Elliptic curve isogeny class data - 100800.iz

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• 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, -4, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, 1, -4, -2, 2, -4, 8, 6, 8, -2, -2, 12, 8, -6, -4, 2, -12, 8, 14, 0, 12, -2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 100800, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '100800.iz', 'trace_hash': 1337447576194604352}
• lmfdb_iso 100800.iz does not appear in ec_padic
• 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[]

  
  
  • id: 663025
    {'Ciso': '100800nx', 'Clabel': '100800nx6', 'Cnumber': 6, 'abc_quality': 1.0369284989490737, 'absD': 9405849600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -241920300, -1448293502000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 100800, 'degree': 9437184, 'elladic_images': ['16.48.0.108'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1305033008651549505852775153', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '100800.iz', 'lmfdb_label': '100800.iz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.7', '16.48.0-16.e.1.9', '56.48.0-56.bh.1.10', '112.96.0.?', '120.48.0.?', '240.96.0.?', '420.12.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704804', 'prec': 103}, 'szpiro_ratio': 6.034771425795095, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 663023
    {'Ciso': '100800nx', 'Clabel': '100800nx4', 'Cnumber': 4, 'abc_quality': 1.0020619953336782, 'absD': 29628426240000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 0, 0, -15120300, -22628702000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 100800, 'degree': 4718592, 'elladic_images': ['8.48.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7839297105851822958766614546', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4], 'jinv': [128031684631201, 9922500], 'lmfdb_iso': '100800.iz', 'lmfdb_label': '100800.iz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1050, -13533], 'min_quad_twist_disc': 120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.2.5', '56.96.0-56.n.1.11', '120.96.0.?', '420.24.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098734', 'prec': 103}, 'szpiro_ratio': 5.312803961505518, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 663024
    {'Ciso': '100800nx', 'Clabel': '100800nx5', 'Cnumber': 5, 'abc_quality': 1.0081875418390414, 'absD': 107138505600000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -14112300, -25775678000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 100800, 'degree': 9437184, 'elladic_images': ['16.48.0.106'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1305033008651549505852775153', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-104094944089921, 35880468750], 'lmfdb_iso': '100800.iz', 'lmfdb_label': '100800.iz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -980, -15325], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0-8.bb.1.4', '56.48.0.bn.1', '112.96.0.?', '120.48.0.?', '240.96.0.?', '420.12.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704804', 'prec': 103}, 'szpiro_ratio': 5.335396873643912, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 663022
    {'Ciso': '100800nx', 'Clabel': '100800nx3', 'Cnumber': 3, 'abc_quality': 0.9866121641692004, 'absD': 1032816212951040000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -5328300, 4474402000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 100800, 'degree': 4718592, 'elladic_images': ['8.48.0.211'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7839297105851822958766614546', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5602762882081, 345888060], 'lmfdb_iso': '100800.iz', 'lmfdb_label': '100800.iz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -370, 2435], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.8', '60.12.0.h.1', '112.96.0.?', '120.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098734', 'prec': 103}, 'szpiro_ratio': 5.041208890773073, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 663021
    {'Ciso': '100800nx', 'Clabel': '100800nx2', 'Cnumber': 2, 'abc_quality': 0.9591619974980434, 'absD': 25809651302400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 0, 0, -1008300, -303518000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 100800, 'degree': 2359296, 'elladic_images': ['8.48.0.79'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4373561203052096411680453939', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4], 'jinv': [37966934881, 8643600], 'lmfdb_iso': '100800.iz', 'lmfdb_label': '100800.iz5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70, -205], 'min_quad_twist_disc': 120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.1.6', '56.96.0-56.r.1.14', '60.24.0.c.1', '120.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.043610248914186644044194926640', 'prec': 107}, 'szpiro_ratio': 4.6077095773500965, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 663020
    {'Ciso': '100800nx', 'Clabel': '100800nx1', 'Cnumber': 1, 'abc_quality': 0.9283517895086211, 'absD': 561842749440000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, 143700, -29342000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 100800, 'degree': 1179648, 'elladic_images': ['16.48.0.188'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0907825300252369864594293331', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [109902239, 188160], 'lmfdb_iso': '100800.iz', 'lmfdb_label': '100800.iz6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -13], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.8', '16.48.0-16.e.2.9', '30.6.0.a.1', '56.48.0-56.bv.1.16', '60.12.0.g.1', '112.96.0.?', '120.48.0.?', '240.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.30296334136578601066442113416', 'prec': 107}, 'szpiro_ratio': 4.158723103127959, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}