Elliptic curve data - 31096.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': '31096e', 'Clabel': '31096e2', 'Cnumber': 2, 'abc_quality': 0.8950584960350794, 'absD': 5229326256128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [0, 0, 0, -5915, 136214], 'analytic_rank': 1, 'bad_primes': [2, 13, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 31096, 'degree': 55296, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1529273425313603217570187748', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [2315250, 529], 'lmfdb_iso': '31096.f', 'lmfdb_label': '31096.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -35, 62], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8729719515184215611880400096', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 169], [13, 86, 184], [23, 24, 1352]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76493225171269124656885439065', 'prec': 107}, 'szpiro_ratio': 3.641367434344358, '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, 0, 0, 0, 0, -4, 0, -3, 0, -6, 0, 0, 0, 0, 0, 6, 0, 6, 0], 'aplist': [0, 0, 0, -4, -6, 0, 6, 6, 1, -6, 0, 8, -6, -2, 8, -8, -4, -4, -2, 8, -6, 12, -10, -10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 31096, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '31096.f', 'trace_hash': 495056109807773156}
• 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': '0.099673574722678162300248841557', 'prec': 107}, 'conductor': 31096, 'gens': [[142, 5842, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.8729719515184215611880400096', 'prec': 100}], 'lmfdb_label': '31096.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.72054157423633470442676514413', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5111788811565875475359907459150255671', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[26, 0, 1]], 'xcoord_integral_points': [26]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 1, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '31096.f1'}
• ec_torsion_growth •

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

  
  
  • id: 1551076
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '31096.f1', 'torsion': [2, 2]}
  • id: 1551077
    {'degree': 4, 'field': [1352, 0, -39, 0, 1], 'lmfdb_label': '31096.f1', 'torsion': [4]}
  • id: 1551080
    {'degree': 8, 'field': [-2415, 1656, -1932, 870, 96, -54, -12, 0, 1], 'lmfdb_label': '31096.f1', 'torsion': [6]}
  • id: 1551079
    {'degree': 8, 'field': [784, 0, -608, 0, 38, 0, -8, 0, 1], 'lmfdb_label': '31096.f1', 'torsion': [2, 4]}
  • id: 1551078
    {'degree': 8, 'field': [191844, 0, -20636, 0, 773, 0, -28, 0, 1], 'lmfdb_label': '31096.f1', 'torsion': [2, 4]}
  • id: 1551082
    {'degree': 16, 'field': [15475825, -27031800, 7335416, 6408348, -544904, -3511068, 1002332, 432816, -161342, -14376, -5524, 3468, 688, -108, -40, 0, 1], 'lmfdb_label': '31096.f1', 'torsion': [2, 6]}
  • id: 1551081
    {'degree': 16, 'field': [273509392, -412984416, 311533808, -154088864, 43788428, 24488, -5387264, 2258168, -322468, -74588, 41910, -6072, -649, 368, -29, -6, 1], 'lmfdb_label': '31096.f1', '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: 725267
    {'conductor': 31096, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '31096.f1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 725268
    {'conductor': 31096, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '31096.f1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 725269
    {'conductor': 31096, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '31096.f1', 'prime': 23, '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: 1871753
    {'adelic_gens': [[2, 1, 91, 0], [1, 2, 2, 5], [25, 162, 160, 23], [3, 4, 8, 11], [181, 4, 180, 5], [1, 4, 0, 1], [97, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 31096, 'lmfdb_label': '31096.f1', 'prime': 0}
  • id: 139349
    {'conductor': 31096, 'elladic_image': '8.6.0.6', 'lmfdb_label': '31096.f1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1508686
    {'lmfdb_iso': '31096.f', 'p': 7, 'prec': 20, 'unit': 8742828469941774, 'val': 1}
  • id: 1508691
    {'lmfdb_iso': '31096.f', 'p': 11, 'prec': 20, 'unit': 2118178228261562968, 'val': 1}
  • id: 1508692
    {'lmfdb_iso': '31096.f', 'p': 17, 'prec': 20, 'unit': 43218592036528990671215, 'val': 1}
  • id: 1508693
    {'lmfdb_iso': '31096.f', 'p': 19, 'prec': 20, 'unit': 385902435367510448181461, 'val': 1}
  • id: 1508689
    {'lmfdb_iso': '31096.f', 'p': 29, 'prec': 20, 'unit': 4431444150699868785438866337, 'val': 1}
  • id: 1508685
    {'lmfdb_iso': '31096.f', 'p': 37, 'prec': 20, 'unit': 80695524118091133196943867, 'val': 1}
  • id: 1508687
    {'lmfdb_iso': '31096.f', 'p': 41, 'prec': 20, 'unit': 1377305585549749013326656033919, 'val': 1}
  • id: 1508688
    {'lmfdb_iso': '31096.f', 'p': 43, 'prec': 20, 'unit': 9549639440584277761473665783306, 'val': 1}
  • id: 1508699
    {'lmfdb_iso': '31096.f', 'p': 47, 'prec': 20, 'unit': 48477656793584031529442317817939, 'val': 1}
  • id: 1508694
    {'lmfdb_iso': '31096.f', 'p': 53, 'prec': 20, 'unit': 399172744493753649097968844705710, 'val': 1}
  • id: 1508695
    {'lmfdb_iso': '31096.f', 'p': 59, 'prec': 20, 'unit': 4167720324662673046304841620745240, 'val': 1}
  • id: 1508700
    {'lmfdb_iso': '31096.f', 'p': 61, 'prec': 20, 'unit': 6214296138458373161044679221355261, 'val': 1}
  • id: 1508684
    {'lmfdb_iso': '31096.f', 'p': 67, 'prec': 20, 'unit': 24989710417423921831519699396005926, 'val': 1}
  • id: 1508698
    {'lmfdb_iso': '31096.f', 'p': 71, 'prec': 20, 'unit': 141863520121250259575027005089346591, 'val': 1}
  • id: 1508696
    {'lmfdb_iso': '31096.f', 'p': 73, 'prec': 20, 'unit': 221419786232778204385648199473618481, 'val': 1}
  • id: 1508690
    {'lmfdb_iso': '31096.f', 'p': 79, 'prec': 20, 'unit': 30374743999777868470932317409734141, 'val': 1}
  • id: 1508683
    {'lmfdb_iso': '31096.f', 'p': 83, 'prec': 20, 'unit': 196114308969875437721804548627298877, 'val': 1}
  • id: 1508697
    {'lmfdb_iso': '31096.f', 'p': 89, 'prec': 20, 'unit': 5805001814854148900878036274814097482, 'val': 1}
  • id: 1508682
    {'lmfdb_iso': '31096.f', 'p': 97, 'prec': 20, 'unit': 54959624117873509636223735716742276640, 'val': 1}