Elliptic curve data - 2394.j4

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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': '2394n', 'Clabel': '2394n3', 'Cnumber': 3, 'abc_quality': 1.1447961981888821, 'absD': 65057936369061888, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 4788, 'ainvs': [1, -1, 1, -100580, -352249], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 2394, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9156596457199593513994772828', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154357248921765625, 89242711068672], 'lmfdb_iso': '2394.j', 'lmfdb_label': '2394.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11176, 13046], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '28.6.0.b.1', '84.144.1.?', '114.144.1.?', '1197.72.0.?', '1596.288.5.?', '2394.432.7.?', '4788.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 21, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63099287712740211283647087314', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 171], [3, 2, 1], [7, 8, 342], [19, 20, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3663535013859045057018546643', 'prec': 100}, 'szpiro_ratio': 5.933861465628828, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 0, 0, 1, 1, 0, 0, -6, 0, -4, 1, 0, 1, 0, 0, 1, 0], 'aplist': [1, 0, 0, 1, -6, -4, 0, 1, -6, -6, -4, 2, 6, 8, -12, -6, 12, -10, 14, 12, 2, -10, -12, -18, 8], 'class_deg': 18, 'class_size': 6, 'conductor': 2394, 'isogeny_matrix': [[1, 2, 3, 6, 9, 18], [2, 1, 6, 3, 18, 9], [3, 6, 1, 2, 3, 6], [6, 3, 2, 1, 6, 3], [9, 18, 3, 6, 1, 2], [18, 9, 6, 3, 2, 1]], 'lmfdb_iso': '2394.j', 'trace_hash': 58779150403423800}
• 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': '0.021680993204596015893405033234', 'prec': 107}, 'conductor': 2394, 'gens': [[-21, 1333, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.63099287712740211283647087314', 'prec': 103}], 'lmfdb_label': '2394.j4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29329737264602625256057944837', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4416452724757739044452350068083146734', 'prec': 130}, 'tamagawa_product': 864, 'torsion_generators': [[-63, 2425, 1]], 'xcoord_integral_points': [-315, -291, -203, -63, -21, 357, 469, 735, 1449, 1989, 7917]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [2, 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': '2394.j4'}
• ec_torsion_growth •

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

  
  
