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ec_curvedata • Show schema
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{'Ciso': '22736bj', 'Clabel': '22736bj1', 'Cnumber': 1, 'abc_quality': 1.0174218517778215, 'absD': 684766121984, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 116, 'ainvs': [0, -1, 0, -16, -39808], 'analytic_rank': 0, 'bad_primes': [2, 7, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 22736, 'degree': 24576, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94991220582638654003248491367', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [-1, 1421], 'lmfdb_iso': '22736.k', 'lmfdb_label': '22736.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, -2], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['116.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71619004926121542193742357951', 'prec': 107}, 'szpiro_ratio': 3.4597373092169614, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, -2, 0, 5, 0, 5, 0, 1, 0, 4, 0, -4, 0], 'aplist': [0, -1, -1, 0, 5, 5, 4, -4, -6, 1, 7, -10, 0, 9, 7, 3, 0, -14, 6, -8, 16, 9, 16, 6, 0], 'class_deg': 1, 'class_size': 1, 'conductor': 22736, 'isogeny_matrix': [[1]], 'lmfdb_iso': '22736.k', 'trace_hash': 1460540682633684753}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14959488403511139267370766536', 'prec': 103}, 'conductor': 22736, 'gens': [], 'heights': [], 'lmfdb_label': '22736.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.41502040287464939556001072548', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6600816114985975822400429019069863152', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': 'a', '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [1, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '22736.k1'}
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ec_torsion_growth • Show schema
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id: 1151640
{'degree': 3, 'field': [-2, 0, -1, 1], 'lmfdb_label': '22736.k1', 'torsion': [2]}
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id: 1151641
{'degree': 6, 'field': [16, -8, 22, 10, -1, -2, 1], 'lmfdb_label': '22736.k1', 'torsion': [2, 2]}
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id: 1151642
{'degree': 8, 'field': [-7203, 0, 2737, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '22736.k1', 'torsion': [3]}
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id: 1151643
{'degree': 12, 'field': [-304, 4842, 5105, 2916, 6669, 190, 1085, 156, 91, 10, 7, -4, 1], 'lmfdb_label': '22736.k1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 519204
{'conductor': 22736, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '22736.k1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 519205
{'conductor': 22736, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '22736.k1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 519206
{'conductor': 22736, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22736.k1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[89, 2, 89, 3], [59, 2, 59, 3], [115, 2, 114, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 115, 0]], 'adelic_image': '116.2.0.?', 'conductor': 22736, 'lmfdb_label': '22736.k1', 'prime': 0}
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lmfdb_iso 22736.k does not appear in ec_padic