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ec_curvedata • Show schema
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{'Ciso': '630c', 'Clabel': '630c6', 'Cnumber': 6, 'abc_quality': 1.1083142308531486, 'absD': 196221313476562500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [1, -1, 0, 11430, 21304296], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 8192, 'elladic_images': ['16.96.0.202'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9971619709496452379420448051', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.q.1.1', '12.24.0-4.d.1.1', '16.96.0-16.j.1.8', '24.96.0-24.be.1.10', '28.24.0-4.d.1.2', '48.192.1-48.bf.2.4', '56.96.0-56.bd.1.11', '84.48.0.?', '112.192.1.?', '160.192.2.?', '168.192.1.?', '336.384.5.?', '480.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221866', 'prec': 100}, 'szpiro_ratio': 7.333898105722259, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, -1, -1, 0, 1, 4, 0, -2, 1, 0, 1, -2, 0, 4, -1], 'aplist': [-1, 0, -1, -1, 4, -2, -2, 4, 8, 2, 0, 6, 6, -4, 0, 10, -12, 14, -12, 8, 10, 16, 12, -10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 630, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '630.a', 'trace_hash': 1581650695631417775}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.018419895121528308132297404465', 'prec': 107}, 'conductor': 630, 'gens': [], 'heights': [], 'lmfdb_label': '630.a8', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24878189050546049972880215670', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.99512756202184199891520862679964400175', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-1053, 1053, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 1], '3': 'a', '5': [0, 0], '7': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '630.a8'}
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ec_torsion_growth • Show schema
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id: 28795
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [4]}
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id: 28796
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '630.a8', 'torsion': [4]}
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id: 28794
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [2, 2]}
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id: 28797
{'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [2, 4]}
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id: 28801
{'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [8]}
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id: 28800
{'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [8]}
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id: 28798
{'degree': 4, 'field': [49, 0, -28, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [8]}
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id: 28799
{'degree': 4, 'field': [49, 0, 28, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [8]}
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id: 28803
{'degree': 8, 'field': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [2, 8]}
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id: 28802
{'degree': 8, 'field': [16, 0, 12, 0, 5, 0, 3, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [4, 4]}
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id: 28807
{'degree': 8, 'field': [18, -85, 142, -135, 121, -67, 27, -4, 1], 'lmfdb_label': '630.a8', 'torsion': [6]}
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id: 28805
{'degree': 8, 'field': [36, 0, 0, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [16]}
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id: 28804
{'degree': 8, 'field': [2401, 0, 0, 0, -49, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [2, 8]}
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id: 28806
{'degree': 8, 'field': [86436, 0, 0, 0, 294, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [16]}
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id: 28812
{'degree': 16, 'field': [81, 0, -324, 0, 648, 0, -864, 0, 711, 0, -288, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [2, 16]}
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id: 28809
{'degree': 16, 'field': [256, 0, 0, 0, -16, 0, 0, 0, -15, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [4, 8]}
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id: 28816
{'degree': 16, 'field': [324, -1530, 4669, -7210, 6511, 194, -3680, 326, 2424, -1470, 966, -976, 340, 26, -11, -4, 1], 'lmfdb_label': '630.a8', 'torsion': [12]}
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id: 28810
{'degree': 16, 'field': [2401, 0, 0, 0, -74088, 0, 0, 0, 7154, 0, 0, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [16]}
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id: 28811
{'degree': 16, 'field': [2401, 0, 0, 0, 74088, 0, 0, 0, 7154, 0, 0, 0, 168, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [16]}
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id: 28814
{'degree': 16, 'field': [46656, -158112, 267912, -268200, 179748, -90000, 43704, -18864, 5652, -2052, 1368, -636, 156, -12, 8, -4, 1], 'lmfdb_label': '630.a8', 'torsion': [2, 6]}
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id: 28815
{'degree': 16, 'field': [72900, 0, -389043, 0, 253530, 0, -43821, 0, 10827, 0, 855, 0, -45, 0, -6, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [12]}
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id: 28808
{'degree': 16, 'field': [3111696, 0, 0, 0, 0, 0, 0, 0, -1764, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [4, 8]}
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id: 28813
{'degree': 16, 'field': [466948881, 0, -266827932, 0, 76236552, 0, -14521248, 0, 1707111, 0, -98784, 0, 3528, 0, -84, 0, 1], 'lmfdb_label': '630.a8', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 7532
{'conductor': 630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '630.a8', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7533
{'conductor': 630, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '630.a8', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7534
{'conductor': 630, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '630.a8', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7535
{'conductor': 630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '630.a8', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1668720
{'adelic_gens': [[2017, 16, 0, 1], [1, 8, 0, 421], [1, 0, 32, 1], [25, 16, 1624, 2249], [1, 32, 0, 1], [7, 16, 2775, 793], [985, 16, 1974, 2473], [1091, 3336, 3234, 475], [3329, 32, 3328, 33], [1, 32, 4, 129]], 'adelic_image': '3360.768.13.?', 'conductor': 630, 'lmfdb_label': '630.a8', 'prime': 0}
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id: 2810
{'conductor': 630, 'elladic_image': '16.96.0.202', 'lmfdb_label': '630.a8', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 630.a does not appear in ec_padic