Elliptic curve data - 129360.hl2

Formats: - HTML - YAML - JSON - 2024-05-02T03:30:37.583089

• 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': '129360hz', 'Clabel': '129360hz2', 'Cnumber': 2, 'abc_quality': 0.9498230306219337, 'absD': 295858811001600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, 1, 0, -2095060, 1166495000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 129360, 'degree': 1990656, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1430696597396602688251912261', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 193, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [33766427105425744, 9823275], 'lmfdb_iso': '129360.hl', 'lmfdb_label': '129360.hl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -42756, 3388644], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '44.6.0.a.1', '60.24.0-6.a.1.12', '84.24.0.?', '132.24.0.?', '140.6.0.?', '420.48.0.?', '462.24.0.?', '660.48.0.?', '924.48.0.?', '1540.12.0.?', '4620.96.1.?'], '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': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70801646483870674332769344007', 'prec': 103}, 'szpiro_ratio': 4.696450033741643, '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, 0, 0, 1, 0, 1, 0, -2, 0, 1, 0, 6, 0, 8, 0], 'aplist': [0, 1, 1, 0, 1, -2, 6, 8, 6, 6, 2, 2, 0, -8, -12, 6, 6, -8, -2, 0, 10, -8, 12, -6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 129360, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '129360.hl', 'trace_hash': 2171036117532844042}
• 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': '0.013757937902017504037252801640', 'prec': 107}, 'conductor': 129360, 'gens': [], 'heights': [], 'lmfdb_label': '129360.hl2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.43854373138505138787988962742', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2625247766206166545586755290060130382', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[835, 0, 1]], 'xcoord_integral_points': [835]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [3, 0], '7': 'a', '11': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '129360.hl2'}
• ec_torsion_growth •

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

  
  
  • id: 5882181
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [2, 2]}
  • id: 5882182
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [6]}
  • id: 5882184
    {'degree': 4, 'field': [1, 0, -9, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [2, 6]}
  • id: 5882183
    {'degree': 4, 'field': [11, 0, 3, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [4]}
  • id: 5882185
    {'degree': 6, 'field': [317709, 0, -5117, 0, 7, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [6]}
  • id: 5882188
    {'degree': 8, 'field': [16, 0, 16, 0, 152, 0, 4, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [12]}
  • id: 5882187
    {'degree': 8, 'field': [27225, 0, -4730, 0, 691, 0, -38, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [2, 4]}
  • id: 5882186
    {'degree': 8, 'field': [15697444, 0, -163128, 0, -15280, 0, -12, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [2, 4]}
  • id: 5882190
    {'degree': 12, 'field': [4150194084, 0, -255844980, 0, 12994668, 0, -236655, 0, 4887, 0, 15, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [2, 6]}
  • id: 5882189
    {'degree': 12, 'field': [100939008681, 0, 1625716953, 0, 23959726, 0, 671237, 0, 5166, 0, -7, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [3, 6]}
  • id: 5882193
    {'degree': 16, 'field': [132496, 0, 27216, 0, 3208, 0, -15156, 0, 1833, 0, 738, 0, 307, 0, 18, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [2, 12]}
  • id: 5882192
    {'degree': 16, 'field': [46771921, 0, -13779920, 0, -9403246, 0, 1548756, 0, 531923, 0, 18084, 0, -1498, 0, -44, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [2, 12]}
  • id: 5882191
    {'degree': 16, 'field': [9190098225, 0, 7215000100, 0, 1847668130, 0, 184763040, 0, 11375211, 0, 447744, 0, 11346, 0, 164, 0, 1], 'lmfdb_label': '129360.hl2', 'torsion': [8]}
  • id: 5882194
    {'degree': 18, 'field': [2042501650581, 2953147093974, 1389156263271, 191025681700, -13319710593, 2285400642, 963819592, -386134212, 1767612, 38535754, 2643741, -1555092, -184421, 16212, 1725, 190, -30, -6, 1], 'lmfdb_label': '129360.hl2', '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: 3190250
    {'conductor': 129360, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '129360.hl2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3190251
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '129360.hl2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3190252
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '129360.hl2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3190253
    {'conductor': 129360, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '129360.hl2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3190254
    {'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '129360.hl2', 'prime': 11, 'reduction_type': 1, '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: 2506816
    {'adelic_gens': [[4609, 12, 4608, 13], [3959, 4608, 654, 4547], [1, 0, 12, 1], [2694, 4223, 2695, 4234], [1, 6, 6, 37], [3697, 12, 3702, 73], [11, 2, 4570, 4611], [1, 12, 0, 1], [2110, 3, 1233, 4612], [3089, 2, 3138, 13]], 'adelic_image': '4620.96.1.?', 'conductor': 129360, 'lmfdb_label': '129360.hl2', 'prime': 0}
  • id: 503910
    {'conductor': 129360, 'elladic_image': '2.3.0.1', 'lmfdb_label': '129360.hl2', 'modell_image': '2B', 'prime': 2}
  • id: 503911
    {'conductor': 129360, 'elladic_image': '3.4.0.1', 'lmfdb_label': '129360.hl2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 129360.hl does not appear in ec_padic