Elliptic curve data - 30576.c1

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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': '30576q', 'Clabel': '30576q1', 'Cnumber': 1, 'abc_quality': 1.037904102991589, 'absD': 244202905516752, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -31915, 2072386], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 30576, 'degree': 184320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5093406267753746814748486424', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1909913257984, 129730653], 'lmfdb_iso': '30576.c', 'lmfdb_label': '30576.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -651, 6228], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0098381041482744141765055046', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 637], [3, 4, 784], [5, 2, 10192], [7, 26, 624], [13, 14, 2352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30533649206106959244976156352', 'prec': 103}, 'szpiro_ratio': 4.136933569876335, '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, -4, 0, 0, 0, 1, 0, 2, 0, 1, 0, 4, 0, -2, 0, 8, 0], 'aplist': [0, -1, -4, 0, 2, 1, -2, 8, -4, -6, -4, 6, 12, -4, -6, -2, -14, -10, 4, -2, 2, 8, 14, 0, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 30576, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '30576.c', 'trace_hash': 2165748224296998034}
• 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': '0.048865617249015788318878883621', 'prec': 107}, 'conductor': 30576, 'gens': [[278, 3822, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0098381041482744141765055046', 'prec': 100}], 'lmfdb_label': '30576.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54489431205050561325754105033', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2854480532782993166948768160224761145', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[82, 0, 1]], 'xcoord_integral_points': [82, 278]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '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': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '30576.c1'}
• ec_torsion_growth •

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

  
  
  • id: 1527575
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '30576.c1', 'torsion': [2, 2]}
  • id: 1527576
    {'degree': 4, 'field': [637, 0, -49, 0, 1], 'lmfdb_label': '30576.c1', 'torsion': [4]}
  • id: 1527579
    {'degree': 8, 'field': [-566, -508, -374, -144, -60, -18, 4, -4, 1], 'lmfdb_label': '30576.c1', 'torsion': [6]}
  • id: 1527578
    {'degree': 8, 'field': [351, -1326, -1105, -130, 139, 84, -31, -2, 1], 'lmfdb_label': '30576.c1', 'torsion': [2, 4]}
  • id: 1527577
    {'degree': 8, 'field': [21609, 0, 1029, 0, 196, 0, -7, 0, 1], 'lmfdb_label': '30576.c1', 'torsion': [2, 4]}
  • id: 1527581
    {'degree': 16, 'field': [2266307, 4958298, -926146, 3438104, 713636, -48334, -7380, 37820, 747, -9850, -4392, -232, 196, -40, -32, 0, 1], 'lmfdb_label': '30576.c1', 'torsion': [2, 6]}
  • id: 1527580
    {'degree': 16, 'field': [31956409, 0, 8388264, 0, 1985602, 0, -229680, 0, 66147, 0, -6144, 0, -386, 0, 24, 0, 1], 'lmfdb_label': '30576.c1', 'torsion': [8]}
• 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: 712860
    {'conductor': 30576, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '30576.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 712861
    {'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '30576.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 712862
    {'conductor': 30576, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '30576.c1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 712863
    {'conductor': 30576, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '30576.c1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1868442
    {'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 30576, 'lmfdb_label': '30576.c1', 'prime': 0}
  • id: 137317
    {'conductor': 30576, 'elladic_image': '2.3.0.1', 'lmfdb_label': '30576.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1481751
    {'lmfdb_iso': '30576.c', 'p': 5, 'prec': 20, 'unit': 48686478407647, 'val': -1}
  • id: 1481758
    {'lmfdb_iso': '30576.c', 'p': 11, 'prec': 20, 'unit': 3518409649592129397, 'val': 1}
  • id: 1481759
    {'lmfdb_iso': '30576.c', 'p': 17, 'prec': 20, 'unit': 222704923913596149823478, 'val': 1}
  • id: 1481760
    {'lmfdb_iso': '30576.c', 'p': 19, 'prec': 20, 'unit': 896916526070025124071517, 'val': 1}
  • id: 1481764
    {'lmfdb_iso': '30576.c', 'p': 23, 'prec': 20, 'unit': 61760639782253137224145180, 'val': 1}
  • id: 1481756
    {'lmfdb_iso': '30576.c', 'p': 29, 'prec': 20, 'unit': 5813330516292200365744964012, 'val': 1}
  • id: 1481753
    {'lmfdb_iso': '30576.c', 'p': 31, 'prec': 20, 'unit': 7967624260940324025455636895, 'val': 1}
  • id: 1481767
    {'lmfdb_iso': '30576.c', 'p': 37, 'prec': 20, 'unit': 360223435544569257399518352916, 'val': 1}
  • id: 1481754
    {'lmfdb_iso': '30576.c', 'p': 41, 'prec': 20, 'unit': 376937808649777497320594361584, 'val': 1}
  • id: 1481755
    {'lmfdb_iso': '30576.c', 'p': 43, 'prec': 20, 'unit': 9068597066126935061545779483612, 'val': 1}
  • id: 1481765
    {'lmfdb_iso': '30576.c', 'p': 47, 'prec': 20, 'unit': 9120042195800172568629354353455, 'val': 1}
  • id: 1481761
    {'lmfdb_iso': '30576.c', 'p': 53, 'prec': 20, 'unit': 540529068628614859086166912975459, 'val': 1}
  • id: 1481762
    {'lmfdb_iso': '30576.c', 'p': 59, 'prec': 20, 'unit': 1752082621390067654049018385254566, 'val': 1}
  • id: 1481766
    {'lmfdb_iso': '30576.c', 'p': 61, 'prec': 20, 'unit': 117995945780073256656979804233111, 'val': 2}
  • id: 1481750
    {'lmfdb_iso': '30576.c', 'p': 67, 'prec': 20, 'unit': 9308109857725497545451818908932632, 'val': 1}
  • id: 1481752
    {'lmfdb_iso': '30576.c', 'p': 71, 'prec': 20, 'unit': 23173600120959162394566976387581567, 'val': 1}
  • id: 1481763
    {'lmfdb_iso': '30576.c', 'p': 73, 'prec': 20, 'unit': 13155462217117903564519944486054709, 'val': 1}
  • id: 1481757
    {'lmfdb_iso': '30576.c', 'p': 79, 'prec': 20, 'unit': 969239021465674280134018319872258293, 'val': 1}
  • id: 1481749
    {'lmfdb_iso': '30576.c', 'p': 83, 'prec': 20, 'unit': 2412590390446516689834746961563427746, 'val': 1}
  • id: 1481748
    {'lmfdb_iso': '30576.c', 'p': 97, 'prec': 20, 'unit': 7471432944164105985823555514444729248, 'val': 1}