Elliptic curve isogeny class data - 112710.j

Formats: - HTML - YAML - JSON - 2026-06-18T07:01:51.384759

• 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, -1, -1, 1, 1, 1, -4, -1, 1, -1, 0, -1, -1, 4, -1, 1, 0, -1, 4, 1], 'aplist': [-1, -1, 1, -4, 0, -1, 0, 4, -8, -2, 8, -2, 6, 12, 0, 10, 0, 10, -4, 16, 6, 8, -4, -14, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 112710, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '112710.j', 'trace_hash': 1003809986156388335}
• lmfdb_iso 112710.j 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 737914
    {'Ciso': '112710j', 'Clabel': '112710j4', 'Cnumber': 4, 'abc_quality': 1.0375259015845228, 'absD': 244754949660000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -25006742, 48121568244], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 6553600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6138701489989551467174662286', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [71647584155243142409, 10140000], 'lmfdb_iso': '112710.j', 'lmfdb_label': '112710.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86529, 9789652], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.s.1', '40.12.0.bb.1', '120.24.0.?', '136.12.0.?', '204.12.0.?', '408.24.0.?', '680.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 867], [3, 4, 37570], [5, 6, 11271], [13, 14, 8670], [17, 146, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1972634769708471065926989197', 'prec': 100}, 'szpiro_ratio': 5.391547413557523, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 737913
    {'Ciso': '112710j', 'Clabel': '112710j3', 'Cnumber': 3, 'abc_quality': 1.0249994992810711, 'absD': 255179245063701947040, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -1794262, 514103476], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 6553600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6138701489989551467174662286', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [26465989780414729, 10571870144160], 'lmfdb_iso': '112710.j', 'lmfdb_label': '112710.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6209, 104276], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0.v.1', '120.24.0.?', '136.12.0.?', '340.12.0.?', '408.24.0.?', '680.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1445], [3, 4, 37570], [5, 6, 11271], [13, 14, 8670], [17, 146, 390]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1972634769708471065926989197', 'prec': 100}, 'szpiro_ratio': 4.712105821324034, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 737912
    {'Ciso': '112710j', 'Clabel': '112710j2', 'Cnumber': 2, 'abc_quality': 1.0072076908890615, 'absD': 158836172131353600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -1563062, 751268436], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 3276800, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2672965587189824920088501678', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [17496824387403529, 6580454400], 'lmfdb_iso': '112710.j', 'lmfdb_label': '112710.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5409, 152596], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.b.1', '40.12.0.a.1', '60.12.0.b.1', '120.24.0.?', '136.12.0.?', '204.12.0.?', '340.12.0.?', '408.24.0.?', '680.24.0.?', '1020.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 37570], [5, 6, 11271], [13, 14, 8670], [17, 146, 390]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85068988669087445188408285886', 'prec': 103}, 'szpiro_ratio': 4.676529763634542, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 737911
    {'Ciso': '112710j', 'Clabel': '112710j1', 'Cnumber': 1, 'abc_quality': 0.9770311172779014, 'absD': 64161041523671040, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -83382, 15275604], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112710, 'degree': 1638400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9207229684390098373002341071', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [-2656166199049, 2658140160], 'lmfdb_iso': '112710.j', 'lmfdb_label': '112710.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 3092], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '30.6.0.a.1', '40.12.0.bb.1', '60.12.0.g.1', '120.24.0.?', '136.12.0.?', '204.12.0.?', '340.12.0.?', '408.24.0.?', '680.24.0.?', '1020.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4335], [3, 4, 37570], [5, 6, 11271], [13, 14, 8670], [17, 146, 390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50411629641090179717546679816', 'prec': 103}, 'szpiro_ratio': 4.006957243584789, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}