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ec_curvedata • Show schema
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{'Ciso': '10608c', 'Clabel': '10608c2', 'Cnumber': 2, 'abc_quality': 0.9409358762805745, 'absD': 422773947648, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -11428, -465392], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10608, 'degree': 18432, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1070989028831341439047213715', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [644811009586000, 1651460733], 'lmfdb_iso': '10608.k', 'lmfdb_label': '10608.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -11428, 465392], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '0.64500078250983727095989995720', 'prec': 103}, 'szpiro_ratio': 4.277009410336348, '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, 0, 0, 4, 0, 1, 0, 2, 0, -1, 0, 0, 0, 1, 0, -8, 0], 'aplist': [0, -1, 0, 4, 2, -1, 1, -8, -4, 2, 0, 2, -8, 4, -6, -2, 10, 2, 12, 6, 10, 8, 14, -16, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 10608, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10608.k', 'trace_hash': 667570180458104435}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.10924111169857287054635374792', 'prec': 103}, 'conductor': 10608, 'gens': [], 'heights': [], 'lmfdb_label': '10608.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.46181780853417937561069670565', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8472712341367175024427868226038970336', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-59, 0, 1]], 'xcoord_integral_points': [-59]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '13': [0, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '10608.k1'}
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ec_torsion_growth • Show schema
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id: 549086
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '10608.k1', 'torsion': [2, 2]}
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id: 549087
{'degree': 4, 'field': [1, 1, -1, -1, 1], 'lmfdb_label': '10608.k1', 'torsion': [4]}
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id: 549090
{'degree': 8, 'field': [-507, 0, -356, 0, -78, 0, 0, 0, 1], 'lmfdb_label': '10608.k1', 'torsion': [6]}
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id: 549088
{'degree': 8, 'field': [1, -1, 2, 3, -1, 3, 2, -1, 1], 'lmfdb_label': '10608.k1', 'torsion': [2, 4]}
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id: 549089
{'degree': 8, 'field': [9, 0, -46, 0, -109, 0, -2, 0, 1], 'lmfdb_label': '10608.k1', 'torsion': [2, 4]}
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id: 549092
{'degree': 16, 'field': [5041425, 2360760, -2160628, -228040, -310174, 494680, -151292, 8704, -27081, 15936, -2844, 208, -338, 112, 4, -8, 1], 'lmfdb_label': '10608.k1', 'torsion': [2, 6]}
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id: 549091
{'degree': 16, 'field': [815430241, -580902868, 739144974, -338525036, 226251333, -73775628, 33896050, -8632568, 3009000, -612940, 169624, -27372, 6018, -700, 120, -8, 1], 'lmfdb_label': '10608.k1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 225570
{'conductor': 10608, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '10608.k1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 225571
{'conductor': 10608, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10608.k1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 225572
{'conductor': 10608, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10608.k1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 225573
{'conductor': 10608, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10608.k1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1734198
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 10608, 'lmfdb_label': '10608.k1', 'prime': 0}
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id: 51048
{'conductor': 10608, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10608.k1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 10608.k does not appear in ec_padic