Elliptic curve data - 26010.u3

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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': '26010r', 'Clabel': '26010r6', 'Cnumber': 6, 'abc_quality': 1.0054946838642063, 'absD': 52132549362222389062500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 4080, 'ainvs': [1, -1, 0, -18779274, 29338404768], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 26010, 'degree': 2359296, 'elladic_images': ['8.48.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1060791029953268760054288758', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [41623544884956481, 2962701562500], 'lmfdb_iso': '26010.u', 'lmfdb_label': '26010.u3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -7220, -224143], 'min_quad_twist_disc': -51, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.k.2', '24.96.0-8.k.2.5', '80.96.0.?', '136.96.1.?', '204.24.0.?', '240.192.1.?', '272.192.1.?', '408.192.1.?', '816.384.5.?', '1360.384.5.?', '4080.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5705324693300592842884626442', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'szpiro_ratio': 6.084689948198603, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 1, 1, 0, 0, -1, 0, -1, 4, 0, -2, 0, 0, 1, 0, 0, 4, 1], 'aplist': [-1, 0, 1, 0, 4, -2, 0, 4, 0, -2, -8, -6, -6, -4, 0, 10, 4, 2, 4, 0, 6, -8, 12, 6, 14], 'class_deg': 16, 'class_size': 8, 'conductor': 26010, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 8, 4], [16, 1, 8, 4, 2, 4, 8, 16], [2, 8, 1, 2, 4, 8, 4, 2], [4, 4, 2, 1, 2, 4, 2, 4], [8, 2, 4, 2, 1, 2, 4, 8], [16, 4, 8, 4, 2, 1, 8, 16], [8, 8, 4, 2, 4, 8, 1, 8], [4, 16, 2, 4, 8, 16, 8, 1]], 'lmfdb_iso': '26010.u', 'trace_hash': 2081681306557338540}
• 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': '0.0020049057917404015484553701855', 'prec': 110}, 'conductor': 26010, 'gens': [[1917, 18549, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5705324693300592842884626442', 'prec': 100}], 'lmfdb_label': '26010.u3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11008537738979541926859929731', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5276485916627567259088625586526387911', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-4968, 2484, 1], [1968, -984, 1]], 'xcoord_integral_points': [-4968, -4593, 1917, 1968, 142422]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [4, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 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': '26010.u3'}
• ec_torsion_growth •

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

  
  
