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ec_curvedata • Show schema
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{'Ciso': '4560g', 'Clabel': '4560g1', 'Cnumber': 1, 'abc_quality': 0.9309316752705356, 'absD': 156385200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, 1, 0, -95, -732], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 1024, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.26330408722014281731037379356', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2, 4], 'jinv': [-5988775936, 9774075], 'lmfdb_iso': '4560.bb', 'lmfdb_label': '4560.bb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -95, 732], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '6.6.0.a.1', '12.24.0-12.g.1.1', '152.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3623176431865679268125726942', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.032255027033494380837963086407', 'prec': 107}, 'szpiro_ratio': 3.1603324170293825, '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, 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, -6, 0, -1, 0], 'aplist': [0, 1, 1, 0, 0, -2, -6, -1, -4, -6, 0, -2, -2, 4, 4, -6, -12, -2, -4, 0, -6, -8, 8, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4560.bb', 'trace_hash': 1880846789156265515}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.59060480468757999779876792741', 'prec': 103}, 'conductor': 4560, 'gens': [[849, 11655, 8]], 'heights': [{'__RealLiteral__': 0, 'data': '6.3623176431865679268125726942', 'prec': 100}], 'lmfdb_label': '4560.bb4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.72311931828675310462836559021', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6007147968648526828129557655237997965', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[12, 0, 1]], 'xcoord_integral_points': [12]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': [2, 0], '7': [1, 3, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4560.bb4'}
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ec_torsion_growth • Show schema
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id: 237562
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [4]}
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id: 237561
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '4560.bb4', 'torsion': [2, 2]}
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id: 237563
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [4]}
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id: 237564
{'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [2, 4]}
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id: 237565
{'degree': 4, 'field': [75, 0, -15, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [2, 4]}
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id: 237569
{'degree': 8, 'field': [-3, 0, 1208, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [6]}
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id: 237568
{'degree': 8, 'field': [5, -14, 38, -58, 55, -34, 16, -4, 1], 'lmfdb_label': '4560.bb4', 'torsion': [8]}
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id: 237567
{'degree': 8, 'field': [196, 0, -103, 0, -57, 0, -13, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [8]}
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id: 237566
{'degree': 8, 'field': [361, 266, 98, -46, -2, -2, 2, -2, 1], 'lmfdb_label': '4560.bb4', 'torsion': [4, 4]}
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id: 237573
{'degree': 16, 'field': [9, 0, 3624, 0, 1459246, 0, 7248, 0, 39, 0, 2416, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [2, 6]}
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id: 237571
{'degree': 16, 'field': [25, -110, 334, -560, 725, -626, 678, -770, 392, -268, 216, -82, 65, -28, 16, -4, 1], 'lmfdb_label': '4560.bb4', 'torsion': [2, 8]}
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id: 237575
{'degree': 16, 'field': [5625, -22500, 45000, -44400, 20100, 5700, -8368, 7672, -3794, 564, 328, -256, 164, -84, 32, -8, 1], 'lmfdb_label': '4560.bb4', 'torsion': [12]}
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id: 237574
{'degree': 16, 'field': [5625, 22500, 0, -42000, 34500, 17100, 5368, -16328, -18642, 1388, 7856, 96, -28, -28, 24, -8, 1], 'lmfdb_label': '4560.bb4', 'torsion': [12]}
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id: 237572
{'degree': 16, 'field': [27075, -45600, 70500, -48900, 5790, 4440, 9120, -23460, 22996, -14224, 6460, -2116, 694, -136, 40, -4, 1], 'lmfdb_label': '4560.bb4', 'torsion': [2, 8]}
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id: 237570
{'degree': 16, 'field': [38416, 0, 20188, 0, 21781, 0, -10967, 0, 1714, 0, -947, 0, 226, 0, 13, 0, 1], 'lmfdb_label': '4560.bb4', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 86888
{'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4560.bb4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 86889
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4560.bb4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 86890
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.bb4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 86891
{'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4560.bb4', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1693641
{'adelic_gens': [[97, 8, 388, 33], [449, 8, 448, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 450, 451], [308, 1, 175, 6], [167, 168, 386, 161], [403, 402, 298, 67]], 'adelic_image': '456.48.0.?', 'conductor': 4560, 'lmfdb_label': '4560.bb4', 'prime': 0}
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id: 22620
{'conductor': 4560, 'elladic_image': '4.12.0.8', 'lmfdb_label': '4560.bb4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 164197
{'lmfdb_iso': '4560.bb', 'p': 13, 'prec': 20, 'unit': 1284659135015055073782, 'val': 1}
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id: 164199
{'lmfdb_iso': '4560.bb', 'p': 17, 'prec': 20, 'unit': 35411552507069873940571, 'val': 1}
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id: 164204
{'lmfdb_iso': '4560.bb', 'p': 23, 'prec': 20, 'unit': 7930781552476491728155883, 'val': 1}
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id: 164196
{'lmfdb_iso': '4560.bb', 'p': 29, 'prec': 20, 'unit': 1684758467875693066251045265, 'val': 1}
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id: 164193
{'lmfdb_iso': '4560.bb', 'p': 37, 'prec': 20, 'unit': 254634896862531616037250300183, 'val': 1}
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id: 164194
{'lmfdb_iso': '4560.bb', 'p': 41, 'prec': 20, 'unit': 3867791144945235903815228965232, 'val': 1}
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id: 164195
{'lmfdb_iso': '4560.bb', 'p': 43, 'prec': 20, 'unit': 9628593707303013355627952870423, 'val': 1}
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id: 164206
{'lmfdb_iso': '4560.bb', 'p': 47, 'prec': 20, 'unit': 4489735531783242649728117372111, 'val': 1}
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id: 164201
{'lmfdb_iso': '4560.bb', 'p': 53, 'prec': 20, 'unit': 212104657451647634232105177708359, 'val': 1}
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id: 164202
{'lmfdb_iso': '4560.bb', 'p': 59, 'prec': 20, 'unit': 51431790554315710261290230971010, 'val': 2}
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id: 164207
{'lmfdb_iso': '4560.bb', 'p': 61, 'prec': 20, 'unit': 3639494770768526816600760912356657, 'val': 1}
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id: 164192
{'lmfdb_iso': '4560.bb', 'p': 67, 'prec': 20, 'unit': 4922003461463860153067303422128909, 'val': 1}
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id: 164203
{'lmfdb_iso': '4560.bb', 'p': 73, 'prec': 20, 'unit': 25673178493452521771434582557892274, 'val': 1}
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id: 164198
{'lmfdb_iso': '4560.bb', 'p': 79, 'prec': 20, 'unit': 1120458358954905332031053364154899230, 'val': 1}
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id: 164200
{'lmfdb_iso': '4560.bb', 'p': 83, 'prec': 20, 'unit': 2789335945000868836176100487569555523, 'val': 1}
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id: 164205
{'lmfdb_iso': '4560.bb', 'p': 89, 'prec': 20, 'unit': 2218828313273731545472642323344847211, 'val': 1}
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id: 164191
{'lmfdb_iso': '4560.bb', 'p': 97, 'prec': 20, 'unit': 35995254115794352943656193212516054208, 'val': 1}