Elliptic curve data - 13794.p3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '13794m', 'Clabel': '13794m1', 'Cnumber': 1, 'abc_quality': 1.047658380732593, 'absD': 58163890752, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5016, 'ainvs': [1, 0, 1, -971, -970], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 13794, 'degree': 17280, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.75514353801523317745867673982', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [57066625, 32832], 'lmfdb_iso': '13794.p', 'lmfdb_label': '13794.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8, 0], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '114.24.0.?', '264.48.0.?', '456.48.1.?', '1254.48.0.?', '5016.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7695785554159057472401646287', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44380409838395209457229504916', 'prec': 107}, 'szpiro_ratio': 3.3830401671656842, '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, 1, 1, 0, -1, 4, -1, 1, 0, 0, 1, 4, -4, 0, 1, -6, -1, -1, 0], 'aplist': [-1, 1, 0, 4, 0, 4, -6, -1, -6, -6, 2, -4, -6, 4, 6, 6, -12, -14, 8, 0, -14, 10, 12, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 13794, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '13794.p', 'trace_hash': 2218793358799287725}
• 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': '0.22084656910183224153802699947', 'prec': 103}, 'conductor': 13794, 'gens': [[-9, 88, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7695785554159057472401646287', 'prec': 100}], 'lmfdb_label': '13794.p3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.93044811639595356762086619967', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9395031011042061234664698204651906497', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-1, 0, 1]], 'xcoord_integral_points': [-9, -1, 120]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [5, 1, 0], '7': [1, 0], '11': 'a', '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '13794.p3'}
• ec_torsion_growth •

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

  
  
