Elliptic curve data - 34650.q2

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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': '34650q', 'Clabel': '34650q5', 'Cnumber': 5, 'abc_quality': 1.0084342270778677, 'absD': 7879889144531250, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -56700567, -164320502909], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 34650, 'degree': 1769472, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8359998545095663932651226080', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1769857772964702379561, 691787250], 'lmfdb_iso': '34650.q', 'lmfdb_label': '34650.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -252003, 48670756], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '15.8.0-3.a.1.1', '24.48.0.bu.2', '30.24.0-6.a.1.1', '40.12.0-4.c.1.1', '60.48.0-12.g.1.5', '84.48.0.?', '120.96.0.?', '168.96.0.?', '264.96.1.?', '420.96.0.?', '616.12.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.6441303344746064278930228072', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 2, 3850], [5, 18, 1386], [7, 8, 4950], [11, 12, 3150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4819747539584613602671203229', 'prec': 100}, 'szpiro_ratio': 6.234875812817096, '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, -2, 1, 0, 1, 6, 0, -4, 0], 'aplist': [-1, 0, 0, -1, 1, -2, 6, -4, 0, -6, -4, -2, -6, 4, 0, 6, 0, 2, 4, 0, -2, 8, 12, -6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 34650, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '34650.q', 'trace_hash': 1757621827106315251}
• 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': '0.0034409774379450693925368004406', 'prec': 110}, 'conductor': 34650, 'gens': [[12683, 1069109, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.6441303344746064278930228072', 'prec': 100}], 'lmfdb_label': '34650.q2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.055017734585087556625225656546', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8046437476882241820180047349037540426', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-17389, 17389, 2]], 'xcoord_integral_points': [12683]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 2], '3': 'a', '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '34650.q2'}
• ec_torsion_growth •

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

  
  
