Elliptic curve data - 54150.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': '54150n', 'Clabel': '54150n1', 'Cnumber': 1, 'abc_quality': 1.0152667582826738, 'absD': 34753733212320000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 228, 'ainvs': [1, 1, 0, -185200, -32038400], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 54150, 'degree': 691200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9352624514682189557219514670', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-23891790625, 1181952], 'lmfdb_iso': '54150.a', 'lmfdb_label': '54150.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -513, 4617], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['228.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.73856845897667205851080237400', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.073436342259701399149482026688', 'prec': 110}, 'szpiro_ratio': 4.411501041469205, '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, -1, 1, 0, 1, -4, -1, 1, 0, -1, -1, 0, 4, 0, 1, -8, -1, 0, 0], 'aplist': [-1, -1, 0, -4, -1, 0, -8, 0, -3, 1, -1, 2, 10, -8, 0, -3, -4, 5, 5, 6, -13, 5, 11, -3, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 54150, 'isogeny_matrix': [[1]], 'lmfdb_iso': '54150.a', 'trace_hash': 2081269013725398620}
• 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': '0.020847423678832643613158310047', 'prec': 107}, 'conductor': 54150, 'gens': [[720, 14080, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73856845897667205851080237400', 'prec': 103}], 'lmfdb_label': '54150.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11473831717076793984366671320', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0338104503613770022579108354617747737', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [720, 815, 122016]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [11, 0], '3': [1, 0], '5': 'a', '7': [5, 0], '11': [1, 0], '13': [3, 1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '54150.a1'}
• ec_torsion_growth •

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

  
  
  • id: 2618054
    {'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '54150.a1', 'torsion': [2]}
  • id: 2618055
    {'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '54150.a1', 'torsion': [2, 2]}
  • id: 2618056
    {'degree': 8, 'field': [-1083, 0, 76, 0, -114, 0, 0, 0, 1], 'lmfdb_label': '54150.a1', 'torsion': [3]}
  • id: 2618057
    {'degree': 12, 'field': [-24957, 71601, -51342, 69227, 23864, -489, 1794, -479, 336, -79, 4, -3, 1], 'lmfdb_label': '54150.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: 1299604
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '54150.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1299605
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '54150.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1299606
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '54150.a1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1299607
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '54150.a1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• 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': [[1, 1, 227, 0], [1, 0, 2, 1], [115, 2, 115, 3], [77, 2, 77, 3], [227, 2, 226, 3], [1, 2, 0, 1], [97, 2, 97, 3]], 'adelic_image': '228.2.0.?', 'conductor': 54150, 'lmfdb_label': '54150.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2735478
    {'lmfdb_iso': '54150.a', 'p': 7, 'prec': 20, 'unit': 74617811533775, 'val': 2}
  • id: 2735476
    {'lmfdb_iso': '54150.a', 'p': 11, 'prec': 20, 'unit': 854942104435145888, 'val': 1}
  • id: 2735483
    {'lmfdb_iso': '54150.a', 'p': 17, 'prec': 20, 'unit': 117583343142633207167508, 'val': 1}
  • id: 2735487
    {'lmfdb_iso': '54150.a', 'p': 23, 'prec': 20, 'unit': 62124192824300361364017872, 'val': 1}
  • id: 2735481
    {'lmfdb_iso': '54150.a', 'p': 29, 'prec': 20, 'unit': 58806140902760620959343887835, 'val': -1}
  • id: 2735492
    {'lmfdb_iso': '54150.a', 'p': 31, 'prec': 20, 'unit': 686359491915134622536427694, 'val': 2}
  • id: 2735477
    {'lmfdb_iso': '54150.a', 'p': 37, 'prec': 20, 'unit': 611478622844501414998831759097, 'val': 1}
  • id: 2735479
    {'lmfdb_iso': '54150.a', 'p': 41, 'prec': 20, 'unit': 1052708041937204024043492848303, 'val': 1}
  • id: 2735480
    {'lmfdb_iso': '54150.a', 'p': 43, 'prec': 20, 'unit': 5821391033054606674194324010258, 'val': 1}
  • id: 2735485
    {'lmfdb_iso': '54150.a', 'p': 53, 'prec': 20, 'unit': 374128562499201275609704105830930, 'val': 1}
  • id: 2735490
    {'lmfdb_iso': '54150.a', 'p': 59, 'prec': 20, 'unit': 1918411631789762062954818335918649, 'val': 1}
  • id: 2735491
    {'lmfdb_iso': '54150.a', 'p': 61, 'prec': 20, 'unit': 208488615326361330453841774849070, 'val': 1}
  • id: 2735475
    {'lmfdb_iso': '54150.a', 'p': 67, 'prec': 20, 'unit': 14937387293712011058629210531957315, 'val': 1}
  • id: 2735489
    {'lmfdb_iso': '54150.a', 'p': 71, 'prec': 20, 'unit': 6778576500812690770290097267024330, 'val': 1}
  • id: 2735486
    {'lmfdb_iso': '54150.a', 'p': 73, 'prec': 20, 'unit': 223864337675521511444956424800247000, 'val': 1}
  • id: 2735482
    {'lmfdb_iso': '54150.a', 'p': 79, 'prec': 20, 'unit': 237123677381350918929215209213548486, 'val': 1}
  • id: 2735484
    {'lmfdb_iso': '54150.a', 'p': 83, 'prec': 20, 'unit': 2019774697982589462155085675438183964, 'val': 1}
  • id: 2735488
    {'lmfdb_iso': '54150.a', 'p': 89, 'prec': 20, 'unit': 2038446168511921470735485676484345763, 'val': 1}
  • id: 2735474
    {'lmfdb_iso': '54150.a', 'p': 97, 'prec': 20, 'unit': 2413062052602238932438798176033610456, 'val': 1}