Elliptic curve data - 153425.h2

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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': '153425h', 'Clabel': '153425h2', 'Cnumber': 2, 'abc_quality': 1.0296285559493121, 'absD': 212441556390625, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 51680, 'ainvs': [1, -1, 1, -51330, 4433672], 'analytic_rank': 2, 'bad_primes': [5, 17, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 153425, 'degree': 442368, 'elladic_images': ['16.48.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5537287345789542816388443176', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [20346417, 289], 'lmfdb_iso': '153425.h', 'lmfdb_label': '153425.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -6, -4], 'min_quad_twist_disc': -95, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0.f.1', '16.48.0.c.2', '68.24.0.b.1', '136.96.3.?', '272.384.21.?', '380.24.0.?', '544.768.53.?', '760.48.0.?', '1520.96.0.?', '6460.48.0.?', '12920.192.3.?', '25840.768.21.?', '51680.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.2939105821501288000767796881', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72320971122131613566604906496', 'prec': 107}, 'szpiro_ratio': 3.6974958782337133, '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, -1, 0, -1, 0, 0, -4, 3, -3, 0, 0, 0, -2, 4, 0, -1, -1, 3, 0, 0], 'aplist': [-1, 0, 0, -4, 0, -2, -1, 0, -4, -6, -4, -2, 6, -4, 0, 6, 12, -10, 4, 4, 6, -12, 4, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 153425, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '153425.h', 'trace_hash': 1612355079024361520}
• 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': '0.044714498927683854327488801464', 'prec': 107}, 'conductor': 153425, 'gens': [[164, 555, 1], [144, 40, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8273848245050417887813762967', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.9942956043692349771332145328', 'prec': 100}], 'lmfdb_label': '153425.h2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.56341377912669395829610525719', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9653243348960009982124653130797537725', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-261, 130, 1], [119, -60, 1]], 'xcoord_integral_points': [-261, -242, 100, 119, 144, 164, 594, 1099, 7814]}
• lmfdb_label 153425.h2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6884703
    {'degree': 4, 'field': [576, 0, -47, 0, 1], 'lmfdb_label': '153425.h2', 'torsion': [2, 4]}
  • id: 6884702
    {'degree': 4, 'field': [784, 0, 39, 0, 1], 'lmfdb_label': '153425.h2', 'torsion': [2, 4]}
  • id: 6884704
    {'degree': 4, 'field': [8186, 198, -197, -2, 1], 'lmfdb_label': '153425.h2', 'torsion': [2, 4]}
  • id: 6884706
    {'degree': 8, 'field': [-953571, -62205, 136371, -3960, -2955, -75, 3, 0, 1], 'lmfdb_label': '153425.h2', 'torsion': [2, 6]}
  • id: 6884705
    {'degree': 8, 'field': [145184, -44992, 49002, -8134, 4353, -346, 120, -4, 1], 'lmfdb_label': '153425.h2', 'torsion': [4, 4]}
  • id: 6884707
    {'degree': 16, 'field': [74033507039, -30519985244, 35526396598, -10459288012, 6369960906, -1436829900, 595501370, -104911556, 32605611, -4443068, 1082746, -109572, 21356, -1456, 228, -8, 1], 'lmfdb_label': '153425.h2', 'torsion': [2, 8]}
  • id: 6884708
    {'degree': 16, 'field': [79197329201, -29732596196, 34530054442, -10027697908, 6119619192, -1394428956, 579788306, -103548884, 32254089, -4436228, 1081774, -109788, 21392, -1456, 228, -8, 1], 'lmfdb_label': '153425.h2', 'torsion': [2, 8]}
  • id: 6884709
    {'degree': 16, 'field': [4469881314123241, 0, -438174195735276, 0, 18206384636316, 0, -419590622532, 0, 5870568846, 0, -51089332, 0, 270316, 0, -796, 0, 1], 'lmfdb_label': '153425.h2', '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: 3793334
    {'conductor': 153425, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '153425.h2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3793335
    {'conductor': 153425, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '153425.h2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3793336
    {'conductor': 153425, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '153425.h2', 'prime': 19, '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: 2657958
    {'adelic_gens': [[1, 0, 32, 1], [15581, 37620, 37240, 23561], [1, 32, 0, 1], [3231, 26790, 25840, 1], [41343, 0, 0, 51679], [16319, 0, 0, 51679], [11021, 40280, 41610, 4181], [29, 8, 4252, 1173], [9, 32, 51624, 51481], [51649, 32, 51648, 33]], 'adelic_image': '51680.1536.53.?', 'conductor': 153425, 'lmfdb_label': '153425.h2', 'prime': 0}
  • id: 587116
    {'conductor': 153425, 'elladic_image': '16.48.0.20', 'lmfdb_label': '153425.h2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 153425.h does not appear in ec_padic