Elliptic curve isogeny class data - 960.a

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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, 0, 0, 1, 0, -4, 0, 2, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, -1, -1, 0, -4, 2, 2, 4, 0, 2, 0, 10, 10, 4, -8, 10, -4, 2, 12, 8, 10, 0, 12, -6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 960, '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': '960.a', 'trace_hash': 539569839425448692}
• lmfdb_iso 960.a 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: 4857
    {'Ciso': '960i', 'Clabel': '960i7', 'Cnumber': 7, 'abc_quality': 1.0735374703334082, 'absD': 106168320, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -138241, 19829665], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 2048, 'elladic_images': ['16.96.0.219'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3305903793170194860994838065', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.1', '10.6.0.a.1', '16.96.0-16.x.2.2', '20.12.0.g.1', '40.96.0-40.bj.1.1', '80.192.1.?', '96.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 4, 320], [5, 6, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562431', 'prec': 103}, 'szpiro_ratio': 6.862433311608293, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 4855
    {'Ciso': '960i', 'Clabel': '960i5', 'Cnumber': 5, 'abc_quality': 1.038972011651739, 'absD': 42998169600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, -1, 0, -8641, 311905], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 1024, 'elladic_images': ['8.96.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98401678903704683139086774575', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.k.1.3', '20.24.0.c.1', '40.192.1-40.cc.2.2', '48.192.1-48.e.2.1', '80.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 320], [5, 6, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436437', 'prec': 110}, 'szpiro_ratio': 5.651218373297941, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 4858
    {'Ciso': '960i', 'Clabel': '960i8', 'Cnumber': 8, 'abc_quality': 1.0594919023465201, 'absD': 56422198149120, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -7041, 429345], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 2048, 'elladic_images': ['16.96.0.291'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3305903793170194860994838065', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.ba.2.5', '16.96.0-16.u.2.1', '20.12.0.h.1', '40.96.0-40.bm.2.3', '80.384.5.?', '96.192.1.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 4, 320], [5, 6, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562431', 'prec': 103}, 'szpiro_ratio': 5.745245042156398, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 4853
    {'Ciso': '960i', 'Clabel': '960i3', 'Cnumber': 3, 'abc_quality': 1.030187200332639, 'absD': 3932160, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -5121, -139359], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 512, 'elladic_images': ['32.96.0.85'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.63744319875707417668225168502', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.9', '16.48.0-16.g.1.10', '24.48.0-24.by.2.1', '32.96.0-32.e.1.9', '40.48.0-40.cb.2.5', '48.96.0-48.bs.1.9', '60.12.0.h.1', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 320], [5, 6, 192]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649717', 'prec': 107}, 'szpiro_ratio': 5.4226700322507595, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 4854
    {'Ciso': '960i', 'Clabel': '960i4', 'Cnumber': 4, 'abc_quality': 1.0253374473912513, 'absD': 13271040000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, -1, 0, -641, 3105], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 512, 'elladic_images': ['8.96.0.85'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.63744319875707417668225168502', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [111284641, 50625], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10, -10], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.b.2.10', '24.192.1-24.n.1.4', '40.192.1-40.s.1.8', '80.384.5.?', '120.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 320], [5, 6, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649717', 'prec': 107}, 'szpiro_ratio': 4.515006885322595, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 4852
    {'Ciso': '960i', 'Clabel': '960i2', 'Cnumber': 2, 'abc_quality': 0.9622954410890624, 'absD': 58982400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, -1, 0, -321, -2079], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 256, 'elladic_images': ['16.96.0.79'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562429', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.i.1.12', '16.96.0-16.d.2.6', '24.96.0-24.bb.2.7', '40.96.0-40.bd.1.7', '48.192.1-48.n.1.5', '60.24.0.c.1', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 320], [5, 6, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255790', 'prec': 107}, 'szpiro_ratio': 4.213094674447259, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 4851
    {'Ciso': '960i', 'Clabel': '960i1', 'Cnumber': 1, 'abc_quality': 1.1980768440515948, 'absD': 3932160, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, -1, -95], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 128, 'elladic_images': ['32.96.0.85'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436435', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.9', '16.48.0-16.g.1.10', '24.48.0-24.bz.1.1', '30.6.0.a.1', '32.96.0-32.e.1.9', '40.48.0-40.cb.2.5', '48.96.0-48.bv.1.11', '60.12.0.g.1', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 320], [5, 6, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 3.2968804329692936, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 4856
    {'Ciso': '960i', 'Clabel': '960i6', 'Cnumber': 6, 'abc_quality': 1.0558519748642754, 'absD': 921600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, -1, 0, 2239, 20961], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 1024, 'elladic_images': ['8.96.0.175'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98401678903704683139086774575', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '960.a', 'lmfdb_label': '960.a8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.96.0-8.n.2.6', '12.24.0-4.d.1.2', '24.192.1-24.cv.2.4', '80.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 320], [5, 6, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436437', 'prec': 110}, 'szpiro_ratio': 5.06113992689462, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}