Elliptic curve data - 249690.cj3

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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': '249690cj', 'Clabel': '249690cj7', 'Cnumber': 7, 'abc_quality': 1.0279855282784691, 'absD': 11260482449836875928123468727010, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3995040, 'ainvs': [1, 0, 0, -166351667020, -26115441927282190], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 29, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 249690, 'degree': 1526726656, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0734930973207882446122447428', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-509102446533164296117678747246704511681, 11260482449836875928123468727010], 'lmfdb_iso': '249690.cj', 'lmfdb_label': '249690.cj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -166351667020, -26115441927282190], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '16.96.0-16.v.2.5', '840.96.0.?', '1312.192.1.?', '1680.192.1.?', '2320.192.2.?', '9744.192.2.?', '48720.384.5.?', '137760.384.5.?', '190240.384.5.?', '799008.384.5.?', '3995040.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '37.964916946415186232322046911', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 105], [3, 4, 83230], [5, 6, 49938], [7, 8, 35670], [29, 30, 8610], [41, 42, 6090]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '5.0734930973207882446122447428', 'prec': 100}, 'szpiro_ratio': 7.171381320679944, '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, 1, 1, 1, 1, 1, 1, -4, 1, -2, 1, 1, 1, 2, 1, 4, 1], 'aplist': [1, 1, 1, 1, -4, -2, 2, 4, 8, 1, 0, 6, 1, -4, 0, 6, -4, -2, -12, -8, 10, -16, -12, -6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 249690, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8, 16, 16], [2, 1, 2, 2, 4, 4, 8, 8], [4, 2, 1, 4, 8, 8, 16, 16], [4, 2, 4, 1, 2, 2, 4, 4], [8, 4, 8, 2, 1, 4, 8, 8], [8, 4, 8, 2, 4, 1, 2, 2], [16, 8, 16, 4, 8, 2, 1, 4], [16, 8, 16, 4, 8, 2, 4, 1]], 'lmfdb_iso': '249690.cj', 'trace_hash': 2097685752872184617}
• 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': '0.000039194027022933260817268906433', 'prec': 117}, 'conductor': 249690, 'gens': [[21159241500026107, 1360386260813502589542973, 201894]], 'heights': [{'__RealLiteral__': 0, 'data': '37.964916946415186232322046911', 'prec': 100}], 'lmfdb_label': '249690.cj3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0037377667240119278347738505604', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '18.163712414999963320828938200090379627', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1883839, -1883839, 2]], 'xcoord_integral_points': []}
• lmfdb_label 249690.cj3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10749865
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [4]}
  • id: 10749866
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [4]}
  • id: 10749864
    {'degree': 2, 'field': [210, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 2]}
  • id: 10749869
    {'degree': 4, 'field': [-176610, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [8]}
  • id: 10749871
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [8]}
  • id: 10749870
    {'degree': 4, 'field': [676, 0, 53, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [8]}
  • id: 10749868
    {'degree': 4, 'field': [11025, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 4]}
  • id: 10749867
    {'degree': 4, 'field': [176610, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 4]}
  • id: 10749876
    {'degree': 8, 'field': [-77885010000000, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [16]}
  • id: 10749880
    {'degree': 8, 'field': [176610, -706440, 706440, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '249690.cj3', 'torsion': [6]}
  • id: 10749873
    {'degree': 8, 'field': [176610, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 8]}
  • id: 10749875
    {'degree': 8, 'field': [456976, 0, 0, 0, 1457, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 8]}
  • id: 10749877
    {'degree': 8, 'field': [27562500, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [16]}
  • id: 10749878
    {'degree': 8, 'field': [442050625, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [16]}
  • id: 10749874
    {'degree': 8, 'field': [31190738881, 0, 2119324, 0, -353214, 0, 4, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 8]}
  • id: 10749872
    {'degree': 8, 'field': [31191445321, 0, -2119316, 0, 353226, 0, 4, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [4, 4]}
  • id: 10749879
    {'degree': 8, 'field': [137552716161, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [16]}
  • id: 10749888
    {'degree': 16, 'field': [31191092100, 0, 249528736800, 0, 499057473600, 0, 1766101, 0, 4591862, 0, -1412879, 0, 1, 0, 2, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [12]}
  • id: 10749881
    {'degree': 16, 'field': [31191445321, 0, -9890152, 0, 24725428, 0, -9890104, 0, 353290, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [4, 8]}
  • id: 10749885
    {'degree': 16, 'field': [2981126840836, -18136143376, -27031849680, 17998141840, 14064864, 27226224, 7148392, -13855520, 3359616, 114584, -57008, 10008, 264, -112, 36, -8, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 16]}
  • id: 10749884
    {'degree': 16, 'field': [195943357564365826, 5863500784559800, -423990138012988, -74706868813400, 42858672820358, 43679521600, -641164307356, 2527709600, 917520195, 30780600, 1025444, -168200, 19558, 0, 212, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 16]}
  • id: 10749886
    {'degree': 16, 'field': [3272366941172261100, -181315224206890200, 183916933735329900, -5225550509668020, 2668236818099790, -66926605426380, 22931651209741, -536951441048, 138168708120, -2634208150, 540508613, -7485372, 1273133, -11830, 1710, -8, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 6]}
  • id: 10749887
    {'degree': 16, 'field': [4354253993095883100, 107471137719972600, -105270103130188500, -4378465378249620, 2130362534906130, 70254522998100, -22770282387299, -552250166168, 134214009540, 2552165210, -496934227, -7332492, 1196693, 11690, -1650, -8, 1], 'lmfdb_label': '249690.cj3', 'torsion': [12]}
  • id: 10749882
    {'degree': 16, 'field': [60805264149417650625, 0, 0, 0, 0, 0, 0, 0, 265124282850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [4, 8]}
  • id: 10749883
    {'degree': 16, 'field': [23695604619912529998750001, 0, 272597535000008, 0, -681493837499972, 0, 272597535000056, 0, -9735626249930, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '249690.cj3', 'torsion': [2, 16]}
• 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: 6191858
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '249690.cj3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6191859
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '249690.cj3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6191860
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '249690.cj3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6191861
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '249690.cj3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6191862
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '249690.cj3', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6191863
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '249690.cj3', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3249215
    {'adelic_gens': [[1851361, 32, 1656496, 513], [1, 0, 32, 1], [1, 32, 0, 1], [1515383, 26, 276294, 875], [499394, 31, 498269, 3992580], [5, 28, 68, 381], [23, 18, 3992478, 3993035], [2663392, 29, 1334507, 2562], [30, 31, 2396873, 3994884], [2746620, 31, 3745199, 3994884], [3995009, 32, 3995008, 33], [2853632, 29, 2285707, 2562]], 'adelic_image': '3995040.768.13.?', 'conductor': 249690, 'lmfdb_label': '249690.cj3', 'prime': 0}
  • id: 901427
    {'conductor': 249690, 'elladic_image': '16.96.0.149', 'lmfdb_label': '249690.cj3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 249690.cj does not appear in ec_padic