Elliptic curve data - 4560.l3

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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': '4560c', 'Clabel': '4560c1', 'Cnumber': 1, 'abc_quality': 0.961553219706106, 'absD': 844480080, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, -1, 0, -255, -630], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 2560, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40769452965272424804635202922', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [115060504576, 52780005], 'lmfdb_iso': '4560.l', 'lmfdb_label': '4560.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -255, 630], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '10.6.0.a.1', '20.24.0-20.g.1.1', '152.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17664546946607581157394132207', 'prec': 103}, 'szpiro_ratio': 3.3520535955558013, '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, -4, 0, 1, 0, 4, 0, 2, 0, -1, 0, -6, 0, -1, 0], 'aplist': [0, -1, 1, -4, 4, 2, -6, -1, -4, 6, -8, 10, 2, 0, 4, 2, 12, -2, -4, 0, -14, -8, 0, 2, -18], '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.l', 'trace_hash': 1977025163209578751}
• 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': '0.44246714790826478390554394131', 'prec': 103}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.l3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2476229611010042177655205206', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2476229611010042177655205206465750645', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-14, 0, 1]], 'xcoord_integral_points': [-14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '4560.l3'}
• ec_torsion_growth •

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

  
  
  • id: 237360
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '4560.l3', 'torsion': [2, 2]}
  • id: 237362
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [4]}
  • id: 237361
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [4]}
  • id: 237363
    {'degree': 4, 'field': [-5, 0, 0, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [2, 4]}
  • id: 237364
    {'degree': 4, 'field': [1, 0, 3, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [2, 4]}
  • id: 237368
    {'degree': 8, 'field': [-588, 0, 628, 0, 84, 0, 0, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [6]}
  • id: 237366
    {'degree': 8, 'field': [1, 0, -11, 0, 56, 0, -11, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [8]}
  • id: 237365
    {'degree': 8, 'field': [1, 2, 2, -10, 11, -10, 8, -4, 1], 'lmfdb_label': '4560.l3', 'torsion': [4, 4]}
  • id: 237367
    {'degree': 8, 'field': [137, -226, 330, -226, 159, -58, 24, -4, 1], 'lmfdb_label': '4560.l3', 'torsion': [8]}
  • id: 237372
    {'degree': 16, 'field': [-563839, 2675392, -2598896, -186640, 201590, -199416, 188104, -116488, 45755, -13120, 4560, -952, 98, 0, 20, -8, 1], 'lmfdb_label': '4560.l3', 'torsion': [2, 6]}
  • id: 237369
    {'degree': 16, 'field': [-269, -3456, 6148, -3372, -53244, 41264, -30340, 21204, -9461, 2928, -260, 12, -164, 56, 12, -8, 1], 'lmfdb_label': '4560.l3', 'torsion': [2, 8]}
  • id: 237371
    {'degree': 16, 'field': [36, 144, -32, -128, 406, -584, 1628, -2666, 3107, -2394, 1496, -706, 305, -88, 28, -4, 1], 'lmfdb_label': '4560.l3', 'torsion': [2, 8]}
  • id: 237370
    {'degree': 16, 'field': [6400, 0, 2800, 0, -215, 0, 405, 0, 126, 0, -111, 0, 46, 0, -11, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [2, 8]}
  • id: 237374
    {'degree': 16, 'field': [885481, 974876, 536648, 156144, -118444, -2876, 82384, -19272, 1150, -2508, 4168, -1696, 404, -84, 32, -8, 1], 'lmfdb_label': '4560.l3', 'torsion': [12]}
  • id: 237373
    {'degree': 16, 'field': [1006009, 0, 20955232, 0, 674020, 0, -441336, 0, -103410, 0, 6576, 0, 868, 0, 40, 0, 1], 'lmfdb_label': '4560.l3', 'torsion': [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: 86824
    {'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4560.l3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 86825
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4560.l3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 86826
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.l3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 86827
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4560.l3', '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: 1693674
    {'adelic_gens': [[99, 98, 298, 675], [308, 1, 631, 6], [1, 0, 8, 1], [753, 8, 752, 9], [7, 6, 754, 755], [1, 8, 0, 1], [1, 4, 4, 17], [471, 472, 82, 465], [401, 8, 84, 33]], 'adelic_image': '760.48.0.?', 'conductor': 4560, 'lmfdb_label': '4560.l3', 'prime': 0}
  • id: 22657
    {'conductor': 4560, 'elladic_image': '4.12.0.8', 'lmfdb_label': '4560.l3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 4560.l does not appear in ec_padic