Elliptic curve data - 338130.dd1

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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
  intrinsic_torsion	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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '338130dd', 'Clabel': '338130dd2', 'Cnumber': 2, 'abc_quality': 1.0191101255152029, 'absD': 2002945682659474969041600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 13260, 'ainvs': [1, -1, 1, -55397453, 143366294837], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 338130, 'degree': 95256576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3974652432955928698453796002', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2], 'jinv': [217482980991353, 23168683200], 'lmfdb_iso': '338130.dd', 'lmfdb_label': '338130.dd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -21298, -1089548], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '204.6.0.?', '780.6.0.?', '4420.6.0.?', '13260.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 153], [3, 8, 1445], [5, 6, 67626], [13, 14, 26010], [17, 98, 1170]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72324909091937596396060601834', 'prec': 103}, 'szpiro_ratio': 5.113721297951447, '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, 0, 1, -1, 0, 4, 1, 0, -1, 0, 0, 1, 4, 0, 1, 0, 0, 6, -1], 'aplist': [1, 0, -1, 4, 0, 1, 0, 6, -4, -10, 8, -12, -2, 6, 8, 4, 4, 8, -12, 0, 16, -4, -12, -12, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 338130, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '338130.dd', 'trace_hash': 2049903291674964813}
• 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': '0.0011194357820986620009280715013', 'prec': 110}, 'conductor': 338130, 'gens': [], 'heights': [], 'lmfdb_label': '338130.dd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.080361367430792555597629334212', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7860184550170640030293120632893153955', 'prec': 130}, 'tamagawa_product': 288, 'torsion_generators': [[21387, -21391, 2]], 'xcoord_integral_points': []}
• lmfdb_label 338130.dd1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14152091
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '338130.dd1', 'torsion': [2, 2]}
  • id: 14152092
    {'degree': 4, 'field': [3264, 0, -119, 0, 1], 'lmfdb_label': '338130.dd1', 'torsion': [4]}
  • id: 14152095
    {'degree': 8, 'field': [24088, -22388, 10306, -4003, 692, -55, 1, -2, 1], 'lmfdb_label': '338130.dd1', 'torsion': [6]}
  • id: 14152093
    {'degree': 8, 'field': [76176, 0, -32904, 0, 3937, 0, -121, 0, 1], 'lmfdb_label': '338130.dd1', 'torsion': [2, 4]}
  • id: 14152094
    {'degree': 8, 'field': [2286144, 0, 64800, 0, 516, 0, -72, 0, 1], 'lmfdb_label': '338130.dd1', 'torsion': [2, 4]}
  • id: 14152097
    {'degree': 16, 'field': [3240000, 0, -4867251, 0, 2732596, 0, -787938, 0, 89685, 0, 2065, 0, -858, 0, -12, 0, 1], 'lmfdb_label': '338130.dd1', 'torsion': [2, 6]}
  • id: 14152096
    {'degree': 16, 'field': [306402103296, 0, -536389668864, 0, 226209656592, 0, -21588589512, 0, 879662760, 0, -17464398, 0, 166417, 0, -686, 0, 1], 'lmfdb_label': '338130.dd1', 'torsion': [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: 8368614
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '338130.dd1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8368615
    {'conductor': 338130, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '338130.dd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8368616
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '338130.dd1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8368617
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '338130.dd1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8368618
    {'conductor': 338130, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '338130.dd1', 'prime': 17, 'reduction_type': 0, '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: 3777979
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [8842, 1, 8839, 0], [1, 4, 0, 1], [7957, 4, 2654, 9], [10144, 1, 779, 0], [3316, 9949, 9945, 3316], [13257, 4, 13256, 5], [11221, 4, 9182, 9]], 'adelic_image': '13260.12.0.?', 'conductor': 338130, 'lmfdb_label': '338130.dd1', 'prime': 0}
  • id: 1174254
    {'conductor': 338130, 'elladic_image': '2.3.0.1', 'lmfdb_label': '338130.dd1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 338130.dd does not appear in ec_padic