Elliptic curve data - 274890.n2

Formats: - HTML - YAML - JSON - 2024-05-11T14:22:11.306702

• 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': '274890n', 'Clabel': '274890n8', 'Cnumber': 8, 'abc_quality': 1.025427885355602, 'absD': 723834393087634243947840000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 157080, 'ainvs': [1, 1, 0, -620426363, 5805359562717], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 274890, 'degree': 191102976, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9337425234397187313670953467', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [224494757451893010998773801, 6152490825146276160000], 'lmfdb_iso': '274890.n', 'lmfdb_label': '274890.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12661763, -16927055362], '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', '12.24.0.g.1', '21.8.0-3.a.1.2', '24.48.0.bu.1', '42.24.0-6.a.1.4', '84.48.0.?', '132.48.0.?', '168.96.0.?', '264.96.1.?', '308.12.0.?', '924.96.0.?', '1848.192.1.?', '2040.96.1.?', '4760.12.0.?', '7480.12.0.?', '14280.192.1.?', '22440.192.5.?', '52360.24.0.?', '157080.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '14.333916956954353077738552441', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9607874489120620788144189750', 'prec': 100}, 'szpiro_ratio': 5.776958309696605, '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, 1, -1, -2, 0, 1, 1, 1, -1, 4, -1], 'aplist': [-1, -1, -1, 0, 1, -2, 1, 4, 0, -6, -8, -10, -6, -4, -12, 6, -12, -2, 8, -12, -2, 8, 12, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 274890, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '274890.n', 'trace_hash': 1170790504979344625}
• 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': '0.00038299636990650823361031249595', 'prec': 113}, 'conductor': 274890, 'gens': [[16471, 226577, 1], [170203, 24434399, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1574993152889004904430815811', 'prec': 100}, {'__RealLiteral__': 0, 'data': '5.2366327250891871980143173226', 'prec': 100}], 'lmfdb_label': '274890.n2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.050559270384601516621778658158', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6965485971649565884958686049063952490', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-114741, 114741, 2]], 'xcoord_integral_points': [-2603, 16471]}
• lmfdb_label 274890.n2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11722152
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 2]}
  • id: 11722155
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '274890.n2', 'torsion': [6]}
  • id: 11722154
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [4]}
  • id: 11722153
    {'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [4]}
  • id: 11722159
    {'degree': 4, 'field': [51, 6, -5, -2, 1], 'lmfdb_label': '274890.n2', 'torsion': [12]}
  • id: 11722158
    {'degree': 4, 'field': [121, 0, 55, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [12]}
  • id: 11722157
    {'degree': 4, 'field': [484, 0, -110, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 6]}
  • id: 11722156
    {'degree': 4, 'field': [729, 0, -12, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 4]}
  • id: 11722160
    {'degree': 6, 'field': [28058, -1497, -477, 317, 9, -3, 1], 'lmfdb_label': '274890.n2', 'torsion': [6]}
  • id: 11722161
    {'degree': 8, 'field': [4356, 0, 0, 0, -5214, 0, 0, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 4]}
  • id: 11722164
    {'degree': 8, 'field': [19881, 0, 3036, 0, 535, 0, -44, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 12]}
  • id: 11722162
    {'degree': 8, 'field': [28969616, -6130064, 1292144, -105568, 77874, 314, 571, -2, 1], 'lmfdb_label': '274890.n2', 'torsion': [8]}
  • id: 11722163
    {'degree': 8, 'field': [477247716, 0, -345168, 0, 85308, 0, -408, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [8]}
  • id: 11722165
    {'degree': 12, 'field': [697382464, 38898984, -11377575, 18871537, 530736, -281697, 170267, 1464, -1461, 659, 0, -3, 1], 'lmfdb_label': '274890.n2', 'torsion': [3, 6]}
