Elliptic curve data - 283920.dl7

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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': '283920dl', 'Clabel': '283920dl1', 'Cnumber': 1, 'abc_quality': 0.9604102457183549, 'absD': 59968413634070949396480, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -9257200, -16007601728], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 283920, 'degree': 27869184, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0710954155402139528823488823', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 89, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-4437543642183289, 3033210136320], 'lmfdb_iso': '283920.dl', 'lmfdb_label': '283920.dl7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3424, 113582], 'min_quad_twist_disc': -52, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.48.0-12.g.1.7', '24.96.0-24.bt.2.28', '156.96.0.?', '312.192.1.?', '420.96.0.?', '840.192.1.?', '910.6.0.?', '1820.24.0.?', '2730.24.0.?', '5460.192.1.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0954735562495002754383730401', 'prec': 100}, 'szpiro_ratio': 4.8195310622631515, '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, 0, -1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, -6, 0, -4, 0], 'aplist': [0, -1, 1, 1, 0, 0, -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': 283920, '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': '283920.dl', 'trace_hash': 2099261739611289196}
• 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': '0.0021502077124215429415738132317', 'prec': 110}, 'conductor': 283920, 'gens': [], 'heights': [], 'lmfdb_label': '283920.dl7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.042000633368869756826931203122', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0080152008528741638463488749355773120', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[3688, 0, 1]], 'xcoord_integral_points': [3688]}
• lmfdb_label 283920.dl7 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12075507
    {'degree': 2, 'field': [-455, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [4]}
  • id: 12075508
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [4]}
  • id: 12075509
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [6]}
  • id: 12075506
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 2]}
  • id: 12075514
    {'degree': 4, 'field': [9, 0, 7, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [12]}
  • id: 12075513
    {'degree': 4, 'field': [29, -44, 45, -2, 1], 'lmfdb_label': '283920.dl7', 'torsion': [12]}
  • id: 12075512
    {'degree': 4, 'field': [144, 0, -11, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 6]}
  • id: 12075511
    {'degree': 4, 'field': [11375, 0, 0, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 4]}
  • id: 12075510
    {'degree': 4, 'field': [12996, 0, -227, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 4]}
  • id: 12075515
    {'degree': 6, 'field': [-1911, 0, -377, 0, -13, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [6]}
  • id: 12075519
    {'degree': 8, 'field': [1044, -1980, 2666, -1422, 837, -154, 56, -4, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 12]}
  • id: 12075518
    {'degree': 8, 'field': [8464, 12880, 9800, 4716, 1409, 210, 2, -2, 1], 'lmfdb_label': '283920.dl7', 'torsion': [8]}
  • id: 12075517
    {'degree': 8, 'field': [10816, 0, -8684, 0, 1161, 0, -74, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [8]}
  • id: 12075520
    {'degree': 8, 'field': [2283316, 1409912, 446285, 67732, 5534, 1088, 110, -2, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 12]}
  • id: 12075516
    {'degree': 8, 'field': [8088336, -5688, 2, 11370, -5679, -10, 8, -4, 1], 'lmfdb_label': '283920.dl7', 'torsion': [4, 4]}
  • id: 12075524
    {'degree': 12, 'field': [1397124, 0, -484980, 0, 63628, 0, -4115, 0, 447, 0, -5, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [12]}
  • id: 12075523
    {'degree': 12, 'field': [2556801, 0, -232206, 0, 161395, 0, -33800, 0, 1755, 0, -26, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [12]}
  • id: 12075521
    {'degree': 12, 'field': [3651921, 0, -720447, 0, 117286, 0, -8723, 0, 546, 0, 13, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [3, 6]}
  • id: 12075522
    {'degree': 12, 'field': [741690756, 0, 31533396, 0, 5272000, 0, 303985, 0, 10275, 0, 151, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 6]}
  • id: 12075530
    {'degree': 16, 'field': [3721, 628178, 53024402, 7981316, 612093, 971780, 1421142, 35306, -1892, 24862, 9510, -1148, 237, 124, 2, -2, 1], 'lmfdb_label': '283920.dl7', 'torsion': [24]}
  • id: 12075529
    {'degree': 16, 'field': [2313441, 0, -6999642, 0, 20875725, 0, -982722, 0, 139324, 0, 13582, 0, 285, 0, 22, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [24]}
  • id: 12075526
    {'degree': 16, 'field': [84934656, 0, 68060160, 0, 26947456, 0, 4284420, 0, 280521, 0, 6020, 0, 1086, 0, 0, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 8]}
  • id: 12075525
    {'degree': 16, 'field': [96904336, -33981488, 5958152, 102030892, 591208385, 42760910, 2368962, 5139938, 2191503, 582964, 54308, -8200, -225, 46, 18, -6, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 8]}
  • id: 12075528
    {'degree': 16, 'field': [3393761536, -3976321536, 2329440768, -1067543296, -2966048, 125500800, 22895552, -16474768, 9745425, 694322, 20162, 8160, -3833, -16, 18, -6, 1], 'lmfdb_label': '283920.dl7', 'torsion': [4, 12]}
  • id: 12075527
    {'degree': 16, 'field': [2558431086636096, 0, 60313745297232, 0, 813313735353, 0, -2594771676, 0, -6026265, 0, -381416, 0, 3983, 0, -28, 0, 1], 'lmfdb_label': '283920.dl7', 'torsion': [2, 8]}
  • id: 12075531
    {'degree': 18, 'field': [43486584043904, 35890411032192, 45287817068352, 11566985142784, 2002394561952, -222948015264, -154793237104, -26106809856, -21397536, 228243536, 113857344, 5333376, 478180, -76752, 14316, 1012, -210, -6, 1], 'lmfdb_label': '283920.dl7', '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: 7032338
    {'conductor': 283920, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '283920.dl7', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7032339
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '283920.dl7', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7032340
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '283920.dl7', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7032341
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '283920.dl7', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 7032342
    {'conductor': 283920, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '283920.dl7', 'prime': 13, '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: 3454493
    {'adelic_gens': [[3201, 5008, 10916, 2189], [5461, 24, 7292, 9389], [1, 12, 12, 145], [15, 106, 9614, 1691], [10897, 24, 10896, 25], [9224, 10917, 6339, 86], [1, 24, 0, 1], [4696, 21, 4395, 10546], [8752, 21, 10635, 10546], [8183, 10896, 7698, 9233], [1, 0, 24, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 283920, 'lmfdb_label': '283920.dl7', 'prime': 0}
  • id: 1008379
    {'conductor': 283920, 'elladic_image': '4.12.0.8', 'lmfdb_label': '283920.dl7', 'modell_image': '2B', 'prime': 2}
  • id: 1008380
    {'conductor': 283920, 'elladic_image': '3.4.0.1', 'lmfdb_label': '283920.dl7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 283920.dl does not appear in ec_padic