Elliptic curve data - 154560.de3

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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': '154560gb', 'Clabel': '154560gb1', 'Cnumber': 1, 'abc_quality': 1.0218078052670665, 'absD': 2885662402560000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6440, 'ainvs': [0, -1, 0, -375737425, -2803208443823], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154560, 'degree': 17694720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2037536962819655636112554585', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [358061097267989271289240144, 176126855625], 'lmfdb_iso': '154560.de', 'lmfdb_label': '154560.de3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -93934356, -350448022656], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '56.12.0-4.c.1.1', '184.12.0.?', '280.24.0.?', '322.6.0.?', '644.12.0.?', '920.24.0.?', '1288.24.0.?', '6440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9860010661757683627591296957', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3950819856286960359578179835', 'prec': 100}, 'szpiro_ratio': 5.929427881340331, '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, 1, 0, 1, 0, -4, 0, 2, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, -1, 1, 1, -4, 2, -2, -4, -1, -6, -8, 2, 2, 0, 4, -6, 8, -2, -8, 16, 6, -4, 12, -18, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 154560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '154560.de', 'trace_hash': 508515094215454276}
• 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': '0.0016491300169697732489245824608', 'prec': 110}, 'conductor': 154560, 'gens': [[46609, 8996400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9860010661757683627591296957', 'prec': 100}], 'lmfdb_label': '154560.de3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.034290865031664931892383893193', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4673369830522316592827853079329929960', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-11191, 0, 1]], 'xcoord_integral_points': [-11191, 46609]}
• lmfdb_label 154560.de3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6934081
    {'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '154560.de3', 'torsion': [2, 2]}
  • id: 6934083
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [4]}
  • id: 6934082
    {'degree': 2, 'field': [46, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [4]}
  • id: 6934084
    {'degree': 4, 'field': [64, 0, 30, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [2, 4]}
  • id: 6934088
    {'degree': 8, 'field': [-147, 0, -260, 0, 642, 0, -6, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [6]}
  • id: 6934087
    {'degree': 8, 'field': [345, -620, 924, -644, 413, -112, 42, -4, 1], 'lmfdb_label': '154560.de3', 'torsion': [8]}
  • id: 6934085
    {'degree': 8, 'field': [122500, 0, -15386, 0, -651, 0, -14, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [2, 4]}
  • id: 6934086
    {'degree': 8, 'field': [164778625, 3428200, -3382930, -90260, 44431, 836, -274, -4, 1], 'lmfdb_label': '154560.de3', 'torsion': [8]}
  • id: 6934094
    {'degree': 16, 'field': [477481, 0, 770872, 0, 196156, 0, 172764, 0, 26286, 0, 3096, 0, 256, 0, 28, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [12]}
  • id: 6934093
    {'degree': 16, 'field': [122877225, 0, 291871800, 0, 91019100, 0, 14994076, 0, 1408622, 0, 87256, 0, 3616, 0, 92, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [12]}
  • id: 6934089
    {'degree': 16, 'field': [602849809, 0, 189159508, 0, 9253022, 0, -2477124, 0, -21445, 0, 8124, 0, -262, 0, -8, 0, 1], 'lmfdb_label': '154560.de3', 'torsion': [4, 4]}
  • id: 6934090
    {'degree': 16, 'field': [11869866180, 5304252000, -1161467264, -711691120, 123666420, 81367312, -4296796, -4850256, 265357, 258776, 4198, -7836, 323, 196, 18, -4, 1], 'lmfdb_label': '154560.de3', 'torsion': [2, 8]}
  • id: 6934091
    {'degree': 16, 'field': [3315103240345, -26001485380, 672558648264, -1292021055476, 643175257398, 3686600136, -1697884832, 392443492, -86095713, -8086696, 1691488, -37356, 3678, 1148, -144, -8, 1], 'lmfdb_label': '154560.de3', 'torsion': [2, 8]}
  • id: 6934092
    {'degree': 16, 'field': [10417089384590, 902404328140, -849820829270, -101778221272, 42566760026, 9571634100, -2509519274, -561983632, 113646587, 17371364, -2950818, -279520, 41612, 2268, -304, -8, 1], 'lmfdb_label': '154560.de3', '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: 3822852
    {'conductor': 154560, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '154560.de3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3822853
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '154560.de3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3822854
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '154560.de3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3822855
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '154560.de3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 3822856
    {'conductor': 154560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '154560.de3', 'prime': 23, '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: 2664938
    {'adelic_gens': [[2248, 3, 1405, 2], [1, 0, 8, 1], [797, 802, 5630, 2413], [1, 8, 0, 1], [1, 4, 4, 17], [4033, 4028, 4030, 807], [6433, 8, 6432, 9], [2577, 8, 3868, 33], [7, 6, 6434, 6435], [4604, 1, 5543, 6]], 'adelic_image': '6440.48.0.?', 'conductor': 154560, 'lmfdb_label': '154560.de3', 'prime': 0}
  • id: 590901
    {'conductor': 154560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '154560.de3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 154560.de does not appear in ec_padic