Elliptic curve data - 34848.t1

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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': '34848ba', 'Clabel': '34848ba4', 'Cnumber': 4, 'abc_quality': 1.0374920117698965, 'absD': 1983694800384, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -35211, 2542210], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 34848, 'degree': 81920, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3220334102300739693429796457', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [7301384, 3], 'lmfdb_iso': '34848.t', 'lmfdb_label': '34848.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -32, -60], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0.bi.1', '44.12.0-4.c.1.1', '88.24.0.?', '264.48.0.?'], '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': '7.1506746820999103762464811473', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 3872], [11, 62, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94608075592312513044853885284', 'prec': 107}, 'szpiro_ratio': 4.113392159845831, '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, -2, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -2, 4, 0, 2, -6, 4, 0, 2, 4, -2, 2, -4, -8, -10, 4, -6, 4, 16, 6, -4, 12, -10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 34848, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '34848.t', 'trace_hash': 1074773724018760525}
• 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': '0.071071645409170903714257408918', 'prec': 107}, 'conductor': 34848, 'gens': [[6686, 180900, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '7.1506746820999103762464811473', 'prec': 100}], 'lmfdb_label': '34848.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.81567224955078405953242374140', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8326069037542715690941157040938075850', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[110, 0, 1]], 'xcoord_integral_points': [110]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '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, 0]}, 'iwp0': 0, 'lmfdb_label': '34848.t1'}
• ec_torsion_growth •

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

  
  
