Elliptic curve data - 333795.u2

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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': '333795u', 'Clabel': '333795u3', 'Cnumber': 3, 'abc_quality': 0.9446811808191499, 'absD': 4084004183198269532895, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 104720, 'ainvs': [1, 0, 0, -37887906, 89707511205], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 333795, 'degree': 33030144, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0846595478678226496400270962', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [249190794200766398401, 169196996731455], 'lmfdb_iso': '333795.u', 'lmfdb_label': '333795.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -131100, 18205230], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '68.12.0-4.c.1.2', '80.24.0.?', '112.24.0.?', '136.24.0.?', '176.24.0.?', '220.12.0.?', '280.24.0.?', '440.24.0.?', '560.48.0.?', '616.24.0.?', '880.48.0.?', '1232.48.0.?', '1360.48.0.?', '1904.48.0.?', '2992.48.0.?', '3080.48.0.?', '3740.24.0.?', '4760.48.0.?', '6160.96.0.?', '7480.48.0.?', '9520.96.0.?', '10472.48.0.?', '14960.96.0.?', '20944.96.0.?', '52360.96.0.?', '104720.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.1887657245871476188714837376', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6680528758397146095152597873', 'prec': 100}, 'szpiro_ratio': 5.029297905062676, '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, -1, 3, 1, 1, 1, -1, -2, 1, -1, -1, 0, -1, 4, 1], 'aplist': [-1, 1, -1, -1, 1, -2, 0, 4, -8, 10, -8, 2, 6, 4, -8, 6, 12, 2, 4, 0, -10, -8, 12, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 333795, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 2, 8, 4], [2, 4, 1, 2, 2, 4], [4, 2, 2, 1, 4, 2], [4, 8, 2, 4, 1, 8], [8, 4, 4, 2, 8, 1]], 'lmfdb_iso': '333795.u', 'trace_hash': 1446032638621011175}
• 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': '0.0020926604169162002019096935013', 'prec': 110}, 'conductor': 333795, 'gens': [[22959, 1958445, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '9.1887657245871476188714837376', 'prec': 100}], 'lmfdb_label': '333795.u2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13755191681138502291170892834', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0557293541908694077003152362313327410', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[14495, -14495, 2]], 'xcoord_integral_points': []}
• lmfdb_label 333795.u2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13990205
    {'degree': 2, 'field': [-935, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [4]}
  • id: 13990203
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [2, 2]}
  • id: 13990204
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '333795.u2', 'torsion': [4]}
  • id: 13990208
    {'degree': 4, 'field': [225, 0, -47, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [8]}
  • id: 13990207
    {'degree': 4, 'field': [926, 78, -77, -2, 1], 'lmfdb_label': '333795.u2', 'torsion': [8]}
  • id: 13990206
    {'degree': 4, 'field': [2546, 118, -117, -2, 1], 'lmfdb_label': '333795.u2', 'torsion': [2, 4]}
  • id: 13990212
    {'degree': 8, 'field': [-1665, 2772, -2880, 215, -104, -7, 7, -4, 1], 'lmfdb_label': '333795.u2', 'torsion': [6]}
  • id: 13990211
    {'degree': 8, 'field': [17901, 15606, -13120, -4866, 2169, 314, -100, -4, 1], 'lmfdb_label': '333795.u2', 'torsion': [2, 8]}
  • id: 13990209
    {'degree': 8, 'field': [574369156, 0, 4967672, 0, -46776, 0, 68, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [2, 4]}
  • id: 13990210
    {'degree': 8, 'field': [1412181241, 0, -23458528, 0, 162774, 0, -592, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [8]}
  • id: 13990218
    {'degree': 16, 'field': [200533921, 0, -94368904, 0, 11102224, 0, 987513, 0, -201144, 0, -11577, 0, 289, 0, -34, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [12]}
  • id: 13990216
    {'degree': 16, 'field': [194617780732, -88324211596, -28205274622, 18087469822, 1949476041, -1783505788, -63440622, 98272588, 2549489, -3254830, -150063, 58984, 6777, -784, -76, -2, 1], 'lmfdb_label': '333795.u2', 'torsion': [16]}
  • id: 13990219
    {'degree': 16, 'field': [1687513750565, -583371998110, 613639202259, -59595961770, 27473827590, 2728889694, -813705053, -73676252, 7556565, 7523500, -1786487, 153624, -25513, -70, 30, -8, 1], 'lmfdb_label': '333795.u2', 'torsion': [12]}
  • id: 13990217
    {'degree': 16, 'field': [71994227047605, 12658522928040, -11858797007766, -1571125378530, 715382743680, 82443768344, -24555222193, -2453138392, 545260820, 44435540, -7979707, -487016, 74587, 3010, -410, -8, 1], 'lmfdb_label': '333795.u2', 'torsion': [2, 6]}
  • id: 13990214
    {'degree': 16, 'field': [3969745935410176, -328957430714880, -25257975885504, 2038169696640, 1562256211450, -102800399460, -10071547146, 283946520, 246771249, -12686520, 17514, -6600, 23320, -660, 36, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [2, 8]}
  • id: 13990215
    {'degree': 16, 'field': [294512648226020596, 34496917438616648, -33164016656704900, -2642661127202040, 1263684415551950, 68602496699464, -21915577553198, -810179328300, 195369568885, 4758165600, -926326058, -13757884, 2254700, 17640, -2500, -8, 1], 'lmfdb_label': '333795.u2', 'torsion': [16]}
  • id: 13990213
    {'degree': 16, 'field': [344706120402969796, 0, 1539755205588216, 0, -55432957038800, 0, -105728925996, 0, 3550470549, 0, 877824, 0, -96470, 0, 36, 0, 1], 'lmfdb_label': '333795.u2', 'torsion': [4, 4]}
• 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: 8262560
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '333795.u2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8262561
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '333795.u2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8262562
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '333795.u2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8262563
    {'conductor': 333795, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '333795.u2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8262564
    {'conductor': 333795, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '333795.u2', '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: 3752423
    {'adelic_gens': [[1, 16, 0, 1], [65458, 78547, 39295, 52382], [1, 16, 26188, 26309], [74813, 16, 89504, 104405], [15, 2, 104622, 104707], [57128, 1, 66719, 10], [67759, 104704, 18472, 104591], [1, 0, 16, 1], [104705, 16, 104704, 17], [5, 4, 104716, 104717], [83792, 5, 104675, 104706]], 'adelic_image': '104720.192.1.?', 'conductor': 333795, 'lmfdb_label': '333795.u2', 'prime': 0}
  • id: 1161665
    {'conductor': 333795, 'elladic_image': '8.12.0.5', 'lmfdb_label': '333795.u2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 333795.u does not appear in ec_padic