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ec_curvedata • Show schema
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{'Ciso': '1456l', 'Clabel': '1456l1', 'Cnumber': 1, 'abc_quality': 0.9960228151086609, 'absD': 89808932175872, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 728, 'ainvs': [0, -1, 0, -73736, -7695632], 'analytic_rank': 0, 'bad_primes': [2, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1456, 'degree': 7392, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5643141227133745602710024716', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [-10824513276632329, 21926008832], 'lmfdb_iso': '1456.e', 'lmfdb_label': '1456.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4609, 120244], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['728.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87116694215342925085377035014', 'prec': 103}, 'szpiro_ratio': 6.211597660334436, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 4, 0, 1, 0, -2, 0, 1, 0, 1, 0, -4, 0, 4, 0, -2, 0], 'aplist': [0, -1, 4, 1, 1, 1, 4, -2, 7, -8, -3, 7, -7, 8, -3, 0, 6, -13, -7, -4, 9, 13, 16, -6, 11], 'class_deg': 1, 'class_size': 1, 'conductor': 1456, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1456.e', 'trace_hash': 892717140010932774}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.043777808492000480923523098771', 'prec': 107}, 'conductor': 1456, 'gens': [], 'heights': [], 'lmfdb_label': '1456.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14484264935352044109265379972', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0277970909492861752971531960466998373', 'prec': 130}, 'tamagawa_product': 14, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '1456.e1'}
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ec_torsion_growth • Show schema
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id: 72729
{'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '1456.e1', 'torsion': [2]}
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id: 72730
{'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '1456.e1', 'torsion': [2, 2]}
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id: 72731
{'degree': 8, 'field': [-432, 0, 148, 0, 72, 0, 0, 0, 1], 'lmfdb_label': '1456.e1', 'torsion': [3]}
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id: 72732
{'degree': 12, 'field': [-50552, -61336, -59708, -28020, -7636, 3736, 2240, 480, -114, 38, 25, -5, 1], 'lmfdb_label': '1456.e1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 22372
{'conductor': 1456, 'conductor_valuation': 4, 'discriminant_valuation': 23, 'j_denominator_valuation': 11, 'kodaira_symbol': -19, 'lmfdb_label': '1456.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 22373
{'conductor': 1456, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '1456.e1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 22374
{'conductor': 1456, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1456.e1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[183, 2, 0, 1], [561, 2, 561, 3], [521, 2, 521, 3], [1, 0, 2, 1], [1, 2, 0, 1], [727, 2, 726, 3], [1, 1, 727, 0], [365, 2, 365, 3]], 'adelic_image': '728.2.0.?', 'conductor': 1456, 'lmfdb_label': '1456.e1', 'prime': 0}
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lmfdb_iso 1456.e does not appear in ec_padic