Elliptic curve data - 15059.e3

Formats: - HTML - YAML - JSON - 2024-04-27T07:15:48.056198

• 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': '15059e', 'Clabel': '15059e1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 28222990499, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 20350, 'ainvs': [0, -1, 1, -456, 9063], 'analytic_rank': 0, 'bad_primes': [11, 37], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 15059, 'degree': 10332, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.69273015898665897019465390744', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '15059.e', 'lmfdb_label': '15059.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': 37, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '110.24.1.?', '185.24.0.?', '275.300.12.?', '550.600.37.?', '925.120.0.?', '4070.48.1.?', '10175.600.12.?', '20350.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 3.2966897093272247, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 2, -1, 2, -1, -2, -2, 0, -2, -2, 1, -2, -4, -4, 1, -4, 2, -4, 0, -2], 'aplist': [2, -1, -1, -2, 1, -4, 2, 0, 1, 0, -7, 0, -8, 6, 8, -6, -5, -12, -7, -3, 4, 10, -6, -15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 15059, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '15059.e', 'trace_hash': 1295820974580651759}
• 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': '0.25020859776431882671729820430', 'prec': 103}, 'conductor': 15059, 'gens': [], 'heights': [], 'lmfdb_label': '15059.e3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0432836215104782976458977361', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0432836215104782976458977361099651426', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 1, 0], '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [1, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': [2, 0], '29': [0, 0, 0], '31': [0, 0], '37': 'a', '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '15059.e3'}
• ec_torsion_growth •

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

  
  
  • id: 774800
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '15059.e3', 'torsion': [5]}
  • id: 774801
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '15059.e3', 'torsion': [2]}
  • id: 774803
    {'degree': 6, 'field': [-889, -157, 254, 15, -26, -1, 1], 'lmfdb_label': '15059.e3', 'torsion': [10]}
  • id: 774802
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '15059.e3', 'torsion': [2, 2]}
  • id: 774804
    {'degree': 8, 'field': [-6317, 24460, 18277, 2271, -429, -78, -2, -2, 1], 'lmfdb_label': '15059.e3', 'torsion': [3]}
  • id: 774805
    {'degree': 10, 'field': [-19207, -15269, 19901, 9567, -6756, -1804, 910, 128, -51, -3, 1], 'lmfdb_label': '15059.e3', 'torsion': [25]}
  • id: 774806
    {'degree': 12, 'field': [-115229162, -10316088, -6129644, 2798284, 1018252, -122084, -11404, 8940, -2854, -78, 6, -2, 1], 'lmfdb_label': '15059.e3', 'torsion': [4]}
  • id: 774807
    {'degree': 12, 'field': [849484, 218068, -425628, -119816, 93646, 26246, -11743, -2948, 933, 170, -45, -4, 1], 'lmfdb_label': '15059.e3', 'torsion': [2, 10]}
  • id: 774808
    {'degree': 16, 'field': [56595529, 0, -46140944, 0, 16935160, 0, -3670779, 0, 504264, 0, -44229, 0, 2401, 0, -74, 0, 1], 'lmfdb_label': '15059.e3', 'torsion': [15]}
  • id: 774809
    {'degree': 20, 'field': [5877266981695, -1826777006995, 4871740803865, -384242757395, 1460979589176, -50271848657, 229724145570, -5828734340, 22165343255, -537379536, 1393123182, -34734515, 57896355, -1461680, 1568807, -37359, 26460, -520, 250, -3, 1], 'lmfdb_label': '15059.e3', 'torsion': [5]}
• 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: 332732
    {'conductor': 15059, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '15059.e3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 332733
    {'conductor': 15059, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '15059.e3', 'prime': 37, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1764268
    {'adelic_gens': [[16466, 555, 3885, 186], [38, 41, 17791, 17589], [1, 0, 50, 1], [20301, 50, 20300, 51], [1, 50, 0, 1], [14616, 19795, 17427, 19537], [8249, 0, 0, 20349]], 'adelic_image': '20350.1200.37.?', 'conductor': 15059, 'lmfdb_label': '15059.e3', 'prime': 0}
  • id: 71183
    {'conductor': 15059, 'elladic_image': '25.60.0.1', 'lmfdb_label': '15059.e3', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 15059.e does not appear in ec_padic