Formats: - HTML - YAML - JSON - 2026-07-22T02:48:51.406205
  • ec_classdata • Show schema
    {'anlist': [0, 1, -1, 1, 1, 0, -1, -1, -1, -2, 0, -6, 1, 5, 1, 0, 1, 3, 2, 1, 0], 'aplist': [-1, 1, 0, -1, -6, 5, 3, 1, 3, 9, -4, 2, 0, 8, 0, -3, 9, -10, 5, -6, -7, -10, -6, -12, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 38, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '38.a', 'trace_hash': 1328635374754788503}
  • lmfdb_iso 38.a does not appear in ec_padic
  • ec_curvedata • Show schema
    • id: 81
      {'Ciso': '38a', 'Clabel': '38a2', 'Cnumber': 2, 'abc_quality': 1.054621266416818, 'absD': 2550136832, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [1, 0, 1, -86, -2456], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 38, 'degree': 18, 'elladic_images': ['27.72.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192008', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-69173457625, 2550136832], 'lmfdb_iso': '38.a', 'lmfdb_label': '38.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86, -2456], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '27.72.0-27.a.1.1', '152.2.0.?', '171.72.0.?', '456.16.0.?', '513.648.16.?', '1368.144.3.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [3, 2, 19], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192008', 'prec': 103}, 'szpiro_ratio': 8.007977586282983, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
    • id: 82
      {'Ciso': '38a', 'Clabel': '38a3', 'Cnumber': 3, 'abc_quality': 0.9328072208159958, 'absD': 152, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [1, 0, 1, -16, 22], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 38, 'degree': 18, 'elladic_images': ['27.72.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.61344267771086611044328331685', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-413493625, 152], 'lmfdb_iso': '38.a', 'lmfdb_label': '38.a2', 'lmfdb_number': 2, 'manin_constant': 3, 'min_quad_twist_ainvs': [1, 0, 1, -16, 22], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '27.72.0-27.a.1.2', '152.2.0.?', '171.72.0.?', '456.16.0.?', '513.648.16.?', '1368.144.3.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [3, 2, 19], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61344267771086611044328331685', 'prec': 107}, 'szpiro_ratio': 5.454382877544644, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
    • id: 80
      {'Ciso': '38a', 'Clabel': '38a1', 'Cnumber': 1, 'abc_quality': 1.01874591611381, 'absD': 3511808, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 4104, 'ainvs': [1, 0, 1, 9, 90], 'analytic_rank': 0, 'bad_primes': [2, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 38, 'degree': 6, 'elladic_images': ['9.72.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.064136533376811264745660698385', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [94196375, 3511808], 'lmfdb_iso': '38.a', 'lmfdb_label': '38.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 9, 90], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.b.1.1', '152.2.0.?', '171.216.4.?', '456.48.1.?', '513.648.16.?', '1368.432.13.?', '4104.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 19], [3, 2, 1], [19, 20, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.064136533376811264745660698385', 'prec': 110}, 'szpiro_ratio': 6.188366779495006, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}