Elliptic curve data - 33282.q2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '33282bg', 'Clabel': '33282bg1', 'Cnumber': 1, 'abc_quality': 0.9991827355469977, 'absD': 99379519488, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 13416, 'ainvs': [1, -1, 1, -11957, 506445], 'analytic_rank': 2, 'bad_primes': [2, 3, 43], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 33282, 'degree': 104832, 'elladic_images': ['8.2.0.1', '13.28.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0604989874563996976210365663', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 13], 'jinv': [-140246460241, 73728], 'lmfdb_iso': '33282.q', 'lmfdb_label': '33282.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1328, -19200], 'min_quad_twist_disc': -3, 'modell_images': ['13B.4.1'], 'modm_images': ['8.2.0.a.1', '13.28.0.a.1', '104.56.1.?', '559.84.2.?', '1677.168.2.?', '4472.168.9.?', '13416.336.9.?'], 'nonmax_primes': [2, 13], 'nonmax_rad': 26, 'num_bad_primes': 3, 'num_int_pts': 30, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.16966433756222654594584518836', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 16641], [3, 8, 3698], [13, 2, 16641], [43, 338, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11567384282658221865539313772', 'prec': 107}, 'szpiro_ratio': 3.8204667449798193, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -4, 0, -4, 1, 0, -4, 1, 0, -4, -4, 0, 1, 5, 0, -5, -4], 'aplist': [1, 0, -4, -4, 1, -4, 5, -5, -2, -8, -4, 2, -3, 0, 4, -12, 5, -10, -5, -12, -7, -14, 4, -15, -19], 'class_deg': 13, 'class_size': 2, 'conductor': 33282, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '33282.q', 'trace_hash': 2277954208925803766}
• 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': '0.11991189971056668943358337796', 'prec': 103}, 'conductor': 33282, 'gens': [[47, 192, 1], [71, 72, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.22249272578323680753687000112', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.80987652739742679609855500258', 'prec': 103}], 'lmfdb_label': '33282.q2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.0506042026053109617469767132', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2690034359063091075115159713811878079', 'prec': 130}, 'tamagawa_product': 52, 'torsion_generators': [], 'xcoord_integral_points': [-105, -97, -1, 3, 47, 63, 65, 71, 101, 107, 285, 335, 371, 42023, 123551]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': 'a', '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '33282.q2'}
• ec_torsion_growth •

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

  
  
  • id: 1653610
    {'degree': 3, 'field': [78, -14, -1, 1], 'lmfdb_label': '33282.q2', 'torsion': [2]}
  • id: 1653612
    {'degree': 6, 'field': [-128, 136, 110, -63, -39, -1, 1], 'lmfdb_label': '33282.q2', 'torsion': [13]}
  • id: 1653611
    {'degree': 6, 'field': [1458, 0, 333, 0, -28, 0, 1], 'lmfdb_label': '33282.q2', 'torsion': [2, 2]}
  • id: 1653613
    {'degree': 8, 'field': [-194, 8, -56, 95, -44, -7, 7, -4, 1], 'lmfdb_label': '33282.q2', 'torsion': [3]}
  • id: 1653614
    {'degree': 12, 'field': [-120823122, 61018524, -5055176, -5372156, 1946927, -221734, -28976, 17510, -3290, 382, 12, -6, 1], 'lmfdb_label': '33282.q2', 'torsion': [4]}
  • id: 1653615
    {'degree': 18, 'field': [12648448, 8978432, -59157504, 89062912, -49880736, -3550032, 3122608, 4157136, -1333158, -136439, 32493, 20772, -6528, 1818, 658, -4, -42, -3, 1], 'lmfdb_label': '33282.q2', 'torsion': [26]}
• 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: 779003
    {'conductor': 33282, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '33282.q2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
  • id: 779004
    {'conductor': 33282, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '33282.q2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 779005
    {'conductor': 33282, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '33282.q2', 'prime': 43, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1886279
    {'adelic_gens': [[14, 23, 871, 1431], [13391, 26, 13390, 27], [6709, 8970, 11193, 9283], [1, 0, 26, 1], [4471, 0, 0, 13415], [8239, 8970, 9360, 7999], [10063, 2262, 0, 4903], [1, 26, 0, 1], [10063, 8970, 1131, 9283]], 'adelic_image': '13416.336.9.?', 'conductor': 33282, 'lmfdb_label': '33282.q2', 'prime': 0}
  • id: 148357
    {'conductor': 33282, 'elladic_image': '8.2.0.1', 'lmfdb_label': '33282.q2', 'modell_image': '2G', 'prime': 2}
  • id: 148358
    {'conductor': 33282, 'elladic_image': '13.28.0.1', 'lmfdb_label': '33282.q2', 'modell_image': '13B.4.1', 'prime': 13}
• ec_padic •