  • id: 1309043
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 4]}
  • id: 1309047
    {'degree': 4, 'field': [49, 0, -20, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 8]}
  • id: 1309044
    {'degree': 4, 'field': [100, 0, -14, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 4]}
  • id: 1309045
    {'degree': 4, 'field': [100, 0, 14, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 4]}
  • id: 1309046
    {'degree': 4, 'field': [169, 0, -25, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 8]}
  • id: 1309049
    {'degree': 8, 'field': [-81650, 9725, -10700, 1949, -971, -7, 7, -4, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 6]}
  • id: 1309048
    {'degree': 8, 'field': [625, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [4, 8]}
  • id: 1309053
    {'degree': 16, 'field': [900, 0, 37451760, 0, 1142765896, 0, 358238112, 0, 35849184, 0, 1586776, 0, 33204, 0, 312, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 16]}
  • id: 1309050
    {'degree': 16, 'field': [1710864, 0, -2040576, 0, 760336, 0, -89248, 0, -1668, 0, 2032, 0, 108, 0, 8, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 8]}
  • id: 1309051
    {'degree': 16, 'field': [2085136, 0, 1132096, 0, 481808, 0, 95232, 0, 13292, 0, -2304, 0, -28, 0, -8, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 8]}
  • id: 1309052
    {'degree': 16, 'field': [5107600, 0, 2541520, 0, 332936, 0, -49128, 0, 33944, 0, -6324, 0, 674, 0, -38, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 16]}
  • id: 1309055
    {'degree': 16, 'field': [738752400, 0, -394905075, 0, 116921650, 0, -19202901, 0, 1873107, 0, -115961, 0, 4551, 0, -102, 0, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 12]}
  • id: 1309054
    {'degree': 16, 'field': [807651505, 1607077600, -607334364, -1779953448, 363403728, 570680424, -91546724, -78003632, 11465865, 5064792, -725040, -151992, 21146, 1904, -252, -8, 1], 'lmfdb_label': '26010.u3', 'torsion': [2, 16]}
• 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: 599266
    {'conductor': 26010, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '26010.u3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 599267
    {'conductor': 26010, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '26010.u3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 599268
    {'conductor': 26010, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '26010.u3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 599269
    {'conductor': 26010, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '26010.u3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1837828
    {'adelic_gens': [[4065, 16, 4064, 17], [1, 16, 0, 1], [1, 8, 0, 511], [3273, 8, 772, 4041], [2719, 4072, 0, 4079], [1, 16, 4, 65], [1, 0, 16, 1], [947, 4072, 550, 43], [9, 16, 194, 3405]], 'adelic_image': '4080.768.13.?', 'conductor': 26010, 'lmfdb_label': '26010.u3', 'prime': 0}
  • id: 118548
    {'conductor': 26010, 'elladic_image': '8.48.0.91', 'lmfdb_label': '26010.u3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1240670
    {'lmfdb_iso': '26010.u', 'p': 11, 'prec': 20, 'unit': 14540706501119824345, 'val': 1}
  • id: 1240668
    {'lmfdb_iso': '26010.u', 'p': 13, 'prec': 20, 'unit': 1386662168664975671697, 'val': 1}
  • id: 1240671
    {'lmfdb_iso': '26010.u', 'p': 19, 'prec': 20, 'unit': 319462330873918362457094, 'val': 1}
  • id: 1240667
    {'lmfdb_iso': '26010.u', 'p': 29, 'prec': 20, 'unit': 3176255779378756067097041603, 'val': 1}
  • id: 1240677
    {'lmfdb_iso': '26010.u', 'p': 31, 'prec': 20, 'unit': 98073658405944038912724105, 'val': 1}
  • id: 1240664
    {'lmfdb_iso': '26010.u', 'p': 37, 'prec': 20, 'unit': 40709137993086115219686416983, 'val': 1}
  • id: 1240665
    {'lmfdb_iso': '26010.u', 'p': 41, 'prec': 20, 'unit': 2606738858110557104964381867194, 'val': 1}
  • id: 1240666
    {'lmfdb_iso': '26010.u', 'p': 43, 'prec': 20, 'unit': 8515848185507408279737069564587, 'val': 1}
  • id: 1240672
    {'lmfdb_iso': '26010.u', 'p': 53, 'prec': 20, 'unit': 357631664352543613225212595725955, 'val': 1}
  • id: 1240675
    {'lmfdb_iso': '26010.u', 'p': 59, 'prec': 20, 'unit': 2440242890335944190317805267714745, 'val': 1}
  • id: 1240676
    {'lmfdb_iso': '26010.u', 'p': 61, 'prec': 20, 'unit': 3666484944145292027515704110644211, 'val': 1}
  • id: 1240663
    {'lmfdb_iso': '26010.u', 'p': 67, 'prec': 20, 'unit': 21727285077443788351740456699975948, 'val': 1}
  • id: 1240673
    {'lmfdb_iso': '26010.u', 'p': 73, 'prec': 20, 'unit': 99077431955211954275954926987681887, 'val': 1}
  • id: 1240669
    {'lmfdb_iso': '26010.u', 'p': 79, 'prec': 20, 'unit': 28588936440339545907627965669251749, 'val': 1}
  • id: 1240662
    {'lmfdb_iso': '26010.u', 'p': 83, 'prec': 20, 'unit': 1966914370332107818886151373128935081, 'val': 1}
  • id: 1240674
    {'lmfdb_iso': '26010.u', 'p': 89, 'prec': 20, 'unit': 4892779748447049334080870817683117883, 'val': 1}
  • id: 1240661
    {'lmfdb_iso': '26010.u', 'p': 97, 'prec': 20, 'unit': 18691101252191660045238855839438926018, 'val': 1}