Elliptic curve data - 25168.j1

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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': '25168h', 'Clabel': '25168h1', 'Cnumber': 1, 'abc_quality': 0.9655917770548856, 'absD': 47166040064, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 104, 'ainvs': [0, -1, 0, -1976, -34736], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 25168, 'degree': 22400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.80591602983082946221681185065', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [-235298, 13], 'lmfdb_iso': '25168.j', 'lmfdb_label': '25168.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -16, -32], 'min_quad_twist_disc': 44, 'modell_images': [], 'modm_images': ['104.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4125552518931300413298533427', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1573], [11, 62, 208], [13, 14, 1936]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0284165220816390101132893830', 'prec': 103}, 'szpiro_ratio': 3.4018222299064322, '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, 0, -1, 0, 5, 0, -2, 0, 0, 0, 1, 0, 1, 0, 3, 0, -2, 0], 'aplist': [0, -1, -1, 5, 0, 1, 3, -2, -4, 6, 4, 11, -8, -1, -9, -12, -6, 0, -6, -7, 2, 12, -16, -10, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 25168, 'isogeny_matrix': [[1]], 'lmfdb_iso': '25168.j', 'trace_hash': 286366820183978660}
• 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': '0.19952174329141965692883145870', 'prec': 103}, 'conductor': 25168, 'gens': [[642, 16214, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4125552518931300413298533427', 'prec': 100}], 'lmfdb_label': '25168.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35687218846525802222289798538', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8713842440068446689603052848586175191', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [642]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '25168.j1'}
• ec_torsion_growth •

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

  
  
  • id: 1265157
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '25168.j1', 'torsion': [2]}
  • id: 1265158
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '25168.j1', 'torsion': [2, 2]}
  • id: 1265159
    {'degree': 8, 'field': [-27594, -18360, -11538, -4536, -792, -102, -12, 0, 1], 'lmfdb_label': '25168.j1', 'torsion': [3]}
  • id: 1265160
    {'degree': 12, 'field': [-677738, 774382, -445604, 29766, 120828, -76862, 12324, 1850, -725, 189, 4, -1, 1], 'lmfdb_label': '25168.j1', 'torsion': [4]}
• 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: 577463
    {'conductor': 25168, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '25168.j1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 577464
    {'conductor': 25168, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '25168.j1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 577465
    {'conductor': 25168, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25168.j1', 'prime': 13, 'reduction_type': 1, '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

  
  {'adelic_gens': [[41, 2, 41, 3], [1, 2, 0, 1], [53, 2, 53, 3], [1, 0, 2, 1], [103, 2, 102, 3], [1, 1, 103, 0], [79, 2, 79, 3]], 'adelic_image': '104.2.0.?', 'conductor': 25168, 'lmfdb_label': '25168.j1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1197063
    {'lmfdb_iso': '25168.j', 'p': 5, 'prec': 20, 'unit': 17946272585506, 'val': 1}
  • id: 1197064
    {'lmfdb_iso': '25168.j', 'p': 7, 'prec': 20, 'unit': 5069194650664628, 'val': 1}
  • id: 1197069
    {'lmfdb_iso': '25168.j', 'p': 17, 'prec': 20, 'unit': 72316099871844182298493, 'val': 1}
  • id: 1197060
    {'lmfdb_iso': '25168.j', 'p': 19, 'prec': 20, 'unit': 626802527010956213678936, 'val': 1}
  • id: 1197074
    {'lmfdb_iso': '25168.j', 'p': 23, 'prec': 20, 'unit': 22049197739975923234778538, 'val': 1}
  • id: 1197078
    {'lmfdb_iso': '25168.j', 'p': 29, 'prec': 20, 'unit': 6080733110606384409360520699, 'val': 1}
  • id: 1197065
    {'lmfdb_iso': '25168.j', 'p': 31, 'prec': 20, 'unit': 10954716622436593196129139685, 'val': 1}
  • id: 1197079
    {'lmfdb_iso': '25168.j', 'p': 37, 'prec': 20, 'unit': 189178457032645770965650155345, 'val': 1}
  • id: 1197066
    {'lmfdb_iso': '25168.j', 'p': 41, 'prec': 20, 'unit': 4020805707913329919150374017841, 'val': 1}
  • id: 1197067
    {'lmfdb_iso': '25168.j', 'p': 43, 'prec': 20, 'unit': 6238102546174316785623613802617, 'val': 1}
  • id: 1197077
    {'lmfdb_iso': '25168.j', 'p': 47, 'prec': 20, 'unit': 45597619889715940026780407308933, 'val': 1}
  • id: 1197071
    {'lmfdb_iso': '25168.j', 'p': 53, 'prec': 20, 'unit': 94025945516144891165196802566599, 'val': 1}
  • id: 1197072
    {'lmfdb_iso': '25168.j', 'p': 59, 'prec': 20, 'unit': 2231266926012530934466471581411866, 'val': 1}
  • id: 1197062
    {'lmfdb_iso': '25168.j', 'p': 67, 'prec': 20, 'unit': 32503139602757779798637104792033448, 'val': 1}
  • id: 1197076
    {'lmfdb_iso': '25168.j', 'p': 71, 'prec': 20, 'unit': 70943621181076930246350378617237821, 'val': 1}
  • id: 1197073
    {'lmfdb_iso': '25168.j', 'p': 73, 'prec': 20, 'unit': 199316383486165540952070047843240331, 'val': 1}
  • id: 1197068
    {'lmfdb_iso': '25168.j', 'p': 79, 'prec': 20, 'unit': 1070578233361537520647912700849234297, 'val': 1}
  • id: 1197070
    {'lmfdb_iso': '25168.j', 'p': 83, 'prec': 20, 'unit': 461008638133005223158690451885453918, 'val': 1}
  • id: 1197075
    {'lmfdb_iso': '25168.j', 'p': 89, 'prec': 20, 'unit': 3958114315207233397998457892196452330, 'val': 1}
  • id: 1197061
    {'lmfdb_iso': '25168.j', 'p': 97, 'prec': 20, 'unit': 53560505957677384896241823388196891146, 'val': 1}