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ec_curvedata • Show schema
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{'Ciso': '102b', 'Clabel': '102b6', 'Cnumber': 6, 'abc_quality': 1.036242441540377, 'absD': 125563633938, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [1, 0, 0, -1644, -30942], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 128, 'elladic_images': ['8.96.0.165'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705668', 'prec': 103}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-491411892194497, 125563633938], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1644, -30942], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.96.0-8.m.2.4', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705668', 'prec': 103}, 'szpiro_ratio': 7.393342929745696, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, -2, 1, 0, 1, 1, -2, -4, 1, -2, 0, -2, 1, 1, 1, 4, -2], 'aplist': [1, 1, -2, 0, -4, -2, 1, 4, 0, -10, 8, -2, 10, 12, 0, 6, 12, -10, -12, 0, 10, -8, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 102, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '102.c', 'trace_hash': 2057986112349787613}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18375414721194808614018179663', 'prec': 103}, 'conductor': 102, 'gens': [], 'heights': [], 'lmfdb_label': '102.c3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36991948194861955289524313596', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4796779277944782115809725438385371926', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[191, -191, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 3], '3': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '102.c3'}
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ec_torsion_growth • Show schema
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id: 3840
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [4]}
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id: 3841
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [8]}
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id: 3839
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [2, 2]}
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id: 3844
{'degree': 4, 'field': [-18, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [8]}
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id: 3843
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [2, 8]}
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id: 3842
{'degree': 4, 'field': [18, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [2, 4]}
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id: 3848
{'degree': 8, 'field': [-24, -12, 30, -37, 22, -7, 7, -4, 1], 'lmfdb_label': '102.c3', 'torsion': [6]}
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id: 3847
{'degree': 8, 'field': [16, 0, 24, 0, 18, 0, -6, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [16]}
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id: 3846
{'degree': 8, 'field': [18, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [2, 8]}
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id: 3845
{'degree': 8, 'field': [81, 0, -108, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [4, 8]}
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id: 3850
{'degree': 16, 'field': [16, 0, 0, 0, 312, 0, 0, 0, 305, 0, 0, 0, 78, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [2, 16]}
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id: 3854
{'degree': 16, 'field': [144, 0, -1656, 0, 3924, 0, -4040, 0, 1124, 0, 52, 0, -32, 0, -4, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [12]}
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id: 3853
{'degree': 16, 'field': [144, 0, 1656, 0, 3924, 0, 4040, 0, 1124, 0, -52, 0, -32, 0, 4, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [2, 6]}
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id: 3849
{'degree': 16, 'field': [361, -912, 1152, -1104, -212, 480, 1152, 480, 42, -240, 0, -48, 4, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [8, 8]}
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id: 3855
{'degree': 16, 'field': [576, 0, 1584, 0, -1044, 0, 553, 0, 242, 0, -23, 0, 37, 0, 2, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [24]}
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id: 3852
{'degree': 16, 'field': [82944, 0, 0, 0, 0, 0, 0, 0, -11592, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [16]}
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id: 3851
{'degree': 16, 'field': [104976, 0, 0, 0, 0, 0, 0, 0, 13041, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '102.c3', 'torsion': [2, 16]}
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ec_localdata • Show schema
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id: 649
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '102.c3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 650
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '102.c3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 651
{'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '102.c3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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ec_galrep • Show schema
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id: 1666183
{'adelic_gens': [[241, 16, 24, 129], [257, 16, 256, 17], [1, 16, 0, 1], [110, 69, 249, 146], [84, 69, 23, 146], [1, 0, 16, 1], [5, 4, 268, 269], [15, 2, 174, 259]], 'adelic_image': '272.192.1.?', 'conductor': 102, 'lmfdb_label': '102.c3', 'prime': 0}
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id: 370
{'conductor': 102, 'elladic_image': '8.96.0.165', 'lmfdb_label': '102.c3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 102.c does not appear in ec_padic