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ec_curvedata • Show schema
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{'Ciso': '225d', 'Clabel': '225d2', 'Cnumber': 2, 'abc_quality': 1.0439051029424253, 'absD': 21357421875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 30, 'ainvs': [0, 0, 1, -1875, 32031], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 225, 'degree': 240, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76092676645643221831281035382', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 4, 'isogeny_degrees': [1, 5], 'jinv': [-102400, 3], 'lmfdb_iso': '225.e', 'lmfdb_label': '225.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -8, -7], 'min_quad_twist_disc': -15, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '6.2.0.a.1', '10.24.0-5.a.2.2', '15.24.0-5.a.2.1', '30.48.1-30.d.2.2'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 25], [5, 2, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1295776382393729395521117090', 'prec': 103}, 'szpiro_ratio': 6.327814761182933, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, 0, 2, 0, 0, 3, 0, 0, 0, -2, 0, -1, 6, 0, -4, 2, 0, -5, 0], 'aplist': [2, 0, 0, 3, -2, -1, 2, -5, 6, -10, -3, -2, 8, -1, 2, -4, 10, 7, 3, 8, 14, 0, 6, 0, -17], 'class_deg': 5, 'class_size': 2, 'conductor': 225, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '225.e', 'trace_hash': 1813732781413488101}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.21830687274085464277266753163', 'prec': 103}, 'conductor': 225, 'gens': [], 'heights': [], 'lmfdb_label': '225.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2056681713571828489056764161', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4113363427143656978113528322950974300', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 's?', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '225.e1'}
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ec_torsion_growth • Show schema
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id: 9674
{'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '225.e1', 'torsion': [2]}
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id: 9675
{'degree': 4, 'field': [1, 4, -4, -1, 1], 'lmfdb_label': '225.e1', 'torsion': [5]}
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id: 9676
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '225.e1', 'torsion': [2, 2]}
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id: 9677
{'degree': 8, 'field': [1, -16, 22, -13, 10, -7, 7, -4, 1], 'lmfdb_label': '225.e1', 'torsion': [3]}
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id: 9678
{'degree': 10, 'field': [3, 0, 0, 0, 0, -3, 0, 0, 0, 0, 1], 'lmfdb_label': '225.e1', 'torsion': [5]}
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id: 9679
{'degree': 12, 'field': [-9, 54, -96, 60, -45, 84, -44, -4, -5, 10, 4, -4, 1], 'lmfdb_label': '225.e1', 'torsion': [4]}
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id: 9680
{'degree': 12, 'field': [1, 1, -1, 5, -15, 16, -9, 4, 5, -15, 14, -6, 1], 'lmfdb_label': '225.e1', 'torsion': [10]}
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ec_localdata • Show schema
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id: 2015
{'conductor': 225, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '225.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2016
{'conductor': 225, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '225.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1666731
{'adelic_gens': [[1, 0, 10, 1], [19, 20, 5, 9], [1, 10, 0, 1], [27, 20, 10, 11], [21, 10, 20, 11], [6, 13, 5, 1]], 'adelic_image': '30.48.1.?', 'conductor': 225, 'lmfdb_label': '225.e1', 'prime': 0}
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id: 957
{'conductor': 225, 'elladic_image': '5.12.0.2', 'lmfdb_label': '225.e1', 'modell_image': '5B.4.2', 'prime': 5}
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lmfdb_iso 225.e does not appear in ec_padic
