-
ec_curvedata • Show schema
Hide schema
{'Ciso': '18496c', 'Clabel': '18496c4', 'Cnumber': 4, 'abc_quality': 1.1807067659885138, 'absD': 528480705039302656, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 1088, 'ainvs': [0, 0, 0, -12716, -34980560], 'analytic_rank': 1, 'bad_primes': [2, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 18496, 'degree': 147456, 'elladic_images': ['16.96.0.181'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0796913219266825232931824869', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '18496.i', 'lmfdb_label': '18496.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': 136, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.t.1.3', '16.96.0-16.m.2.4', '68.24.0-4.d.1.2', '136.96.1.?', '272.384.9.?', '544.768.21.?', '1088.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7235603377176118256299269199', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300422', 'prec': 107}, 'szpiro_ratio': 4.912186255021881, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, -2, 0, -4, 0, -3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, -2, -4, 0, 2, 0, 4, -4, 6, -4, -2, 6, -4, 0, -6, 12, -10, -4, 4, 6, -12, 4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 18496, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '18496.i', 'trace_hash': 660783614178894457}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.015617196316654287357027338747', 'prec': 107}, 'conductor': 18496, 'gens': [[376, 3660, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.7235603377176118256299269199', 'prec': 100}], 'lmfdb_label': '18496.i3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13266099441831918594050930923', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0371728240594767089985547998665150640', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[340, 0, 1]], 'xcoord_integral_points': [340, 376]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [3, 1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [3, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '18496.i3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 948590
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [4]}
-
id: 948589
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [2, 2]}
-
id: 948591
{'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [4]}
-
id: 948592
{'degree': 4, 'field': [289, 0, 0, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [2, 4]}
-
id: 948596
{'degree': 8, 'field': [-13872, 0, -4488, 0, -408, 0, 0, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [6]}
-
id: 948594
{'degree': 8, 'field': [4, 0, -14, 0, 21, 0, -10, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [8]}
-
id: 948595
{'degree': 8, 'field': [4, 0, 14, 0, 21, 0, 10, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [8]}
-
id: 948593
{'degree': 8, 'field': [256, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [4, 4]}
-
id: 948597
{'degree': 16, 'field': [1, 0, 0, 0, 17, 0, 0, 0, -32, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [4, 8]}
-
id: 948598
{'degree': 16, 'field': [751689, 0, 0, 0, 137853, 0, 0, 0, 8670, 0, 0, 0, 204, 0, 0, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [2, 6]}
-
id: 948599
{'degree': 16, 'field': [6167193, 11706192, -3856800, -13373730, 1244364, 5529570, -276963, -1143072, 50338, 135958, -7121, -9788, 691, 406, -38, -8, 1], 'lmfdb_label': '18496.i3', 'torsion': [12]}
-
id: 948600
{'degree': 16, 'field': [15264649, 0, 21892682, 0, 10210861, 0, 2442248, 0, 344926, 0, 32318, 0, 1960, 0, 68, 0, 1], 'lmfdb_label': '18496.i3', 'torsion': [12]}
-
ec_localdata • Show schema
Hide schema
-
id: 417078
{'conductor': 18496, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '18496.i3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 417079
{'conductor': 18496, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '18496.i3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
ec_galrep • Show schema
Hide schema
-
id: 1787681
{'adelic_gens': [[1, 64, 0, 1], [174, 863, 739, 498], [9, 124, 756, 745], [1025, 64, 1024, 65], [897, 610, 114, 809], [575, 1076, 0, 1087], [1, 0, 64, 1], [57, 16, 176, 393]], 'adelic_image': '1088.1536.53.?', 'conductor': 18496, 'lmfdb_label': '18496.i3', 'prime': 0}
-
id: 86732
{'conductor': 18496, 'elladic_image': '16.96.0.181', 'lmfdb_label': '18496.i3', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 851891
{'lmfdb_iso': '18496.i', 'p': 5, 'prec': 20, 'unit': 6633536079683, 'val': 1}
-
id: 851892
{'lmfdb_iso': '18496.i', 'p': 7, 'prec': 20, 'unit': 5454787751447186, 'val': 1}
-
id: 851897
{'lmfdb_iso': '18496.i', 'p': 13, 'prec': 20, 'unit': 47773848878900222319, 'val': 2}
-
id: 851888
{'lmfdb_iso': '18496.i', 'p': 19, 'prec': 20, 'unit': 719167550949889267340830, 'val': 1}
-
id: 851902
{'lmfdb_iso': '18496.i', 'p': 23, 'prec': 20, 'unit': 23517344228156228491303165, 'val': 1}
-
id: 851896
{'lmfdb_iso': '18496.i', 'p': 29, 'prec': 20, 'unit': 3496948305529982040856414031, 'val': 1}
-
id: 851893
{'lmfdb_iso': '18496.i', 'p': 31, 'prec': 20, 'unit': 15616176635504158498281321665, 'val': 1}
-
id: 851907
{'lmfdb_iso': '18496.i', 'p': 37, 'prec': 20, 'unit': 478318567480294894823251772521, 'val': 1}
-
id: 851894
{'lmfdb_iso': '18496.i', 'p': 41, 'prec': 20, 'unit': 3586962258834146823798792956902, 'val': 1}
-
id: 851895
{'lmfdb_iso': '18496.i', 'p': 43, 'prec': 20, 'unit': 10391491913349722692962039800989, 'val': 1}
-
id: 851900
{'lmfdb_iso': '18496.i', 'p': 53, 'prec': 20, 'unit': 375451800389446379155054098395355, 'val': 1}
-
id: 851905
{'lmfdb_iso': '18496.i', 'p': 59, 'prec': 20, 'unit': 1245063907265216937004095319562459, 'val': 1}
-
id: 851906
{'lmfdb_iso': '18496.i', 'p': 61, 'prec': 20, 'unit': 4333305073644744130381517292223760, 'val': 1}
-
id: 851890
{'lmfdb_iso': '18496.i', 'p': 67, 'prec': 20, 'unit': 1645900058891817562849135106456803, 'val': 1}
-
id: 851904
{'lmfdb_iso': '18496.i', 'p': 71, 'prec': 20, 'unit': 137774505599193501722236981786657664, 'val': 1}
-
id: 851901
{'lmfdb_iso': '18496.i', 'p': 73, 'prec': 20, 'unit': 97548557605067233296744311759542788, 'val': 1}
-
id: 851898
{'lmfdb_iso': '18496.i', 'p': 79, 'prec': 20, 'unit': 372512458008940866137635405179860364, 'val': 1}
-
id: 851899
{'lmfdb_iso': '18496.i', 'p': 83, 'prec': 20, 'unit': 2508574677035885301277520344214376832, 'val': 1}
-
id: 851903
{'lmfdb_iso': '18496.i', 'p': 89, 'prec': 20, 'unit': 5121110813462663314538712099104626849, 'val': 1}
-
id: 851889
{'lmfdb_iso': '18496.i', 'p': 97, 'prec': 20, 'unit': 48884488266352941759129286493315706044, 'val': 1}