Elliptic curve data - 585.a1

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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': '585g', 'Clabel': '585g1', 'Cnumber': 1, 'abc_quality': 0.8366236093574133, 'absD': 142155, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, 0, 1, -3, 18], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 585, 'degree': 96, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.33127847514402924793678117800', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-4096, 195], 'lmfdb_iso': '585.a', 'lmfdb_label': '585.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 0, -1], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['390.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.099517256151416781914988041046', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.88058461947808409363440379646', 'prec': 107}, 'szpiro_ratio': 3.0340008401584697, '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, -2, 0, 2, -1, 0, -3, 0, 0, 2, 5, 0, 1, 6, 0, -4, -5, 0, 2, -2], 'aplist': [-2, 0, -1, -3, 5, 1, -5, 2, 1, -10, -2, -3, 9, -4, -10, -9, 0, -11, -4, -15, 6, -11, -8, 11, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 585, 'isogeny_matrix': [[1]], 'lmfdb_iso': '585.a', 'trace_hash': 751787123535444385}
• 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': '1.9397458324441085596508686469', 'prec': 100}, 'conductor': 585, 'gens': [[-1, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.099517256151416781914988041046', 'prec': 107}], 'lmfdb_label': '585.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.7101707230780557425066996308', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0788350162505172425520188878217660004', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-3, -1, 2, 8, 582]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 2, 0], '3': 'a', '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [4, 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': '585.a1'}
• ec_torsion_growth •

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

  
  
  • id: 26942
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '585.a1', 'torsion': [2]}
  • id: 26943
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '585.a1', 'torsion': [2, 2]}
  • id: 26944
    {'degree': 8, 'field': [3, -219, 264, -81, 27, 0, 4, -4, 1], 'lmfdb_label': '585.a1', 'torsion': [3]}
  • id: 26945
    {'degree': 12, 'field': [-117, 370, -490, 228, -123, 236, -104, 4, -7, 18, 6, -4, 1], 'lmfdb_label': '585.a1', 'torsion': [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: 6905
    {'conductor': 585, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '585.a1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6906
    {'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6907
    {'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.a1', 'prime': 13, 'reduction_type': 1, '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

  
  {'adelic_gens': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 585, 'lmfdb_label': '585.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 9714
    {'lmfdb_iso': '585.a', 'p': 7, 'prec': 20, 'unit': 597320553058581, 'val': 2}
  • id: 9719
    {'lmfdb_iso': '585.a', 'p': 11, 'prec': 20, 'unit': 46661941977926443171, 'val': 1}
  • id: 9720
    {'lmfdb_iso': '585.a', 'p': 17, 'prec': 20, 'unit': 11464521811462346929907, 'val': 1}
  • id: 9721
    {'lmfdb_iso': '585.a', 'p': 19, 'prec': 20, 'unit': 1482452972986479034998725, 'val': 1}
  • id: 9724
    {'lmfdb_iso': '585.a', 'p': 23, 'prec': 20, 'unit': 1538426726637001350642726408, 'val': -1}
  • id: 9717
    {'lmfdb_iso': '585.a', 'p': 29, 'prec': 20, 'unit': 858901299748180491277033347, 'val': 1}
  • id: 9729
    {'lmfdb_iso': '585.a', 'p': 31, 'prec': 20, 'unit': 12472870108965692033627096895, 'val': 1}
  • id: 9713
    {'lmfdb_iso': '585.a', 'p': 37, 'prec': 20, 'unit': 379583228815925214092872586609, 'val': 1}
  • id: 9715
    {'lmfdb_iso': '585.a', 'p': 41, 'prec': 20, 'unit': 2014045498114181910712112801198, 'val': 1}
  • id: 9716
    {'lmfdb_iso': '585.a', 'p': 43, 'prec': 20, 'unit': 9544212026628493224295877722038, 'val': 1}
  • id: 9718
    {'lmfdb_iso': '585.a', 'p': 47, 'prec': 20, 'unit': 21649281270645475456323143888729, 'val': 1}
  • id: 9722
    {'lmfdb_iso': '585.a', 'p': 53, 'prec': 20, 'unit': 160770847926963163490175813206473, 'val': 1}
  • id: 9728
    {'lmfdb_iso': '585.a', 'p': 61, 'prec': 20, 'unit': 8015974458937693883527497769922118, 'val': 1}
  • id: 9712
    {'lmfdb_iso': '585.a', 'p': 67, 'prec': 20, 'unit': 1201254415020553314827489604056447, 'val': 1}
  • id: 9726
    {'lmfdb_iso': '585.a', 'p': 71, 'prec': 20, 'unit': 50214490177870757680807225670283143, 'val': 1}
  • id: 9723
    {'lmfdb_iso': '585.a', 'p': 73, 'prec': 20, 'unit': 39246052083511263451388652030842555, 'val': 1}
  • id: 9727
    {'lmfdb_iso': '585.a', 'p': 79, 'prec': 20, 'unit': 959547718043244809684667544376602592, 'val': 1}
  • id: 9711
    {'lmfdb_iso': '585.a', 'p': 83, 'prec': 20, 'unit': 2692263446650867681653769042504295334, 'val': 1}
  • id: 9725
    {'lmfdb_iso': '585.a', 'p': 89, 'prec': 20, 'unit': 2633972424132444570759598943524239568, 'val': 1}
  • id: 9710
    {'lmfdb_iso': '585.a', 'p': 97, 'prec': 20, 'unit': 36401803061833005009212582849908026217, 'val': 1}