Elliptic curve isogeny class data - 4800.q

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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, 1, 0, -4, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 0, -4, -2, -2, 4, 8, -6, 8, 6, -6, 4, 0, -2, -4, 2, -4, 8, -10, -8, -4, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 4800, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '4800.q', 'trace_hash': 229465160862369965}
• ec_padic •

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

  
  
  • id: 174471
    {'lmfdb_iso': '4800.q', 'p': 11, 'prec': 20, 'unit': 60943333722651770392, 'val': 1}
  • id: 174469
    {'lmfdb_iso': '4800.q', 'p': 13, 'prec': 20, 'unit': 922415405603380870764, 'val': 1}
  • id: 174472
    {'lmfdb_iso': '4800.q', 'p': 17, 'prec': 20, 'unit': 180113860829963107367475, 'val': 1}
  • id: 174473
    {'lmfdb_iso': '4800.q', 'p': 19, 'prec': 20, 'unit': 539801142108374696039804, 'val': 1}
  • id: 174476
    {'lmfdb_iso': '4800.q', 'p': 23, 'prec': 20, 'unit': 29796951541351757598590756, 'val': 1}
  • id: 174468
    {'lmfdb_iso': '4800.q', 'p': 29, 'prec': 20, 'unit': 3991531822191242864406379211, 'val': 1}
  • id: 174480
    {'lmfdb_iso': '4800.q', 'p': 31, 'prec': 20, 'unit': 19008008477751227472014722077, 'val': 1}
  • id: 174464
    {'lmfdb_iso': '4800.q', 'p': 37, 'prec': 20, 'unit': 277080421457622375752145110018, 'val': 1}
  • id: 174466
    {'lmfdb_iso': '4800.q', 'p': 41, 'prec': 20, 'unit': 78178370229197170775222921662, 'val': 1}
  • id: 174467
    {'lmfdb_iso': '4800.q', 'p': 43, 'prec': 20, 'unit': 6199678019181694952034277908981, 'val': 1}
  • id: 174474
    {'lmfdb_iso': '4800.q', 'p': 53, 'prec': 20, 'unit': 256600103991867580127548212280928, 'val': 1}
  • id: 174478
    {'lmfdb_iso': '4800.q', 'p': 59, 'prec': 20, 'unit': 1801344544841032914144779297821281, 'val': 1}
  • id: 174479
    {'lmfdb_iso': '4800.q', 'p': 61, 'prec': 20, 'unit': 5757220290733134168115710861500975, 'val': 1}
  • id: 174463
    {'lmfdb_iso': '4800.q', 'p': 67, 'prec': 20, 'unit': 24311555777103770251759824145364087, 'val': 1}
  • id: 174465
    {'lmfdb_iso': '4800.q', 'p': 71, 'prec': 20, 'unit': 61205446482722322855712028515695224, 'val': 1}
  • id: 174475
    {'lmfdb_iso': '4800.q', 'p': 73, 'prec': 20, 'unit': 235176514435381451214708143087097272, 'val': 1}
  • id: 174470
    {'lmfdb_iso': '4800.q', 'p': 79, 'prec': 20, 'unit': 196654300069466970503936320003464961, 'val': 1}
  • id: 174462
    {'lmfdb_iso': '4800.q', 'p': 83, 'prec': 20, 'unit': 188297028266587737628418663688779448, 'val': 1}
  • id: 174477
    {'lmfdb_iso': '4800.q', 'p': 89, 'prec': 20, 'unit': 10570817693786707543189067791182890002, 'val': 1}
  • id: 174461
    {'lmfdb_iso': '4800.q', 'p': 97, 'prec': 20, 'unit': 14477952280761062775290147554772464598, '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
  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: 29535
    {'Ciso': '4800c', 'Clabel': '4800c5', 'Cnumber': 5, 'abc_quality': 1.2105879594055395, 'absD': 18432000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, -38433, -2887263], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4800, 'degree': 8192, 'elladic_images': ['16.48.0.210'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1990874409771108787672171720', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '4800.q', 'lmfdb_label': '4800.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '16.48.0.l.1', '20.12.0-4.c.1.1', '24.48.0.bf.1', '40.48.0-8.r.1.1', '48.96.1.bv.1', '80.96.0.?', '120.96.0.?', '240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4996460922562180470108665382', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 1600], [5, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800001', 'prec': 107}, 'szpiro_ratio': 5.1063884863066304, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29534
    {'Ciso': '4800c', 'Clabel': '4800c4', 'Cnumber': 4, 'abc_quality': 1.0561716345991692, 'absD': 3072000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, -6433, 200737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4800, 'degree': 4096, 'elladic_images': ['16.48.0.127'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85251385069713822405860111124', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '4800.q', 'lmfdb_label': '4800.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0.h.1', '16.48.0.bb.2', '24.48.0.bn.1', '40.48.0-8.bb.2.7', '48.96.1.em.1', '80.96.0.?', '120.96.0.?', '240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2498230461281090235054332691', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 1600], [5, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 4.473771430076698, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29533
    {'Ciso': '4800c', 'Clabel': '4800c3', 'Cnumber': 3, 'abc_quality': 1.0321229303519712, 'absD': 82944000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 120, 'ainvs': [0, -1, 0, -2433, -43263], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4800, 'degree': 4096, 'elladic_images': ['8.48.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85251385069713822405860111124', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [1556068, 81], 'lmfdb_iso': '4800.q', 'lmfdb_label': '4800.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, -36], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.e.2', '20.24.0-4.b.1.2', '24.96.1.bl.2', '40.96.0-8.e.2.5', '120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2498230461281090235054332691', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 1600], [5, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 4.12967462549863, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 29532
    {'Ciso': '4800c', 'Clabel': '4800c2', 'Cnumber': 2, 'abc_quality': 0.972547111469975, 'absD': 2304000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 120, 'ainvs': [0, -1, 0, -433, 2737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4800, 'degree': 2048, 'elladic_images': ['8.48.0.138'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50594026041716556934998505052', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '4800.q', 'lmfdb_label': '4800.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.h.1', '12.24.0.c.1', '24.96.1.bu.1', '40.96.0-8.h.1.1', '120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1249115230640545117527166346', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 1600], [5, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 3.5189734031458157, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 29531
    {'Ciso': '4800c', 'Clabel': '4800c1', 'Cnumber': 1, 'abc_quality': 1.1757189916348774, 'absD': 48000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, 67, 237], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4800, 'degree': 1024, 'elladic_images': ['16.48.0.150'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.15936667013719291464136898979', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '4800.q', 'lmfdb_label': '4800.q5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.ba.1', '12.12.0.g.1', '16.48.0.y.1', '24.48.0.bi.2', '40.48.0-8.ba.1.3', '48.96.1.dt.1', '80.96.0.?', '120.96.0.?', '240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2498230461281090235054332691', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 1600], [5, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 2.9067630580757244, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 29536
    {'Ciso': '4800c', 'Clabel': '4800c6', 'Cnumber': 6, 'abc_quality': 1.1597991410868231, 'absD': 13436928000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, -1, 0, 1567, -175263], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4800, 'degree': 8192, 'elladic_images': ['8.48.0.218'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1990874409771108787672171720', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '4800.q', 'lmfdb_label': '4800.q6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.1', '20.12.0-4.c.1.2', '40.96.0-8.m.1.1', '48.96.1.w.2', '240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4996460922562180470108665382', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 1600], [5, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800001', 'prec': 107}, 'szpiro_ratio': 4.443559868790533, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}