Elliptic curve data - 1170.c1

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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': '1170b', 'Clabel': '1170b4', 'Cnumber': 4, 'abc_quality': 0.9830620236547647, 'absD': 3800243261880, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -4524, 71288], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1170, 'degree': 3456, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1138074924108463402983806734', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [520300455507, 193072360], 'lmfdb_iso': '1170.c', 'lmfdb_label': '1170.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4524, 71288], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '120.48.0.?', '156.48.0.?', '520.6.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.89454161782401513579054790802', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 2, 5], [5, 6, 234], [13, 14, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28984827590976407175194674571', 'prec': 103}, 'szpiro_ratio': 5.2181798039682, '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, 1, 0, -4, -1, 0, -1, 0, 0, 1, 4, 0, 1, 6, 0, -4, 1], 'aplist': [-1, 0, 1, -4, 0, 1, 6, -4, -6, 6, -10, -10, 6, -4, -12, -12, 12, -10, 14, 0, -16, 8, -12, -6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 1170, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '1170.c', 'trace_hash': 599460378654782581}
• 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': '0.10778519314389213211247069576', 'prec': 103}, 'conductor': 1170, 'gens': [[59, 55, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.89454161782401513579054790802', 'prec': 103}], 'lmfdb_label': '1170.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71814555761063833667704108427', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9272332668144496497955388988744178883', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[67, -67, 2]], 'xcoord_integral_points': [-71, 59, 1073]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': [2, 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': '1170.c1'}
• ec_torsion_growth •

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

  
  
