Elliptic curve data - 20328.g1

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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': '20328p', 'Clabel': '20328p3', 'Cnumber': 3, 'abc_quality': 1.0343723816646346, 'absD': 14794609122673259564095488, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, -1, 0, -77468112, 186113921292], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20328, 'degree': 5529600, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5360862944647843438741392926', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [14171198121996897746, 4077720290568771], 'lmfdb_iso': '20328.g', 'lmfdb_label': '20328.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -640232, -139597332], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.bb.1.5', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '41.371189882584784176921408165', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7017537425523158715440380589', 'prec': 100}, 'szpiro_ratio': 6.664452606542005, '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, 2, 0, -1, 0, 1, 0, 0, 0, 6, 0, -2, 0, 2, 0, 8, 0], 'aplist': [0, -1, 2, -1, 0, 6, 2, 8, -4, -2, -8, 6, 2, -8, -4, 2, -12, -10, -12, -12, -10, 8, -12, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 20328, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '20328.g', 'trace_hash': 1212777698037803773}
• 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': '0.00084838790728458355066594015817', 'prec': 113}, 'conductor': 20328, 'gens': [[-8571599963857500611, 166258746114388609391867662687, 66133230]], 'heights': [{'__RealLiteral__': 0, 'data': '41.371189882584784176921408165', 'prec': 100}], 'lmfdb_label': '20328.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.065253777332154070263394411055', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3992528251289056028285129862519730895', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-9819, 0, 1]], 'xcoord_integral_points': [-9819]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '20328.g1'}
• ec_torsion_growth •

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

  
  
