Elliptic curve data - 11368.i4

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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': '11368n', 'Clabel': '11368n1', 'Cnumber': 1, 'abc_quality': 0.9894702518886687, 'absD': 131068515536, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1624, 'ainvs': [0, 0, 0, -1274, -1715], 'analytic_rank': 0, 'bad_primes': [2, 7, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11368, 'degree': 8448, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82293405514470831916102292001', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [121485312, 69629], 'lmfdb_iso': '11368.i', 'lmfdb_label': '11368.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -26, 5], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '28.12.0-4.c.1.2', '56.24.0-56.z.1.2', '58.6.0.a.1', '116.12.0.?', '232.24.0.?', '812.24.0.?', '1624.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38107007956959676986406415886', 'prec': 107}, 'szpiro_ratio': 3.5405203576699398, '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, 2, 0, 0, 0, -3, 0, -4, 0, 2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 2, 0, -4, 2, -6, 0, 8, 1, -4, 6, -6, 4, -4, 6, 4, 14, 4, 0, -14, -16, 4, 2, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 11368, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '11368.i', 'trace_hash': 772460094110561536}
• 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': '0.19284507930959990554282867870', 'prec': 103}, 'conductor': 11368, 'gens': [], 'heights': [], 'lmfdb_label': '11368.i4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.86697200165201922481856837105', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7339440033040384496371367421054477153', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-35, 0, 1]], 'xcoord_integral_points': [-35]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '7': 'a', '29': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '11368.i4'}
• ec_torsion_growth •

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

  
  
  • id: 588009
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '11368.i4', 'torsion': [2, 2]}
  • id: 588010
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '11368.i4', 'torsion': [4]}
  • id: 588011
    {'degree': 2, 'field': [51, -1, 1], 'lmfdb_label': '11368.i4', 'torsion': [4]}
  • id: 588013
    {'degree': 4, 'field': [29, 0, -2, 0, 1], 'lmfdb_label': '11368.i4', 'torsion': [8]}
  • id: 588012
    {'degree': 4, 'field': [81, 0, -11, 0, 1], 'lmfdb_label': '11368.i4', 'torsion': [2, 4]}
  • id: 588017
    {'degree': 8, 'field': [-2352, 0, -3024, 0, 168, 0, 0, 0, 1], 'lmfdb_label': '11368.i4', 'torsion': [6]}
  • id: 588015
    {'degree': 8, 'field': [49, -392, 1568, -1484, 690, 48, 8, -4, 1], 'lmfdb_label': '11368.i4', 'torsion': [8]}
  • id: 588016
    {'degree': 8, 'field': [53, -194, 200, -18, 25, -22, 12, -4, 1], 'lmfdb_label': '11368.i4', 'torsion': [2, 8]}
  • id: 588014
    {'degree': 8, 'field': [400, 0, -3808, 0, 236, 0, -28, 0, 1], 'lmfdb_label': '11368.i4', 'torsion': [2, 4]}
  • id: 588018
    {'degree': 16, 'field': [19881, 0, -27752, 0, 18778, 0, -5416, 0, 635, 0, 248, 0, 134, 0, 16, 0, 1], 'lmfdb_label': '11368.i4', 'torsion': [4, 4]}
  • id: 588023
    {'degree': 16, 'field': [129829, 885458, 1362582, -4726838, -3014848, 1550988, 5133700, 2249078, 750273, 54092, 9796, -2298, -100, 34, 6, -4, 1], 'lmfdb_label': '11368.i4', 'torsion': [12]}
  • id: 588022
    {'degree': 16, 'field': [885952, -980608, 1211456, -401760, 33248, 249592, -159668, 56712, -2339, -9264, 3472, -1216, 506, -168, 44, -8, 1], 'lmfdb_label': '11368.i4', 'torsion': [12]}
  • id: 588019
    {'degree': 16, 'field': [1720861, 3011150, 2331548, -42558, 4245038, -1037324, 1380890, -85242, 161427, -10908, 574, -2498, 1106, -74, 22, -4, 1], 'lmfdb_label': '11368.i4', 'torsion': [2, 8]}
  • id: 588020
    {'degree': 16, 'field': [1882384, 0, 2151296, 307328, 329280, 197568, 39200, -17248, 12600, -7168, 2464, -224, -208, 80, 24, -8, 1], 'lmfdb_label': '11368.i4', 'torsion': [16]}
  • id: 588021
    {'degree': 16, 'field': [51883209, 0, -62925408, 0, 2852388, 0, -2568384, 0, 72030, 0, 8736, 0, -588, 0, 0, 0, 1], 'lmfdb_label': '11368.i4', 'torsion': [2, 6]}
• 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: 243697
    {'conductor': 11368, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '11368.i4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 243698
    {'conductor': 11368, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '11368.i4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 243699
    {'conductor': 11368, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11368.i4', 'prime': 29, '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: 1739321
    {'adelic_gens': [[1019, 1018, 1434, 619], [1617, 8, 1616, 9], [1, 0, 8, 1], [1159, 1616, 1388, 1591], [1425, 1424, 622, 1431], [1408, 3, 677, 2], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 1618, 1619]], 'adelic_image': '1624.48.0.?', 'conductor': 11368, 'lmfdb_label': '11368.i4', 'prime': 0}
  • id: 54528
    {'conductor': 11368, 'elladic_image': '8.12.0.6', 'lmfdb_label': '11368.i4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 11368.i does not appear in ec_padic