Elliptic curve data - 5610.t4

Formats: - HTML - YAML - JSON - 2023-12-01T15:45:16.476173

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5610r', 'Clabel': '5610r3', 'Cnumber': 3, 'absD': 8246033269590589440, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2040, 'ainvs': [1, 0, 1, 367927, -108178804], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 5610, 'degree': 138240, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3150872706821423868470586330', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5508208700580085578359, 8246033269590589440], 'lmfdb_iso': '5610.t', 'lmfdb_label': '5610.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 367927, -108178804], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '30.48.0-30.b.1.3', '136.6.0.?', '408.48.0.?', '2040.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3150872706821423868470586330', 'prec': 100}, '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, -1, 1, 1, 1, -1, 2, -1, 1, -1, -1, 1, -4, -2, 1, 1, 1, -1, 8, 1], 'aplist': [-1, 1, 1, 2, -1, -4, 1, 8, 0, 6, 8, 2, 0, -10, 0, -6, -6, 2, 2, -6, 8, 8, 0, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 5610, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '5610.t', 'trace_hash': 1879864294060069886}
• 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': '0.0097530566419601108845850311600', 'prec': 110}, 'conductor': 5610, 'gens': [], 'heights': [], 'lmfdb_label': '5610.t4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12331813896624041911470734700', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2197265013923275440647322460054830609', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[251, -126, 1]], 'xcoord_integral_points': [251]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [7, 1], '5': [1, 0], '11': [0, 0], '17': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '5610.t4'}
• ec_torsion_growth •

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

  
  
  • id: 292108
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '5610.t4', 'torsion': [6]}
  • id: 292107
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '5610.t4', 'torsion': [2, 2]}
  • id: 292109
    {'degree': 3, 'field': [-3825, 0, 0, 1], 'lmfdb_label': '5610.t4', 'torsion': [6]}
  • id: 292110
    {'degree': 4, 'field': [-25, 6, -5, -2, 1], 'lmfdb_label': '5610.t4', 'torsion': [4]}
  • id: 292111
    {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '5610.t4', 'torsion': [2, 6]}
  • id: 292113
    {'degree': 6, 'field': [4335, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '5610.t4', 'torsion': [2, 6]}
  • id: 292112
    {'degree': 6, 'field': [541875, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '5610.t4', 'torsion': [3, 6]}
  • id: 292114
    {'degree': 8, 'field': [225, 0, 2070, 0, 31, 0, 2, 0, 1], 'lmfdb_label': '5610.t4', 'torsion': [2, 4]}
  • id: 292116
    {'degree': 8, 'field': [625, -150, -89, -130, 62, -2, 9, -2, 1], 'lmfdb_label': '5610.t4', 'torsion': [12]}
  • id: 292115
    {'degree': 8, 'field': [35016, -10476, -237, 210, 46, -80, 12, -2, 1], 'lmfdb_label': '5610.t4', 'torsion': [2, 4]}
  • id: 292117
    {'degree': 12, 'field': [18800896, -26016, -65004, 173350, -64935, -26136, 8811, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '5610.t4', 'torsion': [6, 6]}
  • id: 292118
    {'degree': 12, 'field': [1108746815, -405989550, 31065285, 5137686, -3303540, 132474, 25273, -24438, -132, 70, -3, -6, 1], 'lmfdb_label': '5610.t4', 'torsion': [12]}
  • id: 292120
    {'degree': 16, 'field': [48400, -123200, 224280, -162240, 58416, 57552, -30218, -3356, 10791, -1770, 333, -210, 176, -34, -3, -2, 1], 'lmfdb_label': '5610.t4', 'torsion': [2, 12]}
  • id: 292121
    {'degree': 16, 'field': [1054690576, -494544528, 192262368, -53907120, 13727620, 475608, -173496, 191490, -88371, 35940, -6924, 306, 85, 0, 12, -6, 1], 'lmfdb_label': '5610.t4', 'torsion': [2, 12]}
  • id: 292119
    {'degree': 16, 'field': [38329088625, -30401778600, 34103971080, -7355729880, 3535735410, 227233080, -168105332, 74952800, -13448845, -3558760, 740748, -11344, -1810, 1680, -220, -8, 1], 'lmfdb_label': '5610.t4', 'torsion': [8]}
  • id: 292122
    {'degree': 18, 'field': [7423433916046875, 0, 0, -60277940910000, 0, 0, 137157427575, 0, 0, -54798480, 0, 0, 12169, 0, 0, -352, 0, 0, 1], 'lmfdb_label': '5610.t4', 'torsion': [18]}
• 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: 110068
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 30, 'j_denominator_valuation': 30, 'kodaira_symbol': 34, 'lmfdb_label': '5610.t4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 110069
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5610.t4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 110070
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5610.t4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 110071
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '5610.t4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 110072
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5610.t4', 'prime': 17, '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: 1700615
    {'adelic_gens': [[435, 88, 398, 77], [1021, 12, 6, 73], [11, 2, 1990, 2031], [1, 0, 12, 1], [350, 3, 1333, 2032], [1, 6, 6, 37], [10, 3, 381, 2032], [1, 12, 0, 1], [241, 12, 1446, 73], [2029, 12, 2028, 13]], 'adelic_image': '2040.96.1.?', 'conductor': 5610, 'lmfdb_label': '5610.t4', 'prime': 0}
  • id: 27688
    {'conductor': 5610, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5610.t4', 'modell_image': '2B', 'prime': 2}
  • id: 27689
    {'conductor': 5610, 'elladic_image': '3.8.0.2', 'lmfdb_label': '5610.t4', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 5610.t does not appear in ec_padic