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ec_curvedata • Show schema
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{'Ciso': '294c', 'Clabel': '294c2', 'Cnumber': 2, 'abc_quality': 1.0169154011150379, 'absD': 7471182096, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 56, 'ainvs': [1, 0, 0, -4117, -101935], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 294, 'degree': 384, 'elladic_images': ['8.96.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81548267766540450668553136546', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [65597103937, 63504], 'lmfdb_iso': '294.g', 'lmfdb_label': '294.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -84, 261], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.96.0-8.i.1.5', '28.48.0-28.c.1.4', '56.192.1-56.by.1.2'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15747239686225214586714500626', 'prec': 107}, 'szpiro_ratio': 6.436481896352713, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, -4, 1, -6, 0, 2, 1, -2, 1, 4, 2], 'aplist': [1, 1, 2, 0, -4, -6, -2, 4, 8, -2, 0, -10, 6, -4, 0, 6, -4, -6, 4, 8, -10, 0, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 294, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '294.g', 'trace_hash': 2030211679170208164}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.19574052373314701359778422729', 'prec': 103}, 'conductor': 294, 'gens': [], 'heights': [], 'lmfdb_label': '294.g4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.59604497392510759878181921415', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3841798957004303951272768566139217458', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-38, 19, 1], [74, -37, 1]], 'xcoord_integral_points': [-38, 74]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [3, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '294.g4'}
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ec_torsion_growth • Show schema
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id: 12324
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 4]}
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id: 12325
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 4]}
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id: 12327
{'degree': 4, 'field': [-3, -18, -2, -2, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 8]}
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id: 12328
{'degree': 4, 'field': [2, -8, 9, -2, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 8]}
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id: 12326
{'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [4, 4]}
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id: 12329
{'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 8]}
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id: 12332
{'degree': 8, 'field': [-54, 108, -126, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 6]}
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id: 12331
{'degree': 8, 'field': [16, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [4, 8]}
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id: 12330
{'degree': 8, 'field': [36, -72, 72, -24, 13, -10, 2, -2, 1], 'lmfdb_label': '294.g4', 'torsion': [4, 8]}
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id: 12338
{'degree': 16, 'field': [8, -52, 154, 141, 34, -113, 103, 2, -63, 2, 92, -83, 44, -21, 11, -4, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 12]}
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id: 12335
{'degree': 16, 'field': [256, 0, 0, 0, -1144, 0, 0, 0, 1356, 0, 0, 0, -26, 0, 0, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 16]}
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id: 12333
{'degree': 16, 'field': [256, 0, 1088, 0, 1892, 0, 2004, 0, 1601, 0, 144, 0, -34, 0, -4, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [8, 8]}
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id: 12337
{'degree': 16, 'field': [1296, 0, 2592, 0, -1188, 0, -2407, 0, 1418, 0, -271, 0, 85, 0, -14, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 12]}
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id: 12334
{'degree': 16, 'field': [2304, 0, 1728, 0, 840, 0, -2520, 0, 196, 0, -784, 0, 210, 0, -22, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 16]}
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id: 12336
{'degree': 16, 'field': [5184, 0, 3456, 0, -360, 0, -960, 0, 700, 0, -352, 0, 114, 0, -16, 0, 1], 'lmfdb_label': '294.g4', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 2680
{'conductor': 294, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '294.g4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 2681
{'conductor': 294, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '294.g4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 2682
{'conductor': 294, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '294.g4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1666989
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [33, 48, 16, 53], [5, 20, 30, 11], [5, 4, 52, 53], [49, 8, 48, 9], [49, 54, 26, 5]], 'adelic_image': '56.192.1.?', 'conductor': 294, 'lmfdb_label': '294.g4', 'prime': 0}
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id: 1202
{'conductor': 294, 'elladic_image': '8.96.0.20', 'lmfdb_label': '294.g4', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 294.g does not appear in ec_padic