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ec_curvedata • Show schema
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{'Ciso': '966k', 'Clabel': '966k2', 'Cnumber': 2, 'abc_quality': 0.9326884244599662, 'absD': 25039686, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3864, 'ainvs': [1, 0, 0, -27, -249], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 966, 'degree': 360, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.10160051314039977118584174167', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-2181825073, 25039686], 'lmfdb_iso': '966.i', 'lmfdb_label': '966.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -27, -249], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '3864.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10160051314039977118584174167', 'prec': 103}, 'szpiro_ratio': 3.570391759155535, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -3, 1, 1, 1, 1, -3, 0, 1, 5, 1, -3, 1, 0, 1, 8, -3], 'aplist': [1, 1, -3, 1, 0, 5, 0, 8, -1, 3, 2, -7, 9, -1, -3, -12, -6, 14, -4, 6, -4, -16, -12, 6, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 966, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '966.i', 'trace_hash': 2201122788884052914}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.81611416453907423609009308178', 'prec': 103}, 'conductor': 966, 'gens': [], 'heights': [], 'lmfdb_label': '966.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.90398223907536685825088804389', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7119467172261005747526641316763364080', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [1, 1], '7': [1, 0], '23': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '966.i1'}
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ec_torsion_growth • Show schema
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id: 47080
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '966.i1', 'torsion': [3]}
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id: 47082
{'degree': 3, 'field': [-6, 0, 0, 1], 'lmfdb_label': '966.i1', 'torsion': [3]}
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id: 47081
{'degree': 3, 'field': [24, 0, -1, 1], 'lmfdb_label': '966.i1', 'torsion': [2]}
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id: 47084
{'degree': 6, 'field': [48, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '966.i1', 'torsion': [3, 3]}
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id: 47085
{'degree': 6, 'field': [192, -48, 4, 0, -2, 0, 1], 'lmfdb_label': '966.i1', 'torsion': [6]}
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id: 47083
{'degree': 6, 'field': [7056, 2016, 942, 144, 25, -2, 1], 'lmfdb_label': '966.i1', 'torsion': [2, 2]}
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id: 47086
{'degree': 9, 'field': [-1728, 0, 0, 426, 0, 0, -36, 0, 0, 1], 'lmfdb_label': '966.i1', 'torsion': [6]}
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id: 47087
{'degree': 12, 'field': [-139104, 0, -23292, 0, -972, 0, -12, 0, 36, 0, 1, 0, 1], 'lmfdb_label': '966.i1', 'torsion': [4]}
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id: 47088
{'degree': 12, 'field': [6561, -17982, 30573, -36378, 31722, -15078, 3829, 1170, -558, 94, 21, -6, 1], 'lmfdb_label': '966.i1', 'torsion': [2, 6]}
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id: 47090
{'degree': 18, 'field': [4800481, -3293073, -1803105, 2603298, 129420, -1027746, 289950, 189720, -111087, -8461, 24633, -6012, -1446, 1170, -126, -84, 45, -9, 1], 'lmfdb_label': '966.i1', 'torsion': [3, 6]}
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id: 47089
{'degree': 18, 'field': [918330048, 0, 0, -152110224, 0, 0, 11128428, 0, 0, -460782, 0, 0, 11449, 0, 0, -161, 0, 0, 1], 'lmfdb_label': '966.i1', 'torsion': [9]}
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id: 47091
{'degree': 18, 'field': [2149991424, 0, 181948032, -367790976, 16716240, -30165264, 25506102, -1108692, 1377414, -733092, 4518, -7920, 2761, 1650, -957, 196, 15, -6, 1], 'lmfdb_label': '966.i1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 13378
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '966.i1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 13379
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '966.i1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 13380
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '966.i1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 13381
{'conductor': 966, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '966.i1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1670694
{'adelic_gens': [[3859, 6, 3858, 7], [2761, 6, 555, 19], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [2857, 6, 843, 19], [1933, 6, 1935, 19], [1130, 2739, 1, 1450], [967, 6, 0, 1], [1, 6, 0, 1]], 'adelic_image': '3864.16.0.?', 'conductor': 966, 'lmfdb_label': '966.i1', 'prime': 0}
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id: 4563
{'conductor': 966, 'elladic_image': '3.8.0.2', 'lmfdb_label': '966.i1', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 966.i does not appear in ec_padic