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ec_curvedata • Show schema
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{'Ciso': '35a', 'Clabel': '35a3', 'Cnumber': 3, 'abc_quality': 0.8871538351825968, 'absD': 35, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 630, 'ainvs': [0, 1, 1, -1, 0], 'analytic_rank': 0, 'bad_primes': [5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 35, 'degree': 6, 'elladic_images': ['9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.97115016503710495708757733528', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3, 9], 'jinv': [-262144, 35], 'lmfdb_iso': '35.a', 'lmfdb_label': '35.a2', 'lmfdb_number': 2, 'manin_constant': 3, 'min_quad_twist_ainvs': [0, 1, 1, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '9.24.0-9.a.1.2', '63.72.0-63.e.1.2', '70.2.0.a.1', '210.16.0.?', '630.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97115016503710495708757733528', 'prec': 107}, 'szpiro_ratio': 3.567651497988243, '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': '6.9747768200789282735127073815', 'prec': 100}, 'conductor': 35, 'gens': [], 'heights': [], 'lmfdb_label': '35.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '6.3262011522141496364219629784', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.70291123913490551515799588648696046342', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 5, 0], '3': [0, 0], '5': [0, 0], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '35.a2'}
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ec_torsion_growth • Show schema
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id: 1008
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '35.a2', 'torsion': [6]}
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id: 1009
{'degree': 3, 'field': [1, -2, -1, 1], 'lmfdb_label': '35.a2', 'torsion': [9]}
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id: 1010
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '35.a2', 'torsion': [2, 6]}
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id: 1012
{'degree': 6, 'field': [19, -11, 26, -6, 9, -1, 1], 'lmfdb_label': '35.a2', 'torsion': [9]}
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id: 1011
{'degree': 6, 'field': [48, 0, -23, 0, 1, 0, 1], 'lmfdb_label': '35.a2', 'torsion': [3, 3]}
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id: 1013
{'degree': 9, 'field': [1, -5, 11, -22, 32, -23, 1, 7, -4, 1], 'lmfdb_label': '35.a2', 'torsion': [18]}
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id: 1014
{'degree': 12, 'field': [-2, 4, -4, -4, -6, 8, -20, 0, -4, -10, 2, 0, 1], 'lmfdb_label': '35.a2', 'torsion': [12]}
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id: 1017
{'degree': 18, 'field': [1, -14, 90, -336, 769, -1052, 759, -204, 127, -294, 72, 196, -86, -82, 69, -16, 5, -4, 1], 'lmfdb_label': '35.a2', 'torsion': [18]}
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id: 1015
{'degree': 18, 'field': [1, -3, 13, -38, 35, 87, -215, -61, 935, -1903, 2255, -1909, 1291, -735, 353, -140, 43, -9, 1], 'lmfdb_label': '35.a2', 'torsion': [3, 9]}
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id: 1018
{'degree': 18, 'field': [71, -34, 318, -753, 1344, -1960, 2738, -2968, 3166, -2653, 2146, -1414, 876, -448, 210, -79, 26, -6, 1], 'lmfdb_label': '35.a2', 'torsion': [2, 18]}
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id: 1016
{'degree': 18, 'field': [3844, -12648, 28720, -39828, 42886, -29204, 17269, -6177, 4253, -1908, 1597, -677, 336, -49, 9, 2, 5, -3, 1], 'lmfdb_label': '35.a2', 'torsion': [3, 6]}
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ec_localdata • Show schema
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id: 132
{'conductor': 35, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35.a2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 133
{'conductor': 35, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35.a2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1665950
{'adelic_gens': [[11, 18, 468, 505], [1, 18, 0, 1], [10, 9, 81, 73], [1, 0, 18, 1], [613, 18, 612, 19], [193, 18, 99, 511], [127, 18, 513, 163], [1, 18, 10, 181]], 'adelic_image': '630.144.3.?', 'conductor': 35, 'lmfdb_label': '35.a2', 'prime': 0}
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id: 84
{'conductor': 35, 'elladic_image': '9.24.0.1', 'lmfdb_label': '35.a2', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 35.a does not appear in ec_padic