Elliptic curve data - 46800.a2

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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': '46800fr', 'Clabel': '46800fr1', 'Cnumber': 1, 'abc_quality': 0.945239209920167, 'absD': 3974941900800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 156, 'ainvs': [0, 0, 0, -469875, -156748750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 46800, 'degree': 1036800, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2802517117558438839430851516', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-9836106385, 3407872], 'lmfdb_iso': '46800.a', 'lmfdb_label': '46800.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -130, -780], 'min_quad_twist_disc': 60, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '52.2.0.a.1', '78.8.0.?', '156.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.990982178703671969187796785', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2925], [3, 2, 5200], [5, 14, 1872], [13, 14, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.035160221427556520905609143803', 'prec': 110}, 'szpiro_ratio': 4.76708001201571, '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, 0, 0, 0, 0, 0, -5, 0, 0, 0, -3, 0, 1, 0, 0, 0, -3, 0, 4, 0], 'aplist': [0, 0, 0, -5, -3, 1, -3, 4, 6, -9, -5, 2, 0, -2, -9, 9, -9, -1, -5, 0, 14, 16, -15, 6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 46800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '46800.a', 'trace_hash': 1650901515852866657}
• 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': '0.010456793422478743949665308862', 'prec': 107}, 'conductor': 46800, 'gens': [[235231, 1069254, 17]], 'heights': [{'__RealLiteral__': 0, 'data': '10.990982178703671969187796785', 'prec': 100}], 'lmfdb_label': '46800.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.089609224645866763395905560058', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9395735645207018296435579446490021626', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [2, 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': '46800.a2'}
• ec_torsion_growth •

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

  
  
