Elliptic curve data - 115920.ee1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '115920cs', 'Clabel': '115920cs1', 'Cnumber': 1, 'absD': 935168371200000, 'ainvs': [0, 0, 0, -66387, 6417234], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 115920, 'degree': 552960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6505796560094825319877263799', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 108, 'isogeny_degrees': [1, 2], 'jinv': [292583028222603, 8456021875], 'lmfdb_iso': '115920.ee', 'lmfdb_label': '115920.ee1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4149, -99232], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27918067628808848062129021790', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68277940328250979972168294921', 'prec': 103}, '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, 0, 0, 0, 1, 0, 1, 0, 0, 0, -4, 0, 4, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 1, 1, -4, 4, 6, -4, 1, -4, 8, 2, 2, 0, 0, -8, -10, -8, 4, 8, 0, -6, -6, 14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 115920, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '115920.ee', 'trace_hash': 1662479451098492820}
• 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': '0.036840433077967802980930995279', 'prec': 107}, 'conductor': 115920, 'gens': [[73, 1400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.27918067628808848062129021790', 'prec': 103}], 'lmfdb_label': '115920.ee1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49458239733379531313218469032', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2846708900699838733482009401522415919', 'prec': 130}, 'tamagawa_product': 240, 'torsion_generators': [[129, 0, 1]], 'xcoord_integral_points': [-207, 73, 129, 178, 183, 423, 49815]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '115920.ee1'}
• ec_torsion_growth •

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

  
  
  • id: 5312900
    {'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '115920.ee1', 'torsion': [2, 2]}
  • id: 5312901
    {'degree': 4, 'field': [22, -2, 3, -2, 1], 'lmfdb_label': '115920.ee1', 'torsion': [4]}
  • id: 5312904
    {'degree': 8, 'field': [-3, 0, -33, 0, 69, 0, 15, 0, 1], 'lmfdb_label': '115920.ee1', 'torsion': [6]}
  • id: 5312902
    {'degree': 8, 'field': [7056, 0, -3636, 0, -2919, 0, -6, 0, 1], 'lmfdb_label': '115920.ee1', 'torsion': [2, 4]}
  • id: 5312903
    {'degree': 8, 'field': [280420, 2240, -2456, 416, -167, -52, 22, -4, 1], 'lmfdb_label': '115920.ee1', 'torsion': [2, 4]}
  • id: 5312906
    {'degree': 16, 'field': [1423900905, 501011760, -835546185, -241382010, 192442380, 41106750, -23926299, -2816922, 2004055, 90910, -104357, -758, 3208, 10, -65, -2, 1], 'lmfdb_label': '115920.ee1', 'torsion': [2, 6]}
  • id: 5312905
    {'degree': 16, 'field': [4949588547856, 2029693990848, 647573935744, -77940273152, -17886720320, -9892351392, 1032387328, -172647840, 29165704, 234800, 1179808, 15232, 7280, 952, 64, -8, 1], 'lmfdb_label': '115920.ee1', '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: 2850447
    {'conductor': 115920, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '115920.ee1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2850448
    {'conductor': 115920, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '115920.ee1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2850449
    {'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '115920.ee1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 2850450
    {'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '115920.ee1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2850451
    {'conductor': 115920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '115920.ee1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 115920, 'elladic_image': '2.3.0.1', 'lmfdb_label': '115920.ee1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6051935
    {'lmfdb_iso': '115920.ee', 'p': 11, 'prec': 20, 'unit': 23213272660301757720, 'val': 1}
  • id: 6051937
    {'lmfdb_iso': '115920.ee', 'p': 13, 'prec': 20, 'unit': 72296463362093873004, 'val': 1}
  • id: 6051939
    {'lmfdb_iso': '115920.ee', 'p': 17, 'prec': 20, 'unit': 205645187509810415910908, 'val': 1}
  • id: 6051929
    {'lmfdb_iso': '115920.ee', 'p': 19, 'prec': 20, 'unit': 812310078236516979099116, 'val': 1}
  • id: 6051936
    {'lmfdb_iso': '115920.ee', 'p': 29, 'prec': 20, 'unit': 4582207721282029082928112026, 'val': 1}
  • id: 6051945
    {'lmfdb_iso': '115920.ee', 'p': 31, 'prec': 20, 'unit': 17945109770817623122616246207, 'val': 1}
  • id: 6051932
    {'lmfdb_iso': '115920.ee', 'p': 37, 'prec': 20, 'unit': 284578539187427534519860578325, 'val': 1}
  • id: 6051934
    {'lmfdb_iso': '115920.ee', 'p': 41, 'prec': 20, 'unit': 3819620646717297095330199443419, 'val': 1}
  • id: 6051941
    {'lmfdb_iso': '115920.ee', 'p': 53, 'prec': 20, 'unit': 448498612719501196028630731218303, 'val': 1}
  • id: 6051943
    {'lmfdb_iso': '115920.ee', 'p': 59, 'prec': 20, 'unit': 2638088318312246868128173400365319, 'val': 1}
  • id: 6051944
    {'lmfdb_iso': '115920.ee', 'p': 61, 'prec': 20, 'unit': 6590525827681538958195211904607742, 'val': 1}
  • id: 6051931
    {'lmfdb_iso': '115920.ee', 'p': 67, 'prec': 20, 'unit': 19832470345653007715770426337721057, 'val': 1}
  • id: 6051933
    {'lmfdb_iso': '115920.ee', 'p': 71, 'prec': 20, 'unit': 12845680627575074756673942293097600, 'val': 1}
  • id: 6051938
    {'lmfdb_iso': '115920.ee', 'p': 79, 'prec': 20, 'unit': 515380724111847591131063682515847668, 'val': 1}
  • id: 6051940
    {'lmfdb_iso': '115920.ee', 'p': 83, 'prec': 20, 'unit': 751994915575527855745757839085800792, 'val': 1}
  • id: 6051942
    {'lmfdb_iso': '115920.ee', 'p': 89, 'prec': 20, 'unit': 5847820100032190373083212219788126957, 'val': 1}
  • id: 6051930
    {'lmfdb_iso': '115920.ee', 'p': 97, 'prec': 20, 'unit': 52082442421757775176949517748858618087, 'val': 1}