Elliptic curve isogeny class data - 1680.t

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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, 1, 0, 1, 0, 1, 0, 1, 0, 4, 0, -2, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, 1, 1, 1, 4, -2, 2, 4, 0, -10, 0, 6, -6, 4, 8, 6, 4, -10, -4, 16, -14, -8, 4, 10, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 1680, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '1680.t', 'trace_hash': 1210627288603867288}
• lmfdb_iso 1680.t 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: 9274
    {'Ciso': '1680j', 'Clabel': '1680j5', 'Cnumber': 5, 'abc_quality': 0.9945848677395916, 'absD': 3292047360, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -10480, 409460], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1680, 'degree': 2048, 'elladic_images': ['8.24.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93291507377867604482123635345', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62161150998242, 1607445], 'lmfdb_iso': '1680.t', 'lmfdb_label': '1680.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -10480, -409460], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '40.48.0-40.bp.1.5', '48.48.0-48.e.1.7', '56.48.0-56.bu.2.6', '240.96.0.?', '280.96.0.?', '336.96.0.?', '1680.192.1.?'], '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': '0.29753015826539284452210690878', 'prec': 103}, 'szpiro_ratio': 5.303320551811148, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 9272
    {'Ciso': '1680j', 'Clabel': '1680j3', 'Cnumber': 3, 'abc_quality': 0.9425087047318286, 'absD': 4978713600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 1, 0, -680, 5700], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1680, 'degree': 1024, 'elladic_images': ['4.24.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.58634148349870339011262029272', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [34008619684, 4862025], 'lmfdb_iso': '1680.t', 'lmfdb_label': '1680.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -680, -5700], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '24.48.0-24.i.2.9', '40.48.0-40.e.1.1', '56.48.0-56.h.2.1', '120.96.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0087188330320822989315935248380', 'prec': 110}, 'szpiro_ratio': 4.198632682714298, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 9271
    {'Ciso': '1680j', 'Clabel': '1680j2', 'Cnumber': 2, 'abc_quality': 0.9000658191294795, 'absD': 70560000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 1, 0, -180, -900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1680, 'degree': 512, 'elladic_images': ['4.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23976789321873073540400423199', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [2533446736, 275625], 'lmfdb_iso': '1680.t', 'lmfdb_label': '1680.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -180, 900], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '24.48.0-24.i.1.3', '40.48.0-40.l.1.2', '56.48.0-56.h.1.1', '84.48.0.?', '120.96.0.?', '168.96.0.?', '280.96.0.?', '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': '-0.22233022715456613754081718232', 'prec': 107}, 'szpiro_ratio': 3.6622694791511305, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 9270
    {'Ciso': '1680j', 'Clabel': '1680j1', 'Cnumber': 1, 'abc_quality': 0.9605836908258326, 'absD': 8400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -175, -952], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1680, 'degree': 256, 'elladic_images': ['8.24.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10680569706124191930461182873', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [37256083456, 525], 'lmfdb_iso': '1680.t', 'lmfdb_label': '1680.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 952], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '42.6.0.a.1', '48.48.0-48.e.2.7', '80.48.0.?', '84.24.0.?', '112.48.0.?', '120.48.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33785475724789035577702253588', 'prec': 107}, 'szpiro_ratio': 3.6509110140680896, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 9273
    {'Ciso': '1680j', 'Clabel': '1680j4', 'Cnumber': 4, 'abc_quality': 0.9617149979611352, 'absD': 8400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, 240, -4092], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1680, 'degree': 1024, 'elladic_images': ['8.24.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.58634148349870339011262029272', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1486779836, 8203125], 'lmfdb_iso': '1680.t', 'lmfdb_label': '1680.t5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 240, 4092], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '24.48.0-24.bz.2.11', '56.48.0-56.bu.1.11', '80.48.0.?', '84.24.0.?', '168.96.0.?', '240.96.0.?', '560.96.0.?', '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': '0.0087188330320822989315935248380', 'prec': 110}, 'szpiro_ratio': 4.065873848684397, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 9275
    {'Ciso': '1680j', 'Clabel': '1680j6', 'Cnumber': 6, 'abc_quality': 0.9884224063998598, 'absD': 531284060160, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, 1120, 32340], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1680, 'degree': 2048, 'elladic_images': ['8.24.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93291507377867604482123635345', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [75798394558, 259416045], 'lmfdb_iso': '1680.t', 'lmfdb_label': '1680.t6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1120, -32340], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '24.48.0-24.bz.1.3', '40.48.0-40.bl.1.5', '112.48.0.?', '120.96.0.?', '336.96.0.?', '560.96.0.?', '1680.192.1.?'], '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': '0.29753015826539284452210690878', 'prec': 103}, 'szpiro_ratio': 4.614262665257657, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}