Elliptic curve data - 34650.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': '34650l', 'Clabel': '34650l3', 'Cnumber': 3, 'abc_quality': 0.9694757178515486, 'absD': 12674382336000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -2095542, 1155488116], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 34650, 'degree': 995328, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4752411504767143646563817937', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [89343998142858649, 1112702976000], 'lmfdb_iso': '34650.f', 'lmfdb_label': '34650.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -9314, -342988], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.2', '24.24.0.cc.1', '30.24.0-6.a.1.2', '120.48.0.?', '462.24.0.?', '770.6.0.?', '1848.48.0.?', '2310.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 17325], [3, 8, 275], [5, 18, 1386], [7, 8, 4950], [11, 12, 3150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1212160499256093316583795086', 'prec': 100}, 'szpiro_ratio': 5.288366149489097, '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, 0, 0, -1, -1, 0, 0, -1, 0, 4, 1, 0, 1, 0, 0, -4, 0], 'aplist': [-1, 0, 0, -1, -1, 4, 0, -4, 6, -6, -4, -8, -6, -8, 0, 6, 0, -10, -2, -12, 10, -4, 12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 34650, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '34650.f', 'trace_hash': 102516961379529614}
• 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': '0.0070799934178904655220484161686', 'prec': 110}, 'conductor': 34650, 'gens': [], 'heights': [], 'lmfdb_label': '34650.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22552270792744516880428859811', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.90209083170978067521715439244042169397', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[764, -382, 1]], 'xcoord_integral_points': [764]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '34650.f1'}
• ec_torsion_growth •

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

  
  
  • id: 1718869
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '34650.f1', 'torsion': [2, 2]}
  • id: 1718870
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '34650.f1', 'torsion': [6]}
  • id: 1718871
    {'degree': 4, 'field': [79, -36, 16, 0, 1], 'lmfdb_label': '34650.f1', 'torsion': [4]}
  • id: 1718872
    {'degree': 4, 'field': [324, 0, -41, 0, 1], 'lmfdb_label': '34650.f1', 'torsion': [2, 6]}
  • id: 1718873
    {'degree': 6, 'field': [2904, 0, 0, -99, 0, 0, 1], 'lmfdb_label': '34650.f1', 'torsion': [6]}
  • id: 1718875
    {'degree': 8, 'field': [-4520304, -2717664, -618476, 2392, 25404, 1184, -339, -2, 1], 'lmfdb_label': '34650.f1', 'torsion': [2, 4]}
  • id: 1718876
    {'degree': 8, 'field': [225, 0, -210, 0, 151, 0, -22, 0, 1], 'lmfdb_label': '34650.f1', 'torsion': [12]}
  • id: 1718874
    {'degree': 8, 'field': [74151, 11088, -9204, -3756, 1849, 32, -6, -4, 1], 'lmfdb_label': '34650.f1', 'torsion': [2, 4]}
  • id: 1718877
    {'degree': 12, 'field': [138304, 96528, -10980, -650, -1569, -1977, 1631, -300, -84, -10, 9, -3, 1], 'lmfdb_label': '34650.f1', 'torsion': [3, 6]}
  • id: 1718878
    {'degree': 12, 'field': [2820199936, -484843200, -40624368, 49489852, -2376099, -926712, 279249, 6516, -3366, 718, 39, -6, 1], 'lmfdb_label': '34650.f1', 'torsion': [2, 6]}
  • id: 1718880
    {'degree': 16, 'field': [6168100, -3831000, 6489110, -3087140, -748839, 1414296, -5460, -345860, 55086, 83880, -17186, -9180, 2036, 340, -80, -4, 1], 'lmfdb_label': '34650.f1', 'torsion': [2, 12]}
  • id: 1718879
    {'degree': 16, 'field': [13189262625, -51844023000, 88399679400, -80435127600, 28142833800, 5250310200, -994292280, -288741600, -20154290, 7299960, 924344, 16656, 11016, -984, 152, 0, 1], 'lmfdb_label': '34650.f1', 'torsion': [8]}
  • id: 1718881
    {'degree': 16, 'field': [55313446164601, 0, -7271858434282, 0, 376319357465, 0, -12626001702, 0, 324516524, 0, -5687538, 0, 59945, 0, -358, 0, 1], 'lmfdb_label': '34650.f1', 'torsion': [2, 12]}
  • id: 1718882
    {'degree': 18, 'field': [-2342953491516, 299475886446, 3068872997355, -2510226977742, 705155274945, -15240594204, -28053096291, 4116245760, -32715738, -30107880, 15039090, -1288980, -601570, 20130, 17775, -122, -243, 0, 1], 'lmfdb_label': '34650.f1', 'torsion': [18]}
• 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: 812959
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '34650.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 812960
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '34650.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 812961
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '34650.f1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 812962
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '34650.f1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 812963
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34650.f1', 'prime': 11, '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

  
  
  • id: 1895602
    {'adelic_gens': [[6610, 3, 5253, 9232], [4621, 12, 6, 73], [11, 2, 9190, 9231], [6730, 3, 5853, 9232], [9230, 9237, 7419, 8], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [6555, 5008, 6518, 4997], [1, 12, 0, 1], [3079, 9228, 7694, 9167]], 'adelic_image': '9240.96.1.?', 'conductor': 34650, 'lmfdb_label': '34650.f1', 'prime': 0}
  • id: 154220
    {'conductor': 34650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '34650.f1', 'modell_image': '2B', 'prime': 2}
  • id: 154221
    {'conductor': 34650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '34650.f1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 34650.f does not appear in ec_padic