Elliptic curve data - 38025.cj1

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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': '38025bc', 'Clabel': '38025bc8', 'Cnumber': 8, 'abc_quality': 1.0735374703334082, 'absD': 22267050362578125, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 0, -82134792, 286529921991], 'analytic_rank': 0, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 38025, 'degree': 1769472, 'elladic_images': ['16.48.0.121'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9273693877589749229983816302', 'prec': 97}, 'faltings_index': 6, 'faltings_ratio': 16, 'intrinsic_torsion': 2, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '38025.cj', 'lmfdb_label': '38025.cj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '16.48.0.x.2', '20.12.0.g.1', '40.48.0.bj.1', '80.96.1.?', '96.96.1.?', '156.12.0.?', '160.192.5.?', '240.192.5.?', '312.48.0.?', '416.96.0.?', '480.384.13.?', '624.96.0.?', '780.24.0.?', '1040.192.1.?', '1248.192.1.?', '1560.96.0.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 4225], [5, 18, 1521], [13, 86, 225]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562434', 'prec': 97}, 'szpiro_ratio': 6.285342819110829, '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, 0, 0, 0, -3, 0, 0, -4, 0, 0, 0, 0, -1, 2, 0, -4, 0], 'aplist': [1, 0, 0, 0, -4, 0, 2, -4, 0, 2, 0, -10, 10, -4, -8, -10, -4, -2, 12, -8, 10, 0, -12, -6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 38025, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '38025.cj', 'trace_hash': 1916986424320421176}
• 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': '0.0028662842469455501304701830540', 'prec': 97}, 'conductor': 38025, 'gens': [], 'heights': [], 'lmfdb_label': '38025.cj1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22861855956766531771418933089', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '0.91447423827066127085675732354313648764', 'prec': 127}, 'tamagawa_product': 16, 'torsion_generators': [[20931, -20931, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': 'a', '5': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '38025.cj1'}
• ec_torsion_growth •

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

  
  
  • id: 1878137
    {'degree': 2, 'field': [-195, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [4]}
  • id: 1878138
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [4]}
  • id: 1878136
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 2]}
  • id: 1878140
    {'degree': 4, 'field': [289, 0, -44, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [8]}
  • id: 1878139
    {'degree': 4, 'field': [1405, 80, -79, -2, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 4]}
  • id: 1878141
    {'degree': 4, 'field': [9409, 0, -196, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [8]}
  • id: 1878147
    {'degree': 8, 'field': [-8035, 8280, -2351, 1217, 345, -95, 20, -3, 1], 'lmfdb_label': '38025.cj1', 'torsion': [6]}
  • id: 1878142
    {'degree': 8, 'field': [9220, -4580, 5170, -1220, 711, -124, 46, -4, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 4]}
  • id: 1878143
    {'degree': 8, 'field': [14901, 6060, -3404, -440, 541, -20, -34, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [8]}
  • id: 1878145
    {'degree': 8, 'field': [34225, 0, -40600, 0, 4860, 0, -160, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [16]}
  • id: 1878144
    {'degree': 8, 'field': [91009, 26148, -23780, -4652, 2117, 248, -78, -4, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 8]}
  • id: 1878146
    {'degree': 8, 'field': [378225, 0, -90600, 0, 6460, 0, -160, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [16]}
  • id: 1878153
    {'degree': 16, 'field': [697225, 1081325, 872300, -532585, 154840, -29385, 110894, 7921, -6704, -8501, -649, 855, 259, -16, -34, -1, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 6]}
  • id: 1878152
    {'degree': 16, 'field': [1500625, 0, -31360000, 0, 136952000, 0, -41352000, 0, 5026175, 0, -307200, 0, 9920, 0, -160, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 16]}
  • id: 1878149
    {'degree': 16, 'field': [1638400, 0, 0, 0, 0, 0, 0, 0, 2315, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 8]}
  • id: 1878151
    {'degree': 16, 'field': [2825761, 0, 0, 0, -549760, 0, 0, 0, 54807, 0, 0, 0, -160, 0, 0, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [16]}
  • id: 1878155
    {'degree': 16, 'field': [66928761, 0, -69974103, 0, 26774488, 0, -5439891, 0, 664065, 0, -52261, 0, 2643, 0, -78, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [12]}
  • id: 1878148
    {'degree': 16, 'field': [70913241, 0, 56884920, 0, 21647746, 0, 4723640, 0, 635091, 0, 53560, 0, 2766, 0, 80, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [4, 4]}
  • id: 1878150
    {'degree': 16, 'field': [117288900, 0, -75593400, 0, 23455960, 0, -4452460, 0, 586941, 0, -49856, 0, 2586, 0, -76, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [2, 8]}
  • id: 1878154
    {'degree': 16, 'field': [581051025, 0, -426057285, 0, 122172121, 0, -18624984, 0, 1711380, 0, -104210, 0, 4200, 0, -99, 0, 1], 'lmfdb_label': '38025.cj1', 'torsion': [12]}
• 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: 897521
    {'conductor': 38025, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '38025.cj1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 897522
    {'conductor': 38025, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '38025.cj1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 897523
    {'conductor': 38025, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '38025.cj1', 'prime': 13, '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: 1917916
    {'adelic_gens': [[2341, 2912, 3796, 2913], [1, 0, 32, 1], [1951, 2912, 390, 1], [1, 32, 0, 1], [5, 28, 68, 381], [479, 0, 0, 6239], [2768, 455, 1417, 3054], [6209, 32, 6208, 33], [23, 18, 3678, 4235], [3977, 6214, 3978, 1429]], 'adelic_image': '6240.768.13.?', 'conductor': 38025, 'lmfdb_label': '38025.cj1', 'prime': 0}
  • id: 167624
    {'conductor': 38025, 'elladic_image': '16.48.0.121', 'lmfdb_label': '38025.cj1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 38025.cj does not appear in ec_padic