Elliptic curve isogeny class data - 31680.dg

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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, 4, 10, 4, 2, -2, 4, 4, -2, -4, 14, 12, 4, 10, 0, -4, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 31680, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '31680.dg', 'trace_hash': 1843365040637272135}
• lmfdb_iso 31680.dg 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: 210740
    {'Ciso': '31680br', 'Clabel': '31680br4', 'Cnumber': 4, 'abc_quality': 1.056643341675282, 'absD': 855412538154577920000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -319518732, -2198328096944], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 3932160, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3952432355087692576497494813', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2, 4], 'jinv': [151020262560470148771848, 35809491031875], 'lmfdb_iso': '31680.dg', 'lmfdb_label': '31680.dg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -8875520, 10180403400], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.2', '24.24.0-8.m.1.8', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 8, 320], [5, 6, 6336], [11, 12, 2880]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9795031154747827751805867110', 'prec': 100}, 'szpiro_ratio': 6.789307089824414, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 210738
    {'Ciso': '31680br', 'Clabel': '31680br2', 'Cnumber': 2, 'abc_quality': 1.0506342109235383, 'absD': 13557314151374400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -20043732, -34082166944], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 1966080, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0486696452287966029411334206', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2], 'jinv': [298244193811346574784, 4540317078515625], 'lmfdb_iso': '31680.dg', 'lmfdb_label': '31680.dg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -556770, 157973400], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0-2.a.1.1', '24.24.0-8.b.1.2', '44.12.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 320], [5, 6, 6336], [11, 12, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8062163203347964478262786807', 'prec': 100}, 'szpiro_ratio': 5.987768453396118, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 210737
    {'Ciso': '31680br', 'Clabel': '31680br1', 'Cnumber': 1, 'abc_quality': 1.0654161934626671, 'absD': 767521669921875000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -2465607, 666270556], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 983040, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7020960549488239482325173598', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2, 4], 'jinv': [35529391776305786176, 16450653076171875], 'lmfdb_iso': '31680.dg', 'lmfdb_label': '31680.dg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1095825, -197048223], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0-8.m.1.7', '44.12.0.h.1', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 8, 320], [5, 6, 6336], [11, 12, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8062163203347964478262786806', 'prec': 100}, 'szpiro_ratio': 5.381171138971894, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 210739
    {'Ciso': '31680br', 'Clabel': '31680br3', 'Cnumber': 3, 'abc_quality': 1.118434721712883, 'absD': 3795375251804125777920000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -1818732, -93736236944], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 31680, 'degree': 3932160, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3952432355087692576497494813', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2, 4], 'jinv': [-27851742625371848, 158882936571500625], 'lmfdb_iso': '31680.dg', 'lmfdb_label': '31680.dg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -50520, 433980900], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '12.12.0-4.c.1.1', '24.24.0-8.d.1.1', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 320], [5, 6, 6336], [11, 12, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9795031154747827751805867110', 'prec': 100}, 'szpiro_ratio': 6.180442177459919, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}