Elliptic curve data - 283920.dk7

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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': '283920dk', 'Clabel': '283920dk1', 'Cnumber': 1, 'abc_quality': 0.9780810097967987, 'absD': 76526494238638080, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -110920, 5040112], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 283920, 'degree': 2654208, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9321945474326382811550637030', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 88, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [7633736209, 3870720], 'lmfdb_iso': '283920.dk', 'lmfdb_label': '283920.dk7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41, -39], 'min_quad_twist_disc': -52, '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', '24.48.0.bs.1', '56.12.0.bb.1', '60.48.0.c.1', '84.48.0.?', '104.12.0.?', '120.96.1.?', '156.48.0.?', '168.96.1.?', '210.24.0.?', '312.96.0.?', '364.12.0.?', '420.96.1.?', '728.24.0.?', '780.96.0.?', '840.192.5.?', '1092.96.0.?', '1560.192.1.?', '2184.192.1.?', '5460.192.1.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '11.346556290020780762051292715', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17745], [3, 4, 94640], [5, 6, 56784], [7, 8, 40560], [13, 86, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.043427311858075396288912139242', 'prec': 110}, 'szpiro_ratio': 3.700354298795001, '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, -4, -2, -6, -8, -12, 6, -12, 2, 8, 0, -14, 16, 12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 283920, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '283920.dk', 'trace_hash': 420349295748950248}
• 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': '0.020975732706538604445970082407', 'prec': 107}, 'conductor': 283920, 'gens': [[-342, 1690, 1], [477, 7774, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9746897759050367787886553748', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.8176391865752972389467326325', 'prec': 100}], 'lmfdb_label': '283920.dk7', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.30397160453609842397507530843', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.796123685747107464790767418639479860', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[308, 0, 1]], 'xcoord_integral_points': [-342, 308, 477, 1332]}
• lmfdb_label 283920.dk7 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12075335
    {'degree': 2, 'field': [-195, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [4]}
  • id: 12075336
    {'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [4]}
  • id: 12075334
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 2]}
  • id: 12075337
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [6]}
  • id: 12075340
    {'degree': 4, 'field': [94, -34, 35, -2, 1], 'lmfdb_label': '283920.dk7', 'torsion': [12]}
  • id: 12075341
    {'degree': 4, 'field': [134, -30, 31, -2, 1], 'lmfdb_label': '283920.dk7', 'torsion': [12]}
  • id: 12075338
    {'degree': 4, 'field': [676, 0, -143, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 4]}
  • id: 12075339
    {'degree': 4, 'field': [1534, 26, -25, -2, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 6]}
  • id: 12075342
    {'degree': 6, 'field': [-58094, -8190, 4563, -70, -117, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [6]}
  • id: 12075344
    {'degree': 8, 'field': [-170, 580, -190, -740, 271, 116, -34, -4, 1], 'lmfdb_label': '283920.dk7', 'torsion': [8]}
  • id: 12075345
    {'degree': 8, 'field': [702, 1404, -750, -1356, 799, -148, 54, -4, 1], 'lmfdb_label': '283920.dk7', 'torsion': [8]}
  • id: 12075346
    {'degree': 8, 'field': [900, 0, 7680, 0, 1429, 0, 74, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 12]}
  • id: 12075343
    {'degree': 8, 'field': [923521, 0, 18259, 0, -2424, 0, 19, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 4]}
  • id: 12075350
    {'degree': 12, 'field': [-43176279, -55109256, -13806842, -2615488, 1529058, 57246, -332758, -26124, 12438, 692, -182, -6, 1], 'lmfdb_label': '283920.dk7', 'torsion': [12]}
  • id: 12075347
    {'degree': 12, 'field': [2825761, 0, 2724620, 0, 479688, 0, 47110, 0, 2568, 0, 80, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [3, 6]}
  • id: 12075348
    {'degree': 12, 'field': [2148061770, 404270730, -372989205, -61347270, 27658885, 3548790, -1068829, -96306, 22215, 1230, -235, -6, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 6]}
  • id: 12075349
    {'degree': 12, 'field': [3383695909, 322109656, -531626573, -26016610, 34119970, 1192756, -1171741, -30662, 22630, 380, -233, -2, 1], 'lmfdb_label': '283920.dk7', 'torsion': [12]}
  • id: 12075353
    {'degree': 16, 'field': [7650756, 0, -24607800, 0, 25631736, 0, -9780540, 0, 1734781, 0, -155120, 0, 6906, 0, -140, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 8]}
  • id: 12075355
    {'degree': 16, 'field': [15568996, -11115376, 12810456, -3636704, 2525496, -1083672, 697468, -182312, -75123, 62816, 4192, -8016, 426, 392, -36, -8, 1], 'lmfdb_label': '283920.dk7', 'torsion': [24]}
  • id: 12075356
    {'degree': 16, 'field': [76906872, -56520912, 33614392, -12839568, 9671116, -2112880, 866824, -459648, 75546, -40324, 12054, -2380, 903, -84, 42, -4, 1], 'lmfdb_label': '283920.dk7', 'torsion': [24]}
  • id: 12075352
    {'degree': 16, 'field': [418570681, 0, 228834232, 0, 42223148, 0, 5065800, 0, 549806, 0, 40680, 0, 2108, 0, 88, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 8]}
  • id: 12075351
    {'degree': 16, 'field': [1025280400, 0, -1208205300, 0, 1658310265, 0, -317464680, 0, 19560936, 0, -243126, 0, 8776, 0, -36, 0, 1], 'lmfdb_label': '283920.dk7', 'torsion': [4, 4]}
  • id: 12075354
    {'degree': 16, 'field': [1656049801, -1616521802, 566181126, -147353878, 114687204, -57966168, 7398952, 3199526, -890139, -142880, 92392, -12594, -996, 490, -30, -4, 1], 'lmfdb_label': '283920.dk7', 'torsion': [2, 12]}
  • id: 12075357
    {'degree': 18, 'field': [155385222008, -171562716024, 100959390684, -43962026600, 14625434310, -3502431942, 764693209, -102371100, 27932712, -5439570, 2851131, -559824, 180686, -21354, 5295, -428, 108, -6, 1], 'lmfdb_label': '283920.dk7', '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: 7032298
    {'conductor': 283920, 'conductor_valuation': 4, 'discriminant_valuation': 24, 'j_denominator_valuation': 12, 'kodaira_symbol': -20, 'lmfdb_label': '283920.dk7', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7032299
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '283920.dk7', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7032300
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '283920.dk7', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7032301
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '283920.dk7', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7032302
    {'conductor': 283920, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '283920.dk7', '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: 3454485
    {'adelic_gens': [[1, 12, 12, 145], [352, 9243, 3237, 4954], [15, 106, 9614, 1691], [623, 2496, 10218, 3353], [2536, 3783, 7241, 8594], [10897, 24, 10896, 25], [6719, 0, 0, 10919], [1, 24, 0, 1], [6969, 8788, 8060, 5669], [1, 0, 24, 1], [7216, 10101, 195, 2146]], 'adelic_image': '10920.384.5.?', 'conductor': 283920, 'lmfdb_label': '283920.dk7', 'prime': 0}
  • id: 1008363
    {'conductor': 283920, 'elladic_image': '4.6.0.1', 'lmfdb_label': '283920.dk7', 'modell_image': '2B', 'prime': 2}
  • id: 1008364
    {'conductor': 283920, 'elladic_image': '3.4.0.1', 'lmfdb_label': '283920.dk7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 283920.dk does not appear in ec_padic