Elliptic curve data - 112710.m1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '112710q', 'Clabel': '112710q3', 'Cnumber': 3, 'abc_quality': 0.9824128594513611, 'absD': 63934993383086592000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 26520, 'ainvs': [1, 1, 0, -48012587, -128069780739], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 9953280, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9965434423269934834351600446', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [507102228823216499929, 2648775168000], 'lmfdb_iso': '112710.m', 'lmfdb_label': '112710.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -166134, -26077304], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '24.48.0.br.1', '51.8.0-3.a.1.1', '102.24.0.?', '204.48.0.?', '390.24.0.?', '408.96.0.?', '780.48.0.?', '1560.96.0.?', '2210.6.0.?', '4420.24.0.?', '6630.48.0.?', '13260.192.3.?', '26520.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2990430186888410443439286347', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5799367702988854433103927357', 'prec': 100}, 'szpiro_ratio': 5.559777873813265, '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, -2, -1, 1, -1, 0, -1, 1, 2, -1, 1, 0, -1, 2, 1], 'aplist': [-1, -1, 1, -2, 0, 1, 0, 2, 0, 6, 4, 10, 6, -10, 0, -6, -6, -14, 8, 12, -2, 10, 0, 6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 112710, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '112710.m', 'trace_hash': 254794768358494173}
• 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': '0.0024959474443304509931319747328', 'prec': 110}, 'conductor': 112710, 'gens': [[69990, 18387021, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.2990430186888410443439286347', 'prec': 100}], 'lmfdb_label': '112710.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.057353630336851698638629324207', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3352758172376745803510084153276983456', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-3994, 1997, 1]], 'xcoord_integral_points': [-3994, 69990]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [1, 1], '5': [4, 0], '7': [1, 0], '11': [1, 1, 0], '13': [2, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '112710.m1'}
• ec_torsion_growth •

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

  
  
  • id: 5178811
    {'degree': 2, 'field': [-276, -1, 1], 'lmfdb_label': '112710.m1', 'torsion': [2, 2]}
  • id: 5178812
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '112710.m1', 'torsion': [6]}
  • id: 5178813
    {'degree': 4, 'field': [65, 16, -15, -2, 1], 'lmfdb_label': '112710.m1', 'torsion': [4]}
  • id: 5178814
    {'degree': 4, 'field': [1296, 0, 123, 0, 1], 'lmfdb_label': '112710.m1', 'torsion': [2, 6]}
  • id: 5178815
    {'degree': 6, 'field': [1964, -1101, 153, -55, -9, -3, 1], 'lmfdb_label': '112710.m1', 'torsion': [6]}
  • id: 5178818
    {'degree': 8, 'field': [6292, -7436, 4062, -1058, 251, -106, 19, 0, 1], 'lmfdb_label': '112710.m1', 'torsion': [12]}
  • id: 5178816
    {'degree': 8, 'field': [75076, -1644, 18, -1102, 549, -2, 8, -4, 1], 'lmfdb_label': '112710.m1', 'torsion': [2, 4]}
  • id: 5178817
    {'degree': 8, 'field': [1218816, 0, -17684, 0, -7729, 0, -4, 0, 1], 'lmfdb_label': '112710.m1', 'torsion': [2, 4]}
  • id: 5178820
    {'degree': 12, 'field': [-72589464, 32346054, 11690595, -387582, 1349649, -123786, -95219, 0, 5475, -156, -123, 0, 1], 'lmfdb_label': '112710.m1', 'torsion': [2, 6]}
  • id: 5178819
    {'degree': 12, 'field': [3857296, -2162364, 911709, 47587, -19470, -34125, 5027, 312, -237, 137, 18, -3, 1], 'lmfdb_label': '112710.m1', 'torsion': [3, 6]}
  • id: 5178823
    {'degree': 16, 'field': [72900, 0, -89640, 0, 133921, 0, -17452, 0, -11136, 0, 22474, 0, 4404, 0, 128, 0, 1], 'lmfdb_label': '112710.m1', 'torsion': [2, 12]}
  • id: 5178822
    {'degree': 16, 'field': [34281848065, -38301733250, 18001811109, -2300627794, -2168419399, 974991366, 119094, -72742158, 9554814, 2430466, -491534, -43758, 11781, 240, -87, -8, 1], 'lmfdb_label': '112710.m1', 'torsion': [24]}
  • id: 5178821
    {'degree': 16, 'field': [11760428405025, 685860207750, -656271416090, -57480881870, 24545715396, 4902229448, -1415726500, -185699790, 44558341, 1314280, -332684, 38010, -6244, -70, 30, -8, 1], 'lmfdb_label': '112710.m1', 'torsion': [4, 4]}
  • id: 5178824
    {'degree': 16, 'field': [53834445142416, 0, -5240056829220, 0, 237862133721, 0, -6678282120, 0, 118423036, 0, -1113150, 0, 4276, 0, -60, 0, 1], 'lmfdb_label': '112710.m1', 'torsion': [2, 12]}
  • id: 5178825
    {'degree': 18, 'field': [3484854148245535, -4488719330605185, 1244481770720565, 257347524529836, 116059994450010, -10506494250954, -1225828699398, -154644760512, 48258720261, -6049654315, 768300003, 37982736, -11689506, -264834, 88830, 252, -261, -9, 1], 'lmfdb_label': '112710.m1', '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: 2770630
    {'conductor': 112710, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '112710.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2770631
    {'conductor': 112710, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '112710.m1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2770632
    {'conductor': 112710, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '112710.m1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2770633
    {'conductor': 112710, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '112710.m1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2770634
    {'conductor': 112710, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '112710.m1', '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

