Elliptic curve data - 1170.c2

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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': '1170b2', 'Cnumber': 2, 'abc_quality': 1.0039069659549966, 'absD': 1140750, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -3999, 98343], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1170, 'degree': 1152, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56450134807679149460075805490', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [261984288445803, 42250], 'lmfdb_iso': '1170.c', 'lmfdb_label': '1170.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3999, 98343], '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', '6.24.0-6.a.1.4', '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': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6836248534720454073716437241', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 6, 26], [5, 6, 234], [13, 14, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28984827590976407175194674567', 'prec': 103}, 'szpiro_ratio': 5.16580146223881, '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, 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': '0.32335557943167639633741208727', 'prec': 103}, 'conductor': 1170, 'gens': [[67, 324, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6836248534720454073716437241', 'prec': 100}], 'lmfdb_label': '1170.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.1544366728319150100311232528', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9272332668144496497955388988744178883', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[27, 84, 1]], 'xcoord_integral_points': [-51, 27, 37, 67]}
• 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.c2'}
• ec_torsion_growth •

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

  
  
  • id: 57634
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '1170.c2', 'torsion': [2, 6]}
  • id: 57635
    {'degree': 4, 'field': [120, 0, 21, 0, 1], 'lmfdb_label': '1170.c2', 'torsion': [12]}
  • id: 57636
    {'degree': 6, 'field': [2809, -159, -150, 97, 6, -3, 1], 'lmfdb_label': '1170.c2', 'torsion': [3, 6]}
  • id: 57637
    {'degree': 8, 'field': [105625, 0, 4030, 0, 66, 0, -2, 0, 1], 'lmfdb_label': '1170.c2', 'torsion': [2, 12]}
  • id: 57638
    {'degree': 8, 'field': [136900, 0, -41600, 0, 2190, 0, -80, 0, 1], 'lmfdb_label': '1170.c2', 'torsion': [2, 12]}
  • id: 57639
    {'degree': 9, 'field': [22500, -13500, 2700, -1530, 90, 0, -51, 18, -3, 1], 'lmfdb_label': '1170.c2', 'torsion': [18]}
  • id: 57640
    {'degree': 12, 'field': [13719616, -11556480, 8623200, -1706432, 303360, 218400, 9224, 0, 600, -208, -30, 0, 1], 'lmfdb_label': '1170.c2', 'torsion': [6, 6]}
  • id: 57641
    {'degree': 16, 'field': [258064, 0, -717140, 0, 2776841, 0, -985274, 0, 411247, 0, -14512, 0, 1367, 0, -34, 0, 1], 'lmfdb_label': '1170.c2', 'torsion': [24]}
  • id: 57642
    {'degree': 18, 'field': [32400, -388800, 1944000, -15584400, 71506800, -138996000, 95742540, 21614040, -46572300, 20493180, -2695410, 403380, -77139, 504, 900, -390, 45, -6, 1], 'lmfdb_label': '1170.c2', 'torsion': [2, 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: 17017
    {'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1170.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 17018
    {'conductor': 1170, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1170.c2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 17019
    {'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1170.c2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 17020
    {'conductor': 1170, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1170.c2', 'prime': 13, '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: 1671933
    {'adelic_gens': [[10, 3, 1221, 1552], [10, 3, 753, 1552], [1081, 12, 246, 73], [272, 11, 1005, 1528], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [1549, 12, 1548, 13], [11, 2, 1510, 1551], [66, 337, 845, 1106]], 'adelic_image': '1560.96.1.?', 'conductor': 1170, 'lmfdb_label': '1170.c2', 'prime': 0}
  • id: 5569
    {'conductor': 1170, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1170.c2', 'modell_image': '2B', 'prime': 2}
  • id: 5570
    {'conductor': 1170, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1170.c2', 'modell_image': '3B.1.1', '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}