Elliptic curve data - 5040.i3

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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': '5040bg', 'Clabel': '5040bg6', 'Cnumber': 6, 'abc_quality': 1.0081875418390414, 'absD': 107138505600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -141123, -25775678], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 5040, 'degree': 49152, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9792107543681321085762817880', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-104094944089921, 35880468750], 'lmfdb_iso': '5040.i', 'lmfdb_label': '5040.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -980, -15325], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.2', '24.48.0-8.bb.1.2', '56.48.0.bn.1', '80.48.0.?', '168.96.0.?', '240.96.0.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3984800606114581874976391740', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704808', 'prec': 103}, 'szpiro_ratio': 5.5896923593024885, '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, 0, 0, 0, -1, 0, -1, 0, 0, 0, 4, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -1, 4, -2, -2, 4, -8, -6, 8, -2, -2, 12, -8, -6, 4, -2, -12, 8, -14, 0, 12, -2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 5040, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '5040.i', 'trace_hash': 1151200311702627099}
• 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': '0.019093229012639660706289317228', 'prec': 107}, 'conductor': 5040, 'gens': [[79639, 22453750, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '7.3984800606114581874976391740', 'prec': 100}], 'lmfdb_label': '5040.i3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12105465005308159542607821140', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5824816586480879288897804528594597815', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[446, 0, 1]], 'xcoord_integral_points': [446]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5040.i3'}
• ec_torsion_growth •

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

  
  
