Elliptic curve data - 102410.z1

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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': '102410o', 'Clabel': '102410o4', 'Cnumber': 4, 'abc_quality': 0.9673933417704673, 'absD': 601923833697032000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 87780, 'ainvs': [1, 1, 0, -2116482, 1183671476], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 102410, 'degree': 2903040, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3575701116627576313720834256', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8912089320684236569, 5116268168000], 'lmfdb_iso': '102410.z', 'lmfdb_label': '102410.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -43194, -3457108], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '21.8.0-3.a.1.2', '30.24.0.a.1', '42.24.0-6.a.1.4', '210.48.0.?', '836.6.0.?', '2508.24.0.?', '4180.12.0.?', '12540.48.1.?', '17556.48.0.?', '87780.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1348996132898116467510259881', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 245], [3, 2, 931], [5, 6, 20482], [7, 26, 2090], [11, 12, 9310], [19, 20, 5390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3846150371351009788194070539', 'prec': 100}, 'szpiro_ratio': 4.794196886215084, '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, 2, 1, 1, -2, 0, -1, 1, -1, -1, 2, -2, 0, 2, 1, 0, -1, -1, 1], 'aplist': [-1, 2, 1, 0, -1, -2, 0, -1, 0, -6, 4, 8, -6, 2, 12, -12, -12, 10, 14, 0, -8, -16, -6, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 102410, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '102410.z', 'trace_hash': 565958160408353630}
• 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': '0.0089586097727457485501093237773', 'prec': 110}, 'conductor': 102410, 'gens': [[812, 734, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1348996132898116467510259881', 'prec': 100}], 'lmfdb_label': '102410.z1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28627917904427116904055506660', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3341277036144712275330875680695501020', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[3419, -3419, 2]], 'xcoord_integral_points': [812]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '102410.z1'}
• ec_torsion_growth •

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

  
  
