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ec_curvedata • Show schema
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{'Ciso': '71478z', 'Clabel': '71478z1', 'Cnumber': 1, 'abc_quality': 1.059801592897604, 'absD': 14952459300278217772032, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 114, 'ainvs': [1, -1, 0, -21191782887, 1187411621515645], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 71478, 'degree': 68947200, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2620124873817284129484756431', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [-235484681972809299625, 3345408], 'lmfdb_iso': '71478.p', 'lmfdb_label': '71478.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6522556, 6411180026], 'min_quad_twist_disc': 57, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '57.8.0-3.a.1.2', '114.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, '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': '1.2590071937423065172433301647', 'prec': 100}, 'szpiro_ratio': 7.420879047883532, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 1, 0, -5, 1, 0, 1, -6, 0, 0, 0], 'aplist': [-1, 0, 0, -1, 1, -5, -6, 0, 6, 0, 7, 7, 6, 11, -6, 6, 0, -1, -5, 0, 11, 1, -6, -12, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 71478, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '71478.p', 'trace_hash': 858250724359014700}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00019863830004633410085150670709', 'prec': 113}, 'conductor': 71478, 'gens': [], 'heights': [], 'lmfdb_label': '71478.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.063498768185307628506790506011', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0159802909649220561086480961681464883', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '5': [0, 0, 0], '7': [0, 0], '11': [1, 0], '13': [0, 0], '17': [0, 0], '19': 'a', '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '71478.p1'}
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ec_torsion_growth • Show schema
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id: 3393405
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '71478.p1', 'torsion': [3]}
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id: 3393406
{'degree': 3, 'field': [-12, -6, -1, 1], 'lmfdb_label': '71478.p1', 'torsion': [2]}
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id: 3393409
{'degree': 6, 'field': [-8, 1, -5, 7, -1, -3, 1], 'lmfdb_label': '71478.p1', 'torsion': [6]}
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id: 3393407
{'degree': 6, 'field': [12, 6, -5, -3, 4, -3, 1], 'lmfdb_label': '71478.p1', 'torsion': [2, 2]}
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id: 3393408
{'degree': 6, 'field': [36784, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '71478.p1', 'torsion': [3]}
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id: 3393412
{'degree': 12, 'field': [64, -8, -39, 107, 10, -9, 31, -36, 27, -11, 10, -3, 1], 'lmfdb_label': '71478.p1', 'torsion': [2, 6]}
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id: 3393410
{'degree': 12, 'field': [144, 912, 1812, 1444, 14081, -7524, 1983, -1102, 12, -38, 43, 0, 1], 'lmfdb_label': '71478.p1', 'torsion': [4]}
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id: 3393411
{'degree': 12, 'field': [1317904, 326032, 402096, -63448, 79240, 4836, -2819, 1389, -258, -11, 10, -3, 1], 'lmfdb_label': '71478.p1', 'torsion': [3, 3]}
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id: 3393414
{'degree': 18, 'field': [3823172, -16739664, 22974084, -8457812, -3638100, 4075686, 2119, -1832076, 988713, -15840, -139656, 29544, 10073, -4476, -60, 268, -27, -6, 1], 'lmfdb_label': '71478.p1', 'torsion': [6]}
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id: 3393413
{'degree': 18, 'field': [6131971357, -5028137034, -7480913661, -2780304221, -495149838, 547812249, -23047513, 14532795, 19508667, 2030212, 836295, -4815, 53543, 10203, -1806, 457, 27, -6, 1], 'lmfdb_label': '71478.p1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 1733674
{'conductor': 71478, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '71478.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1733675
{'conductor': 71478, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '71478.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1733676
{'conductor': 71478, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '71478.p1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 1733677
{'conductor': 71478, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '71478.p1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2137018
{'adelic_gens': [[17, 0, 0, 113], [1, 0, 6, 1], [109, 6, 108, 7], [4, 3, 9, 7], [3, 4, 8, 11], [1, 6, 0, 1], [18, 95, 95, 18]], 'adelic_image': '114.16.0.?', 'conductor': 71478, 'lmfdb_label': '71478.p1', 'prime': 0}
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id: 297341
{'conductor': 71478, 'elladic_image': '3.4.0.1', 'lmfdb_label': '71478.p1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 71478.p does not appear in ec_padic
