Elliptic curve data - 585.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': '585f', 'Clabel': '585f7', 'Cnumber': 7, 'abc_quality': 1.0411934542658166, 'absD': 17769375, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [1, -1, 0, -1170000, 487402461], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 585, 'degree': 3072, 'elladic_images': ['16.48.0.171'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7387232121286887326718194920', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [242970740812818720001, 24375], 'lmfdb_iso': '585.g', 'lmfdb_label': '585.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -130000, -18051943], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '12.12.0-4.c.1.1', '16.48.0-16.g.1.4', '24.48.0-24.by.1.15', '48.96.0-48.bs.2.5', '52.12.0-4.c.1.2', '104.48.0.?', '156.24.0.?', '160.96.0.?', '208.96.0.?', '312.96.0.?', '416.192.2.?', '480.192.1.?', '624.192.1.?', '1040.192.2.?', '1248.384.5.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3862138033536862530133280532', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968735', 'prec': 100}, 'szpiro_ratio': 8.40150776872437, '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, -1, 0, 0, -3, 0, -1, -4, 0, 1, 0, 0, -1, -2, 0, -4, 1], 'aplist': [1, 0, -1, 0, -4, 1, -2, -4, -8, 2, -8, 6, 6, -4, 8, -6, 12, -2, -4, 0, -6, 16, 4, -10, 18], 'class_deg': 16, 'class_size': 8, 'conductor': 585, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '585.g', 'trace_hash': 2111954834260030367}
• 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': '0.030886180619507254803456843032', 'prec': 107}, 'conductor': 585, 'gens': [[588, 1281, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3862138033536862530133280532', 'prec': 100}], 'lmfdb_label': '585.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.85108145292620109686565595561', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3595617156492210218470390653000644197', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[2499, -2499, 2]], 'xcoord_integral_points': [588]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '585.g1'}
• ec_torsion_growth •

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

  
  
  • id: 26902
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [2, 2]}
  • id: 26904
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '585.g1', 'torsion': [4]}
  • id: 26903
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [4]}
  • id: 26905
    {'degree': 4, 'field': [-3, 12, -11, -2, 1], 'lmfdb_label': '585.g1', 'torsion': [2, 4]}
  • id: 26907
    {'degree': 4, 'field': [1, 0, -4, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [8]}
  • id: 26906
    {'degree': 4, 'field': [169, 0, -52, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [8]}
  • id: 26910
    {'degree': 8, 'field': [-23, 76, 16, -164, 33, 56, -14, -4, 1], 'lmfdb_label': '585.g1', 'torsion': [2, 8]}
  • id: 26913
    {'degree': 8, 'field': [3, -219, 264, -81, 27, 0, 4, -4, 1], 'lmfdb_label': '585.g1', 'torsion': [6]}
  • id: 26909
    {'degree': 8, 'field': [1521, 0, 0, 0, -39, 0, 0, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [8]}
  • id: 26908
    {'degree': 8, 'field': [1521, 0, 0, 0, 39, 0, 0, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [2, 4]}
  • id: 26911
    {'degree': 8, 'field': [12780625, 0, -2366000, 0, 76700, 0, -520, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [16]}
  • id: 26912
    {'degree': 8, 'field': [144600625, 0, -6422000, 0, 92300, 0, -520, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [16]}
  • id: 26915
    {'degree': 16, 'field': [256, -768, 1152, -1152, 112, 576, 360, 132, -87, 66, 90, 72, 7, -36, 18, -6, 1], 'lmfdb_label': '585.g1', 'torsion': [2, 8]}
  • id: 26920
    {'degree': 16, 'field': [18225, 0, 19197, 0, 3240, 0, -2511, 0, 297, 0, -225, 0, -45, 0, -6, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [12]}
  • id: 26921
    {'degree': 16, 'field': [104571, 31509, -395550, -636636, -516930, -264645, -63393, 10671, 14292, 5963, 538, -198, -77, -40, 9, -4, 1], 'lmfdb_label': '585.g1', 'torsion': [12]}
  • id: 26917
    {'degree': 16, 'field': [123201, 0, 0, 0, 123201, 0, 0, 0, 40716, 0, 0, 0, -351, 0, 0, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [16]}
  • id: 26914
    {'degree': 16, 'field': [2436721, 0, -791068, 0, 339406, 0, -81220, 0, 3307, 0, -100, 0, 106, 0, 8, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [4, 4]}
  • id: 26919
    {'degree': 16, 'field': [20820969, 0, -72217587, 0, 36662860, 0, -9102171, 0, 889785, 0, -53989, 0, 2535, 0, -78, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [2, 6]}
  • id: 26918
    {'degree': 16, 'field': [11156640625, 0, -35701250000, 0, 16340187500, 0, -2746250000, 0, 203539375, 0, -6760000, 0, 92300, 0, -520, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [2, 16]}
  • id: 26916
    {'degree': 16, 'field': [903687890625, 0, 0, 0, -1711125000, 0, 0, 0, 2289375, 0, 0, 0, -1800, 0, 0, 0, 1], 'lmfdb_label': '585.g1', 'torsion': [16]}
• 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: 6899
    {'conductor': 585, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '585.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6900
    {'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '585.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6901
    {'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '585.g1', '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

