Elliptic curve data - 377520.dy3

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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': '377520dy', 'Clabel': '377520dy2', 'Cnumber': 2, 'abc_quality': 0.9856789904359551, 'absD': 110893406832582042240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -194066616, 1040389299684], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 82575360, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4397201800310088497922152902', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 102, 'isogeny_degrees': [1, 2], 'jinv': [445574312599094932036, 61129333175625], 'lmfdb_iso': '377520.dy', 'lmfdb_label': '377520.dy3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1603856, 782243100], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '132.12.0.?', '156.12.0.?', '264.24.0.?', '312.24.0.?', '572.12.0.?', '1144.24.0.?', '1716.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4959966809891333322589053806', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6631498931652024865802167333', 'prec': 100}, 'szpiro_ratio': 5.362721564983833, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -4, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, -4, 0, -1, 2, 4, 4, -6, 0, 10, 10, 4, 0, 10, 12, 2, -8, 8, 2, -16, -12, -10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 377520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '377520.dy', 'trace_hash': 1774342894952822593}
• 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': '0.0010287195966801908439933494653', 'prec': 110}, 'conductor': 377520, 'gens': [[8214, 24300, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4959966809891333322589053806', 'prec': 100}], 'lmfdb_label': '377520.dy3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10172825219747958645332707703', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5223671484142783638433844459140569620', 'prec': 130}, 'tamagawa_product': 896, 'torsion_generators': [[7971, 0, 1], [8114, 0, 1]], 'xcoord_integral_points': [-16086, -6186, 7872, 7971, 8114, 8214, 13155, 42720]}
• lmfdb_label 377520.dy3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15645247
    {'degree': 4, 'field': [108, -63, 19, -1, 1], 'lmfdb_label': '377520.dy3', 'torsion': [2, 4]}
  • id: 15645248
    {'degree': 4, 'field': [289, 0, -32, 0, 1], 'lmfdb_label': '377520.dy3', 'torsion': [2, 4]}
  • id: 15645249
    {'degree': 4, 'field': [5041, 0, -144, 0, 1], 'lmfdb_label': '377520.dy3', 'torsion': [2, 4]}
  • id: 15645250
    {'degree': 8, 'field': [-1263603, 0, -135784, 0, -3894, 0, 0, 0, 1], 'lmfdb_label': '377520.dy3', 'torsion': [2, 6]}
  • id: 15645252
    {'degree': 16, 'field': [1094908, 43784, 526248, 599164, -122161, 415944, 100426, 38492, 88128, -10300, 18028, -2664, 1694, -176, 72, -4, 1], 'lmfdb_label': '377520.dy3', 'torsion': [2, 8]}
  • id: 15645251
    {'degree': 16, 'field': [136048896, 0, 0, 0, -10502703, 0, 0, 0, 216739, 0, 0, 0, 467, 0, 0, 0, 1], 'lmfdb_label': '377520.dy3', 'torsion': [4, 4]}
  • id: 15645253
    {'degree': 16, 'field': [3129597208089, 189168038928, -201288003048, 23531824008, -9961529250, -2260815312, 912896532, -136565808, 34106047, 137776, -142052, 62848, -10778, 112, 4, -8, 1], 'lmfdb_label': '377520.dy3', 'torsion': [2, 8]}
  • id: 15645254
    {'degree': 16, 'field': [637368920776182754, 35524170183612152, -27860543094742292, -554729172324256, 926980917590678, 23923794588728, -20277089264316, -427038889888, 199052487011, 3106187152, -897686148, -9972944, 2022758, 14584, -2252, -8, 1], 'lmfdb_label': '377520.dy3', 'torsion': [2, 8]}
• 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: 9340956
    {'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '377520.dy3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9340957
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '377520.dy3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 9340958
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '377520.dy3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9340959
    {'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '377520.dy3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9340960
    {'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '377520.dy3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 4011873
    {'adelic_gens': [[1717, 4, 2, 9], [1145, 2, 0, 1], [1, 4, 0, 1], [1059, 2, 1582, 3431], [1, 0, 4, 1], [3429, 4, 3428, 5], [2495, 3428, 1558, 3423], [2571, 3428, 1714, 3429]], 'adelic_image': '3432.48.0.?', 'conductor': 377520, 'lmfdb_label': '377520.dy3', 'prime': 0}
  • id: 1292775
    {'conductor': 377520, 'elladic_image': '8.12.0.1', 'lmfdb_label': '377520.dy3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 377520.dy does not appear in ec_padic