  • id: 709850
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '13794.p3', 'torsion': [2, 2]}
  • id: 709851
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '13794.p3', 'torsion': [6]}
  • id: 709853
    {'degree': 4, 'field': [289, 0, -23, 0, 1], 'lmfdb_label': '13794.p3', 'torsion': [2, 6]}
  • id: 709852
    {'degree': 4, 'field': [411, -18, 41, -2, 1], 'lmfdb_label': '13794.p3', 'torsion': [4]}
  • id: 709854
    {'degree': 6, 'field': [75, -375, 259, -54, 1, -3, 1], 'lmfdb_label': '13794.p3', 'torsion': [6]}
  • id: 709857
    {'degree': 8, 'field': [411, 96, -52, 32, 49, -4, 6, 0, 1], 'lmfdb_label': '13794.p3', 'torsion': [12]}
  • id: 709855
    {'degree': 8, 'field': [28273, -1162, 1429, 50, 810, -266, 55, -2, 1], 'lmfdb_label': '13794.p3', 'torsion': [2, 4]}
  • id: 709856
    {'degree': 8, 'field': [988036, 0, -66646, 0, -1047, 0, 20, 0, 1], 'lmfdb_label': '13794.p3', 'torsion': [2, 4]}
  • id: 709858
    {'degree': 12, 'field': [144, -1548, 5847, -3225, 580, 111, -325, 108, 21, 21, -4, -3, 1], 'lmfdb_label': '13794.p3', 'torsion': [3, 6]}
  • id: 709859
    {'degree': 12, 'field': [23104, 0, 0, 0, 0, 0, -4921, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '13794.p3', 'torsion': [2, 6]}
  • id: 709861
    {'degree': 16, 'field': [413449, 0, -989952, 0, 716638, 0, -136884, 0, -6753, 0, 3684, 0, 622, 0, 36, 0, 1], 'lmfdb_label': '13794.p3', 'torsion': [2, 12]}
  • id: 709860
    {'degree': 16, 'field': [19630956, 14896032, -437136, -8545968, -79742, 5301424, 657192, -836336, 300759, -56536, 19656, -5152, 642, -32, 12, -8, 1], 'lmfdb_label': '13794.p3', 'torsion': [8]}
  • id: 709862
    {'degree': 16, 'field': [122287977, 115681986, 46473006, 5521986, 5179876, 4527188, 1896584, -24162, -110219, -16340, 19648, 3862, 436, -246, 2, -4, 1], 'lmfdb_label': '13794.p3', 'torsion': [2, 12]}
  • id: 709863
    {'degree': 18, 'field': [3460131, -4620483, 6575121, -4555920, 3452922, -1288818, 532790, 18624, -29199, 31183, 8451, -8856, 7386, -2250, 738, -124, 39, -3, 1], 'lmfdb_label': '13794.p3', '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: 301746
    {'conductor': 13794, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '13794.p3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 301747
    {'conductor': 13794, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '13794.p3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 301748
    {'conductor': 13794, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13794.p3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 301749
    {'conductor': 13794, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13794.p3', 'prime': 19, '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: 1755674
    {'adelic_gens': [[2509, 924, 462, 529], [911, 0, 0, 5015], [1695, 2530, 4334, 4709], [1, 0, 12, 1], [1, 6, 6, 37], [11, 2, 4966, 5007], [1, 12, 0, 1], [386, 11, 3333, 892], [1882, 2739, 1485, 1816], [5005, 12, 5004, 13]], 'adelic_image': '5016.96.1.?', 'conductor': 13794, 'lmfdb_label': '13794.p3', 'prime': 0}
  • id: 65380
    {'conductor': 13794, 'elladic_image': '8.6.0.4', 'lmfdb_label': '13794.p3', 'modell_image': '2B', 'prime': 2}
  • id: 65381
    {'conductor': 13794, 'elladic_image': '3.4.0.1', 'lmfdb_label': '13794.p3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 611791
    {'lmfdb_iso': '13794.p', 'p': 7, 'prec': 20, 'unit': 9474078858571296, 'val': 1}
  • id: 611795
    {'lmfdb_iso': '13794.p', 'p': 13, 'prec': 20, 'unit': 64947023174192562197, 'val': 2}
  • id: 611797
    {'lmfdb_iso': '13794.p', 'p': 17, 'prec': 20, 'unit': 46595823640694670556640, 'val': 1}
  • id: 611802
    {'lmfdb_iso': '13794.p', 'p': 23, 'prec': 20, 'unit': 34800801433503359665596504, 'val': 1}
  • id: 611794
    {'lmfdb_iso': '13794.p', 'p': 29, 'prec': 20, 'unit': 3855584813971140754185146257, 'val': 1}
  • id: 611806
    {'lmfdb_iso': '13794.p', 'p': 31, 'prec': 20, 'unit': 12138590753860656858553420118, 'val': 1}
  • id: 611790
    {'lmfdb_iso': '13794.p', 'p': 37, 'prec': 20, 'unit': 366002334875203602064926962097, 'val': 1}
  • id: 611792
    {'lmfdb_iso': '13794.p', 'p': 41, 'prec': 20, 'unit': 927867761495042526522980003598, 'val': 1}
  • id: 611793
    {'lmfdb_iso': '13794.p', 'p': 43, 'prec': 20, 'unit': 7131590239217088854907856498008, 'val': 1}
  • id: 611804
    {'lmfdb_iso': '13794.p', 'p': 47, 'prec': 20, 'unit': 31405585045457019376479854125797, 'val': 1}
  • id: 611799
    {'lmfdb_iso': '13794.p', 'p': 53, 'prec': 20, 'unit': 104560028809307095822801284680421, 'val': 1}
  • id: 611800
    {'lmfdb_iso': '13794.p', 'p': 59, 'prec': 20, 'unit': 1429041477128205763237169878589933, 'val': 1}
  • id: 611805
    {'lmfdb_iso': '13794.p', 'p': 61, 'prec': 20, 'unit': 6454531539873781234190363358810144, 'val': 1}
  • id: 611789
    {'lmfdb_iso': '13794.p', 'p': 67, 'prec': 20, 'unit': 9182830600884711308347075084059319, 'val': 1}
  • id: 611801
    {'lmfdb_iso': '13794.p', 'p': 73, 'prec': 20, 'unit': 179334245611749035454545037125803756, 'val': 1}
  • id: 611796
    {'lmfdb_iso': '13794.p', 'p': 79, 'prec': 20, 'unit': 1014817731792126429516215913707984988, 'val': 1}
  • id: 611798
    {'lmfdb_iso': '13794.p', 'p': 83, 'prec': 20, 'unit': 1748293289071870966004510042415345969, 'val': 1}
  • id: 611803
    {'lmfdb_iso': '13794.p', 'p': 89, 'prec': 20, 'unit': 5966213802664972236473810867666217670, 'val': 1}
  • id: 611788
    {'lmfdb_iso': '13794.p', 'p': 97, 'prec': 20, 'unit': 8655120601532849910165274946101567848, 'val': 1}