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ec_curvedata • Show schema
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{'Ciso': '59976t', 'Clabel': '59976t1', 'Cnumber': 1, 'abc_quality': 0.759282993625231, 'absD': 373254158592, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 0, 0, -1911, 13034], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 59976, 'degree': 69120, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91405748199487122627081738150', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [35152, 17], 'lmfdb_iso': '59976.o', 'lmfdb_label': '59976.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4, 0], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '34.6.0.a.1', '68.24.0.f.1', '168.12.0.?', '2856.48.0.?'], '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': '-1.0703018572401371449243030230', 'prec': 103}, 'szpiro_ratio': 3.1158593317000998, '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, -2, 0, 0, 0, 0, 0, 6, 0, -2, 0, 0, 0, 1, 0, 0, 0], 'aplist': [0, 0, -2, 0, 6, -2, 1, 0, -6, 10, -2, 6, -6, -8, 0, 10, -8, -14, 4, -2, 14, -10, 8, -10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 59976, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '59976.o', 'trace_hash': 715126002324641079}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.16071623830976653425844341729', 'prec': 103}, 'conductor': 59976, 'gens': [], 'heights': [], 'lmfdb_label': '59976.o1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.84823595692880174742048087520', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6964719138576034948409617503932721534', 'prec': 130}, 'tamagawa_product': 8, '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', '7': 'a', '17': [3, 0]}, 'iwp0': 3, 'lmfdb_label': '59976.o1'}
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ec_torsion_growth • Show schema
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id: 2881189
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '59976.o1', 'torsion': [2, 2]}
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id: 2881190
{'degree': 4, 'field': [466, 10, -9, -2, 1], 'lmfdb_label': '59976.o1', 'torsion': [4]}
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id: 2881193
{'degree': 8, 'field': [-7012, 11224, -5612, 776, -152, 76, 8, -2, 1], 'lmfdb_label': '59976.o1', 'torsion': [6]}
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id: 2881192
{'degree': 8, 'field': [10816, 0, 225, 0, -241, 0, 15, 0, 1], 'lmfdb_label': '59976.o1', 'torsion': [2, 4]}
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id: 2881191
{'degree': 8, 'field': [11236, 0, -1556, 0, -211, 0, -19, 0, 1], 'lmfdb_label': '59976.o1', 'torsion': [2, 4]}
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id: 2881195
{'degree': 16, 'field': [95860, 297096, 361328, 309080, 106430, 97432, 179448, -92278, 101073, -36194, 18862, -4382, 1564, -222, 62, -4, 1], 'lmfdb_label': '59976.o1', 'torsion': [8]}
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id: 2881194
{'degree': 16, 'field': [605761, 772820, 287844, -5350410, 9272107, -9201066, 6336312, -3161822, 1136288, -281708, 42316, -370, -1421, 354, -24, -6, 1], 'lmfdb_label': '59976.o1', 'torsion': [4, 4]}
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id: 2881196
{'degree': 16, 'field': [9960336, 0, -3485408, 0, -2033840, 0, -1316736, 0, 82424, 0, -31528, 0, 288, 0, -20, 0, 1], 'lmfdb_label': '59976.o1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1444962
{'conductor': 59976, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '59976.o1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1444963
{'conductor': 59976, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '59976.o1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1444964
{'conductor': 59976, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '59976.o1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1444965
{'conductor': 59976, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '59976.o1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2061984
{'adelic_gens': [[1429, 2184, 1092, 169], [358, 273, 2415, 820], [2447, 0, 0, 2855], [1, 0, 8, 1], [1903, 0, 0, 2855], [1, 8, 0, 1], [2143, 2184, 1428, 1], [1, 4, 4, 17], [2849, 8, 2848, 9], [3, 8, 28, 75], [5, 8, 48, 77]], 'adelic_image': '2856.48.0.?', 'conductor': 59976, 'lmfdb_label': '59976.o1', 'prime': 0}
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id: 253618
{'conductor': 59976, 'elladic_image': '4.6.0.3', 'lmfdb_label': '59976.o1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 59976.o does not appear in ec_padic