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

  
  
  • id: 1623776
    {'lmfdb_iso': '33282.q', 'p': 5, 'prec': 20, 'unit': 2007541586749, 'val': 0}
  • id: 1623777
    {'lmfdb_iso': '33282.q', 'p': 7, 'prec': 20, 'unit': 2745286547443385, 'val': 2}
  • id: 1623778
    {'lmfdb_iso': '33282.q', 'p': 11, 'prec': 20, 'unit': 2032653682182911124, 'val': 0}
  • id: 1623779
    {'lmfdb_iso': '33282.q', 'p': 13, 'prec': 20, 'unit': 851897786950457091462, 'val': 1}
  • id: 1623780
    {'lmfdb_iso': '33282.q', 'p': 17, 'prec': 20, 'unit': 38573907851993402314788, 'val': 2}
  • id: 1623781
    {'lmfdb_iso': '33282.q', 'p': 19, 'prec': 20, 'unit': 1221989389434631597773029, 'val': 2}
  • id: 1623782
    {'lmfdb_iso': '33282.q', 'p': 23, 'prec': 20, 'unit': 22034039023957916774033039, 'val': 2}
  • id: 1623783
    {'lmfdb_iso': '33282.q', 'p': 29, 'prec': 20, 'unit': 1224265542375338970459724368, 'val': 2}
  • id: 1623784
    {'lmfdb_iso': '33282.q', 'p': 31, 'prec': 20, 'unit': 16521710223823656977892910640, 'val': 2}
  • id: 1623785
    {'lmfdb_iso': '33282.q', 'p': 37, 'prec': 20, 'unit': 475649071220809408577451333711, 'val': 2}
  • id: 1623786
    {'lmfdb_iso': '33282.q', 'p': 41, 'prec': 20, 'unit': 3382706287029360789035411790289, 'val': 2}
  • id: 1623787
    {'lmfdb_iso': '33282.q', 'p': 47, 'prec': 20, 'unit': 7010194867382582257303486016477, 'val': 2}
  • id: 1623788
    {'lmfdb_iso': '33282.q', 'p': 53, 'prec': 20, 'unit': 202641283933487478762313980391292, 'val': 2}
  • id: 1623789
    {'lmfdb_iso': '33282.q', 'p': 59, 'prec': 20, 'unit': 633800681591030887713595321551669, 'val': 2}
  • id: 1623790
    {'lmfdb_iso': '33282.q', 'p': 61, 'prec': 20, 'unit': 2600630824261096823833403224812456, 'val': 2}
  • id: 1623791
    {'lmfdb_iso': '33282.q', 'p': 67, 'prec': 20, 'unit': 48229417837695284011036551137004550, 'val': 2}
  • id: 1623792
    {'lmfdb_iso': '33282.q', 'p': 71, 'prec': 20, 'unit': 27750927827776457870352503324458672, 'val': 2}
  • id: 1623793
    {'lmfdb_iso': '33282.q', 'p': 73, 'prec': 20, 'unit': 65719634900018185837632082867723027, 'val': 2}
  • id: 1623794
    {'lmfdb_iso': '33282.q', 'p': 79, 'prec': 20, 'unit': 734801190854438827937635796317966190, 'val': 2}
  • id: 1623795
    {'lmfdb_iso': '33282.q', 'p': 83, 'prec': 20, 'unit': 2527656784692772450782454270537391261, 'val': 2}
  • id: 1623796
    {'lmfdb_iso': '33282.q', 'p': 89, 'prec': 20, 'unit': 8849917836163563991851461221574245341, 'val': 2}
  • id: 1623797
    {'lmfdb_iso': '33282.q', 'p': 97, 'prec': 20, 'unit': 8131927576914998494193142934571121072, 'val': 2}