Elliptic curve data - 19110.m3

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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': '19110j', 'Clabel': '19110j4', 'Cnumber': 4, 'abc_quality': 1.0177584325921658, 'absD': 622371259544580, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, 1, 0, -48404332, -129640899716], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 19110, 'degree': 1327104, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7615758113371022374082815332', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [106607603143751752938169, 5290068420], 'lmfdb_iso': '19110.m', 'lmfdb_label': '19110.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -987844, 377820686], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.4', '20.12.0-4.c.1.1', '21.8.0-3.a.1.1', '30.24.0-6.a.1.4', '42.24.0-6.a.1.3', '60.96.0-12.c.4.6', '84.96.0.?', '210.48.0.?', '312.96.1.?', '420.192.1.?', '728.12.0.?', '1560.192.1.?', '2184.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.583977183951276031352985899', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 735], [3, 4, 6370], [5, 6, 3822], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7886207368094455848556051615', 'prec': 100}, 'szpiro_ratio': 6.563108035974607, '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, 6, -1, 4, 1], 'aplist': [-1, -1, 1, 0, 0, -1, 6, 4, 0, 6, -8, 2, -6, 8, -12, -6, 12, -14, -4, -12, -2, 8, 0, -6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 19110, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '19110.m', 'trace_hash': 1828340628534137433}
• 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': '0.0039932428944971511772085102874', 'prec': 110}, 'conductor': 19110, 'gens': [[73275595, 624717830924, 27]], 'heights': [{'__RealLiteral__': 0, 'data': '15.583977183951276031352985899', 'prec': 100}], 'lmfdb_label': '19110.m3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.057237215221293622064788153748', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5679338243261939717699713962873969829', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-16069, 16069, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [1, 0], '5': [2, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '19110.m3'}
• ec_torsion_growth •

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

  
  
