Elliptic curve data - 26520.u2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '26520y', 'Clabel': '26520y2', 'Cnumber': 2, 'abc_quality': 0.9741860948903959, 'absD': 3332636330400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1768, 'ainvs': [0, 1, 0, -193136, 93646560], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 26520, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2393375922581837715701781561', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [-389032340685029858, 1627263833203125], 'lmfdb_iso': '26520.u', 'lmfdb_label': '26520.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -193136, 93646560], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.c.1', '104.6.0.?', '1768.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4973892057467011984413475720', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6039526767449005712710487114', 'prec': 100}, 'szpiro_ratio': 4.931896794401658, '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, 1, 0, -1, 0, 0, 0, 1, 0, 2, 0, -1, 0, -1, 0, -1, 0, -8, 0], 'aplist': [0, 1, -1, 0, 2, -1, -1, -8, 6, 0, -4, 2, 4, -4, 0, -6, 4, 8, 8, -4, 0, 10, 8, 6, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 26520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '26520.u', 'trace_hash': 816521080561129856}
• 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': '0.011348437786131776959915698520', 'prec': 107}, 'conductor': 26520, 'gens': [[19, 9486, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4973892057467011984413475720', 'prec': 100}], 'lmfdb_label': '26520.u2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21889417010509637212860662525', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1244648618115704521324107226176208740', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-593, 0, 1]], 'xcoord_integral_points': [-593, 19]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '26520.u2'}
• ec_torsion_growth •

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

  
  
  • id: 1331106
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '26520.u2', 'torsion': [2, 2]}
  • id: 1331107
    {'degree': 4, 'field': [-26, 0, 7, 0, 1], 'lmfdb_label': '26520.u2', 'torsion': [4]}
  • id: 1331110
    {'degree': 8, 'field': [-1875, 0, -700, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '26520.u2', 'torsion': [6]}
  • id: 1331109
    {'degree': 8, 'field': [26586, 1280, -1104, -384, 273, -100, 38, -4, 1], 'lmfdb_label': '26520.u2', 'torsion': [2, 4]}
  • id: 1331108
    {'degree': 8, 'field': [55592, -9856, 10356, -1012, 537, -40, 18, -4, 1], 'lmfdb_label': '26520.u2', 'torsion': [2, 4]}
  • id: 1331111
    {'degree': 16, 'field': [585918, -3823212, -9883240, 11588924, 9757783, -11514740, 531143, 1436440, 61069, -64724, 11232, 3428, 385, -36, 21, 0, 1], 'lmfdb_label': '26520.u2', 'torsion': [8]}
  • id: 1331112
    {'degree': 16, 'field': [138310353801, 0, 66292058808, 0, 10556052228, 0, 831525056, 0, 35927870, 0, 998456, 0, 18628, 0, 208, 0, 1], 'lmfdb_label': '26520.u2', '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: 611033
    {'conductor': 26520, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '26520.u2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 611034
    {'conductor': 26520, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '26520.u2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 611035
    {'conductor': 26520, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '26520.u2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 611036
    {'conductor': 26520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '26520.u2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 611037
    {'conductor': 26520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '26520.u2', 'prime': 17, 'reduction_type': -1, '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: 1840991
    {'adelic_gens': [[1226, 1, 271, 0], [1, 2, 2, 5], [1548, 225, 1105, 664], [1, 4, 0, 1], [1765, 4, 1764, 5], [2, 1, 883, 0], [1, 0, 4, 1], [3, 4, 8, 11], [105, 4, 210, 9]], 'adelic_image': '1768.12.0.?', 'conductor': 26520, 'lmfdb_label': '26520.u2', 'prime': 0}
  • id: 120370
    {'conductor': 26520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '26520.u2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1266568
    {'lmfdb_iso': '26520.u', 'p': 11, 'prec': 20, 'unit': 56092722265054840512, 'val': 1}
  • id: 1266569
    {'lmfdb_iso': '26520.u', 'p': 19, 'prec': 20, 'unit': 301422434290298506577019, 'val': 1}
  • id: 1266571
    {'lmfdb_iso': '26520.u', 'p': 23, 'prec': 20, 'unit': 52695940094576060324033476, 'val': 1}
  • id: 1266575
    {'lmfdb_iso': '26520.u', 'p': 31, 'prec': 20, 'unit': 19515333853344126456482233875, 'val': 1}
  • id: 1266563
    {'lmfdb_iso': '26520.u', 'p': 37, 'prec': 20, 'unit': 299900066063764629347293487767, 'val': 1}
  • id: 1266565
    {'lmfdb_iso': '26520.u', 'p': 41, 'prec': 20, 'unit': 1248963684506534221488972283751, 'val': 1}
  • id: 1266566
    {'lmfdb_iso': '26520.u', 'p': 43, 'prec': 20, 'unit': 9390333906722188073844301553931, 'val': 1}
  • id: 1266570
    {'lmfdb_iso': '26520.u', 'p': 53, 'prec': 20, 'unit': 228738949519875405351789433134246, 'val': 1}
  • id: 1266573
    {'lmfdb_iso': '26520.u', 'p': 59, 'prec': 20, 'unit': 1568776063292573216069352885800707, 'val': 1}
  • id: 1266574
    {'lmfdb_iso': '26520.u', 'p': 61, 'prec': 20, 'unit': 6087897297965690707678994828162438, 'val': 1}
  • id: 1266562
    {'lmfdb_iso': '26520.u', 'p': 67, 'prec': 20, 'unit': 31134524780646208717742426944450503, 'val': 1}
  • id: 1266564
    {'lmfdb_iso': '26520.u', 'p': 71, 'prec': 20, 'unit': 84010334491845474623079987081567554, 'val': 1}
  • id: 1266567
    {'lmfdb_iso': '26520.u', 'p': 79, 'prec': 20, 'unit': 759353329679268009679443164702521334, 'val': 1}
  • id: 1266561
    {'lmfdb_iso': '26520.u', 'p': 83, 'prec': 20, 'unit': 239521146585216995058242551437213369, 'val': 1}
  • id: 1266572
    {'lmfdb_iso': '26520.u', 'p': 89, 'prec': 20, 'unit': 55169185269012217349546624866283087, 'val': 1}
  • id: 1266560
    {'lmfdb_iso': '26520.u', 'p': 97, 'prec': 20, 'unit': 44788809681935303743013865065206219957, 'val': 1}