Elliptic curve data - 3952.j1

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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': '3952i', 'Clabel': '3952i2', 'Cnumber': 2, 'abc_quality': 0.9231047350493783, 'absD': 667888, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2964, 'ainvs': [0, -1, 0, -1918, 32979], 'analytic_rank': 1, 'bad_primes': [2, 13, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 3952, 'degree': 1296, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41928412775331959600247817080', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3], 'jinv': [-48795070432000, 41743], 'lmfdb_iso': '3952.j', 'lmfdb_label': '3952.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1918, -32979], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '494.2.0.?', '1482.8.0.?', '2964.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.64680992591324694707883890004', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 247], [3, 2, 304], [13, 14, 304], [19, 20, 208]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18823506756667115953006746365', 'prec': 103}, 'szpiro_ratio': 4.140465539171189, '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, 2, 0, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, -3, 0, -1, 0], 'aplist': [0, 2, 0, -2, 0, 1, -3, -1, -3, 6, 1, -7, 9, -11, -6, 6, -9, -1, -11, -12, 8, 10, 6, 6, 11], 'class_deg': 3, 'class_size': 2, 'conductor': 3952, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '3952.j', 'trace_hash': 1605220752364978095}
• 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': '0.43232906528501124976587145135', 'prec': 103}, 'conductor': 3952, 'gens': [[21, 39, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.64680992591324694707883890004', 'prec': 103}], 'lmfdb_label': '3952.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.3972090643565858654287036844', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6516158519451420092221154291462312112', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [21]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [2, 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, 0]}, 'iwp0': 0, 'lmfdb_label': '3952.j1'}
• ec_torsion_growth •

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

  
  
  • id: 205739
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [3]}
  • id: 205740
    {'degree': 3, 'field': [-3, 1, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [2]}
  • id: 205743
    {'degree': 6, 'field': [-39, -60, 28, -6, -7, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [6]}
  • id: 205741
    {'degree': 6, 'field': [9, 21, 80, 1, -6, -2, 1], 'lmfdb_label': '3952.j1', 'torsion': [2, 2]}
  • id: 205742
    {'degree': 6, 'field': [1444, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [3]}
  • id: 205744
    {'degree': 12, 'field': [8983, 30958, 32364, 2840, -10298, -3314, -1414, 14, 937, -8, -54, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [4]}
  • id: 205746
    {'degree': 12, 'field': [183069, -43434, 14910, -14676, 10765, -1458, 2230, -450, 90, -42, 16, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [2, 6]}
  • id: 205745
    {'degree': 12, 'field': [2088025, -329460, 47649, -220324, 13002, 1596, 8657, 0, 6, -152, -3, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [3, 3]}
  • id: 205747
    {'degree': 18, 'field': [-74661813147, 0, 3949117263, 0, 36568724205, 0, 14167045012, 0, 489442356, 0, -5110677, 0, -427177, 0, -2925, 0, 78, 0, 1], 'lmfdb_label': '3952.j1', 'torsion': [9]}
  • id: 205748
    {'degree': 18, 'field': [376367048, 0, 0, 70894624, 0, 0, 6677056, 0, 0, 322012, 0, 0, 6498, 0, 0, -114, 0, 0, 1], 'lmfdb_label': '3952.j1', '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: 73659
    {'conductor': 3952, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '3952.j1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 73660
    {'conductor': 3952, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3952.j1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 73661
    {'conductor': 3952, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3952.j1', 'prime': 19, '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: 1689663
    {'adelic_gens': [[4, 3, 9, 7], [1481, 0, 0, 2963], [457, 6, 1371, 19], [2959, 6, 2958, 7], [1487, 2958, 1488, 2957], [1, 6, 0, 1], [3, 4, 8, 11], [1726, 2715, 2213, 2957], [781, 6, 861, 19], [1, 0, 6, 1]], 'adelic_image': '2964.16.0.?', 'conductor': 3952, 'lmfdb_label': '3952.j1', 'prime': 0}
  • id: 19594
    {'conductor': 3952, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3952.j1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 137877
    {'lmfdb_iso': '3952.j', 'p': 7, 'prec': 20, 'unit': 10978196962114184, 'val': 1}
  • id: 137882
    {'lmfdb_iso': '3952.j', 'p': 17, 'prec': 20, 'unit': 129718387151733158985044, 'val': 1}
  • id: 137887
    {'lmfdb_iso': '3952.j', 'p': 23, 'prec': 20, 'unit': 69985250269585885320743713, 'val': 1}
  • id: 137880
    {'lmfdb_iso': '3952.j', 'p': 29, 'prec': 20, 'unit': 5102291879488538375760969380, 'val': 1}
  • id: 137892
    {'lmfdb_iso': '3952.j', 'p': 31, 'prec': 20, 'unit': 438430926794013234651946741077, 'val': -1}
  • id: 137876
    {'lmfdb_iso': '3952.j', 'p': 37, 'prec': 20, 'unit': 487533996661752187056645550678, 'val': 1}
  • id: 137878
    {'lmfdb_iso': '3952.j', 'p': 41, 'prec': 20, 'unit': 1429567718467830736355398529012, 'val': 1}
  • id: 137879
    {'lmfdb_iso': '3952.j', 'p': 43, 'prec': 20, 'unit': 458075017155936010532259012527, 'val': 1}
  • id: 137890
    {'lmfdb_iso': '3952.j', 'p': 47, 'prec': 20, 'unit': 44100214890090019315093842767625, 'val': 1}
  • id: 137884
    {'lmfdb_iso': '3952.j', 'p': 53, 'prec': 20, 'unit': 78469017598994235422087955143838, 'val': 1}
  • id: 137885
    {'lmfdb_iso': '3952.j', 'p': 59, 'prec': 20, 'unit': 2774308439324784855198875385964687, 'val': 1}
  • id: 137891
    {'lmfdb_iso': '3952.j', 'p': 61, 'prec': 20, 'unit': 8199693130043868684367227315409149, 'val': 1}
  • id: 137875
    {'lmfdb_iso': '3952.j', 'p': 67, 'prec': 20, 'unit': 13712393897191881483758276109296949, 'val': 1}
  • id: 137889
    {'lmfdb_iso': '3952.j', 'p': 71, 'prec': 20, 'unit': 142603222755014763648343705203632989, 'val': 1}
  • id: 137886
    {'lmfdb_iso': '3952.j', 'p': 73, 'prec': 20, 'unit': 232196275967915910102518294359818939, 'val': 1}
  • id: 137881
    {'lmfdb_iso': '3952.j', 'p': 79, 'prec': 20, 'unit': 660507780439077738404887560069393246, 'val': 1}
  • id: 137883
    {'lmfdb_iso': '3952.j', 'p': 83, 'prec': 20, 'unit': 2603059164358480427898015712913671686, 'val': 1}
  • id: 137888
    {'lmfdb_iso': '3952.j', 'p': 89, 'prec': 20, 'unit': 9649722065247162152247308820852100235, 'val': 1}
  • id: 137874
    {'lmfdb_iso': '3952.j', 'p': 97, 'prec': 20, 'unit': 24456867077570352916969921491792375281, 'val': 1}