Elliptic curve data - 46410.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': '46410be', 'Clabel': '46410be5', 'Cnumber': 5, 'abc_quality': 0.9829984286285406, 'absD': 49479832772574750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 185640, 'ainvs': [1, 0, 1, -5949723, 5585394256], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 1216512, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4514641774165761078919232978', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [23292378980986805290659241, 49479832772574750], 'lmfdb_iso': '46410.be', 'lmfdb_label': '46410.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5949723, 5585394256], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '40.12.0-4.c.1.2', '120.96.0.?', '364.12.0.?', '408.96.0.?', '1092.96.0.?', '2040.192.1.?', '3640.24.0.?', '10920.192.1.?', '37128.192.1.?', '185640.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3483197370535529512124685062', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4514641774165761078919232978', 'prec': 100}, 'szpiro_ratio': 5.435895719154392, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 0, 1, 1, -1, 1, 1, -1, -1, -4, 1], 'aplist': [-1, 1, 1, 1, 0, 1, -1, -4, 0, 6, -4, 2, -6, -4, 0, 6, 12, 2, -4, 0, -10, -4, 0, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 46410, 'isogeny_matrix': [[1, 3, 2, 4, 4, 6, 12, 12], [3, 1, 6, 12, 12, 2, 4, 4], [2, 6, 1, 2, 2, 3, 6, 6], [4, 12, 2, 1, 4, 6, 3, 12], [4, 12, 2, 4, 1, 6, 12, 3], [6, 2, 3, 6, 6, 1, 2, 2], [12, 4, 6, 3, 12, 2, 1, 4], [12, 4, 6, 12, 3, 2, 4, 1]], 'lmfdb_iso': '46410.be', 'trace_hash': 1668834167231206842}
• 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': '0.0074248087304557587212077031042', 'prec': 110}, 'conductor': 46410, 'gens': [[1682, 17523, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3483197370535529512124685062', 'prec': 100}], 'lmfdb_label': '46410.be2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30723439223247178445374734695', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1723138764818284596006598791932886769', 'prec': 130}, 'tamagawa_product': 216, 'torsion_generators': [[2060, 44487, 1]], 'xcoord_integral_points': [1430, 1682, 2060, 3050]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [2, 0], '5': [2, 0], '7': [2, 0], '11': [1, 1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '46410.be2'}
• ec_torsion_growth •

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

  
  
