Elliptic curve data - 5160.l1

Formats: - HTML - YAML - JSON - 2024-05-24T12:38:34.584085

• 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': '5160d', 'Clabel': '5160d3', 'Cnumber': 3, 'abc_quality': 0.9907686568923021, 'absD': 42535354521600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [0, 1, 0, -259816, 50886320], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5160, 'degree': 40960, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7308382551586254911876295870', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [947094050118111698, 20769216075], 'lmfdb_iso': '5160.l', 'lmfdb_label': '5160.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -259816, 50886320], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '12.12.0-4.c.1.1', '24.24.0-24.s.1.4', '344.24.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0954533396453422908885001423', 'prec': 100}, 'szpiro_ratio': 5.733835608365486, '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, 0, 0, 6, 0, -1, 0, -6, 0, -4, 0], 'aplist': [0, 1, -1, 4, 0, 6, -6, -4, 0, 2, 8, 10, -6, -1, 8, -6, 0, 10, -4, 8, -6, 0, 16, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 5160, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '5160.l', 'trace_hash': 86055738304746668}
• 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': '0.031377113843011217528157109375', 'prec': 107}, 'conductor': 5160, 'gens': [], 'heights': [], 'lmfdb_label': '5160.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.59352562090267716398572381920', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9676281045133858199286190959869018974', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[295, 0, 1]], 'xcoord_integral_points': [295]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [4, 0], '43': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '5160.l1'}
• ec_torsion_growth •

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

  
  
  • id: 269240
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [2, 2]}
  • id: 269241
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [4]}
  • id: 269242
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [4]}
  • id: 269243
    {'degree': 4, 'field': [1, 0, -4, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [2, 4]}
  • id: 269247
    {'degree': 8, 'field': [-412923, 0, 5336, 0, 2226, 0, 0, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [6]}
  • id: 269245
    {'degree': 8, 'field': [1, 0, -19, 0, 60, 0, -19, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [8]}
  • id: 269244
    {'degree': 8, 'field': [22500, 0, 0, 0, 150, 0, 0, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [2, 4]}
  • id: 269246
    {'degree': 8, 'field': [6502500, 0, -108000, 0, 5050, 0, 160, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [8]}
  • id: 269249
    {'degree': 16, 'field': [4, -384, 7368, -27024, 3172, 61752, -42204, -30240, 29997, 4596, -7884, -120, 961, -12, -54, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [2, 8]}
  • id: 269251
    {'degree': 16, 'field': [627264, 0, 749952, 0, 480960, 0, -359424, 0, 40320, 0, 24, 0, -180, 0, -12, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [2, 6]}
  • id: 269252
    {'degree': 16, 'field': [1050625, -717500, -696000, 2342000, 2165300, -233220, -1040552, -802088, -285642, -2852, 25936, 4416, -1708, -28, 24, -8, 1], 'lmfdb_label': '5160.l1', 'torsion': [12]}
  • id: 269248
    {'degree': 16, 'field': [31640625, 0, -25312500, 0, 10125000, 0, -2700000, 0, 444375, 0, -36000, 0, 1800, 0, -60, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [4, 4]}
  • id: 269253
    {'degree': 16, 'field': [641862225, 0, -121564152, 0, -29092500, 0, -600404, 0, 262022, 0, 2440, 0, 1120, 0, -4, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [12]}
  • id: 269250
    {'degree': 16, 'field': [109312890625, 0, -24631562500, 0, 1933625000, 0, -13500000, 0, 10514375, 0, -360000, 0, 3800, 0, 20, 0, 1], 'lmfdb_label': '5160.l1', 'torsion': [2, 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: 100176
    {'conductor': 5160, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '5160.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 100177
    {'conductor': 5160, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '5160.l1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 100178
    {'conductor': 5160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5160.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 100179
    {'conductor': 5160, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '5160.l1', 'prime': 43, '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: 1697621
    {'adelic_gens': [[1025, 8, 1024, 9], [1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 1026, 1027], [1, 4, 4, 17], [433, 8, 700, 33], [904, 395, 649, 678], [648, 137, 673, 720], [692, 1, 367, 6]], 'adelic_image': '1032.48.0.?', 'conductor': 5160, 'lmfdb_label': '5160.l1', 'prime': 0}
  • id: 25560
    {'conductor': 5160, 'elladic_image': '8.12.0.8', 'lmfdb_label': '5160.l1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 5160.l does not appear in ec_padic