  • id: 1719117
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 2]}
  • id: 1719120
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '34650.q2', 'torsion': [6]}
  • id: 1719118
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [4]}
  • id: 1719119
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [4]}
  • id: 1719123
    {'degree': 4, 'field': [16, 0, 2, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [12]}
  • id: 1719122
    {'degree': 4, 'field': [114, -36, 37, -2, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 6]}
  • id: 1719121
    {'degree': 4, 'field': [121, 0, 62, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 4]}
  • id: 1719124
    {'degree': 4, 'field': [196, 0, -7, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [12]}
  • id: 1719125
    {'degree': 6, 'field': [24331, -1389, 462, -303, 0, -3, 1], 'lmfdb_label': '34650.q2', 'torsion': [6]}
  • id: 1719129
    {'degree': 8, 'field': [414, 612, -414, -420, 271, -76, 30, -4, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 12]}
  • id: 1719126
    {'degree': 8, 'field': [29815, 13940, -14210, 560, -329, 56, -14, -4, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 4]}
  • id: 1719127
    {'degree': 8, 'field': [933156, 0, 79632, 0, 3894, 0, 48, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [8]}
  • id: 1719128
    {'degree': 8, 'field': [1920996, 0, 51744, 0, 2821, 0, 14, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [8]}
  • id: 1719130
    {'degree': 12, 'field': [669124, 289572, 89216, 20532, -13824, -3984, 3115, -909, 78, -15, 8, -3, 1], 'lmfdb_label': '34650.q2', 'torsion': [3, 6]}
  • id: 1719131
    {'degree': 12, 'field': [121392391, -19276146, 20314919, -2074866, 1028886, 15462, -13931, 7722, -2172, 150, -19, -6, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 6]}
  • id: 1719132
    {'degree': 12, 'field': [565863824, 131584992, 5407536, -14586880, -1280184, -3696, 142656, 0, 120, -616, 18, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [12]}
  • id: 1719133
    {'degree': 12, 'field': [3192121801, -621904030, 352701459, -41163120, 15862134, -1278422, 447257, -24634, 8514, -240, 111, -2, 1], 'lmfdb_label': '34650.q2', 'torsion': [12]}
  • id: 1719137
    {'degree': 16, 'field': [2523655696, 0, -168496448, 0, 46316608, 0, 1179424, 0, 671800, 0, -2096, 0, -752, 0, -8, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 12]}
  • id: 1719134
    {'degree': 16, 'field': [3049800625, 0, 0, 0, 83453500, 0, 0, 0, 919350, 0, 0, 0, -740, 0, 0, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [4, 4]}
  • id: 1719135
    {'degree': 16, 'field': [5426532225, 0, -1303910460, 0, 314912124, 0, 135403704, 0, 11905119, 0, 526248, 0, 21996, 0, 84, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 8]}
  • id: 1719139
    {'degree': 16, 'field': [23383303056, 0, 1566782160, 0, 241954216, 0, -34442940, 0, 3851841, 0, -198100, 0, 6846, 0, -120, 0, 1], 'lmfdb_label': '34650.q2', 'torsion': [24]}
  • id: 1719136
    {'degree': 16, 'field': [275192065600, -45171148800, 47190896000, -4126830400, 2285618420, -277308960, 109763540, -13980480, 2460481, 605712, -38792, -42776, 5370, 784, -92, -8, 1], 'lmfdb_label': '34650.q2', 'torsion': [2, 8]}
  • id: 1719138
    {'degree': 16, 'field': [433938351339, -14519484432, 15476838804, -1868025960, 819238524, 132228456, -34635120, -8648328, 2880409, -515720, 141028, -22016, 4822, -560, 100, -8, 1], 'lmfdb_label': '34650.q2', 'torsion': [24]}
  • id: 1719140
    {'degree': 18, 'field': [447334019100, 577901398500, 272901349800, 21287475450, -26325427950, -12247109550, -1708689255, 565950240, 292032180, 41707845, -14263515, -2467800, 672991, -41046, -7995, 1525, -30, -6, 1], 'lmfdb_label': '34650.q2', '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: 813049
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34650.q2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 813050
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '34650.q2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 813051
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '34650.q2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 813052
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34650.q2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 813053
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '34650.q2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1895636
    {'adelic_gens': [[4242, 2719, 7037, 6692], [2311, 24, 2310, 1], [1, 12, 12, 145], [15, 106, 7934, 11], [1336, 3, 6141, 9154], [2521, 24, 2532, 289], [5528, 9237, 6003, 86], [9217, 24, 9216, 25], [1, 24, 0, 1], [9224, 4599, 1825, 3454], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 34650, 'lmfdb_label': '34650.q2', 'prime': 0}
  • id: 154272
    {'conductor': 34650, 'elladic_image': '4.6.0.1', 'lmfdb_label': '34650.q2', 'modell_image': '2B', 'prime': 2}
  • id: 154273
    {'conductor': 34650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '34650.q2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1694980
    {'lmfdb_iso': '34650.q', 'p': 13, 'prec': 20, 'unit': 609540456789660793275, 'val': 1}
  • id: 1694982
    {'lmfdb_iso': '34650.q', 'p': 17, 'prec': 20, 'unit': 16395856870673588769828, 'val': 1}
  • id: 1694973
    {'lmfdb_iso': '34650.q', 'p': 19, 'prec': 20, 'unit': 1286503740740214021346803, 'val': 1}
  • id: 1694979
    {'lmfdb_iso': '34650.q', 'p': 29, 'prec': 20, 'unit': 3393199721770670725797375264, 'val': 1}
  • id: 1694988
    {'lmfdb_iso': '34650.q', 'p': 31, 'prec': 20, 'unit': 15755136120478503819559984601, 'val': 1}
  • id: 1694976
    {'lmfdb_iso': '34650.q', 'p': 37, 'prec': 20, 'unit': 378001255438433890354106089329, 'val': 1}
  • id: 1694977
    {'lmfdb_iso': '34650.q', 'p': 41, 'prec': 20, 'unit': 1519140713912903018156386373111, 'val': 1}
  • id: 1694978
    {'lmfdb_iso': '34650.q', 'p': 43, 'prec': 20, 'unit': 2907130944415511277139544341265, 'val': 1}
  • id: 1694984
    {'lmfdb_iso': '34650.q', 'p': 53, 'prec': 20, 'unit': 368525872285463841820243893174955, 'val': 1}
  • id: 1694987
    {'lmfdb_iso': '34650.q', 'p': 61, 'prec': 20, 'unit': 1811639340238818881570361374334920, 'val': 1}
  • id: 1694975
    {'lmfdb_iso': '34650.q', 'p': 67, 'prec': 20, 'unit': 43205737948327013667397380095180030, 'val': 1}
  • id: 1694985
    {'lmfdb_iso': '34650.q', 'p': 73, 'prec': 20, 'unit': 53011005065564681564478487097385169, 'val': 1}
  • id: 1694981
    {'lmfdb_iso': '34650.q', 'p': 79, 'prec': 20, 'unit': 633129760923428001392606604160564100, 'val': 1}
  • id: 1694983
    {'lmfdb_iso': '34650.q', 'p': 83, 'prec': 20, 'unit': 2029646723879277757672294440721162789, 'val': 1}
  • id: 1694986
    {'lmfdb_iso': '34650.q', 'p': 89, 'prec': 20, 'unit': 843808440984407362128471840931858871, 'val': 1}
  • id: 1694974
    {'lmfdb_iso': '34650.q', 'p': 97, 'prec': 20, 'unit': 3018448774967118160893069319294482546, 'val': 1}