Elliptic curve data - 882.d2

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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': '882d', 'Clabel': '882d1', 'Cnumber': 1, 'abc_quality': 1.1169180726528216, 'absD': 214326, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 168, 'ainvs': [1, -1, 0, -9, 27], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 882, 'degree': 96, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.28917236670694783599234004700', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [-2401, 6], 'lmfdb_iso': '882.d', 'lmfdb_label': '882.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, -1], 'min_quad_twist_disc': -3, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '21.48.0-7.a.2.2', '24.2.0.b.1', '56.48.0-7.a.2.5', '168.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.16580862904464266898002738580', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 98], [7, 2, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1627968692168882325408547894', 'prec': 103}, 'szpiro_ratio': 2.939797266561512, '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, 0, 1, 1, 0, 0, -1, 0, -1, -5, 0, 0, 0, 0, 1, -4, 0, -8, 1], 'aplist': [-1, 0, 1, 0, -5, 0, -4, -8, 4, 5, -3, -4, 0, 2, -6, 9, -11, 6, -2, -2, -10, 3, -7, -6, -7], 'class_deg': 7, 'class_size': 2, 'conductor': 882, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '882.d', 'trace_hash': 1042063092827173414}
• 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': '1.7830845064547031541104654676', 'prec': 100}, 'conductor': 882, 'gens': [[3, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.16580862904464266898002738580', 'prec': 103}], 'lmfdb_label': '882.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.7923167772661855762328584941', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8519608667874442881184657340075040381', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-3, 3, 13]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '882.d2'}
• ec_torsion_growth •

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

  
  
  • id: 41819
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '882.d2', 'torsion': [2]}
  • id: 41821
    {'degree': 6, 'field': [1, -8, 8, 6, -6, -1, 1], 'lmfdb_label': '882.d2', 'torsion': [7]}
  • id: 41820
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '882.d2', 'torsion': [2, 2]}
  • id: 41822
    {'degree': 8, 'field': [-24, 20, -80, 72, -76, 46, -12, -1, 1], 'lmfdb_label': '882.d2', 'torsion': [3]}
  • id: 41823
    {'degree': 12, 'field': [-2778, -736, 2589, -4260, -169, 2284, -2401, 1152, -361, 52, 5, -4, 1], 'lmfdb_label': '882.d2', 'torsion': [4]}
  • id: 41824
    {'degree': 14, 'field': [48, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '882.d2', 'torsion': [7]}
  • id: 41825
    {'degree': 18, 'field': [1, -8, 15, 17, -63, 39, 15, -21, -54, -54, 117, 45, -23, 22, -3, -5, 2, 0, 1], 'lmfdb_label': '882.d2', 'torsion': [14]}
• 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: 11682
    {'conductor': 882, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '882.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11683
    {'conductor': 882, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '882.d2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11684
    {'conductor': 882, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '882.d2', 'prime': 7, 'reduction_type': 0, '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: 1670141
    {'adelic_gens': [[127, 14, 0, 1], [1, 0, 14, 1], [129, 80, 70, 113], [8, 5, 91, 57], [155, 14, 154, 15], [85, 14, 91, 99], [1, 14, 0, 1], [55, 154, 49, 69]], 'adelic_image': '168.96.2.?', 'conductor': 882, 'lmfdb_label': '882.d2', 'prime': 0}
  • id: 4093
    {'conductor': 882, 'elladic_image': '7.24.0.2', 'lmfdb_label': '882.d2', 'modell_image': '7B.6.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 18549
    {'lmfdb_iso': '882.d', 'p': 5, 'prec': 20, 'unit': 46806742583186, 'val': -1}
  • id: 18556
    {'lmfdb_iso': '882.d', 'p': 11, 'prec': 20, 'unit': 60256813185594209673, 'val': 1}
  • id: 18557
    {'lmfdb_iso': '882.d', 'p': 17, 'prec': 20, 'unit': 209972251501284081038223, 'val': 1}
  • id: 18558
    {'lmfdb_iso': '882.d', 'p': 19, 'prec': 20, 'unit': 1936783731011761283510997, 'val': 1}
  • id: 18561
    {'lmfdb_iso': '882.d', 'p': 23, 'prec': 20, 'unit': 51376999711900523732811572, 'val': 1}
  • id: 18554
    {'lmfdb_iso': '882.d', 'p': 29, 'prec': 20, 'unit': 2812938908277820832380498983, 'val': 1}
  • id: 18551
    {'lmfdb_iso': '882.d', 'p': 31, 'prec': 20, 'unit': 17074151617743472628144042413, 'val': 1}
  • id: 18565
    {'lmfdb_iso': '882.d', 'p': 37, 'prec': 20, 'unit': 326979168287855263045016105435, 'val': 1}
  • id: 18553
    {'lmfdb_iso': '882.d', 'p': 43, 'prec': 20, 'unit': 90978336358870309014005040984, 'val': 1}
  • id: 18563
    {'lmfdb_iso': '882.d', 'p': 47, 'prec': 20, 'unit': 27636887594823544586047986693873, 'val': 1}
  • id: 18559
    {'lmfdb_iso': '882.d', 'p': 53, 'prec': 20, 'unit': 403542970717271028103319798472476, 'val': 1}
  • id: 18560
    {'lmfdb_iso': '882.d', 'p': 59, 'prec': 20, 'unit': 4223372715656000176577295631593137, 'val': 1}
  • id: 18564
    {'lmfdb_iso': '882.d', 'p': 61, 'prec': 20, 'unit': 232476878555259541990002016701540, 'val': 1}
  • id: 18548
    {'lmfdb_iso': '882.d', 'p': 67, 'prec': 20, 'unit': 15528253367804852976769064100940189, 'val': 1}
  • id: 18550
    {'lmfdb_iso': '882.d', 'p': 71, 'prec': 20, 'unit': 101331094849214766287857173799509517, 'val': 1}
  • id: 18552
    {'lmfdb_iso': '882.d', 'p': 73, 'prec': 20, 'unit': 123560161264947863969934568961093551, 'val': 1}
  • id: 18555
    {'lmfdb_iso': '882.d', 'p': 79, 'prec': 20, 'unit': 991084564755170880439898055993456076, 'val': 1}
  • id: 18547
    {'lmfdb_iso': '882.d', 'p': 83, 'prec': 20, 'unit': 1506958922802505912043416213860106089, 'val': 1}
  • id: 18562
    {'lmfdb_iso': '882.d', 'p': 89, 'prec': 20, 'unit': 1421166583763661756971507438632922553, 'val': 1}
  • id: 18546
    {'lmfdb_iso': '882.d', 'p': 97, 'prec': 20, 'unit': 15814787427573207941291527320402089802, 'val': 1}