Elliptic curve data - 19110.n4

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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': '19110o', 'Clabel': '19110o4', 'Cnumber': 4, 'abc_quality': 1.0195198747653818, 'absD': 396760497616665000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [1, 1, 0, 183333, 2431269], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19110, 'degree': 294912, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0662781211557119197107816555', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [5792335463322071, 3372408585000], 'lmfdb_iso': '19110.n', 'lmfdb_label': '19110.n4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3741, -6554], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '56.12.0-4.c.1.1', '104.12.0.?', '280.24.0.?', '364.12.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 4, 3185], [5, 6, 3822], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0933230466280552671581052838', 'prec': 100}, 'szpiro_ratio': 4.866193270869199, '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, -1, -1, 1, 1, 1, 0, -1, 1, -1, 0, -1, 1, 0, -1, 1, -2, -1, 8, 1], 'aplist': [-1, -1, 1, 0, 0, 1, -2, 8, -4, 6, 8, -6, -2, -12, 0, 10, 8, 2, -4, 8, -6, 0, 4, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 19110, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '19110.n', 'trace_hash': 612368905617434672}
• 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': '0.016041819588286659344315068590', 'prec': 107}, 'conductor': 19110, 'gens': [], 'heights': [], 'lmfdb_label': '19110.n4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18096692288874849281786787924', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4477353831099879425429430339473672187', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-53, 53, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [0, 0], '5': [1, 0], '7': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '19110.n4'}
• ec_torsion_growth •

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

  
  
  • id: 976535
    {'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [4]}
  • id: 976536
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [4]}
  • id: 976534
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [2, 2]}
  • id: 976537
    {'degree': 4, 'field': [9, 0, 20, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [2, 4]}
  • id: 976541
    {'degree': 8, 'field': [-17554, -11, -448, 917, -455, -7, 7, -4, 1], 'lmfdb_label': '19110.n4', 'torsion': [6]}
  • id: 976538
    {'degree': 8, 'field': [26380, -60528, 41448, -6240, 704, -312, 12, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [2, 4]}
  • id: 976540
    {'degree': 8, 'field': [71100, 66000, 28520, 4000, -344, -200, -12, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [8]}
  • id: 976539
    {'degree': 8, 'field': [84100, 0, -36495, 0, 1991, 0, 27, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [8]}
  • id: 976544
    {'degree': 16, 'field': [71571600, 0, 28192320, 0, 22893376, 0, -1457568, 0, 128984, 0, 37296, 0, 2384, 0, 72, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [2, 8]}
  • id: 976547
    {'degree': 16, 'field': [1529122816, 0, -183229952, 0, 220864576, 0, 54212736, 0, 3863616, 0, 156144, 0, 5296, 0, 112, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [12]}
  • id: 976543
    {'degree': 16, 'field': [2462541376, 0, 1196036224, 0, -72653356, 0, 11117076, 0, 442985, 0, 18576, 0, 3494, 0, 124, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [2, 8]}
  • id: 976542
    {'degree': 16, 'field': [4221750625, -4946416800, 2897736192, -1317858672, 452110226, -113727432, 28619136, -5412576, 536919, -222456, 48672, 1248, 854, -312, 0, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [4, 4]}
  • id: 976545
    {'degree': 16, 'field': [45670878750, -126487546500, 142481427725, -33191248300, 19648206200, -3786987050, 1472007775, -186178160, 54742521, -5670918, 1342803, -117656, 22855, -1526, 238, -8, 1], 'lmfdb_label': '19110.n4', 'torsion': [2, 6]}
  • id: 976546
    {'degree': 16, 'field': [55580420025, 0, 4101908850, 0, -720246735, 0, -11325366, 0, 6223932, 0, -435006, 0, 12961, 0, -182, 0, 1], 'lmfdb_label': '19110.n4', 'torsion': [12]}
• 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: 431080
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '19110.n4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 431081
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '19110.n4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 431082
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '19110.n4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 431083
    {'conductor': 19110, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '19110.n4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 431084
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19110.n4', '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: 1791783
    {'adelic_gens': [[3119, 0, 0, 3639], [1457, 1568, 1148, 2633], [1, 0, 8, 1], [848, 1113, 1393, 400], [1, 8, 0, 1], [1, 4, 4, 17], [456, 203, 329, 358], [3284, 1561, 1463, 526], [7, 6, 3634, 3635], [3633, 8, 3632, 9]], 'adelic_image': '3640.48.0.?', 'conductor': 19110, 'lmfdb_label': '19110.n4', 'prime': 0}
  • id: 89329
    {'conductor': 19110, 'elladic_image': '4.6.0.1', 'lmfdb_label': '19110.n4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 19110.n does not appear in ec_padic