, 0, 0, 0, 1], 'lmfdb_label': '4560.s2', 'torsion': [4, 4]}
  • id: 238155
    {'degree': 16, 'field': [16, 0, 224, 0, 928, 0, 616, 0, 1073, 0, -308, 0, 232, 0, -28, 0, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 8]}
  • id: 238156
    {'degree': 16, 'field': [207936, 0, 415872, 0, 253536, 0, 89376, 0, 16180, 0, 1136, 0, 156, 0, 32, 0, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 8]}
  • id: 238157
    {'degree': 16, 'field': [16522596, -36554328, 23944329, -7695918, 4060059, -2538684, 1149849, -457482, 136719, -31968, 5779, 318, -687, 244, -21, -6, 1], 'lmfdb_label': '4560.s2', 'torsion': [2, 12]}
• 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: 87100
    {'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '4560.s2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 87101
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.s2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 87102
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4560.s2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 87103
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.s2', 'prime': 19, '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: 1693699
    {'adelic_gens': [[1, 0, 4, 1], [97, 2, 0, 1], [339, 452, 226, 453], [1, 4, 0, 1], [305, 2, 0, 1], [453, 4, 452, 5], [229, 4, 2, 9]], 'adelic_image': '456.48.0.?', 'conductor': 4560, 'lmfdb_label': '4560.s2', 'prime': 0}
  • id: 22690
    {'conductor': 4560, 'elladic_image': '8.24.0.3', 'lmfdb_label': '4560.s2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 4560.s does not appear in ec_padic