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ec_curvedata • Show schema
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{'Ciso': '4560u', 'Clabel': '4560u4', 'Cnumber': 4, 'abc_quality': 0.9625253881148601, 'absD': 2001730560000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -3520, -41600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 9216, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0576624883669520905178987708', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [1177918188481, 488703750], 'lmfdb_iso': '4560.k', 'lmfdb_label': '4560.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -220, 650], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.s.1.2', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36451530780700678110066664934', 'prec': 103}, 'szpiro_ratio': 4.286314777600673, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, -4, 0, 1, 0, 4, 0, -2, 0, -1, 0, -2, 0, 1, 0], 'aplist': [0, -1, 1, -4, 4, -2, -2, 1, 8, 6, -4, -10, -2, -12, 0, 6, 0, -10, 4, 8, 2, 12, 8, 6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4560.k', 'trace_hash': 1162779962427262450}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12059409291006267823305268978', 'prec': 103}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.64295475827020151422413311712', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2859095165404030284482662342299814852', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-30, 190, 1]], 'xcoord_integral_points': [-30, 65]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '4560.k2'}
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ec_torsion_growth • Show schema
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id: 238098
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [2, 4]}
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id: 238099
{'degree': 4, 'field': [96, 0, -2, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [8]}
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id: 238103
{'degree': 8, 'field': [-3, 0, 1528, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [12]}
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id: 238100
{'degree': 8, 'field': [25, 0, 76, 0, -6, 0, 4, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [4, 4]}
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id: 238102
{'degree': 8, 'field': [14400, 0, 5760, 0, 436, 0, -28, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [2, 8]}
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id: 238101
{'degree': 8, 'field': [60516, 0, -25200, 0, 3108, 0, -120, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [2, 8]}
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id: 238105
{'degree': 16, 'field': [11451456, 0, 11423808, 0, -293724, 0, -1566864, 0, 226656, 0, -11796, 0, 936, 0, -48, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [2, 12]}
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id: 238104
{'degree': 16, 'field': [2994278400, 0, -499046400, 0, 20903040, 0, -218880, 0, 118656, 0, -9504, 0, 386, 0, -4, 0, 1], 'lmfdb_label': '4560.k2', 'torsion': [16]}
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ec_localdata • Show schema
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id: 87076
{'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '4560.k2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 87077
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.k2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 87078
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4560.k2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 87079
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4560.k2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1693669
{'adelic_gens': [[457, 8, 1828, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [288, 1433, 1987, 1974], [1424, 277, 1421, 1392], [764, 1, 1543, 6], [7, 6, 2274, 2275], [2273, 8, 2272, 9], [1921, 8, 844, 33]], 'adelic_image': '2280.48.0.?', 'conductor': 4560, 'lmfdb_label': '4560.k2', 'prime': 0}
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id: 22652
{'conductor': 4560, 'elladic_image': '4.12.0.7', 'lmfdb_label': '4560.k2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 4560.k does not appear in ec_padic