Elliptic curve data - 338130.n2

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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': '338130n', 'Clabel': '338130n1', 'Cnumber': 1, 'abc_quality': 1.0868098531910144, 'absD': 9911377140996464640000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [1, -1, 0, 4856880, 2442067200], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 338130, 'degree': 25231360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9086594791861104388281661663', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [19441890357117957, 15208161280000], 'lmfdb_iso': '338130.n', 'lmfdb_label': '338130.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 16806, 493108], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '52.6.0.e.1', '78.6.0.?', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.187750567692378127763292404', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2173997349909749758545875481', 'prec': 100}, 'szpiro_ratio': 4.540136688756503, '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, -2, -1, 0, 1, 4, 0, -1, 2, 0, 1, 0, 0, 6, -1], 'aplist': [-1, 0, -1, -2, 4, -1, 0, 6, 0, -4, -6, 2, 10, 8, 0, 4, -4, -2, 6, -8, -10, 4, 12, 2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 338130, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '338130.n', 'trace_hash': 1379208249341521645}
• 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': '0.0029755720927963612114498770070', 'prec': 110}, 'conductor': 338130, 'gens': [[68712723, 2852961067587, 337]], 'heights': [{'__RealLiteral__': 0, 'data': '16.187750567692378127763292404', 'prec': 100}], 'lmfdb_label': '338130.n2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.082879126029739714023396685972', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3665064777510688346231467656656753137', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-480, 240, 1]], 'xcoord_integral_points': [-480]}
• lmfdb_label 338130.n2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14150739
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '338130.n2', 'torsion': [2, 2]}
  • id: 14150740
    {'degree': 4, 'field': [-723, -102, -27, 0, 1], 'lmfdb_label': '338130.n2', 'torsion': [4]}
  • id: 14150743
    {'degree': 8, 'field': [-97612, 52020, -8660, 1360, -1062, -850, -13, 0, 1], 'lmfdb_label': '338130.n2', 'torsion': [6]}
  • id: 14150741
    {'degree': 8, 'field': [42025, 0, -7367, 0, 708, 0, -23, 0, 1], 'lmfdb_label': '338130.n2', 'torsion': [2, 4]}
  • id: 14150742
    {'degree': 8, 'field': [70552, -8924, 9386, -944, 523, -64, 26, -4, 1], 'lmfdb_label': '338130.n2', 'torsion': [2, 4]}
  • id: 14150745
    {'degree': 16, 'field': [113105515080, -74306266908, 35598190456, -4550131340, 126137020, 355424112, -141921708, 10065351, 380248, -288542, 252463, -11076, -4032, 321, -44, -2, 1], 'lmfdb_label': '338130.n2', 'torsion': [2, 6]}
  • id: 14150744
    {'degree': 16, 'field': [497652293125, 176430507500, 4773954250, -13767754000, -5226633100, 61037600, 227765590, 53419600, 1043281, -1754520, -61766, 19320, 7132, -100, -164, 0, 1], 'lmfdb_label': '338130.n2', '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: 8367909
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '338130.n2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8367910
    {'conductor': 338130, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '338130.n2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8367911
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '338130.n2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8367912
    {'conductor': 338130, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '338130.n2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8367913
    {'conductor': 338130, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '338130.n2', '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: 3778053
    {'adelic_gens': [[1, 2, 2, 5], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 338130, 'lmfdb_label': '338130.n2', 'prime': 0}
  • id: 1174325
    {'conductor': 338130, 'elladic_image': '2.3.0.1', 'lmfdb_label': '338130.n2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 338130.n does not appear in ec_padic