Elliptic curve data - 242550.be2

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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': '242550be', 'Clabel': '242550be4', 'Cnumber': 4, 'abc_quality': 0.9706759337975488, 'absD': 7195841846392201911562500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -104114817, -387971427159], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 242550, 'degree': 47185920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5236067955454746739352399039', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [93137706732176569, 5369647977540], 'lmfdb_iso': '242550.be', 'lmfdb_label': '242550.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -9444, -335954], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '84.12.0.?', '88.12.0.?', '120.12.0.?', '280.12.0.?', '660.12.0.?', '770.6.0.?', '840.24.0.?', '1320.24.0.?', '1540.12.0.?', '1848.24.0.?', '3080.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7559773332650473761000548550', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1966266204667129883845612471', 'prec': 100}, 'szpiro_ratio': 5.403404847729501, '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, 0, -1, 0, 0, -1, 0, -2, 0, 0, 1, 2, 0, -4, 0], 'aplist': [-1, 0, 0, 0, -1, -2, 2, -4, -4, 6, 4, 2, 10, -4, 8, -6, -4, 2, 12, 8, 2, 4, 0, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 242550, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '242550.be', 'trace_hash': 1465525235530477171}
• 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': '0.00086982928379711428112126569823', 'prec': 113}, 'conductor': 242550, 'gens': [[-4877, 63909, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.7559773332650473761000548550', 'prec': 100}], 'lmfdb_label': '242550.be2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.047433127441255509419721008351', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1273141414239125867124383553027933956', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-27789, 27789, 2]], 'xcoord_integral_points': [-4877]}
• lmfdb_label 242550.be2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10460360
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '242550.be2', 'torsion': [2, 2]}
  • id: 10460362
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '242550.be2', 'torsion': [4]}
  • id: 10460361
    {'degree': 2, 'field': [165, 0, 1], 'lmfdb_label': '242550.be2', 'torsion': [4]}
  • id: 10460363
    {'degree': 4, 'field': [1296, 0, 93, 0, 1], 'lmfdb_label': '242550.be2', 'torsion': [2, 4]}
  • id: 10460367
    {'degree': 8, 'field': [-852974, -599401, 99019, 104201, 17425, -739, -251, -1, 1], 'lmfdb_label': '242550.be2', 'torsion': [6]}
  • id: 10460366
    {'degree': 8, 'field': [5236, -5852, 4138, -2014, 815, -154, 13, -2, 1], 'lmfdb_label': '242550.be2', 'torsion': [8]}
  • id: 10460365
    {'degree': 8, 'field': [842682841, 0, 8537760, 0, -1078, 0, 0, 0, 1], 'lmfdb_label': '242550.be2', 'torsion': [8]}
  • id: 10460364
    {'degree': 8, 'field': [1479517125, 2464500, -2541350, 153720, -76909, 56, -14, -4, 1], 'lmfdb_label': '242550.be2', 'torsion': [2, 4]}
  • id: 10460370
    {'degree': 16, 'field': [5894260, 15493160, 13742280, 158400, 3949401, 1037106, 927890, -235550, 322326, -69440, 40514, -6930, 2766, -270, 90, -4, 1], 'lmfdb_label': '242550.be2', 'torsion': [2, 8]}
  • id: 10460373
    {'degree': 16, 'field': [34573683600, 0, 365288410800, 0, 2837649600, 0, -1123080120, 0, 17056260, 0, -115320, 0, 6021, 0, 42, 0, 1], 'lmfdb_label': '242550.be2', 'torsion': [12]}
  • id: 10460372
    {'degree': 16, 'field': [15013005614244, 0, 2168304211557, 0, 69901614090, 0, 3509728299, 0, 150363675, 0, 3816351, 0, 49203, 0, 330, 0, 1], 'lmfdb_label': '242550.be2', 'torsion': [12]}
  • id: 10460371
    {'degree': 16, 'field': [66909955820544, 27432940735296, -4667701998264, -3212252609028, -157342883244, 104646734772, 15234046764, -669387270, -308376980, -16606985, 1755826, 260269, 14149, -887, -221, -2, 1], 'lmfdb_label': '242550.be2', 'torsion': [2, 6]}
  • id: 10460369
    {'degree': 16, 'field': [1915308081764856, 97456597535664, -95362602385536, -4156176714816, 1998883079914, 94128291516, -29852841662, -1292099708, 306268761, 10892580, -1899842, -152628, 25984, -280, 60, -8, 1], 'lmfdb_label': '242550.be2', 'torsion': [2, 8]}
  • id: 10460368
    {'degree': 16, 'field': [8709485631390625, 0, -118124768575000, 0, 3965342974250, 0, -20511159900, 0, 542365691, 0, -414876, 0, 39326, 0, 44, 0, 1], 'lmfdb_label': '242550.be2', 'torsion': [4, 4]}
• 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: 6009418
    {'conductor': 242550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '242550.be2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6009419
    {'conductor': 242550, 'conductor_valuation': 2, 'discriminant_valuation': 26, 'j_denominator_valuation': 20, 'kodaira_symbol': -24, 'lmfdb_label': '242550.be2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6009420
    {'conductor': 242550, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '242550.be2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6009421
    {'conductor': 242550, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '242550.be2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6009422
    {'conductor': 242550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '242550.be2', 'prime': 11, '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: 3205078
    {'adelic_gens': [[9233, 8, 9232, 9], [1, 0, 8, 1], [844, 1, 2543, 6], [1, 8, 0, 1], [5779, 5778, 8098, 3475], [1, 4, 4, 17], [5779, 5776, 1178, 5781], [6596, 9239, 7897, 9234], [7, 6, 9234, 9235], [3079, 9232, 3076, 9207], [7384, 9237, 9235, 9238]], 'adelic_image': '9240.48.0.?', 'conductor': 242550, 'lmfdb_label': '242550.be2', 'prime': 0}
  • id: 877772
    {'conductor': 242550, 'elladic_image': '4.6.0.1', 'lmfdb_label': '242550.be2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 242550.be does not appear in ec_padic