Elliptic curve data - 110670.cm2

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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': '110670cp', 'Clabel': '110670cp4', 'Cnumber': 4, 'abc_quality': 1.0302181844877023, 'absD': 226978257155929261920000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 354144, 'ainvs': [1, 0, 0, -36426360100, 2675908664482832], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17, 31], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 110670, 'degree': 197132288, 'elladic_images': ['16.96.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4149041387685203664955658251', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [5345287166085790635663218704920974401, 226978257155929261920000], 'lmfdb_iso': '110670.cm', 'lmfdb_label': '110670.cm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -36426360100, 2675908664482832], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.v.1.2', '672.192.1.?', '816.192.2.?', '1488.192.2.?', '2108.24.0.?', '3808.192.2.?', '4216.96.0.?', '6944.192.2.?', '8432.192.1.?', '11424.384.5.?', '20832.384.5.?', '25296.384.5.?', '118048.384.5.?', '354144.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 527], [3, 4, 36890], [5, 6, 22134], [7, 8, 15810], [17, 18, 6510], [31, 32, 3570]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.4149041387685203664955658251', 'prec': 100}, 'szpiro_ratio': 7.28147368227307, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
• 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, -4, 1, -2, 1, 1, 1, 1, 1, 4, 1], 'aplist': [1, 1, 1, 1, -4, -2, 1, 4, 8, -2, -1, 6, 10, -4, 0, 6, 12, -2, 4, -8, 10, 0, -12, -6, -14], 'class_deg': 16, 'class_size': 8, 'conductor': 110670, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 4, 8], [16, 1, 8, 4, 2, 4, 16, 8], [2, 8, 1, 2, 4, 8, 2, 4], [4, 4, 2, 1, 2, 4, 4, 2], [8, 2, 4, 2, 1, 2, 8, 4], [16, 4, 8, 4, 2, 1, 16, 8], [4, 16, 2, 4, 8, 16, 1, 8], [8, 8, 4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '110670.cm', 'trace_hash': 2030220627107999368}
• 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': '0.00014630628699737165841220103491', 'prec': 113}, 'conductor': 110670, 'gens': [], 'heights': [], 'lmfdb_label': '110670.cm2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.053552206489880490600271794593', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8546824307047027968347897078939887998', 'prec': 130}, 'tamagawa_product': 2048, 'torsion_generators': [[110204, -47752, 1]], 'xcoord_integral_points': [110204, 110792, 139604]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [14, 0], '3': [1, 0], '5': [1, 0], '7': [5, 0], '17': [1, 0], '31': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '110670.cm2'}
• ec_torsion_growth •

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

  
  
  • id: 5094360
    {'degree': 2, 'field': [-527, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [2, 8]}
  • id: 5094362
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [16]}
  • id: 5094361
    {'degree': 2, 'field': [-23, -1, 1], 'lmfdb_label': '110670.cm2', 'torsion': [16]}
  • id: 5094363
    {'degree': 4, 'field': [733, 148, -147, -2, 1], 'lmfdb_label': '110670.cm2', 'torsion': [2, 16]}
  • id: 5094368
    {'degree': 8, 'field': [-531723, 0, -69208, 0, -2526, 0, 0, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [24]}
  • id: 5094364
    {'degree': 8, 'field': [276676, 0, 6328, 0, -1048, 0, 4, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [4, 8]}
  • id: 5094367
    {'degree': 8, 'field': [182246424024, -977604096, -1309383600, -23714544, 4769314, 17140, -4056, -2, 1], 'lmfdb_label': '110670.cm2', 'torsion': [32]}
  • id: 5094365
    {'degree': 8, 'field': [466478072064, 0, 0, 0, 1133577, 0, 0, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [2, 16]}
  • id: 5094366
    {'degree': 8, 'field': [1224784890000, 0, -5146155000, 0, 7570200, 0, -4650, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [32]}
  • id: 5094369
    {'degree': 16, 'field': [24037711681, 0, -19649618200, 0, 7935935450, 0, -10329900, 0, 9928427, 0, -165900, 0, 2318, 0, -100, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [4, 16]}
  • id: 5094373
    {'degree': 16, 'field': [10011712139541, 1265766759432, -1233615483072, -62285406792, 26128862706, 5936403528, -1848302708, -105532256, 18546603, 5119976, -922276, -52176, 5966, 1232, -156, -8, 1], 'lmfdb_label': '110670.cm2', 'torsion': [48]}
  • id: 5094374
    {'degree': 16, 'field': [14947935457536, 0, -30676639322112, 0, 1226372521216, 0, -35516033664, 0, 610495776, 0, -8082176, 0, 67776, 0, -408, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [48]}
  • id: 5094372
    {'degree': 16, 'field': [3840250948537118976, 0, -58296029579311104, 0, 221237303906304, 0, -50976686643887, 0, 205217846306, 0, -116615087, 0, 277729, 0, -1054, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [2, 24]}
  • id: 5094371
    {'degree': 16, 'field': [30293149829197374784, 10638873069670198528, 10892342015836242560, -1485499854416928256, 91153037057965712, -853254033565024, 173337516194592, -19161903241872, 2453142176476, -110233058952, 3775507608, -80667400, 2110358, -109324, 836, -2, 1], 'lmfdb_label': '110670.cm2', 'torsion': [2, 32]}
  • id: 5094370
    {'degree': 16, 'field': [1150513732427706645587521, 0, -10511721064419014758060, 0, 40423415521933128406, 0, -85280755115801620, 0, 107754756640351, 0, -83347519180, 0, 38451646, 0, -9640, 0, 1], 'lmfdb_label': '110670.cm2', 'torsion': [2, 32]}
• 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: 2720474
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '110670.cm2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2720475
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110670.cm2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2720476
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110670.cm2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2720477
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '110670.cm2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 2720478
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110670.cm2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2720479
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110670.cm2', 'prime': 31, '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: 2388784
    {'adelic_gens': [[1, 0, 32, 1], [1, 32, 0, 1], [243506, 19, 330255, 353102], [5, 28, 68, 381], [308478, 31, 182633, 353988], [354113, 32, 354112, 33], [291680, 29, 336139, 2562], [236119, 26, 351606, 351275], [309879, 2, 309850, 354127], [23, 18, 351582, 352139], [151777, 32, 303568, 513]], 'adelic_image': '354144.768.13.?', 'conductor': 110670, 'lmfdb_label': '110670.cm2', 'prime': 0}
  • id: 439147
    {'conductor': 110670, 'elladic_image': '16.96.0.95', 'lmfdb_label': '110670.cm2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 110670.cm does not appear in ec_padic