Elliptic curve isogeny class data - 138600.eo

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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, 1, 0, 2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 0, 1, 1, 2, 2, 4, 0, -6, -8, 10, 6, 12, -8, -10, -12, -2, 4, 0, 6, 0, -12, -10, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 138600, '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': '138600.eo', 'trace_hash': 361376592751674148}
• lmfdb_iso 138600.eo 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: 901362
    {'Ciso': '138600u', 'Clabel': '138600u5', 'Cnumber': 5, 'abc_quality': 0.9943126197983755, 'absD': 146450111445792000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, -10634475, 13335479750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 6291456, 'elladic_images': ['8.24.0.100'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7843294592887051217989489588', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 118, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5701568801608514, 6277868289], 'lmfdb_iso': '138600.eo', 'lmfdb_label': '138600.eo1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -47264, -3967008], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '60.12.0-4.c.1.1', '88.48.0.?', '112.48.0.?', '120.48.0.?', '1232.96.1.?', '1320.96.0.?', '1680.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8841308235048127024973654853', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 15400], [5, 14, 5544], [7, 8, 19800], [11, 12, 12600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79491944322431688850181722905', 'prec': 103}, 'szpiro_ratio': 5.080722449877927, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 901360
    {'Ciso': '138600u', 'Clabel': '138600u3', 'Cnumber': 3, 'abc_quality': 0.9878179167430496, 'absD': 33212030688144000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -833475, 94328750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 3145728, 'elladic_images': ['8.24.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4377558690087324670903328981', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 118, 'isogeny_degrees': [1, 2, 4], 'jinv': [5489767279588, 2847396321], 'lmfdb_iso': '138600.eo', 'lmfdb_label': '138600.eo2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3704, -29184], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.c.1', '56.48.0.e.2', '60.24.0-4.b.1.1', '88.48.0.?', '120.48.0.?', '616.96.1.?', '840.96.0.?', '1320.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4420654117524063512486827427', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 15400], [5, 14, 5544], [7, 8, 19800], [11, 12, 12600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50610811799100634291130384515', 'prec': 103}, 'szpiro_ratio': 4.435521517415702, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 901359
    {'Ciso': '138600u', 'Clabel': '138600u2', 'Cnumber': 2, 'abc_quality': 1.0318115789288225, 'absD': 113432892804000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -468975, -122548750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 1572864, 'elladic_images': ['8.24.0.25'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0911822787287598123817168374', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 118, 'isogeny_degrees': [1, 2, 4], 'jinv': [3911877700432, 38900169], 'lmfdb_iso': '138600.eo', 'lmfdb_label': '138600.eo3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2084, 35616], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.h.1', '56.48.0.x.2', '60.24.0-4.b.1.3', '88.48.0.?', '120.48.0.?', '308.24.0.?', '616.96.1.?', '840.96.0.?', '1320.96.0.?', '4620.48.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8841308235048127024973654853', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 15400], [5, 14, 5544], [7, 8, 19800], [11, 12, 12600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27505905780435790643889313802', 'prec': 103}, 'szpiro_ratio': 4.2898071732409955, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 901358
    {'Ciso': '138600u', 'Clabel': '138600u1', 'Cnumber': 1, 'abc_quality': 0.9864173969018314, 'absD': 1136693250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, -467850, -123170875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 786432, 'elladic_images': ['16.24.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7446086884487871576731007766', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 118, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62140690757632, 6237], 'lmfdb_iso': '138600.eo', 'lmfdb_label': '138600.eo4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2079, 35802], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.h.1', '56.24.0.bu.2', '60.12.0-4.c.1.2', '88.24.0.?', '112.48.0.?', '120.24.0.?', '154.6.0.?', '176.48.0.?', '240.48.0.?', '308.12.0.?', '616.48.0.?', '840.48.0.?', '1232.96.1.?', '1320.48.0.?', '1680.96.0.?', '2640.96.0.?', '4620.24.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7682616470096254049947309706', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17325], [3, 8, 15400], [5, 14, 5544], [7, 8, 19800], [11, 12, 12600]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15953452771103368820268778437', 'prec': 103}, 'szpiro_ratio': 4.289198593141428, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 901361
    {'Ciso': '138600u', 'Clabel': '138600u4', 'Cnumber': 4, 'abc_quality': 1.0168103364445589, 'absD': 38661465438288000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, -122475, -299610250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 3145728, 'elladic_images': ['16.24.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4377558690087324670903328981', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 118, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-17418812548, 3314597517], 'lmfdb_iso': '138600.eo', 'lmfdb_label': '138600.eo5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -544, 88592], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.h.1', '56.24.0.bv.2', '60.12.0-4.c.1.2', '88.24.0.?', '112.48.0.?', '120.24.0.?', '176.48.0.?', '240.48.0.?', '308.12.0.?', '616.48.0.?', '840.48.0.?', '1232.96.1.?', '1320.48.0.?', '1680.96.0.?', '2640.96.0.?', '4620.24.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7682616470096254049947309706', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17325], [3, 8, 15400], [5, 14, 5544], [7, 8, 19800], [11, 12, 12600]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50610811799100634291130384515', 'prec': 103}, 'szpiro_ratio': 4.439360545524668, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 901363
    {'Ciso': '138600u', 'Clabel': '138600u6', 'Cnumber': 6, 'abc_quality': 1.0115491787230693, 'absD': 2205248713401888000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, 3135525, 733337750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 138600, 'degree': 6291456, 'elladic_images': ['8.24.0.99'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7843294592887051217989489588', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 118, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [146142660369886, 94532266521], 'lmfdb_iso': '138600.eo', 'lmfdb_label': '138600.eo6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 13936, -212640], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '56.48.0.bc.2', '60.12.0-4.c.1.1', '120.48.0.?', '176.48.0.?', '840.96.0.?', '1232.96.1.?', '2640.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8841308235048127024973654853', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 15400], [5, 14, 5544], [7, 8, 19800], [11, 12, 12600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79491944322431688850181722905', 'prec': 103}, 'szpiro_ratio': 4.771253248521702, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}