Elliptic curve data - 1274.j2

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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': '1274i', 'Clabel': '1274i2', 'Cnumber': 2, 'abc_quality': 0.9406702804397424, 'absD': 709254996632, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [1, 1, 1, -9458, 352407], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1274, 'degree': 1728, 'elladic_images': ['3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1041061034061391686192378746', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [-795309684625, 6028568], 'lmfdb_iso': '1274.j', 'lmfdb_label': '1274.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -193, -1055], 'min_quad_twist_disc': -7, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '21.24.0-3.a.1.1', '312.24.0.?', '728.2.0.?', '819.72.0.?', '2184.48.1.?', '6552.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.28964566643178040395132684515', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 2, 49], [7, 32, 26], [13, 14, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13115102887848251606656150288', 'prec': 103}, 'szpiro_ratio': 5.467262440229313, '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, 1, -1, 1, 0, -1, 0, 1, -2, 0, -3, -1, -1, 0, 0, 1, 0, -2, -2, 0], 'aplist': [1, -1, 0, 0, -3, -1, 0, -2, -3, 0, -5, -7, -3, 8, 3, -12, -6, 1, 5, 12, -11, -1, -12, 18, -17], 'class_deg': 9, 'class_size': 3, 'conductor': 1274, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '1274.j', 'trace_hash': 266863015665973946}
• 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': '0.10989694600498940194696417267', 'prec': 103}, 'conductor': 1274, 'gens': [[27, 329, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.28964566643178040395132684515', 'prec': 103}], 'lmfdb_label': '1274.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.90843259190521391125199783964', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1574827618888234043092070421687216772', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-105, 27, 55]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': [3, 1, 0], '7': 'a', '11': [3, 0], '13': [1, 0], '17': [3, 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, 0]}, 'iwp0': 0, 'lmfdb_label': '1274.j2'}
• ec_torsion_growth •

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

  
  
  • id: 63109
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '1274.j2', 'torsion': [3]}
  • id: 63110
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '1274.j2', 'torsion': [3]}
  • id: 63111
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '1274.j2', 'torsion': [2]}
  • id: 63112
    {'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '1274.j2', 'torsion': [3, 3]}
  • id: 63115
    {'degree': 6, 'field': [16, 10, -10, -1, 3, -3, 1], 'lmfdb_label': '1274.j2', 'torsion': [6]}
  • id: 63114
    {'degree': 6, 'field': [43, 41, -2, 7, -2, -3, 1], 'lmfdb_label': '1274.j2', 'torsion': [6]}
  • id: 63113
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '1274.j2', 'torsion': [2, 2]}
  • id: 63116
    {'degree': 12, 'field': [-11392, 22656, -21024, 7488, -716, 2780, -1375, 20, -101, 100, -1, -4, 1], 'lmfdb_label': '1274.j2', 'torsion': [4]}
  • id: 63117
    {'degree': 12, 'field': [256, 160, 260, -68, 62, -98, 93, -53, 16, -7, 6, -3, 1], 'lmfdb_label': '1274.j2', 'torsion': [3, 6]}
  • id: 63119
    {'degree': 12, 'field': [4900, 0, 3108, 0, -2007, 0, 384, 0, 2, 0, 12, 0, 1], 'lmfdb_label': '1274.j2', 'torsion': [2, 6]}
  • id: 63118
    {'degree': 12, 'field': [22663, -35434, 34389, -5854, 728, 3438, 121, -186, 212, -14, 9, -2, 1], 'lmfdb_label': '1274.j2', 'torsion': [2, 6]}
  • id: 63120
    {'degree': 18, 'field': [8150667, -41457339, 51416568, -331506, 4096155, -12282984, -18046895, 4230366, -2044908, 1136520, -73692, 54810, -11710, -462, -936, -21, -3, 0, 1], 'lmfdb_label': '1274.j2', 'torsion': [9]}
  • id: 63121
    {'degree': 18, 'field': [8661632, -9643200, 24832416, -14810320, 11677680, -6676320, 5113816, -2501784, 1169586, -325817, 33489, 10164, -1280, -630, 414, -180, 54, -9, 1], 'lmfdb_label': '1274.j2', 'torsion': [9]}
• 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: 18919
    {'conductor': 1274, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1274.j2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 18920
    {'conductor': 1274, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '1274.j2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 18921
    {'conductor': 1274, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1274.j2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1672553
    {'adelic_gens': [[10, 9, 3267, 6544], [1, 18, 0, 1], [3740, 6543, 4689, 20], [4915, 3294, 0, 4187], [1, 9, 9, 82], [1516, 9, 1503, 6532], [1, 6, 6, 37], [1639, 18, 0, 1], [1, 0, 18, 1], [1, 12, 0, 1], [6535, 18, 6534, 19]], 'adelic_image': '6552.144.3.?', 'conductor': 1274, 'lmfdb_label': '1274.j2', 'prime': 0}
  • id: 6088
    {'conductor': 1274, 'elladic_image': '3.12.0.1', 'lmfdb_label': '1274.j2', 'modell_image': '3Cs', 'prime': 3}
• ec_padic •

