-
ec_curvedata • Show schema
Hide schema
{'Ciso': '127296df', 'Clabel': '127296df1', 'Cnumber': 1, 'abc_quality': 1.09179180867089, 'absD': 15681098596220928, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 884, 'ainvs': [0, 0, 0, -422028, 105354000], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 127296, 'degree': 1966080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9976258805667630142051130568', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 98, 'isogeny_degrees': [1, 2], 'jinv': [43499078731809, 82055753], 'lmfdb_iso': '127296.du', 'lmfdb_label': '127296.du2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -733, 7804], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '34.6.0.a.1', '52.6.0.c.1', '884.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40859896539279020438164225615', 'prec': 103}, 'szpiro_ratio': 4.29393593153682, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, 4, 0, 2, 0, 0, 0, -6, 0, 1, 0, 0, 0, -1, 0, 8, 0], 'aplist': [0, 0, 4, 2, -6, 1, -1, 8, 4, -6, 2, 8, 0, 4, 0, -6, 0, 10, -8, 2, 0, 0, 4, 2, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 127296, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '127296.du', 'trace_hash': 2151662903580098674}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.018402812714460321976043016168', 'prec': 107}, 'conductor': 127296, 'gens': [], 'heights': [], 'lmfdb_label': '127296.du2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.39294407618895075326437783999', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7153289142674090391725340798376519899', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-750, 0, 1]], 'xcoord_integral_points': [-750]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': 'a', '13': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '127296.du2'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 5795279
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '127296.du2', 'torsion': [2, 2]}
-
id: 5795280
{'degree': 4, 'field': [612, 0, 54, 0, 1], 'lmfdb_label': '127296.du2', 'torsion': [4]}
-
id: 5795283
{'degree': 8, 'field': [-48, 0, -48, 0, -36, 0, 12, 0, 1], 'lmfdb_label': '127296.du2', 'torsion': [6]}
-
id: 5795281
{'degree': 8, 'field': [20736, 0, 486, 0, -207, 0, -54, 0, 1], 'lmfdb_label': '127296.du2', 'torsion': [2, 4]}
-
id: 5795282
{'degree': 8, 'field': [20736, 0, 14688, 0, 2772, 0, 102, 0, 1], 'lmfdb_label': '127296.du2', 'torsion': [2, 4]}
-
id: 5795285
{'degree': 16, 'field': [9451, 17678, -16909, -29418, 15728, 6448, -2405, 11724, -7961, -4368, -1343, 272, 74, 6, 17, -2, 1], 'lmfdb_label': '127296.du2', 'torsion': [2, 6]}
-
id: 5795284
{'degree': 16, 'field': [3829629456, 0, 3498080256, 0, 877535208, 0, 106257096, 0, 6928497, 0, 255906, 0, 5823, 0, 96, 0, 1], 'lmfdb_label': '127296.du2', 'torsion': [8]}
-
ec_localdata • Show schema
Hide schema
-
id: 3138048
{'conductor': 127296, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '127296.du2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 3138049
{'conductor': 127296, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '127296.du2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 3138050
{'conductor': 127296, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '127296.du2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
-
id: 3138051
{'conductor': 127296, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '127296.du2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 2493867
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [881, 4, 880, 5], [210, 1, 779, 0], [613, 4, 342, 9], [665, 222, 220, 663]], 'adelic_image': '884.12.0.?', 'conductor': 127296, 'lmfdb_label': '127296.du2', 'prime': 0}
-
id: 496944
{'conductor': 127296, 'elladic_image': '2.3.0.1', 'lmfdb_label': '127296.du2', 'modell_image': '2B', 'prime': 2}
-
lmfdb_iso 127296.du does not appear in ec_padic