Elliptic curve data - 139425.r1

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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': '139425be', 'Clabel': '139425be1', 'Cnumber': 1, 'abc_quality': 0.9416222780553999, 'absD': 394229625075, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 390, 'ainvs': [0, -1, 1, -3943, 101298], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 139425, 'degree': 168480, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98126386943826434898102166449', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 3], 'jinv': [-56197120, 3267], 'lmfdb_iso': '139425.r', 'lmfdb_label': '139425.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -23, 53], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '195.8.0.?', '390.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 12675], [3, 4, 46475], [5, 10, 5577], [11, 12, 12675], [13, 86, 825]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56945046136485408147918194517', 'prec': 107}, 'szpiro_ratio': 3.085504674423129, '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, 0, -1, -2, 0, 0, -1, 0, 1, 0, 1, 2, 0, 0, 0, 4, 6, 0, 7, 0], 'aplist': [0, -1, 0, -1, 1, 0, 6, 7, -6, -6, 7, 2, 6, 1, 0, 6, 0, 5, 5, 12, 14, -4, -6, -6, 17], 'class_deg': 3, 'class_size': 2, 'conductor': 139425, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '139425.r', 'trace_hash': 203279207171382560}
• 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': '0.14050281724036362599171176112', 'prec': 103}, 'conductor': 139425, 'gens': [], 'heights': [], 'lmfdb_label': '139425.r1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.93599460280621145197478025272', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8719892056124229039495605054506184920', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 2, 0], '3': [0, 0], '5': 'a', '7': [0, 0], '11': [3, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '139425.r1'}
• ec_torsion_growth •

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

  
  
  • id: 6304156
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '139425.r1', 'torsion': [3]}
  • id: 6304157
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '139425.r1', 'torsion': [2]}
  • id: 6304160
    {'degree': 6, 'field': [-1244, -556, -60, -65, 15, -1, 1], 'lmfdb_label': '139425.r1', 'torsion': [6]}
  • id: 6304158
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '139425.r1', 'torsion': [2, 2]}
  • id: 6304159
    {'degree': 6, 'field': [172221, 4479, -1985, 370, 35, -1, 1], 'lmfdb_label': '139425.r1', 'torsion': [3]}
  • id: 6304161
    {'degree': 12, 'field': [-2278379991, -1465660712, -7943868, 146086390, 13647655, -5700972, -669404, 79204, 4905, -860, -8, -6, 1], 'lmfdb_label': '139425.r1', 'torsion': [4]}
  • id: 6304163
    {'degree': 12, 'field': [594441, -386271, 220161, 33930, -31355, 17869, 1466, -1121, 325, 50, -19, -1, 1], 'lmfdb_label': '139425.r1', 'torsion': [2, 6]}
  • id: 6304162
    {'degree': 12, 'field': [17405584, 0, -6648412, 0, 1202445, 0, -87725, 0, 3900, 0, -97, 0, 1], 'lmfdb_label': '139425.r1', 'torsion': [3, 3]}
  • id: 6304164
    {'degree': 18, 'field': [-1739018889, -4396923405, -2687140899, 808265844, 418035330, -626844825, -3719925, 155301840, -50528745, 4320240, 2335221, -1053630, 179536, -2616, -4170, 799, -30, -6, 1], 'lmfdb_label': '139425.r1', 'torsion': [9]}
  • id: 6304165
    {'degree': 18, 'field': [158212144, 293254176, 234480344, 63549472, 29073480, 2453846, 8230859, 974781, -1303297, -130610, 79379, 17061, -2656, -1033, 1245, -218, 53, -3, 1], 'lmfdb_label': '139425.r1', 'torsion': [6]}
• 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: 3442696
    {'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '139425.r1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3442697
    {'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '139425.r1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3442698
    {'conductor': 139425, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '139425.r1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3442699
    {'conductor': 139425, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '139425.r1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2570248
    {'adelic_gens': [[385, 6, 384, 7], [3, 4, 8, 11], [4, 3, 9, 7], [261, 182, 130, 157], [1, 0, 6, 1], [66, 91, 13, 144], [89, 0, 0, 389], [1, 6, 0, 1]], 'adelic_image': '390.16.0.?', 'conductor': 139425, 'lmfdb_label': '139425.r1', 'prime': 0}
  • id: 539203
    {'conductor': 139425, 'elladic_image': '3.4.0.1', 'lmfdb_label': '139425.r1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 139425.r does not appear in ec_padic