  • id: 1038898
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [2, 2]}
  • id: 1038900
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [4]}
  • id: 1038899
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [4]}
  • id: 1038901
    {'degree': 4, 'field': [-88, 0, 0, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [2, 4]}
  • id: 1038902
    {'degree': 4, 'field': [121, 0, 0, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [2, 4]}
  • id: 1038906
    {'degree': 8, 'field': [-249, -1116, -214, 42, -138, -58, -6, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [6]}
  • id: 1038905
    {'degree': 8, 'field': [144, 0, 444, 0, 193, 0, 26, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [8]}
  • id: 1038904
    {'degree': 8, 'field': [256, 0, 0, 0, 56, 0, 0, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [8]}
  • id: 1038903
    {'degree': 8, 'field': [529, 0, -260, 0, 50, 0, 4, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [4, 4]}
  • id: 1038907
    {'degree': 16, 'field': [-158144, 242176, 527616, -11264, -102400, -107008, 65152, 50688, 25584, -2112, -2720, -1408, -64, 0, 16, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [2, 8]}
  • id: 1038909
    {'degree': 16, 'field': [9, 0, 1200, 0, 6622, 0, 10812, 0, 7743, 0, 2708, 0, 462, 0, 36, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [2, 8]}
  • id: 1038908
    {'degree': 16, 'field': [9, 0, 2640, 0, 3472, 0, 728, 0, 774, 0, 112, 0, 0, 0, 8, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [2, 8]}
  • id: 1038912
    {'degree': 16, 'field': [62001, 0, 1138884, 0, 208264, 0, 69168, 0, 25986, 0, 2136, 0, -240, 0, 12, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [12]}
  • id: 1038910
    {'degree': 16, 'field': [1256641, 0, -853208, 0, 570532, 0, -251772, 0, 61302, 0, -9192, 0, 856, 0, -44, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [2, 6]}
  • id: 1038911
    {'degree': 16, 'field': [1256641, 0, 853208, 0, 570532, 0, 251772, 0, 61302, 0, 9192, 0, 856, 0, 44, 0, 1], 'lmfdb_label': '20328.g1', 'torsion': [12]}
• 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: 461584
    {'conductor': 20328, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '20328.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 461585
    {'conductor': 20328, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '20328.g1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 461586
    {'conductor': 20328, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '20328.g1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 461587
    {'conductor': 20328, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '20328.g1', 'prime': 11, 'reduction_type': 0, '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: 1799958
    {'adelic_gens': [[232, 107, 235, 0], [89, 8, 92, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 258, 259], [160, 261, 67, 262], [257, 8, 256, 9], [168, 41, 91, 78]], 'adelic_image': '264.48.0.?', 'conductor': 20328, 'lmfdb_label': '20328.g1', 'prime': 0}
  • id: 94789
    {'conductor': 20328, 'elladic_image': '4.12.0.8', 'lmfdb_label': '20328.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 945510
    {'lmfdb_iso': '20328.g', 'p': 5, 'prec': 20, 'unit': 13939608449873, 'val': 1}
  • id: 945516
    {'lmfdb_iso': '20328.g', 'p': 13, 'prec': 20, 'unit': 8390080068116249638, 'val': 3}
  • id: 945518
    {'lmfdb_iso': '20328.g', 'p': 17, 'prec': 20, 'unit': 129239873399448189611784, 'val': 1}
  • id: 945519
    {'lmfdb_iso': '20328.g', 'p': 19, 'prec': 20, 'unit': 657700105052515780904936, 'val': 1}
  • id: 945523
    {'lmfdb_iso': '20328.g', 'p': 23, 'prec': 20, 'unit': 29091290554430408834095345, 'val': 1}
  • id: 945515
    {'lmfdb_iso': '20328.g', 'p': 29, 'prec': 20, 'unit': 5897859672987646270157741786, 'val': 1}
  • id: 945512
    {'lmfdb_iso': '20328.g', 'p': 31, 'prec': 20, 'unit': 19699204520627402308187219440, 'val': 1}
  • id: 945527
    {'lmfdb_iso': '20328.g', 'p': 37, 'prec': 20, 'unit': 496753015555406817830111072182, 'val': 1}
  • id: 945513
    {'lmfdb_iso': '20328.g', 'p': 41, 'prec': 20, 'unit': 315373765118979453603612138171, 'val': 1}
  • id: 945514
    {'lmfdb_iso': '20328.g', 'p': 43, 'prec': 20, 'unit': 535942580714672614268600733512, 'val': 1}
  • id: 945525
    {'lmfdb_iso': '20328.g', 'p': 47, 'prec': 20, 'unit': 17486481123440922023923321643412, 'val': 1}
  • id: 945520
    {'lmfdb_iso': '20328.g', 'p': 53, 'prec': 20, 'unit': 93143018297263033399327335652377, 'val': 1}
  • id: 945521
    {'lmfdb_iso': '20328.g', 'p': 59, 'prec': 20, 'unit': 4301084010170012689952229963158234, 'val': 1}
  • id: 945526
    {'lmfdb_iso': '20328.g', 'p': 61, 'prec': 20, 'unit': 1487064639030331683085869104926583, 'val': 1}
  • id: 945509
    {'lmfdb_iso': '20328.g', 'p': 67, 'prec': 20, 'unit': 8679415284976508496298749627872066, 'val': 1}
  • id: 945511
    {'lmfdb_iso': '20328.g', 'p': 71, 'prec': 20, 'unit': 99133313634055294060008121443740816, 'val': 1}
  • id: 945522
    {'lmfdb_iso': '20328.g', 'p': 73, 'prec': 20, 'unit': 70604115936022709630663433902250875, 'val': 1}
  • id: 945517
    {'lmfdb_iso': '20328.g', 'p': 79, 'prec': 20, 'unit': 102227133645944345081606339802686835, 'val': 1}
  • id: 945508
    {'lmfdb_iso': '20328.g', 'p': 83, 'prec': 20, 'unit': 1515301438059830871666543255906272312, 'val': 1}
  • id: 945524
    {'lmfdb_iso': '20328.g', 'p': 89, 'prec': 20, 'unit': 10609308255540351407381497915321067596, 'val': 1}
  • id: 945507
    {'lmfdb_iso': '20328.g', 'p': 97, 'prec': 20, 'unit': 53080737456320039796505167461833022301, 'val': 1}