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

  
  
  • id: 31927
    {'lmfdb_iso': '1274.j', 'p': 11, 'prec': 20, 'unit': 4974565164336655671, 'val': 2}
  • id: 31929
    {'lmfdb_iso': '1274.j', 'p': 19, 'prec': 20, 'unit': 972979230811751554451612, 'val': 1}
  • id: 31932
    {'lmfdb_iso': '1274.j', 'p': 23, 'prec': 20, 'unit': 61873944033599763490496605, 'val': 1}
  • id: 31936
    {'lmfdb_iso': '1274.j', 'p': 31, 'prec': 20, 'unit': 12227787421190716643572093495, 'val': 1}
  • id: 31922
    {'lmfdb_iso': '1274.j', 'p': 37, 'prec': 20, 'unit': 426031224124922510224604542041, 'val': 1}
  • id: 31924
    {'lmfdb_iso': '1274.j', 'p': 41, 'prec': 20, 'unit': 1632062209497199329427913248404, 'val': 1}
  • id: 31925
    {'lmfdb_iso': '1274.j', 'p': 43, 'prec': 20, 'unit': 9205556830836385879249981562640, 'val': 1}
  • id: 31934
    {'lmfdb_iso': '1274.j', 'p': 47, 'prec': 20, 'unit': 55288608561003267301549295679297, 'val': 1}
  • id: 31930
    {'lmfdb_iso': '1274.j', 'p': 53, 'prec': 20, 'unit': 52487920859591485610250538173028, 'val': 1}
  • id: 31928
    {'lmfdb_iso': '1274.j', 'p': 59, 'prec': 20, 'unit': 579598303847245305176678689997858, 'val': 1}
  • id: 31935
    {'lmfdb_iso': '1274.j', 'p': 61, 'prec': 20, 'unit': 172060708162365887925106939586102234, 'val': -1}
  • id: 31921
    {'lmfdb_iso': '1274.j', 'p': 67, 'prec': 20, 'unit': 8342089831493266096954816561404131, 'val': 1}
  • id: 31923
    {'lmfdb_iso': '1274.j', 'p': 71, 'prec': 20, 'unit': 147545992821077627450159736803703, 'val': 1}
  • id: 31931
    {'lmfdb_iso': '1274.j', 'p': 73, 'prec': 20, 'unit': 127158108375278914777109504083186164, 'val': 1}
  • id: 31926
    {'lmfdb_iso': '1274.j', 'p': 79, 'prec': 20, 'unit': 943426135675688701901893219865207302, 'val': 1}
  • id: 31920
    {'lmfdb_iso': '1274.j', 'p': 83, 'prec': 20, 'unit': 2264012013649158478358180181873748658, 'val': 1}
  • id: 31933
    {'lmfdb_iso': '1274.j', 'p': 89, 'prec': 20, 'unit': 10883248751524344468345628356873246280, 'val': 1}
  • id: 31919
    {'lmfdb_iso': '1274.j', 'p': 97, 'prec': 20, 'unit': 35481621228276146895288024230768647289, 'val': 1}