-
ec_curvedata • Show schema
Hide schema
{'Ciso': '23520bf', 'Clabel': '23520bf4', 'Cnumber': 4, 'abc_quality': 1.0816058099434143, 'absD': 576348333120000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, -1, 0, -5000940016, 136122808277716], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 23520, 'degree': 10321920, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7329426324155456697255461393', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [229625675762164624948320008, 9568125], 'lmfdb_iso': '23520.m', 'lmfdb_label': '23520.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -102060000, 396888659352], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.bb.1.13', '56.24.0-56.ba.1.4', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '35.777736867760442437399332426', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2401271724679300351099456765', 'prec': 100}, 'szpiro_ratio': 7.809989294031595, '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, 6, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, -1, -1, 0, 4, 6, -6, -4, 4, -2, 8, 6, -6, -8, 0, 6, -4, -10, -8, -12, 14, 16, -12, -14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 23520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '23520.m', 'trace_hash': 1619553031832454074}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.00057227823224986837476461129325', 'prec': 113}, 'conductor': 23520, 'gens': [[3999490642248225, 242116684475079417445702, 132017]], 'heights': [{'__RealLiteral__': 0, 'data': '35.777736867760442437399332426', 'prec': 100}], 'lmfdb_label': '23520.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12750598628775487244879132581', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5618756264675649336656701601991336108', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[40836, 2450, 1]], 'xcoord_integral_points': [40829, 40836]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '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': '23520.m1'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 1190028
{'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '23520.m1', 'torsion': [2, 4]}
-
id: 1190029
{'degree': 4, 'field': [42, 0, -14, 0, 1], 'lmfdb_label': '23520.m1', 'torsion': [8]}
-
id: 1190033
{'degree': 8, 'field': [-9408, 0, 5824, 0, 336, 0, 0, 0, 1], 'lmfdb_label': '23520.m1', 'torsion': [12]}
-
id: 1190032
{'degree': 8, 'field': [36, 0, -360, 0, 664, 0, -52, 0, 1], 'lmfdb_label': '23520.m1', 'torsion': [2, 8]}
-
id: 1190031
{'degree': 8, 'field': [694, -536, 752, -464, 313, -100, 38, -4, 1], 'lmfdb_label': '23520.m1', 'torsion': [2, 8]}
-
id: 1190030
{'degree': 8, 'field': [1849, 0, -500, 0, 90, 0, 4, 0, 1], 'lmfdb_label': '23520.m1', 'torsion': [4, 4]}
-
id: 1190035
{'degree': 16, 'field': [196, 0, 27477632, 0, 2124640, 0, -488488, 0, -85316, 0, 11648, 0, 340, 0, -52, 0, 1], 'lmfdb_label': '23520.m1', 'torsion': [2, 12]}
-
id: 1190034
{'degree': 16, 'field': [75969140625, 0, -81033750000, 0, 25274812500, 0, -3098025000, 0, 149861250, 0, -3108000, 0, 37100, 0, -280, 0, 1], 'lmfdb_label': '23520.m1', 'torsion': [16]}
-
ec_localdata • Show schema
Hide schema
-
id: 538227
{'conductor': 23520, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '23520.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 538228
{'conductor': 23520, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '23520.m1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
id: 538229
{'conductor': 23520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '23520.m1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 538230
{'conductor': 23520, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '23520.m1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
ec_galrep • Show schema
Hide schema
-
id: 1821159
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [64, 3, 61, 2], [7, 6, 162, 163], [64, 155, 25, 54], [161, 8, 160, 9], [113, 108, 110, 23], [1, 4, 4, 17], [44, 167, 1, 162]], 'adelic_image': '168.48.0.?', 'conductor': 23520, 'lmfdb_label': '23520.m1', 'prime': 0}
-
id: 108118
{'conductor': 23520, 'elladic_image': '4.12.0.7', 'lmfdb_label': '23520.m1', 'modell_image': '2B', 'prime': 2}
-
ec_padic • Show schema
Hide schema
-
id: 1112288
{'lmfdb_iso': '23520.m', 'p': 11, 'prec': 20, 'unit': 25781240847184697272, 'val': 1}
-
id: 1112286
{'lmfdb_iso': '23520.m', 'p': 13, 'prec': 20, 'unit': 212878576901251202164, 'val': 1}
-
id: 1112289
{'lmfdb_iso': '23520.m', 'p': 17, 'prec': 20, 'unit': 34860172021898570550655, 'val': 1}
-
id: 1112290
{'lmfdb_iso': '23520.m', 'p': 19, 'prec': 20, 'unit': 881377075692187119081063, 'val': 1}
-
id: 1112293
{'lmfdb_iso': '23520.m', 'p': 23, 'prec': 20, 'unit': 7227256954949062213178391, 'val': 1}
-
id: 1112285
{'lmfdb_iso': '23520.m', 'p': 29, 'prec': 20, 'unit': 3402615149182646008308895068, 'val': 1}
-
id: 1112297
{'lmfdb_iso': '23520.m', 'p': 31, 'prec': 20, 'unit': 3733270559526466524345484683, 'val': 1}
-
id: 1112281
{'lmfdb_iso': '23520.m', 'p': 37, 'prec': 20, 'unit': 204151607230184087496645423668, 'val': 1}
-
id: 1112283
{'lmfdb_iso': '23520.m', 'p': 41, 'prec': 20, 'unit': 1378025967097527496163249133926, 'val': 1}
-
id: 1112284
{'lmfdb_iso': '23520.m', 'p': 43, 'prec': 20, 'unit': 2553453191684451979355234832864, 'val': 1}
-
id: 1112291
{'lmfdb_iso': '23520.m', 'p': 53, 'prec': 20, 'unit': 377980376529605557053868317329696, 'val': 1}
-
id: 1112295
{'lmfdb_iso': '23520.m', 'p': 59, 'prec': 20, 'unit': 880166486921297501268330921911520, 'val': 1}
-
id: 1112296
{'lmfdb_iso': '23520.m', 'p': 61, 'prec': 20, 'unit': 3466137409024507947487743309305975, 'val': 1}
-
id: 1112280
{'lmfdb_iso': '23520.m', 'p': 67, 'prec': 20, 'unit': 1140591690175442422937376562824945, 'val': 1}
-
id: 1112282
{'lmfdb_iso': '23520.m', 'p': 71, 'prec': 20, 'unit': 75856134837232283003821838583299182, 'val': 1}
-
id: 1112292
{'lmfdb_iso': '23520.m', 'p': 73, 'prec': 20, 'unit': 60980672449438821346805598681066456, 'val': 1}
-
id: 1112287
{'lmfdb_iso': '23520.m', 'p': 79, 'prec': 20, 'unit': 910536290601334843232948944853006360, 'val': 1}
-
id: 1112279
{'lmfdb_iso': '23520.m', 'p': 83, 'prec': 20, 'unit': 2297134724040053771723114149589111872, 'val': 1}
-
id: 1112294
{'lmfdb_iso': '23520.m', 'p': 89, 'prec': 20, 'unit': 5859572030017999067789088792925066563, 'val': 1}
-
id: 1112278
{'lmfdb_iso': '23520.m', 'p': 97, 'prec': 20, 'unit': 1545257903955930188422865396360874165, 'val': 1}