-
ec_curvedata • Show schema
Hide schema
{'Ciso': '960n', 'Clabel': '960n3', 'Cnumber': 3, 'abc_quality': 1.1272974995934528, 'absD': 13271040, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -225, 1215], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 960, 'degree': 256, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18330572519687575041043340293', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [38614472, 405], 'lmfdb_iso': '960.o', 'lmfdb_label': '960.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -56, 180], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.bb.1.4', '40.24.0-40.v.1.3', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.68312825050305588636110674889', 'prec': 107}, 'szpiro_ratio': 4.058048074808396, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 4, 0, -2, 0, 1, 0, -2, 0, 8, 0], 'aplist': [0, 1, 1, 0, 4, -2, -2, 8, -4, 6, 0, -2, -6, 4, 12, 6, 12, -14, -12, 0, 2, 8, -4, 2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 960, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '960.o', 'trace_hash': 419279816181121911}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.69307888826296482708902533330', 'prec': 103}, 'conductor': 960, 'gens': [], 'heights': [], 'lmfdb_label': '960.o1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.2484039195933315178804195132', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2484039195933315178804195131578043601', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[3, 24, 1]], 'xcoord_integral_points': [3, 9]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '960.o1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 46571
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '960.o1', 'torsion': [2, 4]}
-
id: 46572
{'degree': 4, 'field': [40, 0, -8, 0, 1], 'lmfdb_label': '960.o1', 'torsion': [8]}
-
id: 46576
{'degree': 8, 'field': [-3, 0, 32, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '960.o1', 'torsion': [12]}
-
id: 46574
{'degree': 8, 'field': [16, 0, 80, 0, 162, 0, 20, 0, 1], 'lmfdb_label': '960.o1', 'torsion': [2, 8]}
-
id: 46575
{'degree': 8, 'field': [90, 0, -300, -120, 166, 56, -24, -4, 1], 'lmfdb_label': '960.o1', 'torsion': [2, 8]}
-
id: 46573
{'degree': 8, 'field': [121, 0, -116, 0, 26, 0, 4, 0, 1], 'lmfdb_label': '960.o1', 'torsion': [4, 4]}
-
id: 46578
{'degree': 16, 'field': [22500, 0, -72000, 0, 86400, 0, -27400, 0, 3500, 0, -400, 0, 100, 0, -20, 0, 1], 'lmfdb_label': '960.o1', 'torsion': [2, 12]}
-
id: 46577
{'degree': 16, 'field': [22500, 0, -36000, 0, 19200, 0, -2400, 0, 1900, 0, -880, 0, 192, 0, -16, 0, 1], 'lmfdb_label': '960.o1', 'torsion': [16]}
-
ec_localdata • Show schema
Hide schema
-
id: 13220
{'conductor': 960, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '960.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 13221
{'conductor': 960, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '960.o1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
-
id: 13222
{'conductor': 960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '960.o1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1670657
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [49, 48, 118, 55], [113, 8, 112, 9], [56, 3, 5, 2], [72, 7, 53, 66], [7, 6, 114, 115], [41, 8, 44, 33], [1, 4, 4, 17]], 'adelic_image': '120.48.0.?', 'conductor': 960, 'lmfdb_label': '960.o1', 'prime': 0}
-
id: 4517
{'conductor': 960, 'elladic_image': '4.12.0.7', 'lmfdb_label': '960.o1', 'modell_image': '2B', 'prime': 2}
-
lmfdb_iso 960.o does not appear in ec_padic