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ec_curvedata • Show schema
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{'Ciso': '269280bv', 'Clabel': '269280bv2', 'Cnumber': 2, 'abc_quality': 0.9743109355891132, 'absD': 5421031151599270310400, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 44880, 'ainvs': [0, 0, 0, -6531123, 5359451978], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 269280, 'degree': 15728640, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8900688319005705378734166277', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [82544817451565439368, 14523938913535425], 'lmfdb_iso': '269280.bv', 'lmfdb_label': '269280.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -725680, -198256328], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '12.12.0-4.c.1.1', '24.24.0-8.o.1.6', '136.24.0.?', '176.24.0.?', '408.48.0.?', '528.48.0.?', '1360.48.0.?', '2992.48.0.?', '4080.96.0.?', '8976.96.1.?', '14960.96.0.?', '44880.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8209023021465567101128699181', 'prec': 100}, 'szpiro_ratio': 4.69387279699834, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 4, 0, 0, 0, -1, 0, -2, 0, 0, 0, -1, 0, 0, 0], 'aplist': [0, 0, -1, 4, -1, -2, -1, 0, -4, 2, -4, -10, -10, -8, -8, -6, 0, -2, -8, -4, 2, -4, 0, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 269280, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '269280.bv', 'trace_hash': 2036513424831486313}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0030882902331993061793123373205', 'prec': 110}, 'conductor': 269280, 'gens': [], 'heights': [], 'lmfdb_label': '269280.bv2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12924764292272200025383358968', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.51699057169088800101533435870786111893', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[1942, 0, 1]], 'xcoord_integral_points': [1942]}
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lmfdb_label 269280.bv2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11507602
{'degree': 2, 'field': [-102, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [4]}
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id: 11507601
{'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [2, 2]}
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id: 11507603
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [4]}
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id: 11507604
{'degree': 4, 'field': [289, 0, -68, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [2, 4]}
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id: 11507608
{'degree': 8, 'field': [-32448, 0, -2624, 0, -624, 0, 0, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [6]}
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id: 11507607
{'degree': 8, 'field': [16924996, 0, -271524, 0, 242, 0, -66, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [8]}
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id: 11507606
{'degree': 8, 'field': [196700625, 0, -12138000, 0, 151300, 0, -680, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [2, 8]}
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id: 11507605
{'degree': 8, 'field': [10578122500, 0, 0, 0, 102850, 0, 0, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [2, 4]}
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id: 11507613
{'degree': 16, 'field': [240129126, 233100972, -196293132, -69600252, 25037716, 10937068, -2336038, -1147716, 315283, -14224, -1586, 2084, -44, -168, 44, -8, 1], 'lmfdb_label': '269280.bv2', 'torsion': [12]}
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id: 11507611
{'degree': 16, 'field': [16452616158, 22006726272, 7660661212, -2918007520, -1838255824, 159723008, 192860500, -16148472, -10318732, 2059204, 121484, -95928, 7462, 1364, -160, -4, 1], 'lmfdb_label': '269280.bv2', 'torsion': [2, 6]}
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id: 11507612
{'degree': 16, 'field': [62943814393, -12967062920, 23622926372, 1958917772, -2184841826, 1707949044, -426399692, 48706588, 5432276, -2979376, 550492, -14508, -5474, 1420, -64, -4, 1], 'lmfdb_label': '269280.bv2', 'torsion': [12]}
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id: 11507610
{'degree': 16, 'field': [197805231009, -15621504372, 21436155648, 10636411560, -983526704, 1044881508, 269562576, -26132132, 33855263, -464948, 817760, -10196, 13872, -168, 152, -4, 1], 'lmfdb_label': '269280.bv2', 'torsion': [2, 8]}
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id: 11507609
{'degree': 16, 'field': [111898851576539073201, 0, -13055180286288804, 0, -4350422135284490, 0, 211554221984, 0, 63480048519, 0, -411416, 0, -411390, 0, -4, 0, 1], 'lmfdb_label': '269280.bv2', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 6672429
{'conductor': 269280, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '269280.bv2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 6672430
{'conductor': 269280, 'conductor_valuation': 2, 'discriminant_valuation': 30, 'j_denominator_valuation': 24, 'kodaira_symbol': -28, 'lmfdb_label': '269280.bv2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6672431
{'conductor': 269280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '269280.bv2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6672432
{'conductor': 269280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '269280.bv2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6672433
{'conductor': 269280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '269280.bv2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3366570
{'adelic_gens': [[1, 16, 0, 1], [1, 8, 8, 65], [40801, 16, 12248, 129], [17959, 10, 35878, 44843], [15, 166, 44594, 41715], [14959, 44864, 29912, 44751], [11228, 11229, 22463, 22466], [1, 0, 16, 1], [23774, 3, 26493, 20], [44879, 22424, 5610, 28049], [44865, 16, 44864, 17]], 'adelic_image': '44880.192.3.?', 'conductor': 269280, 'lmfdb_label': '269280.bv2', 'prime': 0}
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id: 962691
{'conductor': 269280, 'elladic_image': '8.12.0.10', 'lmfdb_label': '269280.bv2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 269280.bv does not appear in ec_padic