  • id: 57659
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [2, 2]}
  • id: 57660
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1170.c1', 'torsion': [6]}
  • id: 57661
    {'degree': 3, 'field': [-5, 0, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [6]}
  • id: 57663
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [2, 6]}
  • id: 57662
    {'degree': 4, 'field': [120, 0, 21, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [4]}
  • id: 57665
    {'degree': 6, 'field': [-1080, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [2, 6]}
  • id: 57664
    {'degree': 6, 'field': [36, -18, -9, 3, 6, -3, 1], 'lmfdb_label': '1170.c1', 'torsion': [3, 6]}
  • id: 57668
    {'degree': 8, 'field': [14400, 0, -2520, 0, 321, 0, -21, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [12]}
  • id: 57666
    {'degree': 8, 'field': [105625, 0, 4030, 0, 66, 0, -2, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [2, 4]}
  • id: 57667
    {'degree': 8, 'field': [136900, 0, -41600, 0, 2190, 0, -80, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [2, 4]}
  • id: 57669
    {'degree': 12, 'field': [1681, -246, -579, 1550, -510, -366, 221, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '1170.c1', 'torsion': [6, 6]}
  • id: 57670
    {'degree': 12, 'field': [675000, 0, 0, 0, 0, 0, 405, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [12]}
  • id: 57671
    {'degree': 16, 'field': [258064, 0, -717140, 0, 2776841, 0, -985274, 0, 411247, 0, -14512, 0, 1367, 0, -34, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [8]}
  • id: 57672
    {'degree': 16, 'field': [511225, -2602600, 3962790, -1064960, -1410204, 1013028, 331834, -221360, -7587, 49004, 1846, -4344, 276, 308, -24, -8, 1], 'lmfdb_label': '1170.c1', 'torsion': [2, 12]}
  • id: 57673
    {'degree': 16, 'field': [100000000, 0, 40000000, 0, 18700000, 0, 4960000, 0, 694900, 0, 49600, 0, 1870, 0, 40, 0, 1], 'lmfdb_label': '1170.c1', 'torsion': [2, 12]}
  • id: 57674
    {'degree': 18, 'field': [227683, -1667667, 5596413, -10967202, 13665348, -10937082, 5438928, -1375242, 101313, 221801, -100227, 25278, -222, -1512, 24, 36, 21, -9, 1], 'lmfdb_label': '1170.c1', 'torsion': [18]}
• 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: 17025
    {'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1170.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 17026
    {'conductor': 1170, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '1170.c1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 17027
    {'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1170.c1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 17028
    {'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1170.c1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1671932
    {'adelic_gens': [[10, 3, 1221, 1552], [1288, 1549, 555, 32], [10, 3, 753, 1552], [1081, 12, 246, 73], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 1510, 1551], [1549, 12, 1548, 13], [66, 337, 845, 1106]], 'adelic_image': '1560.96.1.?', 'conductor': 1170, 'lmfdb_label': '1170.c1', 'prime': 0}
  • id: 5567
    {'conductor': 1170, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1170.c1', 'modell_image': '2B', 'prime': 2}
  • id: 5568
    {'conductor': 1170, 'elladic_image': '3.8.0.2', 'lmfdb_label': '1170.c1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 28640
    {'lmfdb_iso': '1170.c', 'p': 7, 'prec': 20, 'unit': 3999127008034143, 'val': 1}
  • id: 28645
    {'lmfdb_iso': '1170.c', 'p': 17, 'prec': 20, 'unit': 144603818784997857696568, 'val': 1}
  • id: 28636
    {'lmfdb_iso': '1170.c', 'p': 19, 'prec': 20, 'unit': 1408235873961191117629952, 'val': 1}
  • id: 28650
    {'lmfdb_iso': '1170.c', 'p': 23, 'prec': 20, 'unit': 28824314503083293219612348, 'val': 1}
  • id: 28643
    {'lmfdb_iso': '1170.c', 'p': 29, 'prec': 20, 'unit': 5955230072284188287255037475, 'val': 1}
  • id: 28654
    {'lmfdb_iso': '1170.c', 'p': 31, 'prec': 20, 'unit': 13863847804829320780124225242, 'val': 1}
  • id: 28639
    {'lmfdb_iso': '1170.c', 'p': 37, 'prec': 20, 'unit': 534809062138602095056472716671, 'val': 1}
  • id: 28641
    {'lmfdb_iso': '1170.c', 'p': 41, 'prec': 20, 'unit': 3888536555136838892418709320180, 'val': 1}
  • id: 28642
    {'lmfdb_iso': '1170.c', 'p': 43, 'prec': 20, 'unit': 4275964483893888721385690561517, 'val': 1}
  • id: 28652
    {'lmfdb_iso': '1170.c', 'p': 47, 'prec': 20, 'unit': 44017495990496371743752357100139, 'val': 1}
  • id: 28647
    {'lmfdb_iso': '1170.c', 'p': 53, 'prec': 20, 'unit': 471324982338966075995299915470304, 'val': 1}
  • id: 28648
    {'lmfdb_iso': '1170.c', 'p': 59, 'prec': 20, 'unit': 4407258078392436820198042407041779, 'val': 1}
  • id: 28653
    {'lmfdb_iso': '1170.c', 'p': 61, 'prec': 20, 'unit': 116074706562263508233389605583182, 'val': 1}
  • id: 28638
    {'lmfdb_iso': '1170.c', 'p': 67, 'prec': 20, 'unit': 44663633889639556799120795544463350, 'val': 1}
  • id: 28649
    {'lmfdb_iso': '1170.c', 'p': 73, 'prec': 20, 'unit': 192356870713401455522045625692202414, 'val': 1}
  • id: 28644
    {'lmfdb_iso': '1170.c', 'p': 79, 'prec': 20, 'unit': 325453512553712009776666779457734725, 'val': 1}
  • id: 28646
    {'lmfdb_iso': '1170.c', 'p': 83, 'prec': 20, 'unit': 1947409163748279458275603728289609165, 'val': 1}
  • id: 28651
    {'lmfdb_iso': '1170.c', 'p': 89, 'prec': 20, 'unit': 10325572360679054352944874237096325854, 'val': 1}
  • id: 28637
    {'lmfdb_iso': '1170.c', 'p': 97, 'prec': 20, 'unit': 37275011821493824770810290742792866284, 'val': 1}