Elliptic curve data - 59850.di1

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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': '59850cd', 'Clabel': '59850cd4', 'Cnumber': 4, 'abc_quality': 1.0308751752376573, 'absD': 3491397330750000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -2822401692, 57714064299216], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 59850, 'degree': 20643840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7229721783956141043369375448', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 86, 'isogeny_degrees': [1, 2, 4], 'jinv': [218289391029690300712901881, 306514992000], 'lmfdb_iso': '59850.di', 'lmfdb_label': '59850.di1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -12544007, -17105481099], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.2', '120.24.0.?', '152.12.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6186425657699035413534647842', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3689470778445090713389352597', 'prec': 100}, 'szpiro_ratio': 6.99081676566561, '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, 0, 1, 0, 0, 1, -1, 0, 0, 4, 0, -2, -1, 0, 1, 6, 0, -1, 0], 'aplist': [-1, 0, 0, 1, 4, -2, 6, -1, -4, -6, -4, 6, -6, 0, -4, 2, -8, -2, 12, 0, -10, 4, 4, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 59850, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '59850.di', 'trace_hash': 796960140286115211}
• 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': '0.00058380452023671931494086353580', 'prec': 113}, 'conductor': 59850, 'gens': [[37479, 2120898, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.6186425657699035413534647842', 'prec': 100}], 'lmfdb_label': '59850.di1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11274118515708767194464282057', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0676193747116707418700396314740979934', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[122691, -122691, 2]], 'xcoord_integral_points': [37479]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [4, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '59850.di1'}
• ec_torsion_growth •

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

  
  
