Elliptic curve data - 26460.i2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '26460e', 'Clabel': '26460e2', 'Cnumber': 2, 'abc_quality': 1.0461891924337403, 'absD': 196155400303643760, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 210, 'ainvs': [0, 0, 0, 117747, 14567553], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 26460, 'degree': 186624, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0047292140646757228340034760', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [541416192, 588245], 'lmfdb_iso': '26460.i', 'lmfdb_label': '26460.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 267, 1573], 'min_quad_twist_disc': 21, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '30.8.0.b.1', '210.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.815272023949879858824853624', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6615], [3, 4, 980], [5, 6, 5292], [7, 32, 540]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20633618526206324997005840339', 'prec': 107}, 'szpiro_ratio': 4.580251390733592, '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, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, -1, 0, 0, 4, 3, 1, -3, 6, 1, -4, 6, -10, 0, -9, -6, 1, -10, -6, -2, -13, -9, 0, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 26460, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '26460.i', 'trace_hash': 65278698510550842}
• 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': '0.018143218433324039236396831675', 'prec': 107}, 'conductor': 26460, 'gens': [[1910944, 3012724477, 53]], 'heights': [{'__RealLiteral__': 0, 'data': '12.815272023949879858824853624', 'prec': 100}], 'lmfdb_label': '26460.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21105508049186637384124840861', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4094565370798103796081838469528476121', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a', '11': [3, 1, 0], '13': [1, 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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '26460.i2'}
• ec_torsion_growth •

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

  
  
  • id: 1328600
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '26460.i2', 'torsion': [3]}
  • id: 1328601
    {'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '26460.i2', 'torsion': [2]}
  • id: 1328602
    {'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '26460.i2', 'torsion': [2, 2]}
  • id: 1328604
    {'degree': 6, 'field': [25, -63, 36, 4, -3, -3, 1], 'lmfdb_label': '26460.i2', 'torsion': [6]}
  • id: 1328603
    {'degree': 6, 'field': [8558, -822, -252, 167, 9, -3, 1], 'lmfdb_label': '26460.i2', 'torsion': [3]}
  • id: 1328605
    {'degree': 12, 'field': [-84605, 98190, 9024, 30784, 2388, 2892, 414, 666, -63, -2, 6, -6, 1], 'lmfdb_label': '26460.i2', 'torsion': [4]}
  • id: 1328607
    {'degree': 12, 'field': [1225, -1470, -84, 469, 627, -645, 9, 93, 33, -17, -6, 0, 1], 'lmfdb_label': '26460.i2', 'torsion': [2, 6]}
  • id: 1328606
    {'degree': 12, 'field': [92764, -19992, 4932, 29360, -12720, -2532, 1181, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '26460.i2', 'torsion': [3, 3]}
  • id: 1328608
    {'degree': 18, 'field': [10269, 39816, -29841, -65457, 165781, -155477, 21547, 89793, -113883, 78840, -36838, 13811, -2659, -819, 495, -162, 49, -5, 1], 'lmfdb_label': '26460.i2', 'torsion': [9]}
  • id: 1328609
    {'degree': 18, 'field': [1342712, -2480184, 1424592, 2973888, -1769832, -983952, 1219410, -576954, 233658, -93539, 28089, -4806, 480, -252, 324, -168, 54, -9, 1], 'lmfdb_label': '26460.i2', '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: 609775
    {'conductor': 26460, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '26460.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 609776
    {'conductor': 26460, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '26460.i2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 609777
    {'conductor': 26460, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26460.i2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 609778
    {'conductor': 26460, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '26460.i2', 'prime': 7, '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: 1840671
    {'adelic_gens': [[127, 126, 21, 169], [174, 119, 77, 6], [1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [179, 0, 0, 209], [1, 6, 0, 1], [205, 6, 204, 7]], 'adelic_image': '210.16.0.?', 'conductor': 26460, 'lmfdb_label': '26460.i2', 'prime': 0}
  • id: 120158
    {'conductor': 26460, 'elladic_image': '3.4.0.1', 'lmfdb_label': '26460.i2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1264135
    {'lmfdb_iso': '26460.i', 'p': 13, 'prec': 20, 'unit': 1169278476335149228419, 'val': 1}
  • id: 1264137
    {'lmfdb_iso': '26460.i', 'p': 17, 'prec': 20, 'unit': 221325168648545304541134, 'val': 1}
  • id: 1264127
    {'lmfdb_iso': '26460.i', 'p': 19, 'prec': 20, 'unit': 23241488271218931661036842, 'val': -1}
  • id: 1264141
    {'lmfdb_iso': '26460.i', 'p': 23, 'prec': 20, 'unit': 38439126755232629594987572, 'val': 1}
  • id: 1264134
    {'lmfdb_iso': '26460.i', 'p': 29, 'prec': 20, 'unit': 5750706083119345570643264314, 'val': 1}
  • id: 1264144
    {'lmfdb_iso': '26460.i', 'p': 31, 'prec': 20, 'unit': 35088768272351392086140555541, 'val': -1}
  • id: 1264130
    {'lmfdb_iso': '26460.i', 'p': 37, 'prec': 20, 'unit': 278717891984474900497797318211, 'val': 1}
  • id: 1264132
    {'lmfdb_iso': '26460.i', 'p': 41, 'prec': 20, 'unit': 853693562269724876068770238766, 'val': 1}
  • id: 1264133
    {'lmfdb_iso': '26460.i', 'p': 43, 'prec': 20, 'unit': 6401910511795877602894146844313, 'val': 1}
  • id: 1264139
    {'lmfdb_iso': '26460.i', 'p': 53, 'prec': 20, 'unit': 131951299894441097404102337458605, 'val': 1}
  • id: 1264142
    {'lmfdb_iso': '26460.i', 'p': 59, 'prec': 20, 'unit': 2650517675168406904001765493760539, 'val': 1}
  • id: 1264143
    {'lmfdb_iso': '26460.i', 'p': 61, 'prec': 20, 'unit': 29554287820869791272572246264268152, 'val': -1}
  • id: 1264129
    {'lmfdb_iso': '26460.i', 'p': 67, 'prec': 20, 'unit': 568875257812331042337784834784102, 'val': 2}
  • id: 1264131
    {'lmfdb_iso': '26460.i', 'p': 71, 'prec': 20, 'unit': 79625529636083083821896377875608736, 'val': 1}
  • id: 1264140
    {'lmfdb_iso': '26460.i', 'p': 73, 'prec': 20, 'unit': 103250204223381637471852946872118783, 'val': 1}
  • id: 1264136
    {'lmfdb_iso': '26460.i', 'p': 79, 'prec': 20, 'unit': 983518872317432502385611370559716205, 'val': 1}
  • id: 1264138
    {'lmfdb_iso': '26460.i', 'p': 83, 'prec': 20, 'unit': 942445842231275893721767445187402030, 'val': 1}
  • id: 1264128
    {'lmfdb_iso': '26460.i', 'p': 97, 'prec': 20, 'unit': 126310113536350685788239525064626686, 'val': 1}