  • id: 4745527
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '102410.z1', 'torsion': [6]}
  • id: 4745526
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '102410.z1', 'torsion': [2, 2]}
  • id: 4745529
    {'degree': 4, 'field': [16, 0, -13, 0, 1], 'lmfdb_label': '102410.z1', 'torsion': [2, 6]}
  • id: 4745528
    {'degree': 4, 'field': [980, 0, -119, 0, 1], 'lmfdb_label': '102410.z1', 'torsion': [4]}
  • id: 4745530
    {'degree': 6, 'field': [368, -340, 34, 33, -7, -1, 1], 'lmfdb_label': '102410.z1', 'torsion': [6]}
  • id: 4745533
    {'degree': 8, 'field': [400, 0, -1700, 0, 749, 0, -85, 0, 1], 'lmfdb_label': '102410.z1', 'torsion': [12]}
  • id: 4745531
    {'degree': 8, 'field': [384400, 0, -8800, 0, 1540, 0, -40, 0, 1], 'lmfdb_label': '102410.z1', 'torsion': [2, 4]}
  • id: 4745532
    {'degree': 8, 'field': [631205, 245410, -229164, -32250, 15521, 722, -236, -4, 1], 'lmfdb_label': '102410.z1', 'torsion': [2, 4]}
  • id: 4745534
    {'degree': 12, 'field': [400, -1560, 2288, -1014, 327, 21, -167, 90, 6, 12, -1, -3, 1], 'lmfdb_label': '102410.z1', 'torsion': [3, 6]}
  • id: 4745535
    {'degree': 12, 'field': [106304, 228816, 182332, 47852, -7149, -7983, -725, 836, 192, -60, -11, -1, 1], 'lmfdb_label': '102410.z1', 'torsion': [2, 6]}
  • id: 4745538
    {'degree': 16, 'field': [57220, 824740, 2344534, -3162678, -5174395, 4961010, 3091472, -3101042, -366204, 659230, -32626, -50922, 5848, 1190, -150, -8, 1], 'lmfdb_label': '102410.z1', 'torsion': [2, 12]}
  • id: 4745537
    {'degree': 16, 'field': [22609945, 10869770, -11755315, 13155690, 7029891, -9130928, 6266888, -2692704, 2293028, -1015476, 194092, -18884, 2023, -86, 63, -2, 1], 'lmfdb_label': '102410.z1', 'torsion': [2, 12]}
  • id: 4745536
    {'degree': 16, 'field': [27984100000000, 0, -18695706400000, 0, 2618224658000, 0, -100224171200, 0, 1400649100, 0, -11162480, 0, 73805, 0, -388, 0, 1], 'lmfdb_label': '102410.z1', 'torsion': [8]}
  • id: 4745539
    {'degree': 18, 'field': [102287107917, -321867307449, -56019212271, 175345047768, 75634696206, -13843267374, -15856900178, -2170860024, 470673675, 139207921, 14669415, -2144376, -742746, 1026, 15558, 712, -147, -9, 1], 'lmfdb_label': '102410.z1', '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: 2514381
    {'conductor': 102410, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '102410.z1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2514382
    {'conductor': 102410, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '102410.z1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2514383
    {'conductor': 102410, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '102410.z1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2514384
    {'conductor': 102410, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '102410.z1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2514385
    {'conductor': 102410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '102410.z1', 'prime': 19, '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: 2336629
    {'adelic_gens': [[50159, 0, 0, 87779], [42855, 38668, 17738, 1037], [11, 2, 87730, 87771], [87769, 12, 87768, 13], [1, 0, 12, 1], [60061, 37632, 71946, 50233], [1, 6, 6, 37], [71821, 37632, 54726, 50233], [1, 12, 0, 1], [29261, 37632, 29260, 1], [50170, 75243, 77721, 37612]], 'adelic_image': '87780.96.1.?', 'conductor': 102410, 'lmfdb_label': '102410.z1', 'prime': 0}
  • id: 410453
    {'conductor': 102410, 'elladic_image': '2.3.0.1', 'lmfdb_label': '102410.z1', 'modell_image': '2B', 'prime': 2}
  • id: 410454
    {'conductor': 102410, 'elladic_image': '3.4.0.1', 'lmfdb_label': '102410.z1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5329971
    {'lmfdb_iso': '102410.z', 'p': 13, 'prec': 20, 'unit': 448679043122628479111, 'val': 1}
  • id: 5329970
    {'lmfdb_iso': '102410.z', 'p': 29, 'prec': 20, 'unit': 4925929831363602671693249139, 'val': 1}
  • id: 5329980
    {'lmfdb_iso': '102410.z', 'p': 31, 'prec': 20, 'unit': 9279835533920132043300859672, 'val': 1}
  • id: 5329967
    {'lmfdb_iso': '102410.z', 'p': 37, 'prec': 20, 'unit': 396236402795542999785221740671, 'val': 1}
  • id: 5329968
    {'lmfdb_iso': '102410.z', 'p': 41, 'prec': 20, 'unit': 1907428384274018390442182166281, 'val': 1}
  • id: 5329969
    {'lmfdb_iso': '102410.z', 'p': 43, 'prec': 20, 'unit': 2812074266634400849794079800352, 'val': 1}
  • id: 5329978
    {'lmfdb_iso': '102410.z', 'p': 47, 'prec': 20, 'unit': 1238693364535823612111945723618, 'val': 2}
  • id: 5329975
    {'lmfdb_iso': '102410.z', 'p': 53, 'prec': 20, 'unit': 499614876425935916846574699279689, 'val': 1}
  • id: 5329973
    {'lmfdb_iso': '102410.z', 'p': 59, 'prec': 20, 'unit': 1019996471801482971549595166711521, 'val': 1}
  • id: 5329979
    {'lmfdb_iso': '102410.z', 'p': 61, 'prec': 20, 'unit': 4594599244496017730347099824550440, 'val': 1}
  • id: 5329966
    {'lmfdb_iso': '102410.z', 'p': 67, 'prec': 20, 'unit': 43727239574807986009708601577579293, 'val': 1}
  • id: 5329976
    {'lmfdb_iso': '102410.z', 'p': 73, 'prec': 20, 'unit': 149745945645639823123451670422911719, 'val': 1}
  • id: 5329972
    {'lmfdb_iso': '102410.z', 'p': 79, 'prec': 20, 'unit': 543059238678038525296675687179578810, 'val': 1}
  • id: 5329974
    {'lmfdb_iso': '102410.z', 'p': 83, 'prec': 20, 'unit': 13020113241757388117513524414250971, 'val': 2}
  • id: 5329977
    {'lmfdb_iso': '102410.z', 'p': 89, 'prec': 20, 'unit': 10590241742399616173669288232723521722, 'val': 1}
  • id: 5329965
    {'lmfdb_iso': '102410.z', 'p': 97, 'prec': 20, 'unit': 49034756156117895090982802666282715205, 'val': 1}