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ec_curvedata • Show schema
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{'Ciso': '120a', 'Clabel': '120a6', 'Cnumber': 6, 'abc_quality': 1.077292860781558, 'absD': 2400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 240, 'ainvs': [0, 1, 0, -80, -2400], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 120, 'degree': 64, 'elladic_images': ['8.48.0.175'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47999886506991459138871606774', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-27995042, 1171875], 'lmfdb_iso': '120.b', 'lmfdb_label': '120.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -80, -2400], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.ba.1.1', '24.96.0-24.bo.1.2', '80.96.0.?', '240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, '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': '-0.15538605044336860891041337693', 'prec': 107}, 'szpiro_ratio': 6.071485050592715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, -4, 0, 6, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, 1, 1, 0, -4, 6, -6, -4, 0, -2, -8, -2, -6, 12, 8, 6, 12, 14, 4, 8, -6, -8, -12, 10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 120, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '120.b', 'trace_hash': 704992717552055982}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.38289375508940997054188040984', 'prec': 103}, 'conductor': 120, 'gens': [], 'heights': [], 'lmfdb_label': '120.b3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.63474713898166649492320321353', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2694942779633329898464064270624422458', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[15, 0, 1]], 'xcoord_integral_points': [15]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '120.b3'}
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ec_torsion_growth • Show schema
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id: 4552
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [4]}
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id: 4553
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [8]}
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id: 4551
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [2, 2]}
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id: 4556
{'degree': 4, 'field': [-6, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [8]}
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id: 4554
{'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [2, 8]}
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id: 4555
{'degree': 4, 'field': [24, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [2, 4]}
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id: 4559
{'degree': 8, 'field': [-3, 0, -28, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [6]}
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id: 4557
{'degree': 8, 'field': [25, 0, 76, 0, -6, 0, 4, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [4, 8]}
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id: 4558
{'degree': 8, 'field': [36, 0, -60, 0, 38, 0, -10, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [16]}
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id: 4561
{'degree': 16, 'field': [1, 0, 0, 0, 66, 0, 0, 0, 491, 0, 0, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [2, 16]}
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id: 4566
{'degree': 16, 'field': [576, -2304, 4608, -4416, 1536, 1824, -2656, 2368, -1040, -48, 328, -256, 164, -84, 32, -8, 1], 'lmfdb_label': '120.b3', 'torsion': [24]}
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id: 4563
{'degree': 16, 'field': [576, 0, 0, 0, 9216, 0, 0, 0, 816, 0, 0, 0, -384, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [16]}
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id: 4565
{'degree': 16, 'field': [1296, 0, -1728, 0, 576, 0, -5616, 0, 1656, 0, -264, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [12]}
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id: 4564
{'degree': 16, 'field': [1296, 0, 1728, 0, 576, 0, 5616, 0, 1656, 0, 264, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [2, 6]}
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id: 4560
{'degree': 16, 'field': [2916, 0, 0, 0, 2592, 0, 0, 0, 564, 0, 0, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [2, 8]}
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id: 4562
{'degree': 16, 'field': [6561, 0, 0, 0, 2916, 0, 0, 0, 711, 0, 0, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '120.b3', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 814
{'conductor': 120, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '120.b3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 815
{'conductor': 120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '120.b3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 816
{'conductor': 120, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '120.b3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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ec_galrep • Show schema
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id: 1666250
{'adelic_gens': [[176, 5, 195, 226], [1, 0, 16, 1], [1, 16, 0, 1], [15, 2, 142, 227], [97, 16, 56, 129], [188, 185, 123, 122], [5, 4, 236, 237], [225, 16, 224, 17], [211, 16, 158, 69]], 'adelic_image': '240.192.1.?', 'conductor': 120, 'lmfdb_label': '120.b3', 'prime': 0}
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id: 438
{'conductor': 120, 'elladic_image': '8.48.0.175', 'lmfdb_label': '120.b3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 120.b does not appear in ec_padic