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ec_curvedata • Show schema
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{'Ciso': '3520g', 'Clabel': '3520g1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 15488000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -181, 981], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 3520, 'degree': 1152, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.16514414167132836963257974623', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '3520.bd', 'lmfdb_label': '3520.bd4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': 8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '24.24.0-6.a.1.11', '30.24.0.a.1', '44.6.0.b.1', '120.48.0.?', '132.24.0.?', '220.12.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, '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': '-0.41247850879529272154844702165', 'prec': 107}, 'szpiro_ratio': 3.332585497638183, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, -1, 0, -4, 0, 1, 0, 1, 0, 4, 0, -2, 0, 0, 0, 4, 0], 'aplist': [0, 2, -1, -4, 1, 4, 0, 4, -6, 6, 8, -2, 6, -8, 6, 6, 12, -2, 10, -12, -16, 8, 0, 6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 3520, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '3520.bd', 'trace_hash': 732412337810855045}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.71871650956596668091531684348', 'prec': 103}, 'conductor': 3520, 'gens': [], 'heights': [], 'lmfdb_label': '3520.bd4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.2065619677805357293359030997', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2065619677805357293359030997426434595', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[9, 0, 1]], 'xcoord_integral_points': [9]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '11': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '3520.bd4'}
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ec_torsion_growth • Show schema
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id: 182856
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [6]}
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id: 182855
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3520.bd4', 'torsion': [2, 2]}
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id: 182858
{'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [2, 6]}
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id: 182857
{'degree': 4, 'field': [5, 0, -8, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [4]}
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id: 182859
{'degree': 6, 'field': [6, 0, 16, 0, 2, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [6]}
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id: 182860
{'degree': 8, 'field': [1, 0, 72, 0, 34, 0, 8, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [2, 4]}
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id: 182862
{'degree': 8, 'field': [4, 0, -56, 0, 60, 0, -16, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [12]}
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id: 182861
{'degree': 8, 'field': [81, 0, -180, 0, 107, 0, -20, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [2, 4]}
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id: 182863
{'degree': 12, 'field': [36, 0, -96, 0, 244, 0, -20, 0, -12, 0, -2, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [3, 6]}
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id: 182864
{'degree': 12, 'field': [36, 0, 288, 0, 340, 0, 204, 0, 116, 0, 6, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [2, 6]}
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id: 182867
{'degree': 16, 'field': [-151, 356, 3394, -976, -10938, 1876, 13934, -3228, -8429, 2784, 2378, -1060, -248, 168, -4, -8, 1], 'lmfdb_label': '3520.bd4', 'torsion': [2, 12]}
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id: 182866
{'degree': 16, 'field': [400, 0, 800, 0, 2960, 0, 4320, 0, 1996, 0, 112, 0, 4, 0, 8, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [2, 12]}
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id: 182865
{'degree': 16, 'field': [9025, 0, -139552, 0, 286832, 0, -165848, 0, 41090, 0, -5120, 0, 384, 0, -24, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [8]}
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id: 182868
{'degree': 18, 'field': [-2312, 0, 7472, 0, -4280, 0, -1608, 0, -528, 0, 24, 0, -34, 0, 20, 0, -4, 0, 1], 'lmfdb_label': '3520.bd4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 64326
{'conductor': 3520, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3520.bd4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 64327
{'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3520.bd4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 64328
{'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3520.bd4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1686800
{'adelic_gens': [[659, 0, 0, 1319], [449, 2, 498, 13], [11, 2, 1270, 1311], [1309, 1318, 710, 669], [779, 1308, 714, 1247], [1, 0, 12, 1], [1041, 1262, 694, 919], [1, 6, 6, 37], [1, 12, 0, 1], [671, 1308, 672, 1307], [1309, 12, 1308, 13], [10, 3, 501, 652]], 'adelic_image': '1320.96.1.?', 'conductor': 3520, 'lmfdb_label': '3520.bd4', 'prime': 0}
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id: 17498
{'conductor': 3520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3520.bd4', 'modell_image': '2B', 'prime': 2}
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id: 17499
{'conductor': 3520, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3520.bd4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 3520.bd does not appear in ec_padic