Elliptic curve data - 358974.j2

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

  
  {'Ciso': '358974j', 'Clabel': '358974j2', 'Cnumber': 2, 'abc_quality': 0.9543394387906446, 'absD': 195920429382127438170336, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 68376, 'ainvs': [1, -1, 0, 10574289, 16681287181], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 358974, 'degree': 39813120, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1547286490332386696295926229', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [1524619421247611807, 2284356889384416], 'lmfdb_iso': '358974.j', 'lmfdb_label': '358974.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 23978, 1803524], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '3256.2.0.?', '9768.8.0.?', '68376.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6215971868607661018193243137', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 179487], [3, 8, 98], [5, 2, 179487], [7, 32, 7326], [11, 12, 32634], [37, 38, 9702]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6324674301715271713792936327', 'prec': 100}, 'szpiro_ratio': 4.737592403355608, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, 0, -1, 0, 3, 1, 0, 4, 0, 0, 1, -3, 0, -2, -3], 'aplist': [-1, 0, -3, 0, 1, 4, -3, -2, 0, -6, -2, 1, 0, -4, 3, 0, 12, 4, 8, -3, 4, 5, -3, 0, 16], 'class_deg': 3, 'class_size': 2, 'conductor': 358974, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '358974.j', 'trace_hash': 12133894603308913}
• 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': '0.0018190201571413121977922504899', 'prec': 110}, 'conductor': 358974, 'gens': [[2921, 267770, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6215971868607661018193243137', 'prec': 100}], 'lmfdb_label': '358974.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.068314758349971613303164660174', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9880447186099319839413424576264211350', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [2921]}
• lmfdb_label 358974.j2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14949672
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '358974.j2', 'torsion': [3]}
  • id: 14949673
    {'degree': 3, 'field': [22, 14, -1, 1], 'lmfdb_label': '358974.j2', 'torsion': [2]}
  • id: 14949675
    {'degree': 6, 'field': [7, -273, 78, 17, -12, -3, 1], 'lmfdb_label': '358974.j2', 'torsion': [3]}
  • id: 14949676
    {'degree': 6, 'field': [1036, -518, 228, -75, 33, -1, 1], 'lmfdb_label': '358974.j2', 'torsion': [6]}
  • id: 14949674
    {'degree': 6, 'field': [1298, -1496, 823, -44, -6, 0, 1], 'lmfdb_label': '358974.j2', 'torsion': [2, 2]}
  • id: 14949677
    {'degree': 12, 'field': [-2993917104, -195839424, 124249392, 21698784, 3687028, -51456, -32036, 7648, -4537, 152, -12, -4, 1], 'lmfdb_label': '358974.j2', 'torsion': [4]}
  • id: 14949678
    {'degree': 12, 'field': [196, 588, 1260, 2212, 2220, -1698, 455, 33, -30, 23, 0, -3, 1], 'lmfdb_label': '358974.j2', 'torsion': [3, 3]}
  • id: 14949679
    {'degree': 12, 'field': [970992, 2811600, 3766988, 1552640, 595240, 54680, -14479, -3406, 1283, 68, 15, -6, 1], 'lmfdb_label': '358974.j2', 'torsion': [2, 6]}
  • id: 14949681
    {'degree': 18, 'field': [-35244823563, 15462359973, -11054555001, 615980712, 1513986102, -102140874, 133452352, -55127208, 26326461, -5882089, 2170053, -353088, 50268, -11250, 1638, -220, 39, -3, 1], 'lmfdb_label': '358974.j2', 'torsion': [6]}
  • id: 14949680
    {'degree': 18, 'field': [391278989232050604336, -8194447157639970528, 960659449263255168, 203106672796680864, -60412129917616512, -3889682347655664, 1313937681716052, 30178357490736, 976908275028, -409425293724, -11450323080, 55427652, 32398493, 1564584, -13545, -5858, 0, 0, 1], 'lmfdb_label': '358974.j2', 'torsion': [9]}
• 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: 8884407
    {'conductor': 358974, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '358974.j2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8884408
    {'conductor': 358974, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '358974.j2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8884409
    {'conductor': 358974, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '358974.j2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8884410
    {'conductor': 358974, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '358974.j2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8884411
    {'conductor': 358974, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '358974.j2', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3902396
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [33265, 48846, 21651, 9787], [6217, 48846, 8883, 9787], [34189, 48846, 24423, 9787], [17095, 48846, 0, 1], [68371, 6, 68370, 7], [39071, 0, 0, 68375], [9358, 49245, 18305, 53717], [1, 6, 0, 1]], 'adelic_image': '68376.16.0.?', 'conductor': 358974, 'lmfdb_label': '358974.j2', 'prime': 0}
  • id: 1238377
    {'conductor': 358974, 'elladic_image': '3.4.0.1', 'lmfdb_label': '358974.j2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 358974.j does not appear in ec_padic