  • id: 2264545
    {'degree': 2, 'field': [-910, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [2, 6]}
  • id: 2264546
    {'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [12]}
  • id: 2264547
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [12]}
  • id: 2264548
    {'degree': 4, 'field': [6561, 0, -202, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [2, 12]}
  • id: 2264549
    {'degree': 6, 'field': [7203, 147, -146, -3, 4, -3, 1], 'lmfdb_label': '46410.be2', 'torsion': [3, 6]}
  • id: 2264551
    {'degree': 8, 'field': [30913600, 0, -2711440, 0, 73764, 0, -688, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [24]}
  • id: 2264552
    {'degree': 8, 'field': [2981160000, 0, 43680000, 0, 83560, 0, -560, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [24]}
  • id: 2264550
    {'degree': 8, 'field': [8281000000, 0, 0, 0, 149240, 0, 0, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [2, 12]}
  • id: 2264553
    {'degree': 9, 'field': [215027973, -263998035, -25198452, 49761312, -4005594, 68778, 7820, -312, -3, 1], 'lmfdb_label': '46410.be2', 'torsion': [18]}
  • id: 2264556
    {'degree': 12, 'field': [50687559, 69640740, 32930040, 3331440, -1403069, -89160, 11816, -18960, 1221, -60, 32, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [3, 12]}
  • id: 2264555
    {'degree': 12, 'field': [552621057093, 36104022612, -35041767621, -2109477426, 1017280426, 44605800, -14296657, -486978, 117678, 2700, -529, -6, 1], 'lmfdb_label': '46410.be2', 'torsion': [3, 12]}
  • id: 2264554
    {'degree': 12, 'field': [567054307369777059, 3740787876805182, -3730509540326247, -20541613724142, 10233171190768, 45128054574, -14984782915, -49597494, 12358452, 27270, -5443, -6, 1], 'lmfdb_label': '46410.be2', 'torsion': [6, 6]}
  • id: 2264558
    {'degree': 16, 'field': [412509468361, 0, -3344657336912, 0, 707211494110, 0, -46381283972, 0, 1383615679, 0, -21178028, 0, 169870, 0, -668, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [2, 24]}
  • id: 2264559
    {'degree': 16, 'field': [160338979352250000, 0, -6161812187400000, 0, 98165232810000, 0, -904445124000, 0, 7787523100, 0, -52313200, 0, 226620, 0, -640, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [2, 24]}
  • id: 2264557
    {'degree': 16, 'field': [267832323319586481, 0, 231699667293648, 0, -38539701514832, 0, -23413266184, 0, 2428429710, 0, 149296, 0, -74592, 0, 8, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [4, 12]}
  • id: 2264560
    {'degree': 18, 'field': [-1697950287284731219567071, 228616989459466293122850, -8128346154469604881407, -1133105452113019336488, 160072316526196822500, -1502538929174378880, -551084123374395300, 12055351041130680, 595632152665710, -992593742700, -157004824122, -36281166840, 404493556, 17359824, -401700, 17512, -615, -6, 1], 'lmfdb_label': '46410.be2', 'torsion': [2, 18]}
  • id: 2264561
    {'degree': 18, 'field': [-1108447726447905600000, 71539263117483840000, 31552037782891488000, -3564592307695500800, -109082347440000000, 58084511433008640, -2224243119473792, -359971517645184, 9728743126080, 802102334656, 12572858880, 1781714016, -19906784, -20156928, 820248, 21880, -1434, -6, 1], 'lmfdb_label': '46410.be2', 'torsion': [36]}
  • id: 2264562
    {'degree': 18, 'field': [-878245079040000000, 0, -141594614784000000, 0, -7018462080000000, 0, -115616707200000, 0, -632707200000, 0, 45382089600, 0, -389601640, 0, 1350840, 0, -2010, 0, 1], 'lmfdb_label': '46410.be2', 'torsion': [36]}
• 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: 1106814
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46410.be2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1106815
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '46410.be2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 1106816
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '46410.be2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1106817
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '46410.be2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1106818
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46410.be2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1106819
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46410.be2', 'prime': 17, '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: 1973249
    {'adelic_gens': [[1, 24, 0, 1], [1, 0, 24, 1], [74272, 21, 185355, 185266], [99976, 3, 113781, 185554], [139246, 21, 138945, 185266], [15, 106, 184334, 176411], [1, 12, 12, 145], [65521, 24, 43692, 289], [92821, 24, 61892, 31229], [26536, 3, 132141, 185554], [185617, 24, 185616, 25], [38682, 7759, 178397, 148652]], 'adelic_image': '185640.384.5.?', 'conductor': 46410, 'lmfdb_label': '46410.be2', 'prime': 0}
  • id: 200773
    {'conductor': 46410, 'elladic_image': '4.6.0.1', 'lmfdb_label': '46410.be2', 'modell_image': '2B', 'prime': 2}
  • id: 200774
    {'conductor': 46410, 'elladic_image': '3.8.0.1', 'lmfdb_label': '46410.be2', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2325643
    {'lmfdb_iso': '46410.be', 'p': 19, 'prec': 20, 'unit': 1574757892935482872014072, 'val': 1}
  • id: 2325641
    {'lmfdb_iso': '46410.be', 'p': 29, 'prec': 20, 'unit': 86702288208703424032557913, 'val': 2}
  • id: 2325649
    {'lmfdb_iso': '46410.be', 'p': 31, 'prec': 20, 'unit': 17822938451887600575615290678, 'val': 1}
  • id: 2325638
    {'lmfdb_iso': '46410.be', 'p': 37, 'prec': 20, 'unit': 206106056989372435419694299083, 'val': 1}
  • id: 2325639
    {'lmfdb_iso': '46410.be', 'p': 41, 'prec': 20, 'unit': 2569657703277413248642025568254, 'val': 1}
  • id: 2325640
    {'lmfdb_iso': '46410.be', 'p': 43, 'prec': 20, 'unit': 458034914074321694698202973689, 'val': 1}
  • id: 2325644
    {'lmfdb_iso': '46410.be', 'p': 53, 'prec': 20, 'unit': 9641359558758133927380739287911, 'val': 2}
  • id: 2325647
    {'lmfdb_iso': '46410.be', 'p': 59, 'prec': 20, 'unit': 2215364920896091973206073614591532, 'val': 1}
  • id: 2325648
    {'lmfdb_iso': '46410.be', 'p': 61, 'prec': 20, 'unit': 5253282409957698727901258832417450, 'val': 1}
  • id: 2325637
    {'lmfdb_iso': '46410.be', 'p': 67, 'prec': 20, 'unit': 8744757934951949768453053005930752, 'val': 1}
  • id: 2325645
    {'lmfdb_iso': '46410.be', 'p': 73, 'prec': 20, 'unit': 3229195985754198995649808200602930, 'val': 1}
  • id: 2325642
    {'lmfdb_iso': '46410.be', 'p': 79, 'prec': 20, 'unit': 808453914951359866850952392142034560, 'val': 1}
  • id: 2325646
    {'lmfdb_iso': '46410.be', 'p': 89, 'prec': 20, 'unit': 4451451326826699537763125118738240786, 'val': 1}
  • id: 2325636
    {'lmfdb_iso': '46410.be', 'p': 97, 'prec': 20, 'unit': 42554724832661392932045958233672028477, 'val': 1}