  • id: 2875474
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [2, 2]}
  • id: 2875475
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [4]}
  • id: 2875476
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [4]}
  • id: 2875477
    {'degree': 4, 'field': [25, 0, -20, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [2, 4]}
  • id: 2875481
    {'degree': 8, 'field': [-51390, -29025, -7011, 3183, 1665, -123, 47, -3, 1], 'lmfdb_label': '59850.di1', 'torsion': [6]}
  • id: 2875479
    {'degree': 8, 'field': [97344, 0, -35712, 0, 3048, 0, -96, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [8]}
  • id: 2875480
    {'degree': 8, 'field': [1887876, 0, -56808, 0, 4429, 0, -82, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [8]}
  • id: 2875478
    {'degree': 8, 'field': [34574400, 0, 0, 0, 5880, 0, 0, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [2, 4]}
  • id: 2875486
    {'degree': 16, 'field': [262144, 0, -796712, 0, 126052, 0, 19528, 0, -21860, 0, -1004, 0, 256, 0, -20, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [12]}
  • id: 2875484
    {'degree': 16, 'field': [5861241, 0, -21762432, 0, 18640584, 0, -6761448, 0, 1211814, 0, -112608, 0, 5352, 0, -120, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [2, 8]}
  • id: 2875483
    {'degree': 16, 'field': [736646436, -65935872, 1299906576, 535075152, 119174644, 23512112, 12246532, 6348496, 418381, -111040, 33602, -604, -401, 220, 10, -4, 1], 'lmfdb_label': '59850.di1', 'torsion': [2, 8]}
  • id: 2875485
    {'degree': 16, 'field': [1719926784, 0, -1742409144, 0, 91891908, 0, 4745304, 0, -1770660, 0, -27108, 0, 2304, 0, -60, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [2, 6]}
  • id: 2875487
    {'degree': 16, 'field': [1864861056, 1807049088, -2901593664, 734534784, -293479200, -322055136, -39051504, 10586592, -1146312, 189384, 117684, -9768, 4930, -402, 79, -6, 1], 'lmfdb_label': '59850.di1', 'torsion': [12]}
  • id: 2875482
    {'degree': 16, 'field': [4663142243761, 0, 38187377756, 0, 12995755510, 0, 43335584, 0, 12803719, 0, 5864, 0, 5890, 0, -4, 0, 1], 'lmfdb_label': '59850.di1', 'torsion': [4, 4]}
• 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: 1441593
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '59850.di1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1441594
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '59850.di1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1441595
    {'conductor': 59850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '59850.di1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1441596
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '59850.di1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1441597
    {'conductor': 59850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '59850.di1', '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: 2061118
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [288, 1433, 1987, 1974], [856, 2003, 859, 888], [1516, 2279, 737, 2274], [7, 6, 2274, 2275], [2273, 8, 2272, 9], [1921, 8, 844, 33], [904, 2277, 2275, 2278]], 'adelic_image': '2280.48.0.?', 'conductor': 59850, 'lmfdb_label': '59850.di1', 'prime': 0}
  • id: 253088
    {'conductor': 59850, 'elladic_image': '4.6.0.1', 'lmfdb_label': '59850.di1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3040696
    {'lmfdb_iso': '59850.di', 'p': 11, 'prec': 20, 'unit': 20921726245806818072, 'val': 1}
  • id: 3040698
    {'lmfdb_iso': '59850.di', 'p': 13, 'prec': 20, 'unit': 124691841671661171697, 'val': 1}
  • id: 3040700
    {'lmfdb_iso': '59850.di', 'p': 17, 'prec': 20, 'unit': 231528979073260315303267, 'val': 1}
  • id: 3040705
    {'lmfdb_iso': '59850.di', 'p': 23, 'prec': 20, 'unit': 19394762969531832247355807, 'val': 1}
  • id: 3040697
    {'lmfdb_iso': '59850.di', 'p': 29, 'prec': 20, 'unit': 3082454540677852636154031328, 'val': 1}
  • id: 3040709
    {'lmfdb_iso': '59850.di', 'p': 31, 'prec': 20, 'unit': 17278267631799998580158474753, 'val': 1}
  • id: 3040694
    {'lmfdb_iso': '59850.di', 'p': 37, 'prec': 20, 'unit': 430575771652114573075342535136, 'val': 1}
  • id: 3040695
    {'lmfdb_iso': '59850.di', 'p': 41, 'prec': 20, 'unit': 4240606391116512275413299628626, 'val': 1}
  • id: 3040707
    {'lmfdb_iso': '59850.di', 'p': 47, 'prec': 20, 'unit': 27401614595780711202443372175816, 'val': 1}
  • id: 3040702
    {'lmfdb_iso': '59850.di', 'p': 53, 'prec': 20, 'unit': 56776811588636019950239541289361, 'val': 1}
  • id: 3040703
    {'lmfdb_iso': '59850.di', 'p': 59, 'prec': 20, 'unit': 2614159747229482268002626740235578, 'val': 1}
  • id: 3040708
    {'lmfdb_iso': '59850.di', 'p': 61, 'prec': 20, 'unit': 531103078313459796650554971347687, 'val': 1}
  • id: 3040693
    {'lmfdb_iso': '59850.di', 'p': 67, 'prec': 20, 'unit': 16519796165135380724141906615160206, 'val': 1}
  • id: 3040704
    {'lmfdb_iso': '59850.di', 'p': 73, 'prec': 20, 'unit': 165463752853045689753453376048247136, 'val': 1}
  • id: 3040699
    {'lmfdb_iso': '59850.di', 'p': 79, 'prec': 20, 'unit': 1060522726518702511003749163553586162, 'val': 1}
  • id: 3040701
    {'lmfdb_iso': '59850.di', 'p': 83, 'prec': 20, 'unit': 277141228143239443852668315972771231, 'val': 1}
  • id: 3040706
    {'lmfdb_iso': '59850.di', 'p': 89, 'prec': 20, 'unit': 943666799979447549835700059056288170, 'val': 1}
  • id: 3040692
    {'lmfdb_iso': '59850.di', 'p': 97, 'prec': 20, 'unit': 43503227079120071423153841556752691671, 'val': 1}