Elliptic curve isogeny class data - 78400.ih

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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, 0, 0, 0, 0, -2, 0, 3, 0, -4, 0, 0, 0, 3, 0, 5, 0], 'aplist': [0, 1, 0, 0, 3, -4, 3, 5, 6, 0, -2, -2, 3, 4, -12, -6, 0, 2, 13, 12, -11, -10, -9, -15, -2], 'class_deg': 15, 'class_size': 4, 'conductor': 78400, 'isogeny_matrix': [[1, 15, 3, 5], [15, 1, 5, 3], [3, 5, 1, 15], [5, 3, 15, 1]], 'lmfdb_iso': '78400.ih', 'trace_hash': 2079533220180980854}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 4037062
    {'lmfdb_iso': '78400.ih', 'p': 11, 'prec': 20, 'unit': 17176360427668941447, 'val': 1}
  • id: 4037060
    {'lmfdb_iso': '78400.ih', 'p': 13, 'prec': 20, 'unit': 499176566515030510352, 'val': 1}
  • id: 4037063
    {'lmfdb_iso': '78400.ih', 'p': 17, 'prec': 20, 'unit': 3951179845871990275301, 'val': 1}
  • id: 4037064
    {'lmfdb_iso': '78400.ih', 'p': 19, 'prec': 20, 'unit': 767263179960684589586531, 'val': 1}
  • id: 4037067
    {'lmfdb_iso': '78400.ih', 'p': 23, 'prec': 20, 'unit': 53900497708910135188134214, 'val': 1}
  • id: 4037071
    {'lmfdb_iso': '78400.ih', 'p': 31, 'prec': 20, 'unit': 10050366246129544564771813897, 'val': 1}
  • id: 4037056
    {'lmfdb_iso': '78400.ih', 'p': 37, 'prec': 20, 'unit': 367688675913007882634031643949, 'val': 1}
  • id: 4037058
    {'lmfdb_iso': '78400.ih', 'p': 41, 'prec': 20, 'unit': 2737592051681164158878406503915, 'val': 1}
  • id: 4037059
    {'lmfdb_iso': '78400.ih', 'p': 43, 'prec': 20, 'unit': 126502004842883732521305530920, 'val': 1}
  • id: 4037061
    {'lmfdb_iso': '78400.ih', 'p': 47, 'prec': 20, 'unit': 8025531181757058428243496426558, 'val': 1}
  • id: 4037065
    {'lmfdb_iso': '78400.ih', 'p': 53, 'prec': 20, 'unit': 107085374667400294944246372704260, 'val': 1}
  • id: 4037070
    {'lmfdb_iso': '78400.ih', 'p': 61, 'prec': 20, 'unit': 5961696810520622617069726927701282, 'val': 1}
  • id: 4037055
    {'lmfdb_iso': '78400.ih', 'p': 67, 'prec': 20, 'unit': 22590470410292039054837686839502171, 'val': 1}
  • id: 4037057
    {'lmfdb_iso': '78400.ih', 'p': 71, 'prec': 20, 'unit': 146247940207768555899401565692616139, 'val': 1}
  • id: 4037066
    {'lmfdb_iso': '78400.ih', 'p': 73, 'prec': 20, 'unit': 221004552466964469931981428755249644, 'val': 1}
  • id: 4037069
    {'lmfdb_iso': '78400.ih', 'p': 79, 'prec': 20, 'unit': 1105733616199982285338845804036704556, 'val': 1}
  • id: 4037054
    {'lmfdb_iso': '78400.ih', 'p': 83, 'prec': 20, 'unit': 1084774744465823202185476265429791071, 'val': 1}
  • id: 4037068
    {'lmfdb_iso': '78400.ih', 'p': 89, 'prec': 20, 'unit': 6735132616265150414796589952165824931, 'val': 1}
  • id: 4037053
    {'lmfdb_iso': '78400.ih', 'p': 97, 'prec': 20, 'unit': 46020873680692833000786377727188669262, 'val': 1}
• 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: 517588
    {'Ciso': '78400ek', 'Clabel': '78400ek2', 'Cnumber': 2, 'abc_quality': 1.050775872125697, 'absD': 154204897280000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -393633, 94928063], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 78400, 'degree': 414720, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8358823935577479296223217924', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 215, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-349938025, 8], 'lmfdb_iso': '78400.ih', 'lmfdb_label': '78400.ih1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -126, -552], 'min_quad_twist_disc': -56, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '8.2.0.a.1', '15.96.1.a.1', '24.8.0.a.1', '40.24.1.bx.2', '84.8.0.?', '120.192.9.?', '140.24.0.?', '168.16.0.?', '280.48.1.?', '420.192.1.?', '840.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7710913355091430249963761466', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71327275595452681192312253925', 'prec': 107}, 'szpiro_ratio': 4.460074950675614, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 517589
    {'Ciso': '78400ek', 'Clabel': '78400ek3', 'Cnumber': 3, 'abc_quality': 0.9433414068835279, 'absD': 385512243200000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -236833, -53561537], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 78400, 'degree': 691200, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0912952054407432712250788405', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 215, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-121945, 32], 'lmfdb_iso': '78400.ih', 'lmfdb_label': '78400.ih2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3, 1], 'min_quad_twist_disc': -280, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '8.2.0.a.1', '15.96.1.a.4', '24.8.0.a.1', '40.24.1.bx.1', '84.8.0.?', '120.192.9.?', '140.24.0.?', '168.16.0.?', '280.48.1.?', '420.192.1.?', '840.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2851522258485717083272935777', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99433924821623159518728526889', 'prec': 107}, 'szpiro_ratio': 4.358004696717092, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 517587
    {'Ciso': '78400ek', 'Clabel': '78400ek1', 'Cnumber': 1, 'abc_quality': 1.0904350906962674, 'absD': 38551224320000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, -1633, 299263], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 78400, 'degree': 138240, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2865762492236930839246991739', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 215, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-25, 2], 'lmfdb_iso': '78400.ih', 'lmfdb_label': '78400.ih3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -2], 'min_quad_twist_disc': -56, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '8.2.0.a.1', '15.96.1.a.2', '24.8.0.a.1', '40.24.1.bx.2', '84.8.0.?', '120.192.9.?', '140.24.0.?', '168.16.0.?', '280.48.1.?', '420.192.1.?', '840.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2570304451697143416654587155', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2625789002885816576207451578', 'prec': 103}, 'szpiro_ratio': 3.4380109472203633, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 517590
    {'Ciso': '78400ek', 'Clabel': '78400ek4', 'Cnumber': 4, 'abc_quality': 1.0629647337743247, 'absD': 394764537036800000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 1, 0, 1723167, 395278463], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 78400, 'degree': 2073600, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6406013497747981169227014590', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 15, 'iso_nlabel': 215, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [46969655, 32768], 'lmfdb_iso': '78400.ih', 'lmfdb_label': '78400.ih4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 22, -9], 'min_quad_twist_disc': -280, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '8.2.0.a.1', '15.96.1.a.3', '24.8.0.a.1', '40.24.1.bx.1', '84.8.0.?', '120.192.9.?', '140.24.0.?', '168.16.0.?', '280.48.1.?', '420.192.1.?', '840.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.855456677545715124981880733', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44503310388217674948966265040', 'prec': 107}, 'szpiro_ratio': 4.853120489714868, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}