  
  
  • id: 2401643
    {'adelic_gens': [[1, 24, 0, 1], [1, 0, 24, 1], [16338, 1, 143, 8], [6631, 24, 0, 1], [7, 24, 492, 1687], [10626, 1, 10751, 8], [14022, 26519, 18577, 26512], [21, 4, 26420, 26501], [1, 12, 12, 145], [26497, 24, 26496, 25], [13261, 24, 13260, 1], [17681, 24, 17692, 289]], 'adelic_image': '26520.384.9.?', 'conductor': 112710, 'lmfdb_label': '112710.m1', 'prime': 0}
  • id: 446209
    {'conductor': 112710, 'elladic_image': '4.6.0.3', 'lmfdb_label': '112710.m1', 'modell_image': '2B', 'prime': 2}
  • id: 446210
    {'conductor': 112710, 'elladic_image': '3.4.0.1', 'lmfdb_label': '112710.m1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5882388
    {'lmfdb_iso': '112710.m', 'p': 7, 'prec': 20, 'unit': 11055842127360167, 'val': 1}
  • id: 5882393
    {'lmfdb_iso': '112710.m', 'p': 19, 'prec': 20, 'unit': 315508354016502310071890, 'val': 1}
  • id: 5882391
    {'lmfdb_iso': '112710.m', 'p': 29, 'prec': 20, 'unit': 399168632644464184473247016, 'val': 1}
  • id: 5882400
    {'lmfdb_iso': '112710.m', 'p': 31, 'prec': 20, 'unit': 10598650625094424010572517111, 'val': 1}
  • id: 5882387
    {'lmfdb_iso': '112710.m', 'p': 37, 'prec': 20, 'unit': 589714478559193355812908047483, 'val': 1}
  • id: 5882389
    {'lmfdb_iso': '112710.m', 'p': 41, 'prec': 20, 'unit': 2534521464143893504471666837895, 'val': 1}
  • id: 5882390
    {'lmfdb_iso': '112710.m', 'p': 43, 'prec': 20, 'unit': 5636473912607088827157814937284, 'val': 1}
  • id: 5882394
    {'lmfdb_iso': '112710.m', 'p': 53, 'prec': 20, 'unit': 409994493014474086433280934044752, 'val': 1}
  • id: 5882398
    {'lmfdb_iso': '112710.m', 'p': 59, 'prec': 20, 'unit': 51843896286985652472835520813042, 'val': 1}
  • id: 5882399
    {'lmfdb_iso': '112710.m', 'p': 61, 'prec': 20, 'unit': 1988990448485341832342030185668583, 'val': 1}
  • id: 5882386
    {'lmfdb_iso': '112710.m', 'p': 67, 'prec': 20, 'unit': 11457078121838094446678039032526031, 'val': 1}
  • id: 5882397
    {'lmfdb_iso': '112710.m', 'p': 71, 'prec': 20, 'unit': 45153999106459167605962712080528519, 'val': 1}
  • id: 5882395
    {'lmfdb_iso': '112710.m', 'p': 73, 'prec': 20, 'unit': 170977572172046985540764263419133269, 'val': 1}
  • id: 5882392
    {'lmfdb_iso': '112710.m', 'p': 79, 'prec': 20, 'unit': 597152266886367459570380321168942735, 'val': 1}
  • id: 5882396
    {'lmfdb_iso': '112710.m', 'p': 89, 'prec': 20, 'unit': 7002360418066526127475989867445768934, 'val': 1}
  • id: 5882385
    {'lmfdb_iso': '112710.m', 'p': 97, 'prec': 20, 'unit': 28990274052703424848628645233746915527, 'val': 1}