-
ec_curvedata • Show schema
Hide schema
{'Ciso': '4560c', 'Clabel': '4560c4', 'Cnumber': 4, 'abc_quality': 1.0592968988421971, 'absD': 4187585018880, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, -1, 0, -160, 98512], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 10240, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1008417102126695574635841507', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [-445138564, 4089438495], 'lmfdb_iso': '4560.l', 'lmfdb_label': '4560.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -160, -98512], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '20.12.0-4.c.1.2', '40.24.0-40.z.1.10', '76.12.0.?', '152.24.0.?', '190.6.0.?', '380.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52321905974604846628255738282', 'prec': 103}, 'szpiro_ratio': 4.334432117802244, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -1, 0, 1, 0, -4, 0, 1, 0, 4, 0, 2, 0, -1, 0, -6, 0, -1, 0], 'aplist': [0, -1, 1, -4, 4, 2, -6, -1, -4, 6, -8, 10, 2, 0, 4, 2, 12, -2, -4, 0, -14, -8, 0, 2, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '4560.l', 'trace_hash': 1977025163209578751}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.11061678697706619597638598533', 'prec': 103}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.l4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.62381148055050210888276026032', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2476229611010042177655205206465750645', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-47, 0, 1]], 'xcoord_integral_points': [-47]}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '4560.l4'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 237393
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '4560.l4', 'torsion': [4]}
-
id: 237394
{'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '4560.l4', 'torsion': [4]}
-
id: 237392
{'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '4560.l4', 'torsion': [2, 2]}
-
id: 237396
{'degree': 4, 'field': [-380, 0, -10, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [8]}
-
id: 237395
{'degree': 4, 'field': [36, 0, 7, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [2, 4]}
-
id: 237400
{'degree': 8, 'field': [-588, 0, 628, 0, 84, 0, 0, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [6]}
-
id: 237398
{'degree': 8, 'field': [657, 606, 5, 76, 100, 0, 17, -2, 1], 'lmfdb_label': '4560.l4', 'torsion': [8]}
-
id: 237399
{'degree': 8, 'field': [10000, 0, 1000, 0, 320, 0, 10, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [2, 8]}
-
id: 237397
{'degree': 8, 'field': [164025, 0, -22300, 0, 910, 0, 20, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [2, 4]}
-
id: 237405
{'degree': 16, 'field': [-563839, 2675392, -2598896, -186640, 201590, -199416, 188104, -116488, 45755, -13120, 4560, -952, 98, 0, 20, -8, 1], 'lmfdb_label': '4560.l4', 'torsion': [12]}
-
id: 237402
{'degree': 16, 'field': [676, -5876, 26126, -70914, 126721, -154042, 131088, -79022, 32172, -6734, -378, 1154, -344, 42, 14, -8, 1], 'lmfdb_label': '4560.l4', 'torsion': [2, 8]}
-
id: 237406
{'degree': 16, 'field': [5878625, -18180800, 18513760, -199744, -1158202, 1762152, -986552, 296168, -10213, -52768, 21360, -6664, 1778, -336, 68, -8, 1], 'lmfdb_label': '4560.l4', 'torsion': [12]}
-
id: 237401
{'degree': 16, 'field': [69906321, 0, 30883752, 0, -1477382, 0, -536796, 0, 54155, 0, 1284, 0, -322, 0, 12, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [4, 4]}
-
id: 237404
{'degree': 16, 'field': [19028271249, 0, 4907332512, 0, 632653740, 0, 40414464, 0, 1493430, 0, -20384, 0, -2292, 0, 0, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [2, 6]}
-
id: 237403
{'degree': 16, 'field': [21375902025, 0, 4500189900, 0, 229541850, 0, 2924100, 0, -148010, 0, -23180, 0, -1470, 0, -20, 0, 1], 'lmfdb_label': '4560.l4', 'torsion': [16]}
-
ec_localdata • Show schema
Hide schema
-
id: 86836
{'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '4560.l4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 86837
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '4560.l4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 86838
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.l4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
id: 86839
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.l4', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1693675
{'adelic_gens': [[99, 98, 298, 675], [308, 1, 631, 6], [1, 0, 8, 1], [753, 8, 752, 9], [7, 6, 754, 755], [168, 3, 485, 2], [1, 8, 0, 1], [1, 4, 4, 17], [661, 664, 262, 659]], 'adelic_image': '760.48.0.?', 'conductor': 4560, 'lmfdb_label': '4560.l4', 'prime': 0}
-
id: 22658
{'conductor': 4560, 'elladic_image': '8.12.0.6', 'lmfdb_label': '4560.l4', 'modell_image': '2B', 'prime': 2}
-
lmfdb_iso 4560.l does not appear in ec_padic