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ec_curvedata • Show schema
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{'Ciso': '35a', 'Clabel': '35a1', 'Cnumber': 1, 'abc_quality': 1.0649344898971125, 'absD': 42875, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, 9, 1], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 35, 'degree': 2, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471682', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [71991296, 42875], 'lmfdb_iso': '35.a', 'lmfdb_label': '35.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 9, 1], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '63.72.0-63.b.1.3', '70.2.0.a.1', '210.48.1.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[3, 2, 1], [5, 6, 7], [7, 8, 5]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42184402070305011138995471682', 'prec': 107}, 'szpiro_ratio': 5.0886876524839115, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, -2, -1, 0, 1, 0, -2, 0, -3, -2, 5, 0, -1, 4, 3, 0, 2, 2], 'aplist': [0, 1, -1, 1, -3, 5, 3, 2, -6, 3, -4, 2, -12, -10, 9, 12, 0, 8, -4, 0, 2, -1, 12, -12, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 35, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '35.a', 'trace_hash': 2198604108451929950}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '2.3249256066929760911709024605', 'prec': 100}, 'conductor': 35, 'gens': [], 'heights': [], 'lmfdb_label': '35.a3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.1087337174047165454739876595', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.70291123913490551515799588648696046342', 'prec': 133}, 'tamagawa_product': 3, 'torsion_generators': [[1, 3, 1]], 'xcoord_integral_points': [1]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 5, 0], '3': [0, 1], '5': [0, 0], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '35.a3'}
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ec_torsion_growth • Show schema
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id: 982
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '35.a3', 'torsion': [3, 3]}
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id: 983
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '35.a3', 'torsion': [6]}
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id: 984
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '35.a3', 'torsion': [2, 6]}
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id: 985
{'degree': 6, 'field': [4, 4, 4, -4, -2, 0, 1], 'lmfdb_label': '35.a3', 'torsion': [3, 6]}
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id: 986
{'degree': 9, 'field': [1, 0, 0, 3, 0, 0, -4, 0, 0, 1], 'lmfdb_label': '35.a3', 'torsion': [9]}
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id: 987
{'degree': 12, 'field': [-2, 4, -4, -4, -6, 8, -20, 0, -4, -10, 2, 0, 1], 'lmfdb_label': '35.a3', 'torsion': [12]}
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id: 988
{'degree': 12, 'field': [1, -3, 1, -2, 23, -43, 50, -43, 23, -2, 1, -3, 1], 'lmfdb_label': '35.a3', 'torsion': [6, 6]}
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id: 989
{'degree': 18, 'field': [1, 0, 0, 14, 0, 0, 130, 0, 0, 40, 0, 0, -5, 0, 0, -6, 0, 0, 1], 'lmfdb_label': '35.a3', 'torsion': [3, 9]}
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id: 991
{'degree': 18, 'field': [7, 21, 21, 36, 48, 30, 25, -6, 30, -73, 99, -138, 151, -132, 114, -80, 36, -9, 1], 'lmfdb_label': '35.a3', 'torsion': [3, 9]}
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id: 990
{'degree': 18, 'field': [19683, 0, 0, -25515, 0, 0, 18252, 0, 0, -5355, 0, 0, 676, 0, 0, -35, 0, 0, 1], 'lmfdb_label': '35.a3', 'torsion': [3, 9]}
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ec_localdata • Show schema
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id: 128
{'conductor': 35, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '35.a3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 129
{'conductor': 35, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '35.a3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1665951
{'adelic_gens': [[11, 18, 468, 505], [1, 18, 0, 1], [1, 0, 18, 1], [544, 9, 351, 610], [613, 18, 612, 19], [1, 6, 6, 37], [1, 12, 0, 1], [1, 9, 9, 82], [10, 9, 117, 622]], 'adelic_image': '630.144.3.?', 'conductor': 35, 'lmfdb_label': '35.a3', 'prime': 0}
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id: 85
{'conductor': 35, 'elladic_image': '3.24.0.1', 'lmfdb_label': '35.a3', 'modell_image': '3Cs.1.1', 'prime': 3}
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lmfdb_iso 35.a does not appear in ec_padic
