Elliptic curve data - 3570.w1

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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': '3570v', 'Clabel': '3570v7', 'Cnumber': 7, 'abc_quality': 1.0332562394853404, 'absD': 223081361502731896500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 14280, 'ainvs': [1, 0, 0, -13299866, -18656185104], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 3570, 'degree': 221184, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8312171743775308659336116663', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [260174968233082037895439009, 223081361502731896500], 'lmfdb_iso': '3570.w', 'lmfdb_label': '3570.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -13299866, -18656185104], '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', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '20.12.0-4.c.1.1', '56.12.0-4.c.1.5', '60.96.0-60.c.3.12', '68.12.0-4.c.1.1', '168.96.0.?', '170.6.0.?', '204.96.0.?', '280.24.0.?', '340.24.0.?', '510.48.0.?', '840.192.1.?', '952.24.0.?', '1020.192.1.?', '2856.192.1.?', '4760.48.0.?', '14280.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 85], [3, 4, 2], [5, 6, 714], [7, 8, 510], [17, 18, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8312171743775308659336116663', 'prec': 100}, 'szpiro_ratio': 7.435331391320939, '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, 1, 1, -1, 1, 1, 1, 1, -1, 0, 1, 2, 1, -1, 1, -1, 1, -4, -1], 'aplist': [1, 1, -1, 1, 0, 2, -1, -4, 0, 6, 8, 2, 6, -4, 12, 6, 12, 2, -4, -12, -10, -4, 0, -6, 14], 'class_deg': 12, 'class_size': 8, 'conductor': 3570, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '3570.w', 'trace_hash': 2214308051824702361}
• 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': '0.0034740495479592910028898611782', 'prec': 110}, 'conductor': 3570, 'gens': [], 'heights': [], 'lmfdb_label': '3570.w1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.079060597625860806877817867708', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7949086860413187301352576499819962380', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-8609, 8609, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': [1, 1], '5': [0, 0], '7': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3570.w1'}
• ec_torsion_growth •

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

  
  
  • id: 186397
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 2]}
  • id: 186400
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '3570.w1', 'torsion': [6]}
  • id: 186399
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [4]}
  • id: 186398
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [4]}
  • id: 186401
    {'degree': 3, 'field': [-6, 0, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [6]}
  • id: 186402
    {'degree': 4, 'field': [9, 0, 11, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 4]}
  • id: 186405
    {'degree': 4, 'field': [25, 0, -5, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [12]}
  • id: 186404
    {'degree': 4, 'field': [289, 0, -17, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [12]}
  • id: 186403
    {'degree': 4, 'field': [441, 21, 22, -1, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 6]}
  • id: 186407
    {'degree': 6, 'field': [-8841, -2097, 1278, 113, -60, -3, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 6]}
  • id: 186406
    {'degree': 6, 'field': [48, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [3, 6]}
  • id: 186409
    {'degree': 6, 'field': [161, 180, 75, -12, 15, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [12]}
  • id: 186408
    {'degree': 6, 'field': [4949, 612, 867, -12, 51, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [12]}
  • id: 186413
    {'degree': 8, 'field': [81, 0, -99, 0, 112, 0, -11, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 12]}
  • id: 186412
    {'degree': 8, 'field': [406, -1736, 2272, -1118, 675, -142, 52, -4, 1], 'lmfdb_label': '3570.w1', 'torsion': [8]}
  • id: 186410
    {'degree': 8, 'field': [113221, 5444, -6118, 1352, -685, 8, 2, -4, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 4]}
  • id: 186411
    {'degree': 8, 'field': [910116, 0, 79172, 0, 6285, 0, 78, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [8]}
  • id: 186416
    {'degree': 12, 'field': [26244, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [3, 12]}
  • id: 186417
    {'degree': 12, 'field': [39249, 47628, 25461, -2580, -54, -1764, 2141, 0, 390, -24, 33, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 12]}
  • id: 186415
    {'degree': 12, 'field': [19131876, 0, 0, 0, 0, 0, -1248, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [3, 12]}
  • id: 186414
    {'degree': 12, 'field': [78163281, 18539577, 15696207, -681900, 1339785, -80703, 65476, -1209, 2661, -46, 69, -3, 1], 'lmfdb_label': '3570.w1', 'torsion': [6, 6]}
  • id: 186423
    {'degree': 16, 'field': [164836, -704816, 2091264, -3036376, 2947086, -254148, -487964, -201298, 192207, 9598, -14864, -3102, 1461, 76, -36, -4, 1], 'lmfdb_label': '3570.w1', 'torsion': [24]}
  • id: 186418
    {'degree': 16, 'field': [61168041, 0, -22124808, 0, 3984178, 0, -437436, 0, 43715, 0, -876, 0, 398, 0, 12, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [4, 4]}
  • id: 186419
    {'degree': 16, 'field': [316982421, 105332556, -75916484, -57443876, 25287318, 4026176, -1199236, -92028, -10817, 16096, 3196, -3468, 578, -28, 24, -8, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 8]}
  • id: 186421
    {'degree': 16, 'field': [13644039181, -1270188316, 722933174, 129446184, -128109239, -2918528, -2473794, -1425268, 679032, 27188, -3354, 4048, -1319, -24, 14, -4, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 12]}
  • id: 186420
    {'degree': 16, 'field': [52567025625, 0, -10244520000, 0, 1931465950, 0, 29961900, 0, -3691329, 0, -51452, 0, 4734, 0, 132, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [2, 8]}
  • id: 186422
    {'degree': 16, 'field': [2238638379264, 0, -372329698944, 0, 20656840432, 0, -543970104, 0, 9884097, 0, 235030, 0, -3873, 0, -78, 0, 1], 'lmfdb_label': '3570.w1', 'torsion': [24]}
  • id: 186424
    {'degree': 18, 'field': [626079642086592, 0, 0, -9082225434960, 0, 0, 43774938012, 0, 0, -87193770, 0, 0, 244399, 0, 0, -125, 0, 0, 1], 'lmfdb_label': '3570.w1', '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: 65778
    {'conductor': 3570, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3570.w1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 65779
    {'conductor': 3570, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3570.w1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 65780
    {'conductor': 3570, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3570.w1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 65781
    {'conductor': 3570, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '3570.w1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 65782
    {'conductor': 3570, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3570.w1', 'prime': 17, '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: 1687237
    {'adelic_gens': [[1, 12, 12, 145], [6121, 24, 2052, 289], [5896, 3, 13821, 14194], [10711, 24, 10710, 1], [2872, 21, 13995, 13906], [14257, 24, 14256, 25], [1, 24, 0, 1], [6561, 4168, 2516, 509], [11901, 9524, 20, 7221], [1, 0, 24, 1], [15, 106, 12974, 5051]], 'adelic_image': '14280.384.5.?', 'conductor': 3570, 'lmfdb_label': '3570.w1', 'prime': 0}
  • id: 17854
    {'conductor': 3570, 'elladic_image': '4.6.0.1', 'lmfdb_label': '3570.w1', 'modell_image': '2B', 'prime': 2}
  • id: 17855
    {'conductor': 3570, 'elladic_image': '3.8.0.2', 'lmfdb_label': '3570.w1', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 3570.w does not appear in ec_padic