Elliptic curve data - 185130.be1

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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': '185130eq', 'Clabel': '185130eq8', 'Cnumber': 8, 'abc_quality': 1.0433108113473337, 'absD': 713448064436549967360, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, -1, 0, -219146529465, -39486569687722899], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 185130, 'degree': 637009920, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7090412296453021965430133824', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [901247067798311192691198986281, 552431869440], 'lmfdb_iso': '185130.be', 'lmfdb_label': '185130.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -201236483, -1098790303234], 'min_quad_twist_disc': 33, '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', '24.96.0-24.bu.3.32', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '88.12.0.?', '132.48.0.?', '264.192.1.?', '680.12.0.?', '1020.48.0.?', '2040.192.1.?', '7480.24.0.?', '11220.96.0.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '103.72848691502088747414358899', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9607874489120620788144189750', 'prec': 100}, 'szpiro_ratio': 7.416440352544529, '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, -1, 0, 4, -1, 0, 1, 0, 0, -2, -4, 0, 1, -1, 0, 4, -1], 'aplist': [-1, 0, -1, 4, 0, -2, -1, 4, 0, -6, 8, -10, 6, 4, -12, -6, -12, -2, 8, 12, -2, -8, -12, 6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 185130, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '185130.be', 'trace_hash': 576157541919008279}
• 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': '0.000081241654222592655614308711261', 'prec': 117}, 'conductor': 185130, 'gens': [[92888655950791823761630760071618170908365704505, 12045502496039141754992365943799042622618782895479661639650641229180451, 396416799835373614304]], 'heights': [{'__RealLiteral__': 0, 'data': '103.72848691502088747414358899', 'prec': 100}], 'lmfdb_label': '185130.be1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0069777580324466656955578836226', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7903382621186068462203060406588121526', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1081101, 1081101, 2]], 'xcoord_integral_points': []}
• lmfdb_label 185130.be1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8168543
    {'degree': 2, 'field': [-510, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 2]}
  • id: 8168546
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '185130.be1', 'torsion': [6]}
  • id: 8168545
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [4]}
  • id: 8168544
    {'degree': 2, 'field': [2805, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [4]}
  • id: 8168550
    {'degree': 4, 'field': [23, -2, 3, -2, 1], 'lmfdb_label': '185130.be1', 'torsion': [12]}
  • id: 8168547
    {'degree': 4, 'field': [17689, 0, -244, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 4]}
  • id: 8168549
    {'degree': 4, 'field': [66309, 504, -503, -2, 1], 'lmfdb_label': '185130.be1', 'torsion': [12]}
  • id: 8168548
    {'degree': 4, 'field': [262659, 1014, -1013, -2, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 6]}
  • id: 8168551
    {'degree': 6, 'field': [-20625, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [6]}
  • id: 8168554
    {'degree': 8, 'field': [260100, 0, -110160, 0, 46146, 0, -216, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [8]}
  • id: 8168553
    {'degree': 8, 'field': [4161600, 0, 693600, 0, 35785, 0, 340, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [8]}
  • id: 8168552
    {'degree': 8, 'field': [150454756, 0, -3408592, 0, -22596, 0, -88, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 4]}
  • id: 8168555
    {'degree': 8, 'field': [281504089, 8377780, -8281724, -191612, 94557, 1496, -494, -4, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 12]}
  • id: 8168556
    {'degree': 12, 'field': [425349376, 123744, 309396, -825050, 309465, 123624, -41109, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '185130.be1', 'torsion': [3, 6]}
  • id: 8168559
    {'degree': 12, 'field': [434347281, 0, -22228344, 0, 3731940, 0, -36930, 0, 540, 0, 36, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [12]}
  • id: 8168558
    {'degree': 12, 'field': [658482331774, -1755660462, 1957572507, -405435140, 206746155, -4836942, 1616571, -3366, 495, 220, -33, -6, 1], 'lmfdb_label': '185130.be1', 'torsion': [12]}
  • id: 8168557
    {'degree': 12, 'field': [17590816372640625, 0, -207176087475000, 0, 1014464587500, 0, -2653061250, 0, 3901500, 0, -3060, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 6]}
  • id: 8168564
    {'degree': 16, 'field': [170205753600, 0, -19309471200, 0, 2695456305, 0, -126455580, 0, 5392276, 0, -108218, 0, 4404, 0, -32, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [24]}
  • id: 8168562
    {'degree': 16, 'field': [1478938125456, 0, -37066417344, 0, -1513467720, 0, -10704336, 0, -1275071, 0, -13896, 0, 2495, 0, 96, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 8]}
  • id: 8168561
    {'degree': 16, 'field': [6439662447201, 0, 832886853588, 0, 74865637692, 0, 4066978248, 0, 153297423, 0, -190296, 0, -11652, 0, 36, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 8]}
  • id: 8168565
    {'degree': 16, 'field': [277102632960000, 0, -17930170368000, 0, 734605632000, 0, -18748350720, 0, 352614276, 0, -4595184, 0, 44130, 0, -264, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [24]}
  • id: 8168563
    {'degree': 16, 'field': [26117097968415081, -232738750411080, 224583076236588, 16341356225904, -8244737079098, 86180313784, -24241508584, -3846725928, 964094215, -1054888, -342032, 300872, -49478, -336, 68, -8, 1], 'lmfdb_label': '185130.be1', 'torsion': [2, 12]}
  • id: 8168560
    {'degree': 16, 'field': [27444110623094881, 0, 0, 0, -5874740084756, 0, 0, 0, 1166763846, 0, 0, 0, -50516, 0, 0, 0, 1], 'lmfdb_label': '185130.be1', 'torsion': [4, 4]}
  • id: 8168566
    {'degree': 18, 'field': [574063589084352, 89963628817392, 69096119333292, 66427239730002, 20517268377537, 902074765725, -750484362937, -142323073206, 3032758014, 3418318706, 253178376, -34595580, -5464272, 77118, 54654, 1348, -321, -9, 1], 'lmfdb_label': '185130.be1', '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: 4580401
    {'conductor': 185130, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '185130.be1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4580402
    {'conductor': 185130, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '185130.be1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4580403
    {'conductor': 185130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '185130.be1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4580404
    {'conductor': 185130, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '185130.be1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4580405
    {'conductor': 185130, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '185130.be1', 'prime': 17, '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: 2853451
    {'adelic_gens': [[7936, 21, 12915, 22066], [1, 12, 12, 145], [4079, 22416, 4068, 22151], [5614, 3, 5655, 34], [8992, 21, 22155, 22066], [7464, 3721, 12175, 1134], [15, 106, 21134, 13211], [22417, 24, 22416, 25], [1, 24, 0, 1], [17766, 21529, 12155, 15896], [1, 0, 24, 1]], 'adelic_image': '22440.384.5.?', 'conductor': 185130, 'lmfdb_label': '185130.be1', 'prime': 0}
  • id: 692040
    {'conductor': 185130, 'elladic_image': '4.6.0.1', 'lmfdb_label': '185130.be1', 'modell_image': '2B', 'prime': 2}
  • id: 692041
    {'conductor': 185130, 'elladic_image': '3.4.0.1', 'lmfdb_label': '185130.be1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 185130.be does not appear in ec_padic