  
  
  • id: 1668493
    {'adelic_gens': [[1271, 26, 2454, 3371], [1, 0, 32, 1], [1980, 31, 239, 6084], [2048, 6211, 1333, 3678], [1, 32, 0, 1], [5, 28, 68, 381], [6209, 32, 6208, 33], [2341, 32, 2356, 513], [1942, 3, 2285, 6028], [23, 18, 3678, 4235]], 'adelic_image': '6240.768.13.?', 'conductor': 585, 'lmfdb_label': '585.g1', 'prime': 0}
  • id: 2644
    {'conductor': 585, 'elladic_image': '16.48.0.171', 'lmfdb_label': '585.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 9699
    {'lmfdb_iso': '585.g', 'p': 11, 'prec': 20, 'unit': 16013100267972068784, 'val': 1}
  • id: 9700
    {'lmfdb_iso': '585.g', 'p': 17, 'prec': 20, 'unit': 35120177210824288338119, 'val': 1}
  • id: 9701
    {'lmfdb_iso': '585.g', 'p': 19, 'prec': 20, 'unit': 651052145223180998370903, 'val': 1}
  • id: 9705
    {'lmfdb_iso': '585.g', 'p': 23, 'prec': 20, 'unit': 58345023726429919312042012, 'val': 1}
  • id: 9697
    {'lmfdb_iso': '585.g', 'p': 29, 'prec': 20, 'unit': 910558596440296042638800282, 'val': 1}
  • id: 9709
    {'lmfdb_iso': '585.g', 'p': 31, 'prec': 20, 'unit': 13817312446284561775532590957, 'val': 1}
  • id: 9694
    {'lmfdb_iso': '585.g', 'p': 37, 'prec': 20, 'unit': 372065588683631777328460308160, 'val': 1}
  • id: 9695
    {'lmfdb_iso': '585.g', 'p': 41, 'prec': 20, 'unit': 43784025659963139909210835955, 'val': 2}
  • id: 9696
    {'lmfdb_iso': '585.g', 'p': 43, 'prec': 20, 'unit': 227052847789474296807602942361, 'val': 2}
  • id: 9707
    {'lmfdb_iso': '585.g', 'p': 47, 'prec': 20, 'unit': 26033595884365580367573620402312, 'val': 1}
  • id: 9702
    {'lmfdb_iso': '585.g', 'p': 53, 'prec': 20, 'unit': 276452619783216140586934914074453, 'val': 1}
  • id: 9703
    {'lmfdb_iso': '585.g', 'p': 59, 'prec': 20, 'unit': 4024267493321312974300292229703454, 'val': 1}
  • id: 9708
    {'lmfdb_iso': '585.g', 'p': 61, 'prec': 20, 'unit': 1331573992257849700893633124218031, 'val': 1}
  • id: 9693
    {'lmfdb_iso': '585.g', 'p': 67, 'prec': 20, 'unit': 21498949128845455076595362464099008, 'val': 1}
  • id: 9704
    {'lmfdb_iso': '585.g', 'p': 73, 'prec': 20, 'unit': 185522389025820476607965556909581512, 'val': 1}
  • id: 9698
    {'lmfdb_iso': '585.g', 'p': 79, 'prec': 20, 'unit': 1108961753690929885861261163159428217, 'val': 1}
  • id: 9692
    {'lmfdb_iso': '585.g', 'p': 83, 'prec': 20, 'unit': 1478906946209906497274382548179692729, 'val': 1}
  • id: 9706
    {'lmfdb_iso': '585.g', 'p': 89, 'prec': 20, 'unit': 1071959568932041080113490200328008244, 'val': 1}
  • id: 9691
    {'lmfdb_iso': '585.g', 'p': 97, 'prec': 20, 'unit': 45858660479805897530536489361898090612, 'val': 1}