  • id: 976171
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 2]}
  • id: 976174
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '19110.m3', 'torsion': [6]}
  • id: 976172
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [4]}
  • id: 976173
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [4]}
  • id: 976176
    {'degree': 4, 'field': [4, 0, 11, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 6]}
  • id: 976177
    {'degree': 4, 'field': [14, -14, 15, -2, 1], 'lmfdb_label': '19110.m3', 'torsion': [12]}
  • id: 976175
    {'degree': 4, 'field': [16, 0, 13, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 4]}
  • id: 976178
    {'degree': 4, 'field': [22, 2, -1, -2, 1], 'lmfdb_label': '19110.m3', 'torsion': [12]}
  • id: 976179
    {'degree': 6, 'field': [-2523, -87, -434, -519, 2, -3, 1], 'lmfdb_label': '19110.m3', 'torsion': [6]}
  • id: 976183
    {'degree': 8, 'field': [16, 40, -2, -86, 69, -34, 16, -4, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 12]}
  • id: 976182
    {'degree': 8, 'field': [217, -658, 1180, -1090, 661, -142, 52, -4, 1], 'lmfdb_label': '19110.m3', 'torsion': [8]}
  • id: 976180
    {'degree': 8, 'field': [176400, 0, 0, 0, -9660, 0, 0, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 4]}
  • id: 976181
    {'degree': 8, 'field': [1836025, 0, 180400, 0, 9110, 0, 160, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [8]}
  • id: 976187
    {'degree': 12, 'field': [300325, -955850, 1679450, -1572270, 866535, -257080, 17348, 10436, -2689, 218, 18, -6, 1], 'lmfdb_label': '19110.m3', 'torsion': [12]}
  • id: 976184
    {'degree': 12, 'field': [5499025, 2216025, 110075, -75600, 73425, -7605, 7738, -1677, -87, 12, -1, -3, 1], 'lmfdb_label': '19110.m3', 'torsion': [3, 6]}
  • id: 976185
    {'degree': 12, 'field': [19924380, -4921560, 5084100, -5787180, 434340, 269730, 3201, 2976, 175, -170, -25, -4, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 6]}
  • id: 976186
    {'degree': 12, 'field': [81928105, -29640450, -11357625, 4898400, 942090, 200130, 138421, 2874, 3450, -60, 75, -6, 1], 'lmfdb_label': '19110.m3', 'torsion': [12]}
  • id: 976193
    {'degree': 16, 'field': [390625, 0, -372700, 0, 213010, 0, 187988, 0, 76627, 0, 13724, 0, 1258, 0, 56, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [24]}
  • id: 976188
    {'degree': 16, 'field': [180660481, 0, -296802652, 0, 89705518, 0, 22576316, 0, 5772235, 0, -9604, 0, 4858, 0, 8, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [4, 4]}
  • id: 976190
    {'degree': 16, 'field': [352697121, 342830628, 75830220, -30000132, -14010294, 2383848, 1949820, 62628, -88805, 18472, 12580, 52, -254, 52, 40, -8, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 8]}
  • id: 976191
    {'degree': 16, 'field': [31644046141, -2389836956, 1357185494, 253984104, -251962999, -4411648, -3795074, -2163828, 1040392, 33588, -4154, 5008, -1639, -24, 14, -4, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 12]}
  • id: 976189
    {'degree': 16, 'field': [2521286676736, 0, 478122189632, 0, 57925061348, 0, 3840213804, 0, 150084305, 0, 3457944, 0, 46298, 0, 332, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [2, 8]}
  • id: 976192
    {'degree': 16, 'field': [3624210757696, 0, 685100945824, 0, 70002609652, 0, 4098428412, 0, 146251185, 0, 3222648, 0, 42922, 0, 316, 0, 1], 'lmfdb_label': '19110.m3', 'torsion': [24]}
  • id: 976194
    {'degree': 18, 'field': [5580799473641, -625073428812, 371784528444, -43289099833, 62746901931, 15964883991, 6098008259, 1700113947, 572073201, 76983235, 19392471, 3026373, 433609, 37557, 9321, 281, 114, -3, 1], 'lmfdb_label': '19110.m3', 'torsion': [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: 430960
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '19110.m3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 430961
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '19110.m3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 430962
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19110.m3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 430963
    {'conductor': 19110, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '19110.m3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 430964
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '19110.m3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1791774
    {'adelic_gens': [[3201, 5008, 10916, 2189], [8752, 3, 8277, 10834], [16, 5481, 1535, 3266], [1, 12, 12, 145], [4201, 24, 6732, 289], [15, 106, 9614, 1691], [8191, 24, 8190, 1], [6224, 10917, 9819, 86], [10897, 24, 10896, 25], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 19110, 'lmfdb_label': '19110.m3', 'prime': 0}
  • id: 89314
    {'conductor': 19110, 'elladic_image': '4.6.0.1', 'lmfdb_label': '19110.m3', 'modell_image': '2B', 'prime': 2}
  • id: 89315
    {'conductor': 19110, 'elladic_image': '3.4.0.1', 'lmfdb_label': '19110.m3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 883485
    {'lmfdb_iso': '19110.m', 'p': 17, 'prec': 20, 'unit': 180541070218414553806864, 'val': 1}
  • id: 883486
    {'lmfdb_iso': '19110.m', 'p': 19, 'prec': 20, 'unit': 1632542614601842756802916, 'val': 1}
  • id: 883483
    {'lmfdb_iso': '19110.m', 'p': 29, 'prec': 20, 'unit': 4180308149749242933439996020, 'val': 1}
  • id: 883493
    {'lmfdb_iso': '19110.m', 'p': 31, 'prec': 20, 'unit': 633437942802717022365412066, 'val': 2}
  • id: 883479
    {'lmfdb_iso': '19110.m', 'p': 37, 'prec': 20, 'unit': 115324570615421827584144992992, 'val': 1}
  • id: 883481
    {'lmfdb_iso': '19110.m', 'p': 41, 'prec': 20, 'unit': 2172510481883402075768570601567, 'val': 1}
  • id: 883482
    {'lmfdb_iso': '19110.m', 'p': 43, 'prec': 20, 'unit': 4741900533021626815994563987488, 'val': 1}
  • id: 883491
    {'lmfdb_iso': '19110.m', 'p': 47, 'prec': 20, 'unit': 32404480332105094726430145026339, 'val': 1}
  • id: 883487
    {'lmfdb_iso': '19110.m', 'p': 53, 'prec': 20, 'unit': 273853055762666168254867623942919, 'val': 1}
  • id: 883488
    {'lmfdb_iso': '19110.m', 'p': 59, 'prec': 20, 'unit': 16737402861155545866353727285670, 'val': 1}
  • id: 883492
    {'lmfdb_iso': '19110.m', 'p': 61, 'prec': 20, 'unit': 4892633807825162131701677962674679, 'val': 1}
  • id: 883478
    {'lmfdb_iso': '19110.m', 'p': 67, 'prec': 20, 'unit': 47591366324660623838484211146001968, 'val': 1}
  • id: 883480
    {'lmfdb_iso': '19110.m', 'p': 71, 'prec': 20, 'unit': 73943888722613836400280162476407844, 'val': 1}
  • id: 883489
    {'lmfdb_iso': '19110.m', 'p': 73, 'prec': 20, 'unit': 224194451237339755800761465058070175, 'val': 1}
  • id: 883484
    {'lmfdb_iso': '19110.m', 'p': 79, 'prec': 20, 'unit': 1011077636304483491567630007161636374, 'val': 1}
  • id: 883490
    {'lmfdb_iso': '19110.m', 'p': 89, 'prec': 20, 'unit': 3702191387801588394219567772412896326, 'val': 1}
  • id: 883477
    {'lmfdb_iso': '19110.m', 'p': 97, 'prec': 20, 'unit': 50686093727490933037437618810501255959, 'val': 1}