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ec_curvedata • Show schema
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{'Ciso': '8280b', 'Clabel': '8280b1', 'Cnumber': 1, 'abc_quality': 0.7574349372811522, 'absD': 3179520, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2760, 'ainvs': [0, 0, 0, -123, 518], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8280, 'degree': 1280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.049019126015515837970445124321', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [7443468, 115], 'lmfdb_iso': '8280.h', 'lmfdb_label': '8280.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -123, 518], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '690.6.0.?', '920.6.0.?', '2760.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80325659661813267605939295279', 'prec': 107}, 'szpiro_ratio': 2.887532273608866, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, 0, -1, 0, 4, 4, 4, 4, 1, 6, 4, -2, 0, -4, 0, 6, 6, -4, 4, 4, -2, 10, -18, 2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 8280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8280.h', 'trace_hash': 1970297174918965344}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.90661422325522367624457267424', 'prec': 103}, 'conductor': 8280, 'gens': [], 'heights': [], 'lmfdb_label': '8280.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.5272759298768499931326912220', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5272759298768499931326912220198760039', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[7, 0, 1]], 'xcoord_integral_points': [7]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '8280.h2'}
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ec_torsion_growth • Show schema
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id: 433063
{'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '8280.h2', 'torsion': [2, 2]}
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id: 433064
{'degree': 4, 'field': [19, 10, -9, -2, 1], 'lmfdb_label': '8280.h2', 'torsion': [4]}
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id: 433067
{'degree': 8, 'field': [-192, 0, 0, 0, 48, 0, 28, 0, 1], 'lmfdb_label': '8280.h2', 'torsion': [6]}
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id: 433066
{'degree': 8, 'field': [4356, 0, -3924, 0, 957, 0, -66, 0, 1], 'lmfdb_label': '8280.h2', 'torsion': [2, 4]}
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id: 433065
{'degree': 8, 'field': [289786, -87074, -41921, 9052, 2674, -146, -74, -2, 1], 'lmfdb_label': '8280.h2', 'torsion': [2, 4]}
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id: 433069
{'degree': 16, 'field': [324, 0, -801144, 0, 624060, 0, -353772, 0, 103680, 0, -21732, 0, 132, 0, 0, 0, 1], 'lmfdb_label': '8280.h2', 'torsion': [2, 6]}
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id: 433068
{'degree': 16, 'field': [2500, 0, -52688, 0, 89432, 0, -80432, 0, 16480, 0, 680, 0, -196, 0, -16, 0, 1], 'lmfdb_label': '8280.h2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 172211
{'conductor': 8280, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '8280.h2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 172212
{'conductor': 8280, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '8280.h2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 172213
{'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8280.h2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 172214
{'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8280.h2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1718732
{'adelic_gens': [[1, 0, 4, 1], [2757, 4, 2756, 5], [3, 4, 8, 11], [2402, 1, 1559, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1381, 4, 2, 9], [1844, 1, 919, 0], [554, 1, 1103, 0], [1729, 1036, 344, 2415]], 'adelic_image': '2760.12.0.?', 'conductor': 8280, 'lmfdb_label': '8280.h2', 'prime': 0}
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id: 40581
{'conductor': 8280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8280.h2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 8280.h does not appear in ec_padic