Elliptic curve data - 249690.cj6

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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': '249690cj2', 'Cnumber': 2, 'abc_quality': 0.9972836689888865, 'absD': 4496908623986020832100000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1997520, 'ainvs': [1, 0, 0, -673039570, -5895575919100], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 29, 41], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 249690, 'degree': 190840832, 'elladic_images': ['8.96.0.40'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0337723264808702804863965606', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 61, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [33716734605576776462761920782881, 4496908623986020832100000000], 'lmfdb_iso': '249690.cj', 'lmfdb_label': '249690.cj6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -673039570, -5895575919100], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.l.2.2', '164.48.0.?', '328.192.1.?', '1680.192.1.?', '2320.192.2.?', '9744.192.2.?', '48720.384.5.?', '68880.384.5.?', '95120.384.5.?', '399504.384.5.?', '1997520.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 22, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7456146183018982790402558639', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 83230], [5, 6, 49938], [7, 8, 35670], [29, 30, 8610], [41, 42, 6090]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.0337723264808702804863965606', 'prec': 100}, 'szpiro_ratio': 5.8413011438419815, 'torsion': 16, 'torsion_primes': [2], 'torsion_structure': [2, 8]}
• 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': '0.00031355221618346608653815125146', 'prec': 113}, 'conductor': 249690, 'gens': [[29720, 579230, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7456146183018982790402558639', 'prec': 100}], 'lmfdb_label': '249690.cj6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.029902133792095422678190804484', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '18.163712414999963320828938200090379627', 'prec': 130}, 'tamagawa_product': 32768, 'torsion_generators': [[-10460, 5230, 1], [37100, 4475870, 1]], 'xcoord_integral_points': [-17710, -14560, -11620, -10460, 29540, 29720, 37100, 73640, 212492, 286790, 408590, 10834040]}
• lmfdb_label 249690.cj6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10749783
    {'degree': 4, 'field': [100, 0, 21, 0, 1], 'lmfdb_label': '249690.cj6', 'torsion': [4, 8]}
  • id: 10749784
    {'degree': 4, 'field': [400, 0, 250, 0, 1], 'lmfdb_label': '249690.cj6', 'torsion': [2, 16]}
  • id: 10749785
    {'degree': 4, 'field': [8526400, 0, -6050, 0, 1], 'lmfdb_label': '249690.cj6', 'torsion': [2, 16]}
  • id: 10749786
    {'degree': 8, 'field': [176610, -706440, 706440, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '249690.cj6', 'torsion': [2, 24]}
  • id: 10749789
    {'degree': 16, 'field': [11577760000, 27765104000, 33292320800, 22604275680, 9686827024, 2584383712, 409005648, 15740336, -9691512, -2057464, -96846, 17758, 3337, 42, 8, -4, 1], 'lmfdb_label': '249690.cj6', 'torsion': [4, 16]}
  • id: 10749788
    {'degree': 16, 'field': [2454235560000, 164493000000, 970469010000, -17104500000, 147561530050, -5650607500, 9137064350, -303105000, 185716281, -7508000, -460606, -11000, 33896, -500, 84, 0, 1], 'lmfdb_label': '249690.cj6', 'torsion': [4, 16]}
  • id: 10749787
    {'degree': 16, 'field': [30266282190400, 0, 1529931905728, 0, 54314367892, 0, 839174532, 0, 20268345, 0, 126360, 0, 7654, 0, -44, 0, 1], 'lmfdb_label': '249690.cj6', 'torsion': [8, 8]}
  • id: 10749790
    {'degree': 16, 'field': [3013793117917692095280600, 202746242259175683031200, 18136536409551443386680, 1205173227501051870600, 55765169072521860441, 3284064588904691676, 114937305777675150, 3955326273986940, 128846336868391, 2258975071160, 87774498364, 646990400, 36064231, 53900, 7870, -4, 1], 'lmfdb_label': '249690.cj6', 'torsion': [2, 32]}
  • id: 10749791
    {'degree': 16, 'field': [1067640304232185320260837160000, 0, 9516611303914577398803360000, 0, 3210600159136219529631000, 0, -411726733554683988000, 0, -122900152978040900, 0, 13289746920800, 0, 200726610, 0, -47560, 0, 1], 'lmfdb_label': '249690.cj6', 'torsion': [2, 32]}
• 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: 6191828
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '249690.cj6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 6191829
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '249690.cj6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 6191830
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '249690.cj6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 6191831
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '249690.cj6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 6191832
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '249690.cj6', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6191833
    {'conductor': 249690, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '249690.cj6', 'prime': 41, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 3249218
    {'adelic_gens': [[1, 16, 0, 1], [1598017, 8, 0, 1], [682089, 16, 1607954, 345], [15, 16, 224, 1248689], [1, 0, 16, 1], [1997505, 16, 1997504, 17], [9, 8, 1331636, 1997481], [5, 8, 68, 499489], [1722009, 16, 137828, 121], [1, 16, 4, 65], [1426809, 8, 570676, 1997481]], 'adelic_image': '1997520.768.13.?', 'conductor': 249690, 'lmfdb_label': '249690.cj6', 'prime': 0}
  • id: 901430
    {'conductor': 249690, 'elladic_image': '8.96.0.40', 'lmfdb_label': '249690.cj6', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 249690.cj does not appear in ec_padic