  • id: 263990
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [4]}
  • id: 263991
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '5040.i3', 'torsion': [8]}
  • id: 263989
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [2, 2]}
  • id: 263992
    {'degree': 4, 'field': [196, 0, -14, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [2, 8]}
  • id: 263996
    {'degree': 8, 'field': [-300, 0, -87, 0, 27, 0, 11, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [6]}
  • id: 263994
    {'degree': 8, 'field': [196, 0, 0, 0, -196, 0, 0, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [8]}
  • id: 263993
    {'degree': 8, 'field': [529, 0, 396, 0, 82, 0, -12, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [2, 4]}
  • id: 263995
    {'degree': 8, 'field': [3136, 0, 224, 0, 72, 0, -4, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [16]}
  • id: 263997
    {'degree': 16, 'field': [50625, 0, 36900, 0, 19246, 0, 7376, 0, 1587, 0, -464, 0, -18, 0, -4, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [4, 8]}
  • id: 264002
    {'degree': 16, 'field': [90000, 0, -26100, 0, 15669, 0, -4251, 0, 1986, 0, -471, 0, 94, 0, -11, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [24]}
  • id: 263999
    {'degree': 16, 'field': [98361, -364176, 584280, -544140, 283410, -26052, -39860, -5272, 17385, -1748, -2536, 144, 272, 28, -12, -4, 1], 'lmfdb_label': '5040.i3', 'torsion': [2, 16]}
  • id: 264001
    {'degree': 16, 'field': [54140164, 0, -39460364, 0, -1072883, 0, 3583930, 0, -500717, 0, 8428, 0, 847, 0, 22, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [12]}
  • id: 264000
    {'degree': 16, 'field': [208571364, 0, 250330508, 0, 126541093, 0, 29466150, 0, 3221603, 0, 201544, 0, 7203, 0, 134, 0, 1], 'lmfdb_label': '5040.i3', 'torsion': [2, 6]}
  • id: 263998
    {'degree': 16, 'field': [1349707759, -549865564, 901858398, -277227696, 247794945, -58175064, 37494958, -6667684, 3436422, -453948, 194982, -18456, 6677, -416, 126, -4, 1], 'lmfdb_label': '5040.i3', '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: 97942
    {'conductor': 5040, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '5040.i3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 97943
    {'conductor': 5040, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '5040.i3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 97944
    {'conductor': 5040, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '5040.i3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 97945
    {'conductor': 5040, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5040.i3', 'prime': 7, '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: 1696899
    {'adelic_gens': [[559, 1664, 1112, 1551], [436, 421, 999, 850], [1, 16, 0, 1], [617, 1664, 1626, 935], [337, 16, 1016, 129], [248, 1, 559, 10], [1, 0, 16, 1], [15, 2, 1582, 1667], [5, 4, 1676, 1677], [1665, 16, 1664, 17]], 'adelic_image': '1680.192.1.?', 'conductor': 5040, 'lmfdb_label': '5040.i3', 'prime': 0}
  • id: 25037
    {'conductor': 5040, 'elladic_image': '8.24.0.88', 'lmfdb_label': '5040.i3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 185591
    {'lmfdb_iso': '5040.i', 'p': 11, 'prec': 20, 'unit': 42956348898802268338, 'val': 1}
  • id: 185597
    {'lmfdb_iso': '5040.i', 'p': 13, 'prec': 20, 'unit': 19728576443803325434, 'val': 2}
  • id: 185599
    {'lmfdb_iso': '5040.i', 'p': 17, 'prec': 20, 'unit': 91193500972750239552969, 'val': 1}
  • id: 185600
    {'lmfdb_iso': '5040.i', 'p': 19, 'prec': 20, 'unit': 297702546338125615447408, 'val': 1}
  • id: 185603
    {'lmfdb_iso': '5040.i', 'p': 23, 'prec': 20, 'unit': 59088400331603724375723036, 'val': 1}
  • id: 185596
    {'lmfdb_iso': '5040.i', 'p': 29, 'prec': 20, 'unit': 1529178610819448986996370093, 'val': 1}
  • id: 185608
    {'lmfdb_iso': '5040.i', 'p': 31, 'prec': 20, 'unit': 7539038734648326474170574879, 'val': 1}
  • id: 185592
    {'lmfdb_iso': '5040.i', 'p': 37, 'prec': 20, 'unit': 211980234137009370338247827609, 'val': 1}
  • id: 185594
    {'lmfdb_iso': '5040.i', 'p': 41, 'prec': 20, 'unit': 968284243209467810580310921227, 'val': 1}
  • id: 185595
    {'lmfdb_iso': '5040.i', 'p': 43, 'prec': 20, 'unit': 186697058565791124811128149140, 'val': 1}
  • id: 185598
    {'lmfdb_iso': '5040.i', 'p': 47, 'prec': 20, 'unit': 42848825363693051221488181661011, 'val': 1}
  • id: 185601
    {'lmfdb_iso': '5040.i', 'p': 53, 'prec': 20, 'unit': 305493508237446074658235432950012, 'val': 1}
  • id: 185605
    {'lmfdb_iso': '5040.i', 'p': 59, 'prec': 20, 'unit': 4319009007271905451924168981366790, 'val': 1}
  • id: 185606
    {'lmfdb_iso': '5040.i', 'p': 61, 'prec': 20, 'unit': 1091172484325372019446354224451646, 'val': 1}
  • id: 185590
    {'lmfdb_iso': '5040.i', 'p': 67, 'prec': 20, 'unit': 726058264620040439121269616705652, 'val': 1}
  • id: 185593
    {'lmfdb_iso': '5040.i', 'p': 71, 'prec': 20, 'unit': 99317081127482901204803357017788422, 'val': 1}
  • id: 185602
    {'lmfdb_iso': '5040.i', 'p': 73, 'prec': 20, 'unit': 87236701430099058974231147491417105, 'val': 1}
  • id: 185607
    {'lmfdb_iso': '5040.i', 'p': 83, 'prec': 20, 'unit': 1081417971693863647339500573443710632, 'val': 1}
  • id: 185604
    {'lmfdb_iso': '5040.i', 'p': 89, 'prec': 20, 'unit': 3607875671489684960988513170498921602, 'val': 1}
  • id: 185589
    {'lmfdb_iso': '5040.i', 'p': 97, 'prec': 20, 'unit': 23534412567699724145740277382838880020, 'val': 1}