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ec_curvedata • Show schema
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{'Ciso': '24300y', 'Clabel': '24300y1', 'Cnumber': 1, 'absD': 349920000, 'ainvs': [0, 0, 0, 0, 900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 24300, 'degree': 10692, 'elladic_images': ['27.648.18.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31831716447968973613576505106', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '24300.z', 'lmfdb_label': '24300.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 900], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 6075], [3, 8, 10], [5, 14, 972]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.686404517150126, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, 0, 5, 0, 5, 0, 8, 0, 0, -4, 11, 0, 5, 0, 0, 0, -1, 11, 0, -10, -13, 0, 0, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 24300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '24300.z', 'trace_hash': 85884613087496059}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.52907010675410497612245321702', 'prec': 103}, 'conductor': 24300, 'gens': [], 'heights': [], 'lmfdb_label': '24300.z2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3537919379756991630658299190', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0613758139270974891974897571439452627', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [[0, 30, 1]], 'xcoord_integral_points': [0]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a'}, 'iwp0': 5, 'lmfdb_label': '24300.z2'}
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ec_torsion_growth • Show schema
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id: 1226860
{'degree': 3, 'field': [-30, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [6]}
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id: 1226861
{'degree': 6, 'field': [961, -93, -84, 53, 6, -3, 1], 'lmfdb_label': '24300.z2', 'torsion': [2, 6]}
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id: 1226862
{'degree': 6, 'field': [3721, -183, -174, 113, 6, -3, 1], 'lmfdb_label': '24300.z2', 'torsion': [3, 3]}
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id: 1226863
{'degree': 9, 'field': [-8000, 0, 0, -2400, 0, 0, -60, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [9]}
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id: 1226864
{'degree': 12, 'field': [3750, 0, 0, 4500, 0, 0, 0, 0, 0, -30, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [12]}
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id: 1226865
{'degree': 12, 'field': [23520000, 0, 0, -504000, 0, 0, 21600, 0, 0, -240, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [21]}
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id: 1226867
{'degree': 18, 'field': [1156, 11016, 121500, -188676, 99414, 11718, -36621, 17991, -423, -5414, 3807, -729, -216, -27, 189, -126, 45, -9, 1], 'lmfdb_label': '24300.z2', 'torsion': [6, 6]}
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id: 1226866
{'degree': 18, 'field': [3283183, -2329434, -1585161, 2433543, -241965, -744309, 382605, 54207, -89451, 18334, 8748, -3339, -609, 639, -9, -96, 45, -9, 1], 'lmfdb_label': '24300.z2', 'torsion': [3, 9]}
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ec_localdata • Show schema
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id: 557285
{'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '24300.z2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 557286
{'conductor': 24300, 'conductor_valuation': 5, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '24300.z2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 557287
{'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '24300.z2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'conductor': 24300, 'elladic_image': '27.648.18.1', 'lmfdb_label': '24300.z2', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 24300.z does not appear in ec_padic