Elliptic curve data - 177450.gh7

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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': '177450fb', 'Clabel': '177450fb1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 70062097996800000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 43680, 'ainvs': [1, 1, 1, 887162, 242726531], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 177450, 'degree': 7077888, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4953286907234909834456973919', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 163, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '177450.gh', 'lmfdb_label': '177450.gh7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '14.6.0.b.1', '16.48.0.v.1', '28.12.0.g.1', '56.48.0.bh.2', '96.96.1.?', '112.96.1.?', '160.96.2.?', '240.96.2.?', '260.12.0.?', '416.96.0.?', '480.192.5.?', '520.48.0.?', '624.96.0.?', '672.192.5.?', '1040.96.0.?', '1120.192.5.?', '1248.192.1.?', '1680.192.5.?', '1820.24.0.?', '2080.192.2.?', '2912.192.1.?', '3120.192.2.?', '3360.384.13.?', '3640.96.0.?', '4368.192.1.?', '6240.384.5.?', '7280.192.1.?', '8736.384.5.?', '14560.384.5.?', '21840.384.5.?', '43680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400451', 'prec': 103}, 'szpiro_ratio': 4.360335506554283, '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, 0, -1, -1, 1, 1, 0, 4, -1, 0, -1, 0, 1, -2, 1, -4, 0], 'aplist': [1, -1, 0, -1, 4, 0, -2, -4, 8, -2, 0, 6, 6, 4, 0, 10, -12, 14, -12, 8, 10, 16, -12, -10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 177450, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '177450.gh', 'trace_hash': 259433906780191237}
• 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': '0.0068011920448719906950021185717', 'prec': 110}, 'conductor': 177450, 'gens': [], 'heights': [], 'lmfdb_label': '177450.gh7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12725132860408054808939051480', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0720425153305775388604964734919765711', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-255, 127, 1]], 'xcoord_integral_points': [-255]}
• lmfdb_label 177450.gh7 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7859903
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '177450.gh7', 'torsion': [8]}
  • id: 7859902
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '177450.gh7', 'torsion': [2, 2]}
  • id: 7859904
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '177450.gh7', 'torsion': [4]}
  • id: 7859906
    {'degree': 4, 'field': [-26, -143, -55, -1, 1], 'lmfdb_label': '177450.gh7', 'torsion': [16]}
  • id: 7859907
    {'degree': 4, 'field': [40, 25, -1, -1, 1], 'lmfdb_label': '177450.gh7', 'torsion': [16]}
  • id: 7859905
    {'degree': 4, 'field': [324, 0, -29, 0, 1], 'lmfdb_label': '177450.gh7', 'torsion': [2, 8]}
  • id: 7859911
    {'degree': 8, 'field': [-13810, 13550, 4640, -1645, -100, 185, 1, -2, 1], 'lmfdb_label': '177450.gh7', 'torsion': [6]}
  • id: 7859910
    {'degree': 8, 'field': [4096, -1416, -596, 98, 173, -56, 6, -2, 1], 'lmfdb_label': '177450.gh7', 'torsion': [2, 16]}
  • id: 7859909
    {'degree': 8, 'field': [60264, 21196, -3055, -672, 167, -28, -17, 0, 1], 'lmfdb_label': '177450.gh7', 'torsion': [8]}
  • id: 7859908
    {'degree': 8, 'field': [133156, 8704, -7952, -1568, 945, -196, 70, -4, 1], 'lmfdb_label': '177450.gh7', 'torsion': [2, 4]}
  • id: 7859917
    {'degree': 16, 'field': [6707840, -6404320, -22507080, 58555110, -31091460, 2128860, -627809, -75368, 27750, -9620, 5653, -2112, 443, -70, 30, -8, 1], 'lmfdb_label': '177450.gh7', 'torsion': [24]}
  • id: 7859915
    {'degree': 16, 'field': [25563136, 48375808, 21302912, -13814016, -1995904, 7967168, 230440, -1715328, 282724, 115056, -32330, -7904, 2411, 312, -82, -4, 1], 'lmfdb_label': '177450.gh7', 'torsion': [32]}
  • id: 7859912
    {'degree': 16, 'field': [405458496, -6926784, 59168, 13917008, -7343084, 266224, 235368, -274068, 61489, 8308, -5208, 1820, -182, -84, 32, -8, 1], 'lmfdb_label': '177450.gh7', 'torsion': [4, 8]}
  • id: 7859916
    {'degree': 16, 'field': [775108296, 344743848, 257822820, -50438694, -85711530, -1058766, 8807773, 405190, -115768, -208630, 36997, -642, 1615, -422, 20, -4, 1], 'lmfdb_label': '177450.gh7', 'torsion': [2, 6]}
  • id: 7859913
    {'degree': 16, 'field': [5247411264, -1984032, 2313796968, -111797304, 483315508, -46344640, 63641130, -7560838, 5343441, -595142, 274356, -24110, 8298, -490, 138, -4, 1], 'lmfdb_label': '177450.gh7', 'torsion': [2, 16]}
  • id: 7859918
    {'degree': 16, 'field': [9657579520, -3165349120, 3516356256, -789663216, 250350792, -51014538, 1103002, -1186750, 644385, -155160, 18810, 1590, 1178, -98, -24, -4, 1], 'lmfdb_label': '177450.gh7', 'torsion': [12]}
  • id: 7859914
    {'degree': 16, 'field': [90242427136, 114598928640, -36070533408, -31970883840, 2595713488, 2288954640, 224141694, -100589160, 943095, 1380540, -374766, 33600, 9328, -420, -168, 0, 1], 'lmfdb_label': '177450.gh7', 'torsion': [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: 4390337
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '177450.gh7', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 4390338
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '177450.gh7', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4390339
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '177450.gh7', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4390340
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '177450.gh7', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4390341
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '177450.gh7', 'prime': 13, 'reduction_type': 0, '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: 2806671
    {'adelic_gens': [[1, 0, 32, 1], [23, 18, 41118, 41675], [6719, 0, 0, 43679], [1, 32, 0, 1], [5, 28, 68, 381], [18721, 40352, 41834, 23999], [21152, 20189, 24427, 2562], [43649, 32, 43648, 33], [18903, 13442, 22282, 6735], [2263, 26, 20982, 17291], [649, 43654, 4602, 22645]], 'adelic_image': '43680.768.13.?', 'conductor': 177450, 'lmfdb_label': '177450.gh7', 'prime': 0}
  • id: 666968
    {'conductor': 177450, 'elladic_image': '16.48.0.96', 'lmfdb_label': '177450.gh7', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 177450.gh does not appear in ec_padic