Elliptic curve data - 95220.a1

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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': '95220c', 'Clabel': '95220c1', 'Cnumber': 1, 'abc_quality': 1.239581518021865, 'absD': 2394830610000, 'adelic_genus': 5, 'adelic_index': 96, 'adelic_level': 5520, 'ainvs': [0, 0, 0, -129168, 17868033], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 95220, 'degree': 359424, 'elladic_images': ['8.12.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5344720262394582168594742731', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [62200479744, 625], 'lmfdb_iso': '95220.a', 'lmfdb_label': '95220.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -129168, 17868033], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.z.1', '12.12.0.n.1', '24.24.0.es.1', '80.24.0.?', '92.12.0.?', '138.6.0.?', '184.24.0.?', '240.48.1.?', '276.24.0.?', '552.48.1.?', '1840.48.1.?', '5520.96.5.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68867984308796783354042740658', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 69], [3, 2, 10580], [5, 6, 19044], [23, 156, 180]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30440980443055991086105856970', 'prec': 107}, 'szpiro_ratio': 4.092850180315831, '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, -4, 0, 0, 0, -4, 0, 2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, -1, -4, -4, 2, -6, -4, 0, 0, -4, 0, 0, -4, 8, 6, 8, -8, 4, 0, -6, -12, -4, -2, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 95220, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '95220.a', 'trace_hash': 281149431287995219}
• 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': '0.046470199050318631753569473189', 'prec': 107}, 'conductor': 95220, 'gens': [[184, 575, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.68867984308796783354042740658', 'prec': 103}], 'lmfdb_label': '95220.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.73811399755000008689511310290', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0499453920826004025795041965352427481', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[207, 0, 1]], 'xcoord_integral_points': [-414, 184, 207, 208, 234, 96928]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [3, 1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '95220.a1'}
• ec_torsion_growth •

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

  
  
  • id: 4435907
    {'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '95220.a1', 'torsion': [2, 2]}
  • id: 4435908
    {'degree': 4, 'field': [276, 0, 0, 0, 1], 'lmfdb_label': '95220.a1', 'torsion': [4]}
  • id: 4435911
    {'degree': 8, 'field': [-1832, 125, 22, -295, 151, -7, 7, -4, 1], 'lmfdb_label': '95220.a1', 'torsion': [6]}
  • id: 4435909
    {'degree': 8, 'field': [289, -34, -206, -346, -245, 2, 4, -4, 1], 'lmfdb_label': '95220.a1', 'torsion': [2, 4]}
  • id: 4435910
    {'degree': 8, 'field': [289, 34, 2, -74, 43, -10, 8, -4, 1], 'lmfdb_label': '95220.a1', 'torsion': [2, 4]}
  • id: 4435913
    {'degree': 16, 'field': [36100, 0, -97312, 0, 120008, 0, -71152, 0, 41152, 0, -848, 0, 620, 0, -8, 0, 1], 'lmfdb_label': '95220.a1', 'torsion': [8]}
  • id: 4435912
    {'degree': 16, 'field': [83521, 9826, 578, 42840, -9907, -5962, 10354, -4026, 532, 780, -536, 190, -19, -12, 8, -4, 1], 'lmfdb_label': '95220.a1', 'torsion': [4, 4]}
  • id: 4435914
    {'degree': 16, 'field': [766000, -14915600, -13113100, -1053300, -745600, -746980, 255250, 66162, -24959, -3300, -1388, 994, 269, -72, -4, -4, 1], 'lmfdb_label': '95220.a1', 'torsion': [2, 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: 2334152
    {'conductor': 95220, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '95220.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2334153
    {'conductor': 95220, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '95220.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2334154
    {'conductor': 95220, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '95220.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2334155
    {'conductor': 95220, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '95220.a1', 'prime': 23, '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: 2290777
    {'adelic_gens': [[2656, 5, 531, 16], [4417, 16, 2216, 129], [1850, 9, 1811, 5494], [9, 4, 5396, 5465], [1, 16, 0, 1], [1, 4142, 2, 2075], [1, 16, 8, 1509], [13, 4, 5380, 5477], [1, 0, 16, 1], [11, 16, 5456, 5427], [5505, 16, 5504, 17]], 'adelic_image': '5520.96.5.?', 'conductor': 95220, 'lmfdb_label': '95220.a1', 'prime': 0}
  • id: 384632
    {'conductor': 95220, 'elladic_image': '8.12.0.34', 'lmfdb_label': '95220.a1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4949864
    {'lmfdb_iso': '95220.a', 'p': 7, 'prec': 20, 'unit': 7776980684424817, 'val': 1}
  • id: 4949869
    {'lmfdb_iso': '95220.a', 'p': 11, 'prec': 20, 'unit': 2419008209764866055, 'val': 1}
  • id: 4949867
    {'lmfdb_iso': '95220.a', 'p': 13, 'prec': 20, 'unit': 65134854677395824939, 'val': 2}
  • id: 4949870
    {'lmfdb_iso': '95220.a', 'p': 17, 'prec': 20, 'unit': 106076675985428098313995, 'val': 1}
  • id: 4949871
    {'lmfdb_iso': '95220.a', 'p': 19, 'prec': 20, 'unit': 173902415488559326780777, 'val': 1}
  • id: 4949877
    {'lmfdb_iso': '95220.a', 'p': 31, 'prec': 20, 'unit': 15659623593126859832904179066, 'val': 1}
  • id: 4949866
    {'lmfdb_iso': '95220.a', 'p': 43, 'prec': 20, 'unit': 9736274459287660465339627938868, 'val': 1}
  • id: 4949875
    {'lmfdb_iso': '95220.a', 'p': 47, 'prec': 20, 'unit': 29017823752354630538981650343344, 'val': 1}
  • id: 4949872
    {'lmfdb_iso': '95220.a', 'p': 53, 'prec': 20, 'unit': 66816079209111782110404863663117, 'val': 1}
  • id: 4949873
    {'lmfdb_iso': '95220.a', 'p': 59, 'prec': 20, 'unit': 3648773853189571641932132516187147, 'val': 1}
  • id: 4949876
    {'lmfdb_iso': '95220.a', 'p': 61, 'prec': 20, 'unit': 6996476475956192924357222326900857, 'val': 1}
  • id: 4949863
    {'lmfdb_iso': '95220.a', 'p': 67, 'prec': 20, 'unit': 31905041674823202139604986213342245, 'val': 1}
  • id: 4949865
    {'lmfdb_iso': '95220.a', 'p': 73, 'prec': 20, 'unit': 215356855845950849144178268161391477, 'val': 1}
  • id: 4949868
    {'lmfdb_iso': '95220.a', 'p': 79, 'prec': 20, 'unit': 135111004850535950839238541770287065, 'val': 1}
  • id: 4949862
    {'lmfdb_iso': '95220.a', 'p': 83, 'prec': 20, 'unit': 2295853485389950334080920259547797518, 'val': 1}
  • id: 4949874
    {'lmfdb_iso': '95220.a', 'p': 89, 'prec': 20, 'unit': 9270572079690033049789135578084035268, 'val': 1}
  • id: 4949861
    {'lmfdb_iso': '95220.a', 'p': 97, 'prec': 20, 'unit': 43398840068145347376681821392942776812, 'val': 1}