  • id: 2283518
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '46800.a2', 'torsion': [3]}
  • id: 2283519
    {'degree': 3, 'field': [-13, -3, -1, 1], 'lmfdb_label': '46800.a2', 'torsion': [2]}
  • id: 2283522
    {'degree': 6, 'field': [-32, -8, 33, 38, -6, -2, 1], 'lmfdb_label': '46800.a2', 'torsion': [6]}
  • id: 2283520
    {'degree': 6, 'field': [36, 48, 41, 22, 6, -2, 1], 'lmfdb_label': '46800.a2', 'torsion': [2, 2]}
  • id: 2283521
    {'degree': 6, 'field': [144, 0, 508, 0, -43, 0, 1], 'lmfdb_label': '46800.a2', 'torsion': [3]}
  • id: 2283523
    {'degree': 12, 'field': [-6656, 14080, -9600, -1576, 5433, -2510, -132, 502, -178, 22, 12, -6, 1], 'lmfdb_label': '46800.a2', 'torsion': [4]}
  • id: 2283525
    {'degree': 12, 'field': [2304, -2880, 408, 2376, 130, -982, 623, -216, 137, -30, 5, -4, 1], 'lmfdb_label': '46800.a2', 'torsion': [2, 6]}
  • id: 2283524
    {'degree': 12, 'field': [20736, 0, -73152, 0, 264256, 0, 22132, 0, 1341, 0, 43, 0, 1], 'lmfdb_label': '46800.a2', 'torsion': [3, 3]}
  • id: 2283526
    {'degree': 18, 'field': [-6912, 0, 90180, 0, -147663, 0, 110277, 0, -51264, 0, 14742, 0, -2778, 0, 348, 0, -27, 0, 1], 'lmfdb_label': '46800.a2', 'torsion': [9]}
  • id: 2283527
    {'degree': 18, 'field': [20736, 0, 113296, 0, 233128, 0, 229625, 0, 122448, 0, 27368, 0, 2970, 0, 368, 0, 16, 0, 1], 'lmfdb_label': '46800.a2', 'torsion': [6]}
• 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: 1116993
    {'conductor': 46800, 'conductor_valuation': 4, 'discriminant_valuation': 30, 'j_denominator_valuation': 18, 'kodaira_symbol': -26, 'lmfdb_label': '46800.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1116994
    {'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '46800.a2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1116995
    {'conductor': 46800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '46800.a2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1116996
    {'conductor': 46800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46800.a2', 'prime': 13, '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: 1975704
    {'adelic_gens': [[153, 154, 146, 149], [1, 0, 6, 1], [4, 3, 9, 7], [77, 150, 75, 137], [3, 4, 8, 11], [145, 6, 123, 19], [90, 59, 143, 129], [151, 6, 150, 7], [1, 6, 0, 1]], 'adelic_image': '156.16.0.?', 'conductor': 46800, 'lmfdb_label': '46800.a2', 'prime': 0}
  • id: 202273
    {'conductor': 46800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '46800.a2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2346554
    {'lmfdb_iso': '46800.a', 'p': 7, 'prec': 20, 'unit': 4104306030650008, 'val': 1}
  • id: 2346559
    {'lmfdb_iso': '46800.a', 'p': 11, 'prec': 20, 'unit': 4051716545961241638, 'val': 1}
  • id: 2346560
    {'lmfdb_iso': '46800.a', 'p': 17, 'prec': 20, 'unit': 64334011084513925644059, 'val': 1}
  • id: 2346561
    {'lmfdb_iso': '46800.a', 'p': 19, 'prec': 20, 'unit': 1632221164443937064078979, 'val': 1}
  • id: 2346564
    {'lmfdb_iso': '46800.a', 'p': 23, 'prec': 20, 'unit': 5437939579861514279580049, 'val': 1}
  • id: 2346557
    {'lmfdb_iso': '46800.a', 'p': 29, 'prec': 20, 'unit': 1252079867620296203345542865, 'val': 1}
  • id: 2346568
    {'lmfdb_iso': '46800.a', 'p': 31, 'prec': 20, 'unit': 18639030655153764703100410211, 'val': 1}
  • id: 2346553
    {'lmfdb_iso': '46800.a', 'p': 37, 'prec': 20, 'unit': 124637445960017743214238290769, 'val': 1}
  • id: 2346556
    {'lmfdb_iso': '46800.a', 'p': 43, 'prec': 20, 'unit': 603019813161248708405588373143, 'val': 1}
  • id: 2346566
    {'lmfdb_iso': '46800.a', 'p': 47, 'prec': 20, 'unit': 17932124575799464990802266773026, 'val': 1}
  • id: 2346562
    {'lmfdb_iso': '46800.a', 'p': 53, 'prec': 20, 'unit': 524284737147605253526797614840650, 'val': 1}
  • id: 2346563
    {'lmfdb_iso': '46800.a', 'p': 59, 'prec': 20, 'unit': 2216418901653263623873405219329105, 'val': 1}
  • id: 2346567
    {'lmfdb_iso': '46800.a', 'p': 61, 'prec': 20, 'unit': 4818739227978914481166290156677016, 'val': 1}
  • id: 2346552
    {'lmfdb_iso': '46800.a', 'p': 67, 'prec': 20, 'unit': 25030611892681077736773678790793300, 'val': 1}
  • id: 2346555
    {'lmfdb_iso': '46800.a', 'p': 73, 'prec': 20, 'unit': 125337397891700309280967591574489756, 'val': 1}
  • id: 2346558
    {'lmfdb_iso': '46800.a', 'p': 79, 'prec': 20, 'unit': 293575893395263025462197338350117492, 'val': 1}
  • id: 2346551
    {'lmfdb_iso': '46800.a', 'p': 83, 'prec': 20, 'unit': 213991648820239518003632267508591355, 'val': 1}
  • id: 2346565
    {'lmfdb_iso': '46800.a', 'p': 89, 'prec': 20, 'unit': 3218668953097587902221550709555288356, 'val': 1}
  • id: 2346550
    {'lmfdb_iso': '46800.a', 'p': 97, 'prec': 20, 'unit': 47114034449325384231565563655425670261, 'val': 1}