Elliptic curve data - 106560.gg4

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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': '106560fy', 'Clabel': '106560fy3', 'Cnumber': 3, 'abc_quality': 0.9916071313465107, 'absD': 190315345543063142400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4440, 'ainvs': [0, 0, 0, 1331988, -300733616], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 106560, 'degree': 4644864, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5795964026884987640136386023', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 162, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1367594037332999, 995878502400], 'lmfdb_iso': '106560.gg', 'lmfdb_label': '106560.gg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 2312, -21562], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.6', '40.6.0.c.1', '60.24.0-6.a.1.12', '120.48.0.?', '222.24.0.?', '888.48.0.?', '2220.48.0.?', '4440.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99056948751452595419016780165', 'prec': 103}, 'szpiro_ratio': 4.65773959915153, '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, 0, 0, 1, 0, 4, 0, 0, 0, -6, 0, -2, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, 1, 4, -6, -2, 6, 2, 0, 6, -8, -1, 6, 8, 6, 6, 12, -8, -4, 0, 14, 16, 12, -6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 106560, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '106560.gg', 'trace_hash': 1508738463265268829}
• 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': '0.0057463362258107502688777519222', 'prec': 110}, 'conductor': 106560, 'gens': [], 'heights': [], 'lmfdb_label': '106560.gg4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10068173444425811478257118681', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6245424399932921321725627250174166177', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[218, 0, 1]], 'xcoord_integral_points': [218]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '37': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '106560.gg4'}
• ec_torsion_growth •

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

  
  
  • id: 4924030
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [6]}
  • id: 4924029
    {'degree': 2, 'field': [28, -1, 1], 'lmfdb_label': '106560.gg4', 'torsion': [2, 2]}
  • id: 4924031
    {'degree': 4, 'field': [-79, -80, -28, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [4]}
  • id: 4924032
    {'degree': 4, 'field': [678, -60, 61, -2, 1], 'lmfdb_label': '106560.gg4', 'torsion': [2, 6]}
  • id: 4924033
    {'degree': 6, 'field': [-600, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [6]}
  • id: 4924036
    {'degree': 8, 'field': [1929, -1020, -550, 92, 114, 20, -6, -4, 1], 'lmfdb_label': '106560.gg4', 'torsion': [12]}
  • id: 4924034
    {'degree': 8, 'field': [92806, -11620, 14790, -2320, 743, -20, 10, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [2, 4]}
  • id: 4924035
    {'degree': 8, 'field': [151120, -196448, 80608, -11720, 2851, -554, 19, -2, 1], 'lmfdb_label': '106560.gg4', 'torsion': [2, 4]}
  • id: 4924037
    {'degree': 12, 'field': [4489, 12060, 11604, 2160, 2346, 360, 94, -360, 24, 0, -6, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [3, 6]}
  • id: 4924038
    {'degree': 12, 'field': [28729600, 0, 18458400, 0, 3548400, 0, 147784, 0, 4308, 0, 102, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [2, 6]}
  • id: 4924039
    {'degree': 16, 'field': [-9376973775, -16445295000, -7542748800, 1055293200, 1572610680, 243387000, -102598320, -47392800, -6736674, 120, 145216, 33360, 4056, -280, -144, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [8]}
  • id: 4924041
    {'degree': 16, 'field': [9278116, 0, -8900420, 0, 2344969, 0, 79696, 0, 18328, 0, -1586, 0, 532, 0, -44, 0, 1], 'lmfdb_label': '106560.gg4', 'torsion': [2, 12]}
  • id: 4924040
    {'degree': 16, 'field': [35102134, -13284476, -19506134, 6211084, 2247635, -841316, -120582, 168532, 107669, 5228, 21078, -2236, 1913, -172, 70, -4, 1], 'lmfdb_label': '106560.gg4', 'torsion': [2, 12]}
  • id: 4924042
    {'degree': 18, 'field': [598127021448, 824145432192, 673330675836, 459394977200, 186846114582, 20297997672, -12173936663, -4489274040, -90774768, 216571280, 29427819, -4547904, -1080002, 45960, 19791, -184, -204, 0, 1], 'lmfdb_label': '106560.gg4', '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: 2619885
    {'conductor': 106560, 'conductor_valuation': 6, 'discriminant_valuation': 36, 'j_denominator_valuation': 18, 'kodaira_symbol': -30, 'lmfdb_label': '106560.gg4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2619886
    {'conductor': 106560, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '106560.gg4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2619887
    {'conductor': 106560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '106560.gg4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2619888
    {'conductor': 106560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '106560.gg4', 'prime': 37, '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: 2363268
    {'adelic_gens': [[4429, 12, 4428, 13], [1777, 12, 1782, 73], [4245, 3512, 4282, 3523], [730, 4437, 2987, 8], [1, 0, 12, 1], [1, 6, 6, 37], [4090, 3, 4053, 4432], [2219, 4428, 4434, 4367], [1, 12, 0, 1], [11, 2, 4390, 4431]], 'adelic_image': '4440.96.1.?', 'conductor': 106560, 'lmfdb_label': '106560.gg4', 'prime': 0}
  • id: 425115
    {'conductor': 106560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '106560.gg4', 'modell_image': '2B', 'prime': 2}
  • id: 425116
    {'conductor': 106560, 'elladic_image': '3.4.0.1', 'lmfdb_label': '106560.gg4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 106560.gg does not appear in ec_padic