-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, 2, 0, -1, 0, -3, 0, -4, 0, 2, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, 2, -1, -4, 2, -6, 8, 0, 6, 8, -2, 2, -4, -8, 6, 0, -6, -4, -8, 10, 16, 8, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 56, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '56.a', 'trace_hash': 1158293942075606764}
-
lmfdb_iso 56.a does not appear in ec_padic
-
ec_curvedata • Show schema
Hide schema
-
id: 148
{'Ciso': '56a', 'Clabel': '56a4', 'Cnumber': 4, 'abc_quality': 1.0465382471182303, 'absD': 14336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -299, 1990], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 56, 'degree': 8, 'elladic_images': ['8.24.0.103'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.0020328267985874883465435369936', 'prec': 113}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1443468546, 7], 'lmfdb_iso': '56.a', 'lmfdb_label': '56.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -299, 1990], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.p.1.7', '28.12.0-4.c.1.1', '56.48.0-56.bp.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298166', 'prec': 107}, 'szpiro_ratio': 7.1335217290421475, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
id: 147
{'Ciso': '56a', 'Clabel': '56a3', 'Cnumber': 3, 'abc_quality': 1.1170620055320515, 'absD': 4917248, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -59, -138], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 56, 'degree': 8, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.0020328267985874883465435369944', 'prec': 113}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [11090466, 2401], 'lmfdb_iso': '56.a', 'lmfdb_label': '56.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, -138], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.k.1.1', '56.48.0-56.v.1.8'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298166', 'prec': 107}, 'szpiro_ratio': 5.924007936828446, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
id: 146
{'Ciso': '56a', 'Clabel': '56a2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 50176, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, -19, 30], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 56, 'degree': 4, 'elladic_images': ['8.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.34860641707856014305515959772', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '56.a', 'lmfdb_label': '56.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.a.1.2', '28.24.0-28.b.1.1', '56.48.0-56.d.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636560', 'prec': 107}, 'szpiro_ratio': 5.0795362843162595, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
-
id: 145
{'Ciso': '56a', 'Clabel': '56a1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 1792, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 0, 0, 1, 2], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 56, 'degree': 2, 'elladic_images': ['8.24.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.69518000735853279776377565845', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [432, 7], 'lmfdb_iso': '56.a', 'lmfdb_label': '56.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1, 2], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.p.1.1', '14.6.0.b.1', '28.24.0-28.g.1.2', '56.48.0-56.bn.1.6'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1572781277318296707085970728', 'prec': 103}, 'szpiro_ratio': 3.7038850376835257, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}