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ec_curvedata • Show schema
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{'Ciso': '5610bb', 'Clabel': '5610bb1', 'Cnumber': 1, 'abc_quality': 0.9921699787670846, 'absD': 89760000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 8976, 'ainvs': [1, 1, 1, -7310, 237515], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 5610, 'degree': 6144, 'elladic_images': ['16.48.0.29'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77544695683032729499063491563', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [43199583152847841, 89760000], 'lmfdb_iso': '5610.bc', 'lmfdb_label': '5610.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -7310, 237515], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.h.1.2', '136.48.0.?', '264.48.0.?', '272.96.0.?', '528.96.0.?', '1122.6.0.?', '2244.24.0.?', '4488.96.0.?', '8976.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77544695683032729499063491563', 'prec': 103}, 'szpiro_ratio': 4.437355122426881, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 1, -1, 0, 1, 1, 1, -1, -1, 6, 0, -1, 1, 1, 1, 4, 1], 'aplist': [1, -1, 1, 0, -1, 6, 1, 4, 0, 6, 0, -2, -6, -4, -8, 14, 12, -2, 4, 0, -6, -8, 4, -6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 5610, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '5610.bc', 'trace_hash': 2245995884501525493}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.21205832723995897747955446444', 'prec': 103}, 'conductor': 5610, 'gens': [], 'heights': [], 'lmfdb_label': '5610.bc4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.6428403741589645152703169180', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2856807483179290305406338359834943785', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[53, 23, 1]], 'xcoord_integral_points': [49, 53]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [0, 0], '5': [3, 0], '11': [0, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '5610.bc4'}
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ec_torsion_growth • Show schema
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id: 292421
{'degree': 2, 'field': [-140, -1, 1], 'lmfdb_label': '5610.bc4', 'torsion': [2, 4]}
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id: 292422
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '5610.bc4', 'torsion': [8]}
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id: 292423
{'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '5610.bc4', 'torsion': [8]}
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id: 292424
{'degree': 4, 'field': [16, 0, -25, 0, 1], 'lmfdb_label': '5610.bc4', 'torsion': [2, 8]}
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id: 292429
{'degree': 8, 'field': [-4204, -1436, 1202, 467, -230, -7, 7, -4, 1], 'lmfdb_label': '5610.bc4', 'torsion': [12]}
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id: 292425
{'degree': 8, 'field': [19600, 280, 2, -566, 289, -10, 8, -4, 1], 'lmfdb_label': '5610.bc4', 'torsion': [4, 4]}
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id: 292427
{'degree': 8, 'field': [2271856, -732280, -549103, 94022, 38539, -68, -421, -2, 1], 'lmfdb_label': '5610.bc4', 'torsion': [16]}
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id: 292428
{'degree': 8, 'field': [2803894, 489868, 464017, 71182, 14109, -40, -213, -2, 1], 'lmfdb_label': '5610.bc4', 'torsion': [16]}
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id: 292426
{'degree': 8, 'field': [14622976, 0, 1109824, 0, 33156, 0, 421, 0, 1], 'lmfdb_label': '5610.bc4', 'torsion': [2, 8]}
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id: 292430
{'degree': 16, 'field': [256, 0, 0, 0, -17696, 0, 0, 0, 341745, 0, 0, 0, -1106, 0, 0, 0, 1], 'lmfdb_label': '5610.bc4', 'torsion': [4, 8]}
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id: 292433
{'degree': 16, 'field': [589824, 0, 1077906432, 0, -717670400, 0, 134738304, 0, 7680, 0, -1403524, 0, -192, 0, 0, 0, 1], 'lmfdb_label': '5610.bc4', 'torsion': [2, 12]}
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id: 292435
{'degree': 16, 'field': [3549456, 0, 8272224, 0, 1456092, 0, -4622033, 0, 384170, 0, -5177, 0, 37, 0, -34, 0, 1], 'lmfdb_label': '5610.bc4', 'torsion': [24]}
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id: 292434
{'degree': 16, 'field': [9511056, 0, -35149824, 0, 10702492, 0, -17125617, 0, 1245570, 0, -36073, 0, 1437, 0, -66, 0, 1], 'lmfdb_label': '5610.bc4', 'torsion': [24]}
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id: 292432
{'degree': 16, 'field': [6524222464, -34125050368, -379119168, 25118822272, 1177101024, -6164908800, -538920404, 652160128, 73323948, -30929692, -4089299, 557430, 92211, -1432, -537, -2, 1], 'lmfdb_label': '5610.bc4', 'torsion': [2, 16]}
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id: 292431
{'degree': 16, 'field': [20920290304, -9949942784, -12979230720, 8401810176, 7065307504, -209147920, -1028901540, -196474176, 26828448, 16825008, 3336705, 315326, 3391, -2268, -237, -2, 1], 'lmfdb_label': '5610.bc4', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 110193
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '5610.bc4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 110194
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5610.bc4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 110195
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '5610.bc4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 110196
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5610.bc4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 110197
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5610.bc4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1700541
{'adelic_gens': [[8961, 16, 8960, 17], [1, 16, 0, 1], [3377, 16, 1322, 7023], [1, 16, 2244, 2245], [1, 0, 16, 1], [3272, 1, 895, 10], [5, 4, 8972, 8973], [7936, 5, 6291, 8962], [5992, 1, 3071, 10], [15, 2, 8878, 8963]], 'adelic_image': '8976.192.1.?', 'conductor': 5610, 'lmfdb_label': '5610.bc4', 'prime': 0}
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id: 27603
{'conductor': 5610, 'elladic_image': '16.48.0.29', 'lmfdb_label': '5610.bc4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 5610.bc does not appear in ec_padic