  • id: 122543
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '2394.j4', 'torsion': [2, 6]}
  • id: 122544
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2394.j4', 'torsion': [3, 6]}
  • id: 122545
    {'degree': 4, 'field': [18, -14, 3, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [12]}
  • id: 122546
    {'degree': 4, 'field': [25, -5, -4, -1, 1], 'lmfdb_label': '2394.j4', 'torsion': [6, 6]}
  • id: 122549
    {'degree': 8, 'field': [324, 252, 142, 42, -9, -28, -3, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [3, 12]}
  • id: 122547
    {'degree': 8, 'field': [1024, 0, -2780, 0, 207, 0, -20, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [2, 12]}
  • id: 122548
    {'degree': 8, 'field': [1108, -2420, 1477, -514, 503, -16, 7, -2, 1], 'lmfdb_label': '2394.j4', 'torsion': [2, 12]}
  • id: 122550
    {'degree': 9, 'field': [-616112, 494592, 3024, -75636, 5628, 4752, -252, -138, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [18]}
  • id: 122552
    {'degree': 16, 'field': [256, 0, -512, 0, 1552, 0, 1312, 0, 817, 0, 328, 0, 97, 0, -8, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [6, 12]}
  • id: 122553
    {'degree': 16, 'field': [1296, -5616, 13464, -28824, 48160, -46132, 39954, -40062, 15915, 2218, 677, 152, -42, -54, 3, -2, 1], 'lmfdb_label': '2394.j4', 'torsion': [6, 12]}
  • id: 122551
    {'degree': 16, 'field': [10096032, 905376, -499272, -796824, 362620, 35488, 638, -10926, 3469, -1258, 1180, -730, 334, -126, 38, -8, 1], 'lmfdb_label': '2394.j4', 'torsion': [24]}
  • id: 122557
    {'degree': 18, 'field': [-134217728, 0, 0, 11678908416, 0, 0, 367623168, 0, 0, 318080, 0, 0, -64452, 0, 0, -336, 0, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [2, 18]}
  • id: 122556
    {'degree': 18, 'field': [19683, 0, 0, 0, 0, 0, 7350570, 0, 0, 0, 0, 0, 5667, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [3, 18]}
  • id: 122554
    {'degree': 18, 'field': [1601613, 0, 0, -221292, 0, 0, -38007, 0, 0, 1350, 0, 0, 717, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [3, 18]}
  • id: 122555
    {'degree': 18, 'field': [5949419328, 0, 0, 1033099200, 0, 0, 65400688, 0, 0, 1596672, 0, 0, 3196, 0, 0, -252, 0, 0, 1], 'lmfdb_label': '2394.j4', 'torsion': [3, 18]}
• 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: 40782
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '2394.j4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 40783
    {'conductor': 2394, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '2394.j4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 40784
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2394.j4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 40785
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2394.j4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1679490
    {'adelic_gens': [[1, 36, 0, 1], [1, 0, 36, 1], [790, 3, 2505, 4720], [4786, 4779, 153, 2816], [1, 6, 6, 37], [4753, 36, 4752, 37], [697, 36, 426, 1285], [19, 24, 1440, 1819], [1225, 402, 1458, 2935]], 'adelic_image': '4788.864.21.?', 'conductor': 2394, 'lmfdb_label': '2394.j4', 'prime': 0}
  • id: 11793
    {'conductor': 2394, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2394.j4', 'modell_image': '2B', 'prime': 2}
  • id: 11794
    {'conductor': 2394, 'elladic_image': '3.24.0.1', 'lmfdb_label': '2394.j4', 'modell_image': '3Cs.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 73156
    {'lmfdb_iso': '2394.j', 'p': 11, 'prec': 20, 'unit': 42208642554599545415, 'val': 1}
  • id: 73162
    {'lmfdb_iso': '2394.j', 'p': 13, 'prec': 20, 'unit': 1197843827591882733608, 'val': 1}
  • id: 73168
    {'lmfdb_iso': '2394.j', 'p': 23, 'prec': 20, 'unit': 37857649267981047491346461, 'val': 1}
  • id: 73161
    {'lmfdb_iso': '2394.j', 'p': 29, 'prec': 20, 'unit': 4285126297208529882835979333, 'val': 1}
  • id: 73172
    {'lmfdb_iso': '2394.j', 'p': 31, 'prec': 20, 'unit': 20611210365008632017574418472, 'val': 1}
  • id: 73157
    {'lmfdb_iso': '2394.j', 'p': 37, 'prec': 20, 'unit': 395392423555042316040237291162, 'val': 1}
  • id: 73159
    {'lmfdb_iso': '2394.j', 'p': 41, 'prec': 20, 'unit': 966089135203463593690516573869, 'val': 1}
  • id: 73160
    {'lmfdb_iso': '2394.j', 'p': 43, 'prec': 20, 'unit': 2230057439996199289053015566209, 'val': 1}
  • id: 73170
    {'lmfdb_iso': '2394.j', 'p': 47, 'prec': 20, 'unit': 12531181373634216462411402032270, 'val': 1}
  • id: 73166
    {'lmfdb_iso': '2394.j', 'p': 53, 'prec': 20, 'unit': 521567937703241693203282223834517, 'val': 1}
  • id: 73164
    {'lmfdb_iso': '2394.j', 'p': 59, 'prec': 20, 'unit': 267019881120220847193230059104963, 'val': 1}
  • id: 73171
    {'lmfdb_iso': '2394.j', 'p': 61, 'prec': 20, 'unit': 6308727323764098773887407785067917, 'val': 1}
  • id: 73165
    {'lmfdb_iso': '2394.j', 'p': 67, 'prec': 20, 'unit': 37566160089995201164076798392307614, 'val': 1}
  • id: 73158
    {'lmfdb_iso': '2394.j', 'p': 71, 'prec': 20, 'unit': 53709540458705409167901326441591542, 'val': 1}
  • id: 73167
    {'lmfdb_iso': '2394.j', 'p': 73, 'prec': 20, 'unit': 37696909103130461382743595014746002, 'val': 1}
  • id: 73163
    {'lmfdb_iso': '2394.j', 'p': 79, 'prec': 20, 'unit': 1061964861238832827549592521630985683, 'val': 1}
  • id: 73155
    {'lmfdb_iso': '2394.j', 'p': 83, 'prec': 20, 'unit': 1903298268586420308304016215599164126, 'val': 1}
  • id: 73169
    {'lmfdb_iso': '2394.j', 'p': 89, 'prec': 20, 'unit': 5923747110909954342734689138360371801, 'val': 1}
  • id: 73154
    {'lmfdb_iso': '2394.j', 'p': 97, 'prec': 20, 'unit': 43739827753049921991085274631561567406, 'val': 1}