-
ec_curvedata • Show schema
Hide schema
{'Ciso': '327184m', 'Clabel': '327184m1', 'Cnumber': 1, 'abc_quality': 0.9807992880540953, 'absD': 103498034436898816, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 88, 'ainvs': [0, 1, 0, 8056, 15478516], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 327184, 'degree': 2156544, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9438283490919560831776406784', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [143, 256], 'lmfdb_iso': '327184.m', 'lmfdb_label': '327184.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3, -109], 'min_quad_twist_disc': -52, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '88.4.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2963162285591320701700701896', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 20449], [11, 32, 2704], [13, 74, 1936]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85893428190874214095224033377', 'prec': 107}, 'szpiro_ratio': 3.6723661048083183, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -2, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0], 'aplist': [0, -2, -2, 0, 0, 0, -3, 0, 2, -6, 2, -7, 5, 8, -2, -3, 2, -13, -2, 2, 1, 10, -2, 3, -13], 'class_deg': 1, 'class_size': 1, 'conductor': 327184, 'isogeny_matrix': [[1]], 'lmfdb_iso': '327184.m', 'trace_hash': 478957926463364262}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.020493311831656065927592831943', 'prec': 107}, 'conductor': 327184, 'gens': [[44, 3990, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2963162285591320701700701896', 'prec': 100}], 'lmfdb_label': '327184.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26292195662502007109373506879', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7850356514352280225207512542513728772', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [44]}
-
lmfdb_label 327184.m1 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 13734179
{'degree': 3, 'field': [90, 48, -1, 1], 'lmfdb_label': '327184.m1', 'torsion': [2]}
-
id: 13734180
{'degree': 6, 'field': [8100, 0, 2484, 0, -95, 0, 1], 'lmfdb_label': '327184.m1', 'torsion': [2, 2]}
-
id: 13734181
{'degree': 8, 'field': [-35163, -11286, 6720, 1532, -416, -10, -2, -4, 1], 'lmfdb_label': '327184.m1', 'torsion': [3]}
-
id: 13734182
{'degree': 12, 'field': [-137249, 157514, 56368, -24762, 1272, 10966, 3122, -170, 32, 18, 14, -6, 1], 'lmfdb_label': '327184.m1', 'torsion': [4]}
-
ec_localdata • Show schema
Hide schema
-
id: 8098754
{'conductor': 327184, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '327184.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 8098755
{'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '327184.m1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
-
id: 8098756
{'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '327184.m1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 3712968
{'adelic_gens': [[2, 3, 83, 81], [1, 2, 2, 5], [85, 84, 80, 77], [47, 4, 8, 11], [85, 4, 84, 5], [41, 29, 80, 55], [83, 4, 16, 11], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '88.4.0.?', 'conductor': 327184, 'lmfdb_label': '327184.m1', 'prime': 0}
-
id: 1141055
{'conductor': 327184, 'elladic_image': '4.2.0.1', 'lmfdb_label': '327184.m1', 'modell_image': '2G', 'prime': 2}
-
lmfdb_iso 327184.m does not appear in ec_padic