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ec_curvedata • Show schema
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{'Ciso': '3264bc', 'Clabel': '3264bc1', 'Cnumber': 1, 'abc_quality': 1.051915192059638, 'absD': 92408905728, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, 1, 0, -2177, -36993], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3264, 'degree': 3072, 'elladic_images': ['16.96.0.239'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705668', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 352512], 'lmfdb_iso': '3264.bc', 'lmfdb_label': '3264.bc5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, 68], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.5', '16.96.0-16.bb.1.5', '34.6.0.a.1', '68.12.0.g.1', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112551', 'prec': 107}, 'szpiro_ratio': 4.285307102956944, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, -4, 0, 2, 0, 2, 0, 1, 0, 4, 0], 'aplist': [0, 1, 2, 0, -4, 2, 1, 4, 0, 10, -8, 2, 10, 12, 0, -6, 12, 10, -12, 0, 10, 8, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 3264, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '3264.bc', 'trace_hash': 334366994631129742}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18375414721194808614018179663', 'prec': 103}, 'conductor': 3264, 'gens': [], 'heights': [], 'lmfdb_label': '3264.bc5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.70249775913541607774907964702', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8099910365416643109963185880724807561', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-33, 0, 1]], 'xcoord_integral_points': [-33]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3264.bc5'}
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ec_torsion_growth • Show schema
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id: 170640
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '3264.bc5', 'torsion': [2, 2]}
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id: 170642
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '3264.bc5', 'torsion': [8]}
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id: 170641
{'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '3264.bc5', 'torsion': [4]}
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id: 170644
{'degree': 4, 'field': [6, 0, 7, -2, 1], 'lmfdb_label': '3264.bc5', 'torsion': [16]}
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id: 170643
{'degree': 4, 'field': [38, 4, -3, -2, 1], 'lmfdb_label': '3264.bc5', 'torsion': [2, 8]}
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id: 170648
{'degree': 8, 'field': [-48, 0, 98, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '3264.bc5', 'torsion': [6]}
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id: 170645
{'degree': 8, 'field': [16, 0, -26, 0, -7, 0, -2, 0, 1], 'lmfdb_label': '3264.bc5', 'torsion': [2, 4]}
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id: 170646
{'degree': 8, 'field': [16, 0, 32, 0, 41, 0, 8, 0, 1], 'lmfdb_label': '3264.bc5', 'torsion': [8]}
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id: 170647
{'degree': 8, 'field': [64, 64, -40, 24, 50, -36, 11, -2, 1], 'lmfdb_label': '3264.bc5', 'torsion': [2, 16]}
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id: 170650
{'degree': 16, 'field': [-42992, 198768, -317540, 39144, 191982, -101812, -9916, 31236, -10835, -2052, 1924, -372, -188, 56, 12, -8, 1], 'lmfdb_label': '3264.bc5', 'torsion': [2, 8]}
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id: 170655
{'degree': 16, 'field': [144, 0, 1656, 0, 3924, 0, 4040, 0, 1124, 0, -52, 0, -32, 0, 4, 0, 1], 'lmfdb_label': '3264.bc5', 'torsion': [24]}
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id: 170649
{'degree': 16, 'field': [324, -2160, 7200, -8232, 4936, -936, 1128, -1892, 1669, -772, 296, -196, 130, -76, 32, -8, 1], 'lmfdb_label': '3264.bc5', 'torsion': [4, 8]}
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id: 170652
{'degree': 16, 'field': [10386, -128376, 372564, 487512, -562329, -73188, 305010, -223908, 105409, -28720, 3280, 32, -131, 92, -14, -4, 1], 'lmfdb_label': '3264.bc5', 'torsion': [32]}
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id: 170651
{'degree': 16, 'field': [82944, 0, 359424, 0, 563328, 0, 413184, 0, 149668, 0, 26196, 0, 2141, 0, 78, 0, 1], 'lmfdb_label': '3264.bc5', 'torsion': [2, 16]}
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id: 170653
{'degree': 16, 'field': [118352, -218960, 237910, 172200, -567692, 459536, 32908, -138320, 10755, 12004, 1040, -1336, -202, 168, -4, -8, 1], 'lmfdb_label': '3264.bc5', 'torsion': [2, 6]}
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id: 170654
{'degree': 16, 'field': [37323158, -7856380, 9504066, -3586296, 2572854, -1086444, 626089, -252560, 98526, -27470, 9421, -2220, 461, -70, 30, -8, 1], 'lmfdb_label': '3264.bc5', 'torsion': [12]}
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ec_localdata • Show schema
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id: 59266
{'conductor': 3264, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '3264.bc5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 59267
{'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3264.bc5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 59268
{'conductor': 3264, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3264.bc5', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1685210
{'adelic_gens': [[257, 16, 256, 17], [1, 16, 0, 1], [24, 1, 271, 10], [1, 0, 16, 1], [5, 4, 268, 269], [271, 256, 204, 203], [15, 2, 174, 259], [159, 256, 38, 49]], 'adelic_image': '272.192.1.?', 'conductor': 3264, 'lmfdb_label': '3264.bc5', 'prime': 0}
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id: 16362
{'conductor': 3264, 'elladic_image': '16.96.0.239', 'lmfdb_label': '3264.bc5', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3264.bc does not appear in ec_padic