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ec_curvedata • Show schema
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{'Ciso': '7392c', 'Clabel': '7392c3', 'Cnumber': 3, 'abc_quality': 0.959774874827451, 'absD': 146660709888, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 1, 0, -5992, 175592], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7392, 'degree': 9216, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98091628082900617279801918441', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [46477380430664, 286446699], 'lmfdb_iso': '7392.l', 'lmfdb_label': '7392.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -5992, -175592], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.ba.1.8', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 11], [3, 4, 2464], [7, 8, 1056], [11, 12, 672]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46105589540904719073509509332', 'prec': 103}, 'szpiro_ratio': 4.233010916703148, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 2, 0, -1, 0, 1, 0, -1, 0, -2, 0, 2, 0, 6, 0, 0, 0], 'aplist': [0, 1, 2, -1, -1, -2, 6, 0, 8, 6, -4, -2, 6, -8, 8, 2, 4, -2, -12, 0, 10, 0, 4, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 7392, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '7392.l', 'trace_hash': 1363942585541832277}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14060052555640921137826861860', 'prec': 103}, 'conductor': 7392, 'gens': [], 'heights': [], 'lmfdb_label': '7392.l2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0360605663698053962233282071', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1081816991094161886699846212920571713', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[74, 378, 1]], 'xcoord_integral_points': [47, 74]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '7': [0, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '7392.l2'}
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ec_torsion_growth • Show schema
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id: 388516
{'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '7392.l2', 'torsion': [2, 4]}
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id: 388517
{'degree': 4, 'field': [1078, 0, -98, 0, 1], 'lmfdb_label': '7392.l2', 'torsion': [8]}
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id: 388521
{'degree': 8, 'field': [-243, 0, -568, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '7392.l2', 'torsion': [12]}
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id: 388519
{'degree': 8, 'field': [4356, 0, 2904, 0, 2002, 0, -44, 0, 1], 'lmfdb_label': '7392.l2', 'torsion': [2, 8]}
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id: 388520
{'degree': 8, 'field': [6801, -876, -12416, -3604, 2156, 236, -88, -4, 1], 'lmfdb_label': '7392.l2', 'torsion': [2, 8]}
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id: 388518
{'degree': 8, 'field': [1159929, 0, 12940, 0, -2150, 0, 4, 0, 1], 'lmfdb_label': '7392.l2', 'torsion': [4, 4]}
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id: 388523
{'degree': 16, 'field': [64662057, 57085020, -19450728, -2682156, 10714762, 1011968, -2718892, -69084, 258832, 29356, -19136, -2564, 1234, 144, -64, -4, 1], 'lmfdb_label': '7392.l2', 'torsion': [2, 12]}
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id: 388522
{'degree': 16, 'field': [1350439223056, 0, -491068808384, 0, 47375840512, 0, -2184717920, 0, 71100568, 0, -2026640, 0, 40768, 0, -392, 0, 1], 'lmfdb_label': '7392.l2', 'torsion': [16]}
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ec_localdata • Show schema
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id: 152410
{'conductor': 7392, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7392.l2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 152411
{'conductor': 7392, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '7392.l2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 152412
{'conductor': 7392, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7392.l2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 152413
{'conductor': 7392, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7392.l2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1712951
{'adelic_gens': [[52, 1, 167, 6], [89, 8, 92, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 258, 259], [168, 41, 25, 12], [257, 8, 256, 9], [168, 41, 91, 78]], 'adelic_image': '264.48.0.?', 'conductor': 7392, 'lmfdb_label': '7392.l2', 'prime': 0}
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id: 36482
{'conductor': 7392, 'elladic_image': '4.12.0.7', 'lmfdb_label': '7392.l2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 7392.l does not appear in ec_padic