Elliptic curve data - 1190.f1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1190d', 'Clabel': '1190d4', 'Cnumber': 4, 'abc_quality': 1.0393992622157648, 'absD': 101150000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -1381048, 625030331], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1190, 'degree': 10752, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9051967066660702191299408365', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [291306206119284545407569, 101150000000], 'lmfdb_iso': '1190.f', 'lmfdb_label': '1190.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1381048, 625030331], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '28.12.0-4.c.1.1', '56.48.0-56.bp.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.74650973701881890476146152811', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 7], [5, 6, 238], [7, 8, 85], [17, 18, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9051967066660702191299408365', 'prec': 100}, 'szpiro_ratio': 7.629325785520893, '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, -1, 1, -3, -1, -4, 0, 2, -1, 0, 1, 1, -3, -8, -1], 'aplist': [1, 0, -1, -1, -4, 2, 1, -8, 0, -2, -8, -2, 2, 4, -8, -2, 0, 2, 4, 0, -14, 8, 16, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 1190, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1190.f', 'trace_hash': 577215590681145777}
• 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': '0.022139467281909916909680821180', 'prec': 107}, 'conductor': 1190, 'gens': [[681, -239, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.74650973701881890476146152811', 'prec': 103}], 'lmfdb_label': '1190.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.63588674478128599955165637848', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3228695263430143829534275493694741984', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [[2715, -2719, 2]], 'xcoord_integral_points': [681, 2085]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 3, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1190.f1'}
• ec_torsion_growth •

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

  
  
  • id: 58816
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [2, 2]}
  • id: 58818
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [4]}
  • id: 58817
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [4]}
  • id: 58819
    {'degree': 4, 'field': [9, 0, -8, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [2, 4]}
  • id: 58820
    {'degree': 4, 'field': [14, 0, -8, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [8]}
  • id: 58824
    {'degree': 8, 'field': [-4232, 500, -278, -445, 226, -7, 7, -4, 1], 'lmfdb_label': '1190.f1', 'torsion': [6]}
  • id: 58823
    {'degree': 8, 'field': [1, 0, -12, 0, 24, 0, -12, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [2, 8]}
  • id: 58822
    {'degree': 8, 'field': [964324, 0, -57403, 0, 3043, 0, -61, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [8]}
  • id: 58821
    {'degree': 8, 'field': [16366086, -80952, 72884, 16128, -8043, -28, 14, -4, 1], 'lmfdb_label': '1190.f1', 'torsion': [2, 4]}
  • id: 58830
    {'degree': 16, 'field': [960400, 0, -76832, 0, 57820, 0, -15239, 0, -3038, 0, -1295, 0, -35, 0, -14, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [12]}
  • id: 58829
    {'degree': 16, 'field': [22771984, 0, 13393256, 0, 2772340, 0, 284552, 0, 29140, 0, -2668, 0, -440, 0, -4, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [12]}
  • id: 58828
    {'degree': 16, 'field': [245862400, 0, -9834496, 0, 3700480, 0, -487648, 0, -48608, 0, -10360, 0, -140, 0, -28, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [2, 6]}
  • id: 58826
    {'degree': 16, 'field': [6359743504, 0, 2674491216, 0, 499858292, 0, 54592464, 0, 3853744, 0, 182376, 0, 5725, 0, 110, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [2, 8]}
  • id: 58827
    {'degree': 16, 'field': [628874376256, 0, -194993118208, 0, 24178378112, 0, -1481540480, 0, 44185456, 0, -533120, 0, 4048, 0, -144, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [16]}
  • id: 58825
    {'degree': 16, 'field': [16748793615841, 0, 0, 0, 0, 0, 0, 0, 139145986, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1190.f1', 'torsion': [4, 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: 17431
    {'conductor': 1190, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '1190.f1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 17432
    {'conductor': 1190, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1190.f1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 17433
    {'conductor': 1190, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1190.f1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 17434
    {'conductor': 1190, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1190.f1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1672056
    {'adelic_gens': [[24, 1, 49, 40], [12, 1, 55, 6], [49, 8, 48, 9], [1, 0, 8, 1], [8, 43, 25, 54], [1, 4, 4, 17], [7, 6, 50, 51], [1, 8, 0, 1]], 'adelic_image': '56.48.0.?', 'conductor': 1190, 'lmfdb_label': '1190.f1', 'prime': 0}
  • id: 5674
    {'conductor': 1190, 'elladic_image': '8.24.0.103', 'lmfdb_label': '1190.f1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 29364
    {'lmfdb_iso': '1190.f', 'p': 11, 'prec': 20, 'unit': 52382244532914528845, 'val': 1}
  • id: 29366
    {'lmfdb_iso': '1190.f', 'p': 13, 'prec': 20, 'unit': 1085715493414652337618, 'val': 1}
  • id: 29368
    {'lmfdb_iso': '1190.f', 'p': 19, 'prec': 20, 'unit': 1445867242880884142578908, 'val': 1}
  • id: 29365
    {'lmfdb_iso': '1190.f', 'p': 29, 'prec': 20, 'unit': 68323660588537337747255760, 'val': 2}
  • id: 29375
    {'lmfdb_iso': '1190.f', 'p': 31, 'prec': 20, 'unit': 15462180129761414332059084745, 'val': 1}
  • id: 29362
    {'lmfdb_iso': '1190.f', 'p': 37, 'prec': 20, 'unit': 535868588501151683272161472887, 'val': 1}
  • id: 29363
    {'lmfdb_iso': '1190.f', 'p': 41, 'prec': 20, 'unit': 4088734545216232386010061343693, 'val': 1}
  • id: 29361
    {'lmfdb_iso': '1190.f', 'p': 43, 'prec': 20, 'unit': 3271337283899645861936079508079, 'val': 1}
  • id: 29367
    {'lmfdb_iso': '1190.f', 'p': 47, 'prec': 20, 'unit': 52368127788006050325140667684269, 'val': 1}
  • id: 29369
    {'lmfdb_iso': '1190.f', 'p': 53, 'prec': 20, 'unit': 518559670457515952116557902877878, 'val': 1}
  • id: 29374
    {'lmfdb_iso': '1190.f', 'p': 61, 'prec': 20, 'unit': 1040666788510261955865944812262734, 'val': 1}
  • id: 29360
    {'lmfdb_iso': '1190.f', 'p': 67, 'prec': 20, 'unit': 17291767936745601133314386669736363, 'val': 1}
  • id: 29370
    {'lmfdb_iso': '1190.f', 'p': 73, 'prec': 20, 'unit': 1559460201679340226476867683731570, 'val': 1}
  • id: 29373
    {'lmfdb_iso': '1190.f', 'p': 79, 'prec': 20, 'unit': 858662625084652185076768297787342418, 'val': 1}
  • id: 29371
    {'lmfdb_iso': '1190.f', 'p': 83, 'prec': 20, 'unit': 2304856265996926155894238825644884685, 'val': 1}
  • id: 29372
    {'lmfdb_iso': '1190.f', 'p': 89, 'prec': 20, 'unit': 3565200573889578321431726409847645249, 'val': 1}
  • id: 29359
    {'lmfdb_iso': '1190.f', 'p': 97, 'prec': 20, 'unit': 21844916217288556084379177649002806906, 'val': 1}