-
ec_curvedata • Show schema
Hide schema
{'Ciso': '672h', 'Clabel': '672h1', 'Cnumber': 1, 'abc_quality': 1.0555982735754514, 'absD': 254016, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [0, 1, 0, -22, -40], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 672, 'degree': 64, 'elladic_images': ['8.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.24762680716358883120227511625', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [19248832, 3969], 'lmfdb_iso': '672.h', 'lmfdb_label': '672.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -22, 40], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.a.1.1', '28.24.0-28.a.1.2', '56.48.0-56.b.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.59420039744356148591089117698', 'prec': 107}, 'szpiro_ratio': 3.2152094325661134, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, -4, 0], 'aplist': [0, 1, 2, 1, 0, 2, 2, -4, 0, 6, 0, 6, -6, -8, -8, 6, 12, 10, -16, 8, -6, -8, 12, -14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 672, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '672.h', 'trace_hash': 1008207659774182763}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '1.6409143456772485130341312813', 'prec': 100}, 'conductor': 672, 'gens': [], 'heights': [], 'lmfdb_label': '672.h3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.2280058144292069360286844194', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2280058144292069360286844194131506895', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2, 0, 1], [5, 0, 1]], 'xcoord_integral_points': [-4, -2, 5]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [1, 0], '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '672.h3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 31134
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 4]}
-
id: 31135
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 4]}
-
id: 31136
{'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 4]}
-
id: 31139
{'degree': 8, 'field': [-48, 0, 512, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 6]}
-
id: 31138
{'degree': 8, 'field': [1, 0, -508, 0, 258, 0, -4, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 8]}
-
id: 31137
{'degree': 8, 'field': [16, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [4, 4]}
-
id: 31140
{'degree': 16, 'field': [1, 0, 0, 0, 148, 0, 0, 0, 4326, 0, 0, 0, 148, 0, 0, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 8]}
-
id: 31141
{'degree': 16, 'field': [3969, 0, -7056, 0, 3640, 0, -2072, 0, 1710, 0, 80, 0, 24, 0, -8, 0, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 8]}
-
id: 31142
{'degree': 16, 'field': [17613, -40320, 23988, -13356, 29376, -20144, -676, -1412, 13574, -14192, 6500, -1036, -320, 176, -20, -4, 1], 'lmfdb_label': '672.h3', 'torsion': [2, 12]}
-
ec_localdata • Show schema
Hide schema
-
id: 8254
{'conductor': 672, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '672.h3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 8255
{'conductor': 672, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '672.h3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
-
id: 8256
{'conductor': 672, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '672.h3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 1668970
{'adelic_gens': [[29, 2, 0, 1], [51, 2, 22, 55], [11, 52, 26, 53], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.48.0.?', 'conductor': 672, 'lmfdb_label': '672.h3', 'prime': 0}
-
id: 3064
{'conductor': 672, 'elladic_image': '8.24.0.2', 'lmfdb_label': '672.h3', 'modell_image': '2Cs', 'prime': 2}
-
lmfdb_iso 672.h does not appear in ec_padic