  • id: 1731465
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [4]}
  • id: 1731464
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [4]}
  • id: 1731463
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [2, 2]}
  • id: 1731466
    {'degree': 4, 'field': [25, 0, -34, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [2, 4]}
  • id: 1731470
    {'degree': 8, 'field': [-11271, 3632, -3506, 2208, -112, -56, -18, -4, 1], 'lmfdb_label': '34848.t1', 'torsion': [6]}
  • id: 1731468
    {'degree': 8, 'field': [22, 0, -206, 24, 147, -12, -26, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [8]}
  • id: 1731467
    {'degree': 8, 'field': [489, -876, 882, -24, 43, -40, 18, -4, 1], 'lmfdb_label': '34848.t1', 'torsion': [2, 4]}
  • id: 1731469
    {'degree': 8, 'field': [1849, 0, 768, 0, 208, 0, 24, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [8]}
  • id: 1731474
    {'degree': 16, 'field': [-99846, -1487592, 889020, -717912, -206952, 485136, -462564, 236928, -50016, -3468, 3508, 504, -186, -92, 12, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [2, 6]}
  • id: 1731475
    {'degree': 16, 'field': [-1399, 3108, 7462, -11320, -14570, 13352, 10458, -6844, -4297, 1996, 1286, -524, -216, 112, 4, -8, 1], 'lmfdb_label': '34848.t1', 'torsion': [12]}
  • id: 1731472
    {'degree': 16, 'field': [-50, -480, 1604, 4808, -13138, -3792, 21524, -3732, -13025, 4788, 3064, -1580, -222, 196, -8, -8, 1], 'lmfdb_label': '34848.t1', 'torsion': [2, 8]}
  • id: 1731471
    {'degree': 16, 'field': [25281, 0, 12780, 0, 57270, 0, 12000, 0, -569, 0, -920, 0, 210, 0, -20, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [4, 4]}
  • id: 1731473
    {'degree': 16, 'field': [3418801, 0, -1420032, 0, 205232, 0, -70992, 0, 22983, 0, -3456, 0, 368, 0, -24, 0, 1], 'lmfdb_label': '34848.t1', 'torsion': [2, 8]}
  • id: 1731476
    {'degree': 16, 'field': [6912321, -552972, -18190064, 3896636, 9016342, -8406104, 51500, 10276, 77024, -61100, 6368, 5324, -1418, 272, 16, -4, 1], 'lmfdb_label': '34848.t1', 'torsion': [12]}
• 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: 819555
    {'conductor': 34848, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '34848.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 819556
    {'conductor': 34848, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '34848.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 819557
    {'conductor': 34848, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '34848.t1', 'prime': 11, 'reduction_type': 0, '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: 1897130
    {'adelic_gens': [[119, 0, 0, 263], [1, 8, 0, 1], [7, 6, 258, 259], [257, 8, 256, 9], [1, 0, 8, 1], [144, 209, 187, 78], [32, 165, 11, 142], [120, 55, 143, 252], [1, 4, 4, 17]], 'adelic_image': '264.48.0.?', 'conductor': 34848, 'lmfdb_label': '34848.t1', 'prime': 0}
  • id: 155175
    {'conductor': 34848, 'elladic_image': '8.12.0.11', 'lmfdb_label': '34848.t1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1707516
    {'lmfdb_iso': '34848.t', 'p': 5, 'prec': 20, 'unit': 9810598669196, 'val': 1}
  • id: 1707517
    {'lmfdb_iso': '34848.t', 'p': 7, 'prec': 20, 'unit': 2239845431288683, 'val': 1}
  • id: 1707522
    {'lmfdb_iso': '34848.t', 'p': 13, 'prec': 20, 'unit': 1459222929464426811200, 'val': 1}
  • id: 1707524
    {'lmfdb_iso': '34848.t', 'p': 17, 'prec': 20, 'unit': 38792139363376680873267, 'val': 1}
  • id: 1707525
    {'lmfdb_iso': '34848.t', 'p': 19, 'prec': 20, 'unit': 646208801504474676073325, 'val': 1}
  • id: 1707521
    {'lmfdb_iso': '34848.t', 'p': 29, 'prec': 20, 'unit': 5970113128857912446543481117, 'val': 1}
  • id: 1707518
    {'lmfdb_iso': '34848.t', 'p': 31, 'prec': 20, 'unit': 3906276776689009404939399789, 'val': 1}
  • id: 1707533
    {'lmfdb_iso': '34848.t', 'p': 37, 'prec': 20, 'unit': 4370484180193771504197895372, 'val': 1}
  • id: 1707519
    {'lmfdb_iso': '34848.t', 'p': 41, 'prec': 20, 'unit': 2443577588575854259731716914789, 'val': 1}
  • id: 1707520
    {'lmfdb_iso': '34848.t', 'p': 43, 'prec': 20, 'unit': 10310557949591339805190421062891, 'val': 1}
  • id: 1707531
    {'lmfdb_iso': '34848.t', 'p': 47, 'prec': 20, 'unit': 44766144539446062948935414227103, 'val': 1}
  • id: 1707526
    {'lmfdb_iso': '34848.t', 'p': 53, 'prec': 20, 'unit': 428963699178098130510007093978009, 'val': 1}
  • id: 1707527
    {'lmfdb_iso': '34848.t', 'p': 59, 'prec': 20, 'unit': 2044180545173091458729568750703577, 'val': 1}
  • id: 1707532
    {'lmfdb_iso': '34848.t', 'p': 61, 'prec': 20, 'unit': 1647052449650941886840029124688338, 'val': 1}
  • id: 1707515
    {'lmfdb_iso': '34848.t', 'p': 67, 'prec': 20, 'unit': 7690983608449589480590208905519060, 'val': 1}
  • id: 1707530
    {'lmfdb_iso': '34848.t', 'p': 71, 'prec': 20, 'unit': 147855478884264758296567845864919627, 'val': 1}
  • id: 1707528
    {'lmfdb_iso': '34848.t', 'p': 73, 'prec': 20, 'unit': 146404132376191494138719212999768201, 'val': 1}
  • id: 1707523
    {'lmfdb_iso': '34848.t', 'p': 79, 'prec': 20, 'unit': 98641997265117010997170380703013013, 'val': 1}
  • id: 1707514
    {'lmfdb_iso': '34848.t', 'p': 83, 'prec': 20, 'unit': 998353679613097590082601319130182473, 'val': 1}
  • id: 1707529
    {'lmfdb_iso': '34848.t', 'p': 89, 'prec': 20, 'unit': 9520904989506484616393952845430637682, 'val': 1}
  • id: 1707513
    {'lmfdb_iso': '34848.t', 'p': 97, 'prec': 20, 'unit': 47566681305212015532101211776749495674, 'val': 1}