Elliptic curve isogeny class data - 388080.iu

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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, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 1, 0, -1, -2, 6, -4, 0, -6, -4, 2, 6, 4, 0, -6, 0, -2, 4, 0, -2, -8, -12, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 388080, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '388080.iu', 'trace_hash': 2047141737585611298}
• lmfdb_iso 388080.iu 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
  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[]

  
  
  • id: 2413135
    {'Ciso': '388080iu', 'Clabel': '388080iu8', 'Cnumber': 8, 'abc_quality': 1.0099317486363533, 'absD': 45379875949282883739482357760, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -1809352587, -27793736957126], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 254803968, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2466892977141730136322740531', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1864737106103260904761, 129177711985836360], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -256428, 46871746], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.1', '56.12.0-4.c.1.1', '60.48.0-12.g.1.4', '84.48.0.?', '120.96.0.?', '168.96.0.?', '264.96.1.?', '420.96.0.?', '440.12.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.120469008221074057536858811', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 8, 3920], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0312808982925162059647429415', 'prec': 100}, 'szpiro_ratio': 5.871668573075581, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2413132
    {'Ciso': '388080iu', 'Clabel': '388080iu5', 'Cnumber': 5, 'abc_quality': 1.0084342270778677, 'absD': 243023499222045696000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -1778129787, -28859798820566], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 84934656, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6973831533801181679346514346', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1769857772964702379561, 691787250], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -252003, 48670756], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.2', '56.12.0-4.c.1.1', '60.48.0-12.g.1.4', '84.48.0.?', '120.96.0.?', '168.96.0.?', '264.96.1.?', '420.96.0.?', '440.12.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3734896694070246858456196037', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 2, 8624], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4819747539584613602671203230', 'prec': 100}, 'szpiro_ratio': 5.867610679923337, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2413133
    {'Ciso': '388080iu', 'Clabel': '388080iu6', 'Cnumber': 6, 'abc_quality': 0.9961821450746233, 'absD': 1054344554927819868871065600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -357227787, 2076760603834], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 127401984, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9001157074342003589236579923', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [14351050585434661561, 3001282273281600], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -50628, -3508094], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '24.48.0.o.1', '56.12.0-2.a.1.1', '60.48.0-6.a.1.6', '84.48.0.?', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.1.?', '420.96.0.?', '440.12.0.?', '660.96.0.?', '840.192.1.?', '924.96.0.?', '1320.192.1.?', '1540.12.0.?', '1848.192.1.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.060234504110537028768429406', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 3920], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6847073080125435512561268807', 'prec': 100}, 'szpiro_ratio': 5.493467875901307, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2413130
    {'Ciso': '388080iu', 'Clabel': '388080iu3', 'Cnumber': 3, 'abc_quality': 0.9904748915898808, 'absD': 266049754842880687472640, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -336906507, 2380063836346], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 63700992, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5535421171542277042150419316', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [12038605770121350841, 757333463040], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -47748, -4019582], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bs.1', '56.12.0-4.c.1.4', '60.48.0-12.g.1.3', '84.48.0.?', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.1.?', '420.96.0.?', '440.12.0.?', '660.96.0.?', '770.6.0.?', '840.192.1.?', '924.96.0.?', '1320.192.1.?', '1540.12.0.?', '1848.192.1.?', '2310.24.0.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5301172520552685143842147028', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 24255], [3, 8, 3920], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3381337177325708965475108200', 'prec': 100}, 'szpiro_ratio': 5.479814525118242, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2413129
    {'Ciso': '388080iu', 'Clabel': '388080iu2', 'Cnumber': 2, 'abc_quality': 0.9765179895036278, 'absD': 94899672216873216000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -111149787, -450792264566], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 42467328, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3508095631001455132260353739', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [432288716775559561, 270140062500], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -15753, 759256], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '24.48.0.o.2', '56.12.0-2.a.1.1', '60.48.0-6.a.1.6', '84.48.0.?', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.1.?', '420.96.0.?', '440.12.0.?', '660.96.0.?', '840.192.1.?', '924.96.0.?', '1320.192.1.?', '1540.12.0.?', '1848.192.1.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6867448347035123429228098019', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 2, 8624], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1354011636784887055585042623', 'prec': 100}, 'szpiro_ratio': 5.221302689819536, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2413131
    {'Ciso': '388080iu', 'Clabel': '388080iu4', 'Cnumber': 4, 'abc_quality': 0.9894412364238445, 'absD': 122319127173474000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -90193467, -625974525974], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 84934656, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6973831533801181679346514346', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-230979395175477481, 348191894531250], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12783, 1055068], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.4', '56.12.0-4.c.1.2', '84.48.0.?', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.1.?', '440.12.0.?', '840.192.1.?', '924.96.0.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3734896694070246858456196037', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4851], [3, 2, 8624], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4819747539584613602671203230', 'prec': 100}, 'szpiro_ratio': 5.272241175992096, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2413128
    {'Ciso': '388080iu', 'Clabel': '388080iu1', 'Cnumber': 1, 'abc_quality': 0.956628893391902, 'absD': 28750903291885953024000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -8273307, -4164314294], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 21233664, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0042359728201728585174193131', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [178272935636041, 81841914000], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1173, 6928], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bs.2', '56.12.0-4.c.1.4', '60.48.0-12.g.1.3', '84.48.0.?', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.1.?', '420.96.0.?', '440.12.0.?', '660.96.0.?', '770.6.0.?', '840.192.1.?', '924.96.0.?', '1320.192.1.?', '1540.12.0.?', '1848.192.1.?', '2310.24.0.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8433724173517561714614049009', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 24255], [3, 2, 8624], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78882757339851605084988820146', 'prec': 103}, 'szpiro_ratio': 4.615695932171928, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2413134
    {'Ciso': '388080iu', 'Clabel': '388080iu7', 'Cnumber': 7, 'abc_quality': 1.0164423875989748, 'absD': 97078154381654676741181440000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, 769756533, 12535851284026], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 254803968, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2466892977141730136322740530', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [143584693754978072519, 276341298967965000], 'lmfdb_iso': '388080.iu', 'lmfdb_label': '388080.iu8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 109092, -21141182], 'min_quad_twist_disc': -84, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.3', '56.12.0-4.c.1.2', '84.48.0.?', '120.96.0.?', '132.48.0.?', '168.96.0.?', '264.96.1.?', '440.12.0.?', '840.192.1.?', '924.96.0.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.120469008221074057536858811', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4851], [3, 8, 3920], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0312808982925162059647429414', 'prec': 100}, 'szpiro_ratio': 5.738018777950234, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}