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ec_curvedata • Show schema
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{'Ciso': '960o', 'Clabel': '960o2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 19110297600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -1185, -14625], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 960, 'degree': 768, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70800702144224214400885182456', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '960.p', 'lmfdb_label': '960.p6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.2.11', '24.192.1-24.cp.4.1', '40.24.0-40.a.1.1', '60.192.1-60.h.1.16', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, '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': '-0.33171374939767582011699635763', 'prec': 107}, 'szpiro_ratio': 4.783349363673734, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 1, 0, 4, 0, 1, 0, 0, 0, -2, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, 1, 1, 4, 0, -2, 6, -4, 0, 6, -8, -2, -6, -4, 0, 6, 0, 10, -4, 0, 2, -8, 12, 18, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 960, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '960.p', 'trace_hash': 2118015427448264448}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.24267940131489496193696876040', 'prec': 103}, 'conductor': 960, 'gens': [], 'heights': [], 'lmfdb_label': '960.p6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.81910691718318947792851914759', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4573207515495684337855574427775219318', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-15, 0, 1], [39, 0, 1]], 'xcoord_integral_points': [-25, -15, 39]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '960.p6'}
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ec_torsion_growth • Show schema
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id: 46619
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 4]}
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id: 46620
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 6]}
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id: 46623
{'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 12]}
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id: 46621
{'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 4]}
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id: 46622
{'degree': 4, 'field': [25, 0, 0, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 4]}
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id: 46624
{'degree': 6, 'field': [-24, 0, 28, 0, -2, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 12]}
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id: 46628
{'degree': 8, 'field': [1, 0, 0, 0, 7, 0, 0, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 12]}
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id: 46625
{'degree': 8, 'field': [16, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [4, 4]}
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id: 46627
{'degree': 8, 'field': [36, 0, 12, 0, 13, 0, -8, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 12]}
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id: 46626
{'degree': 8, 'field': [256, 0, -256, 0, 90, 0, -16, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 8]}
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id: 46629
{'degree': 12, 'field': [4, 0, -24, 0, 156, 0, 76, 0, 24, 0, 6, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [6, 12]}
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id: 46632
{'degree': 16, 'field': [1, 0, 0, 0, -7, 0, 0, 0, 48, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [4, 12]}
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id: 46633
{'degree': 16, 'field': [16, 0, -128, 0, 904, 0, -896, 0, 640, 0, -176, 0, 34, 0, -8, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 24]}
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id: 46630
{'degree': 16, 'field': [36, 0, 180, 0, 201, 0, -150, 0, -104, 0, 50, 0, 36, 0, -10, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 8]}
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id: 46631
{'degree': 16, 'field': [256, 0, 0, 0, 576, 0, 0, 0, -284, 0, 0, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 8]}
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id: 46634
{'degree': 18, 'field': [2592, 0, 42768, 0, -1296, 0, 9684, 0, 0, 0, 576, 0, 422, 0, 48, 0, 6, 0, 1], 'lmfdb_label': '960.p6', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 13229
{'conductor': 960, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '960.p6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 13230
{'conductor': 960, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '960.p6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 13231
{'conductor': 960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '960.p6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1670666
{'adelic_gens': [[1, 12, 0, 1], [53, 114, 6, 5], [109, 12, 108, 13], [89, 108, 54, 47], [9, 4, 104, 113], [1, 0, 12, 1], [97, 6, 0, 1], [81, 4, 22, 9]], 'adelic_image': '120.384.5.?', 'conductor': 960, 'lmfdb_label': '960.p6', 'prime': 0}
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id: 4531
{'conductor': 960, 'elladic_image': '4.12.0.1', 'lmfdb_label': '960.p6', 'modell_image': '2Cs', 'prime': 2}
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id: 4532
{'conductor': 960, 'elladic_image': '3.4.0.1', 'lmfdb_label': '960.p6', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 960.p does not appear in ec_padic