  • id: 11722168
    {'degree': 12, 'field': [898679182, -302607804, 87351057, -23390950, 1699161, -82632, 169061, -7170, 3111, -560, -9, -6, 1], 'lmfdb_label': '274890.n2', 'torsion': [12]}
  • id: 11722167
    {'degree': 12, 'field': [1110242582, -678089934, 207056127, -35325930, 2937681, 516378, 155791, -11190, 3891, -410, -39, -6, 1], 'lmfdb_label': '274890.n2', 'torsion': [12]}
  • id: 11722166
    {'degree': 12, 'field': [27223515064, 10889808, -2474568, -16500640, 7425780, 989268, -329419, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 6]}
  • id: 11722169
    {'degree': 16, 'field': [734449, 0, 381066320, 0, 118477552, 0, 108791288, 0, 27371854, 0, 20912, 0, -10400, 0, 8, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [4, 4]}
  • id: 11722172
    {'degree': 16, 'field': [2890000, 0, -230680000, 0, 45345904, 0, -18628576, 0, 2520604, 0, -12592, 0, -2924, 0, -16, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 12]}
  • id: 11722173
    {'degree': 16, 'field': [11919849340249, -367853417466, 386037892850, -37317521854, 21044503880, -2903077848, 1034981288, -58300806, 15360169, -529248, 111376, -2510, 24, 154, -2, -8, 1], 'lmfdb_label': '274890.n2', 'torsion': [24]}
  • id: 11722174
    {'degree': 16, 'field': [333213716570275, 9058696493200, -9192602537340, 262440637880, -117746983564, -16293038712, 5638951360, -177305480, 43128801, 858520, -233084, 35040, -7114, 560, -60, -8, 1], 'lmfdb_label': '274890.n2', 'torsion': [24]}
  • id: 11722171
    {'degree': 16, 'field': [407791537434801, 0, -39330851211648, 0, 1064918633652, 0, -9091731648, 0, 521422678, 0, -2196224, 0, 44628, 0, 64, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 8]}
  • id: 11722170
    {'degree': 16, 'field': [3057007055675364, 2186615906221824, 661054456782720, 68282373002976, -10306439177256, -3386288453328, -112606576272, 54977712768, 5486811912, -433700784, -65887632, 1718640, 375636, -2376, -984, 0, 1], 'lmfdb_label': '274890.n2', 'torsion': [2, 8]}
  • id: 11722175
    {'degree': 18, 'field': [-540288551966400, -423691080598800, -6511376348100, 37025417674290, 13103397508905, 660143720445, -457292789513, -104610517782, -1806876306, 2759394994, 343390536, -25780284, -7254624, -17730, 71646, 1924, -393, -9, 1], 'lmfdb_label': '274890.n2', '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: 6808389
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '274890.n2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6808390
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '274890.n2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6808391
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '274890.n2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6808392
    {'conductor': 274890, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '274890.n2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6808393
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '274890.n2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6808394
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '274890.n2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
• ec_galrep •

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

  
  
  • id: 3400432
    {'adelic_gens': [[31417, 112224, 40404, 90049], [1, 0, 24, 1], [1, 24, 0, 1], [36961, 112224, 106932, 90049], [46936, 112203, 54621, 44794], [15, 106, 155774, 147851], [37416, 41153, 34391, 135234], [1, 12, 12, 145], [39271, 112224, 39270, 1], [157057, 24, 157056, 25], [34602, 105679, 29477, 101732], [22439, 0, 0, 157079]], 'adelic_image': '157080.384.5.?', 'conductor': 274890, 'lmfdb_label': '274890.n2', 'prime': 0}
  • id: 980456
    {'conductor': 274890, 'elladic_image': '4.6.0.1', 'lmfdb_label': '274890.n2', 'modell_image': '2B', 'prime': 2}
  • id: 980457
    {'conductor': 274890, 'elladic_image': '3.4.0.1', 'lmfdb_label': '274890.n2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 274890.n does not appear in ec_padic