Elliptic curve data - 17784.i1

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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': '17784e', 'Clabel': '17784e1', 'Cnumber': 1, 'abc_quality': 0.7694889403778375, 'absD': 2881008, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 494, 'ainvs': [0, 0, 0, -75, 263], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 17784, 'degree': 1920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.0061467739994525101739358128574', 'prec': 113}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1], 'jinv': [-4000000, 247], 'lmfdb_iso': '17784.i', 'lmfdb_label': '17784.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -8, -7], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['494.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.49338118634214705493354599377', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 2223], [3, 2, 1976], [13, 14, 1368], [19, 20, 936]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78650197852015579234396913847', 'prec': 107}, 'szpiro_ratio': 2.5206740585565486, '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, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, -1, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, 0, -2, 4, -1, 3, 1, -1, 2, 3, -5, -7, -3, 2, 6, -1, -5, 3, 12, 0, -10, -18, -10, 13], 'class_deg': 1, 'class_size': 1, 'conductor': 17784, 'isogeny_matrix': [[1]], 'lmfdb_iso': '17784.i', 'trace_hash': 1201734257517322576}
• 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': '1.0123694242708396605900154781', 'prec': 100}, 'conductor': 17784, 'gens': [[7, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.49338118634214705493354599377', 'prec': 103}], 'lmfdb_label': '17784.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.5050384439068464372882851901', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9437553571497835793088365339413899651', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [2, 7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 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': '17784.i1'}
• ec_torsion_growth •

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

  
  
  • id: 909814
    {'degree': 3, 'field': [-3, 1, 0, 1], 'lmfdb_label': '17784.i1', 'torsion': [2]}
  • id: 909815
    {'degree': 6, 'field': [9, 21, 80, 1, -6, -2, 1], 'lmfdb_label': '17784.i1', 'torsion': [2, 2]}
  • id: 909816
    {'degree': 8, 'field': [-867, 0, -248, 0, -102, 0, 0, 0, 1], 'lmfdb_label': '17784.i1', 'torsion': [3]}
  • id: 909817
    {'degree': 12, 'field': [6371761, 8345626, -619912, -2308138, 401793, 23794, 834, -4604, 1742, -228, 8, -6, 1], 'lmfdb_label': '17784.i1', '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: 398114
    {'conductor': 17784, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '17784.i1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 398115
    {'conductor': 17784, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17784.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 398116
    {'conductor': 17784, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17784.i1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 398117
    {'conductor': 17784, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17784.i1', 'prime': 19, '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': [[1, 1, 493, 0], [287, 2, 287, 3], [457, 2, 457, 3], [1, 0, 2, 1], [1, 2, 0, 1], [493, 2, 492, 3]], 'adelic_image': '494.2.0.?', 'conductor': 17784, 'lmfdb_label': '17784.i1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 814699
    {'lmfdb_iso': '17784.i', 'p': 7, 'prec': 20, 'unit': 7716774005384429, 'val': 1}
  • id: 814697
    {'lmfdb_iso': '17784.i', 'p': 11, 'prec': 20, 'unit': 38777445874207639684, 'val': 1}
  • id: 814704
    {'lmfdb_iso': '17784.i', 'p': 17, 'prec': 20, 'unit': 193860729178363941561470, 'val': 1}
  • id: 814708
    {'lmfdb_iso': '17784.i', 'p': 23, 'prec': 20, 'unit': 65087952908797382091251176, 'val': 1}
  • id: 814702
    {'lmfdb_iso': '17784.i', 'p': 29, 'prec': 20, 'unit': 4894272425694548684770941374, 'val': 1}
  • id: 814713
    {'lmfdb_iso': '17784.i', 'p': 31, 'prec': 20, 'unit': 10432392812722325420635019402, 'val': 1}
  • id: 814698
    {'lmfdb_iso': '17784.i', 'p': 37, 'prec': 20, 'unit': 549062463010499170221912840271, 'val': 1}
  • id: 814700
    {'lmfdb_iso': '17784.i', 'p': 41, 'prec': 20, 'unit': 1714819859602370799439436517023, 'val': 1}
  • id: 814701
    {'lmfdb_iso': '17784.i', 'p': 43, 'prec': 20, 'unit': 4527679766527899731165405918465, 'val': 1}
  • id: 814711
    {'lmfdb_iso': '17784.i', 'p': 47, 'prec': 20, 'unit': 40441050467236832959229274183631, 'val': 1}
  • id: 814706
    {'lmfdb_iso': '17784.i', 'p': 53, 'prec': 20, 'unit': 476952507290034390772170199526894, 'val': 1}
  • id: 814707
    {'lmfdb_iso': '17784.i', 'p': 59, 'prec': 20, 'unit': 2876340141731003292586461422433864, 'val': 1}
  • id: 814712
    {'lmfdb_iso': '17784.i', 'p': 61, 'prec': 20, 'unit': 8229809412023825423754514915792093, 'val': 1}
  • id: 814696
    {'lmfdb_iso': '17784.i', 'p': 67, 'prec': 20, 'unit': 39193685196157172198031008540582413, 'val': 1}
  • id: 814710
    {'lmfdb_iso': '17784.i', 'p': 71, 'prec': 20, 'unit': 120957424352070068408346826291216912, 'val': 1}
  • id: 814703
    {'lmfdb_iso': '17784.i', 'p': 79, 'prec': 20, 'unit': 1065717765405019266739137176635309038, 'val': 1}
  • id: 814705
    {'lmfdb_iso': '17784.i', 'p': 83, 'prec': 20, 'unit': 177943952819258823664835487152301960, 'val': 1}
  • id: 814709
    {'lmfdb_iso': '17784.i', 'p': 89, 'prec': 20, 'unit': 60342117554847303631277240062312955, 'val': 2}
  • id: 814695
    {'lmfdb_iso': '17784.i', 'p': 97, 'prec': 20, 'unit': 36297349852978094711450317539881520415, 'val': 1}