Elliptic curve data - 244398.y4

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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': '244398y', 'Clabel': '244398y1', 'Cnumber': 1, 'abc_quality': 1.0023583869343806, 'absD': 6135061355641715517554688, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 14168, 'ainvs': [1, 1, 1, 7902191, -118859768593], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 244398, 'degree': 48660480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4357277798017771950381009454', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4], 'jinv': [368637286278891167, 41443067603976192], 'lmfdb_iso': '244398.y', 'lmfdb_label': '244398.y4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 14938, 9775523], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '14.6.0.b.1', '28.12.0.g.1', '88.12.0.?', '92.12.0.?', '616.24.0.?', '644.24.0.?', '2024.24.0.?', '14168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.8679806718372023496347245295', 'prec': 100}, 'szpiro_ratio': 5.200930484075653, '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, -2, -1, 1, 1, 1, -2, -1, -1, -2, 1, 2, 1, 2, 1, 0, -2], 'aplist': [1, -1, -2, 1, -1, -2, 2, 0, 0, -2, 4, 10, 6, 4, -12, -6, -4, 10, -4, 0, 14, 8, 8, 14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 244398, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '244398.y', 'trace_hash': 1924036682162597496}
• 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': '0.0010369665989039718515608826685', 'prec': 110}, 'conductor': 244398, 'gens': [], 'heights': [], 'lmfdb_label': '244398.y4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.035781445118488808192779256414', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8625156094791046554223405131472716216', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[4383, -2192, 1]], 'xcoord_integral_points': [4383]}
• lmfdb_label 244398.y4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10538839
    {'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '244398.y4', 'torsion': [4]}
  • id: 10538838
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '244398.y4', 'torsion': [2, 2]}
  • id: 10538840
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '244398.y4', 'torsion': [4]}
  • id: 10538841
    {'degree': 4, 'field': [16, 0, 15, 0, 1], 'lmfdb_label': '244398.y4', 'torsion': [2, 4]}
  • id: 10538845
    {'degree': 8, 'field': [4424, -30764, 30566, 395, -194, -7, 7, -4, 1], 'lmfdb_label': '244398.y4', 'torsion': [6]}
  • id: 10538844
    {'degree': 8, 'field': [6084, 0, 2492, 0, 165, 0, 6, 0, 1], 'lmfdb_label': '244398.y4', 'torsion': [8]}
  • id: 10538842
    {'degree': 8, 'field': [9972, -4968, 6264, -1368, 865, -106, 38, -2, 1], 'lmfdb_label': '244398.y4', 'torsion': [2, 4]}
  • id: 10538843
    {'degree': 8, 'field': [3062500, 0, -1064084, 0, 5901, 0, -98, 0, 1], 'lmfdb_label': '244398.y4', 'torsion': [8]}
  • id: 10538846
    {'degree': 16, 'field': [1611936, 2625408, 1814328, -1221432, -769412, 599752, 41902, -165846, 28461, 24554, -6672, -2462, 774, 126, -38, -4, 1], 'lmfdb_label': '244398.y4', 'torsion': [4, 4]}
  • id: 10538848
    {'degree': 16, 'field': [13122608, -35594336, 45840112, -20481264, 10175728, 179912, -206348, 76204, 46953, -51116, 17756, -4660, 1262, -252, 56, -8, 1], 'lmfdb_label': '244398.y4', 'torsion': [2, 8]}
  • id: 10538851
    {'degree': 16, 'field': [32243712, -17891328, 65413120, -2157568, 25280512, -1832704, 4767328, -689536, 350696, -49124, -664, -139, -488, -49, 19, -4, 1], 'lmfdb_label': '244398.y4', 'torsion': [12]}
  • id: 10538849
    {'degree': 16, 'field': [3351020544, 0, 3164645376, 0, 936417456, 0, -14234153, 0, -1350166, 0, 63415, 0, -311, 0, 14, 0, 1], 'lmfdb_label': '244398.y4', 'torsion': [2, 6]}
  • id: 10538847
    {'degree': 16, 'field': [5846090688, -4201987392, 632158968, -860650416, 614990884, -33544048, 36839082, -6848812, -178173, 111676, -59334, -8696, 3552, -196, 12, -4, 1], 'lmfdb_label': '244398.y4', 'torsion': [2, 8]}
  • id: 10538850
    {'degree': 16, 'field': [209339191296, 0, 18723277836, 0, -8470110080, 0, 701521440, 0, -22833243, 0, 299168, 0, -2082, 0, 0, 0, 1], 'lmfdb_label': '244398.y4', 'torsion': [12]}
• 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: 6058236
    {'conductor': 244398, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '244398.y4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 6058237
    {'conductor': 244398, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '244398.y4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6058238
    {'conductor': 244398, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '244398.y4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6058239
    {'conductor': 244398, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '244398.y4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6058240
    {'conductor': 244398, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '244398.y4', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3216880
    {'adelic_gens': [[13732, 8625, 8119, 622], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [14161, 8, 14160, 9], [1289, 12328, 11316, 6809], [5475, 13478, 13018, 13939], [9937, 9936, 4094, 5015], [6159, 0, 0, 14167], [7, 6, 14162, 14163]], 'adelic_image': '14168.48.0.?', 'conductor': 244398, 'lmfdb_label': '244398.y4', 'prime': 0}
  • id: 884199
    {'conductor': 244398, 'elladic_image': '4.6.0.1', 'lmfdb_label': '244398.y4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 244398.y does not appear in ec_padic