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ec_curvedata • Show schema
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{'Ciso': '330b', 'Clabel': '330b1', 'Cnumber': 1, 'abc_quality': 0.921271538093497, 'absD': 126720, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [1, 0, 0, 5, 17], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 330, 'degree': 32, 'elladic_images': ['8.24.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.33963213035751433143965353207', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13651919, 126720], 'lmfdb_iso': '330.e', 'lmfdb_label': '330.e5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 5, 17], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '48.48.0-48.h.1.15', '80.48.0.?', '110.6.0.?', '120.48.0.?', '176.48.0.?', '220.24.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33963213035751433143965353207', 'prec': 107}, 'szpiro_ratio': 3.300530377749889, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, -1, 1, -2, 0, 1, 1, 2, 1, -4, 1], 'aplist': [1, 1, 1, 0, -1, -2, 2, -4, 0, -2, 0, -2, 2, -12, 8, 6, -12, 6, 4, 0, -6, -16, 4, 10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 330, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '330.e', 'trace_hash': 1225769058579668317}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.9724260069502617237108061578', 'prec': 100}, 'conductor': 330, 'gens': [], 'heights': [], 'lmfdb_label': '330.e5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.4188689938090160459002747278', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4188689938090160459002747277845553488', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[2, 5, 1]], 'xcoord_integral_points': [-2, 2]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [1, 0], '5': [1, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '330.e5'}
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ec_torsion_growth • Show schema
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id: 13907
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '330.e5', 'torsion': [8]}
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id: 13908
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '330.e5', 'torsion': [8]}
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id: 13906
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '330.e5', 'torsion': [2, 4]}
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id: 13909
{'degree': 4, 'field': [34, -23, 5, -1, 1], 'lmfdb_label': '330.e5', 'torsion': [2, 8]}
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id: 13914
{'degree': 8, 'field': [-45, -210, -80, -204, -24, -2, -12, 0, 1], 'lmfdb_label': '330.e5', 'torsion': [12]}
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id: 13913
{'degree': 8, 'field': [10, 100, 385, 70, 1, -8, 19, -2, 1], 'lmfdb_label': '330.e5', 'torsion': [16]}
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id: 13911
{'degree': 8, 'field': [676, 0, -131, 0, 431, 0, -41, 0, 1], 'lmfdb_label': '330.e5', 'torsion': [2, 8]}
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id: 13912
{'degree': 8, 'field': [2062, -1820, 313, 118, -203, 136, -29, -2, 1], 'lmfdb_label': '330.e5', 'torsion': [16]}
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id: 13910
{'degree': 8, 'field': [15376, -248, 2, 490, -239, -10, 8, -4, 1], 'lmfdb_label': '330.e5', 'torsion': [4, 4]}
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id: 13919
{'degree': 16, 'field': [-7359, -311289, 31986, 594999, 1065222, 659673, 172312, -26747, -12198, 2001, -606, -1239, -66, 111, -12, -5, 1], 'lmfdb_label': '330.e5', 'torsion': [24]}
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id: 13917
{'degree': 16, 'field': [1384, 4160, 6649, 12170, 58239, 55052, 49069, -37146, -11477, 7656, 2651, -1002, -19, 76, -1, -6, 1], 'lmfdb_label': '330.e5', 'torsion': [2, 16]}
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id: 13916
{'degree': 16, 'field': [7516, 8092, 41461, -19742, 32259, -22112, 19417, -6666, 5191, -660, 527, 174, 89, -40, 35, -6, 1], 'lmfdb_label': '330.e5', 'torsion': [2, 16]}
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id: 13920
{'degree': 16, 'field': [121900, -80800, 258900, -88145, 117440, -7935, 16699, -7534, -2655, 4370, -398, -141, 98, -35, 15, -4, 1], 'lmfdb_label': '330.e5', 'torsion': [24]}
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id: 13915
{'degree': 16, 'field': [207936, -700416, 1179648, -1409856, 1167472, -630560, 280352, -119808, 35580, -1168, -3568, 1820, -403, 14, 18, -6, 1], 'lmfdb_label': '330.e5', 'torsion': [4, 8]}
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id: 13918
{'degree': 16, 'field': [589824, 0, -734208, 0, 1423360, 0, -91776, 0, 7680, 0, 956, 0, -192, 0, 0, 0, 1], 'lmfdb_label': '330.e5', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 3105
{'conductor': 330, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '330.e5', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 3106
{'conductor': 330, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '330.e5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 3107
{'conductor': 330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '330.e5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3108
{'conductor': 330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '330.e5', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1667167
{'adelic_gens': [[1, 16, 660, 661], [1, 16, 0, 1], [15, 2, 2542, 2627], [1072, 5, 2595, 2626], [1, 0, 16, 1], [1688, 1, 2479, 10], [893, 16, 1504, 2325], [2321, 16, 1586, 1887], [5, 4, 2636, 2637], [2625, 16, 2624, 17]], 'adelic_image': '2640.192.1.?', 'conductor': 330, 'lmfdb_label': '330.e5', 'prime': 0}
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id: 1379
{'conductor': 330, 'elladic_image': '8.24.0.45', 'lmfdb_label': '330.e5', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 330.e does not appear in ec_padic