Elliptic curve data - 18496.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': '18496i', 'Clabel': '18496i1', 'Cnumber': 1, 'absD': 1544804416, 'ainvs': [0, 0, 0, 289, 0], 'analytic_rank': 2, 'bad_primes': [2, 17], 'class_deg': 4, 'class_size': 4, 'cm': -4, 'conductor': 18496, 'degree': 5120, 'elladic_images': ['16.192.9.178'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45264733639657117658110828636', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [1728, 1], 'lmfdb_iso': '18496.j', 'lmfdb_label': '18496.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 4, 0], 'min_quad_twist_disc': 136, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': True, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '7.0996751824033547122226999227', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [17, 146, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.9121609152862327, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, 0, 0, -2, 0, 0, 0, -3, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, -2, 0, 0, -6, 0, 0, 0, -10, 0, -2, -10, 0, 0, -14, 0, -10, 0, 0, 6, 0, 0, 10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 18496, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '18496.j', 'trace_hash': 1656455281237092846}
• 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': '0.40442269517766898985235857528', 'prec': 103}, 'conductor': 18496, 'gens': [[68, 578, 1], [144, 1740, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5093349584874645549547831649', 'prec': 100}, {'__RealLiteral__': 0, 'data': '5.0259203615163643369969812197', 'prec': 100}], 'lmfdb_label': '18496.j4', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.89935832144665119549453741037', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3851519548627282465954019139707802288', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0, 68, 144]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 4, 0], '5': [2, 0], '7': [2, 2, 0], '11': [2, 2, 0], '13': [2, 0], '17': 'a', '19': [4, 2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '18496.j4'}
• ec_torsion_growth •

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

  
  
  • id: 948712
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [4]}
  • id: 948711
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [2, 2]}
  • id: 948713
    {'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [4]}
  • id: 948714
    {'degree': 4, 'field': [289, 0, 0, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [2, 4]}
  • id: 948718
    {'degree': 8, 'field': [-250563, 0, 0, 0, -1734, 0, 0, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [6]}
  • id: 948716
    {'degree': 8, 'field': [2, 256, -144, -204, 53, 56, -14, -4, 1], 'lmfdb_label': '18496.j4', 'torsion': [8]}
  • id: 948715
    {'degree': 8, 'field': [256, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [4, 4]}
  • id: 948717
    {'degree': 8, 'field': [9352, 1952, 3248, 160, 388, -8, 28, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [8]}
  • id: 948719
    {'degree': 8, 'field': [104546, -25416, 3792, -2516, 1072, -36, -34, 0, 1], 'lmfdb_label': '18496.j4', 'torsion': [2, 10]}
  • id: 948722
    {'degree': 16, 'field': [-2466535679, 2130995692, 275364806, -393372776, 20422348, 3072044, -82852, 2586676, -449429, -103384, 30936, -3776, -380, 268, -30, -4, 1], 'lmfdb_label': '18496.j4', 'torsion': [10]}
  • id: 948720
    {'degree': 16, 'field': [27266, -97968, 253132, -414424, 503650, -464152, 357420, -220212, 118867, -51812, 20280, -6252, 1770, -364, 72, -8, 1], 'lmfdb_label': '18496.j4', 'torsion': [4, 8]}
  • id: 948723
    {'degree': 16, 'field': [8259009, 10042404, -7983972, -10187700, 4578678, 3975096, -1501272, -806436, 281284, 94580, -30836, -6532, 1966, 248, -68, -4, 1], 'lmfdb_label': '18496.j4', 'torsion': [12]}
  • id: 948724
    {'degree': 16, 'field': [28234145, -13751460, 28930280, -11288260, 12617142, -4029624, 3098576, -799204, 465268, -93988, 43368, -6524, 2442, -248, 76, -4, 1], 'lmfdb_label': '18496.j4', 'torsion': [2, 20]}
  • id: 948725
    {'degree': 16, 'field': [60805414, -7812968, 45113828, -8346192, 15449192, -3235216, 3189028, -657720, 428368, -78684, 37708, -5648, 2102, -228, 68, -4, 1], 'lmfdb_label': '18496.j4', 'torsion': [12]}
  • id: 948721
    {'degree': 16, 'field': [5080888837, 630507556, 685977068, -224031348, 77720852, -63360484, 16686634, -7331556, 1921315, -514548, 122110, -20624, 4862, -420, 110, -4, 1], 'lmfdb_label': '18496.j4', 'torsion': [6, 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: 417104
    {'conductor': 18496, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '18496.j4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 417105
    {'conductor': 18496, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '18496.j4', '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

  
  {'conductor': 18496, 'elladic_image': '16.192.9.178', 'lmfdb_label': '18496.j4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 851956
    {'lmfdb_iso': '18496.j', 'p': 5, 'prec': 20, 'unit': 1217058953823, 'val': 2}
  • id: 851950
    {'lmfdb_iso': '18496.j', 'p': 13, 'prec': 20, 'unit': 849617876479214306302, 'val': 2}
  • id: 851951
    {'lmfdb_iso': '18496.j', 'p': 29, 'prec': 20, 'unit': 4817804100088460127757518721, 'val': 2}
  • id: 851948
    {'lmfdb_iso': '18496.j', 'p': 37, 'prec': 20, 'unit': 121208227911501068161857069246, 'val': 2}
  • id: 851949
    {'lmfdb_iso': '18496.j', 'p': 41, 'prec': 20, 'unit': 63133622502763736556034920196, 'val': 2}
  • id: 851952
    {'lmfdb_iso': '18496.j', 'p': 53, 'prec': 20, 'unit': 124655100720937958900516890913683, 'val': 2}
  • id: 851955
    {'lmfdb_iso': '18496.j', 'p': 61, 'prec': 20, 'unit': 69179212249509669210494770827364, 'val': 3}
  • id: 851953
    {'lmfdb_iso': '18496.j', 'p': 73, 'prec': 20, 'unit': 172208096569936186030022146907663549, 'val': 2}
  • id: 851954
    {'lmfdb_iso': '18496.j', 'p': 89, 'prec': 20, 'unit': 56031406376666483394390157982485934, 'val': 2}
  • id: 851947
    {'lmfdb_iso': '18496.j', 'p': 97, 'prec': 20, 'unit': 51089259887089158036115343835915734051, 'val': 2}