Elliptic curve data - 19110.e3

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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': '19110p', 'Clabel': '19110p1', 'Cnumber': 1, 'abc_quality': 1.052714565604007, 'absD': 31579388527190999040000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [1, 1, 0, -6805617032, -216099982943424], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 19110, 'degree': 20643840, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1911077896645285938304604127', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [296304326013275547793071733369, 268420373544960000000], 'lmfdb_iso': '19110.e', 'lmfdb_label': '19110.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -138890144, 630009263342], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '130.6.0.?', '140.12.0.?', '260.12.0.?', '280.24.0.?', '364.12.0.?', '520.24.0.?', '728.24.0.?', '1820.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3185], [3, 4, 3185], [5, 6, 3822], [7, 32, 78], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2181527151368719412777840410', 'prec': 100}, 'szpiro_ratio': 8.068260439433422, '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, -4, -1, 1, 0, -1, 1, 2, -1, -8, 1], 'aplist': [-1, -1, 1, 0, -4, 1, 2, -8, -4, -2, -4, 2, -6, -8, -8, 6, 0, -6, 4, 8, -6, -8, -12, 2, 2], '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.e', 'trace_hash': 1137381814557676079}
• 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': '0.00022890223216967937316385970920', 'prec': 113}, 'conductor': 19110, 'gens': [], 'heights': [], 'lmfdb_label': '19110.e3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.016621977940314292417566122057', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.46541538232880018769185141759782264347', 'prec': 133}, 'tamagawa_product': 112, 'torsion_generators': [[-47664, 23832, 1]], 'xcoord_integral_points': [-47664]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [0, 0], '5': [1, 0], '7': 'a', '13': [1, 0]}, 'iwp0': 11, 'lmfdb_label': '19110.e3'}
• ec_torsion_growth •

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

  
  
  • id: 976548
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '19110.e3', 'torsion': [2, 2]}
  • id: 976549
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '19110.e3', 'torsion': [4]}
  • id: 976550
    {'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '19110.e3', 'torsion': [4]}
  • id: 976552
    {'degree': 4, 'field': [16, 4, 1, -1, 1], 'lmfdb_label': '19110.e3', 'torsion': [8]}
  • id: 976551
    {'degree': 4, 'field': [79, 53, 8, -1, 1], 'lmfdb_label': '19110.e3', 'torsion': [2, 4]}
  • id: 976553
    {'degree': 8, 'field': [-290, -4410, 6885, -3560, 516, 152, -46, -2, 1], 'lmfdb_label': '19110.e3', 'torsion': [2, 4]}
  • id: 976556
    {'degree': 8, 'field': [-180, -615, -530, -474, -159, -47, -12, 0, 1], 'lmfdb_label': '19110.e3', 'torsion': [6]}
  • id: 976554
    {'degree': 8, 'field': [81, 0, 22, 0, 379, 0, -38, 0, 1], 'lmfdb_label': '19110.e3', 'torsion': [8]}
  • id: 976555
    {'degree': 8, 'field': [100, -250, 995, -665, 336, -97, 24, -3, 1], 'lmfdb_label': '19110.e3', 'torsion': [2, 8]}
  • id: 976560
    {'degree': 16, 'field': [-10518373376, 9701183744, 33275648, -2338418768, 325982188, 293514354, -48615019, -24143594, 3763084, 1331096, -189385, -46746, 6391, 914, -124, -8, 1], 'lmfdb_label': '19110.e3', 'torsion': [2, 6]}
  • id: 976558
    {'degree': 16, 'field': [2560000, 0, -3744000, 0, 1933200, 0, 396240, 0, 8716, 0, -6084, 0, 477, 0, 39, 0, 1], 'lmfdb_label': '19110.e3', 'torsion': [2, 8]}
  • id: 976561
    {'degree': 16, 'field': [15116544, 0, -34992, 0, -1585575, 0, -1944, 0, 40560, 0, -26, 0, 408, 0, 0, 0, 1], 'lmfdb_label': '19110.e3', 'torsion': [12]}
  • id: 976557
    {'degree': 16, 'field': [70576801, 0, 5041692, 0, 7522818, 0, 1616364, 0, 346915, 0, 37764, 0, 2298, 0, 72, 0, 1], 'lmfdb_label': '19110.e3', 'torsion': [4, 4]}
  • id: 976562
    {'degree': 16, 'field': [900000000, 0, 2250000, 0, -29504375, 0, 45000, 0, 339312, 0, 198, 0, 984, 0, 0, 0, 1], 'lmfdb_label': '19110.e3', 'torsion': [12]}
  • id: 976559
    {'degree': 16, 'field': [947803516, 29200416, -189429640, 65702480, 39549525, -8879512, -3984162, 593900, 209420, -17400, -982, 248, 90, 140, 0, -4, 1], 'lmfdb_label': '19110.e3', 'torsion': [16]}
• 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: 431085
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '19110.e3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 431086
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '19110.e3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 431087
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '19110.e3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 431088
    {'conductor': 19110, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '19110.e3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 431089
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19110.e3', '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: 1791757
    {'adelic_gens': [[1369, 1368, 3198, 1375], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [848, 3, 2805, 2], [2188, 1, 751, 6], [3119, 3632, 1556, 3607], [7, 6, 3634, 3635], [459, 458, 1378, 3195], [3633, 8, 3632, 9]], 'adelic_image': '3640.48.0.?', 'conductor': 19110, 'lmfdb_label': '19110.e3', 'prime': 0}
  • id: 89296
    {'conductor': 19110, 'elladic_image': '8.12.0.6', 'lmfdb_label': '19110.e3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 19110.e does not appear in ec_padic