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ec_curvedata • Show schema
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{'Ciso': '3744n', 'Clabel': '3744n1', 'Cnumber': 1, 'abc_quality': 1.1390536764738939, 'absD': 35814871872, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -885, -4448], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3744, 'degree': 2560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71954413411840222654069006969', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [1643032000, 767637], 'lmfdb_iso': '3744.h', 'lmfdb_label': '3744.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -98, -132], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17633560049562527386554860950', 'prec': 107}, 'szpiro_ratio': 3.8855999395689396, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 1, 0, 0, 0, 6, 0, -6, 0], 'aplist': [0, 0, 0, -2, 4, 1, 6, -6, 0, 2, 6, 10, -8, -12, 12, 6, 0, 2, -2, -8, 14, -4, 8, -4, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 3744, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3744.h', 'trace_hash': 2193709896679766883}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.23714387174889826890347739257', 'prec': 103}, 'conductor': 3744, 'gens': [], 'heights': [], 'lmfdb_label': '3744.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.91578322643949916970177916864', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8315664528789983394035583372827433942', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[32, 0, 1]], 'xcoord_integral_points': [32]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '13': [3, 0]}, 'iwp0': 3, 'lmfdb_label': '3744.h2'}
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ec_torsion_growth • Show schema
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id: 195992
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '3744.h2', 'torsion': [2, 2]}
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id: 195993
{'degree': 4, 'field': [1, 2, -4, -2, 1], 'lmfdb_label': '3744.h2', 'torsion': [4]}
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id: 195996
{'degree': 8, 'field': [-1875, 0, -600, 0, 234, 0, 32, 0, 1], 'lmfdb_label': '3744.h2', 'torsion': [6]}
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id: 195994
{'degree': 8, 'field': [1, 6, -14, -26, 35, 26, -12, -4, 1], 'lmfdb_label': '3744.h2', 'torsion': [2, 4]}
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id: 195995
{'degree': 8, 'field': [13689, 0, -4056, 0, 559, 0, -26, 0, 1], 'lmfdb_label': '3744.h2', 'torsion': [2, 4]}
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id: 195998
{'degree': 16, 'field': [-14557491, 58045416, -57441072, 667992, -5132790, 6056232, -2507508, 401600, -72733, -28088, 15852, -6352, 1726, -336, 68, -8, 1], 'lmfdb_label': '3744.h2', 'torsion': [2, 6]}
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id: 195997
{'degree': 16, 'field': [20449, -52052, -27612, 201812, -198198, -14508, 140860, -78748, -5460, 17788, -3032, -1596, 366, 100, -24, -4, 1], 'lmfdb_label': '3744.h2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 69434
{'conductor': 3744, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3744.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 69435
{'conductor': 3744, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '3744.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 69436
{'conductor': 3744, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3744.h2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1688346
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 3744, 'lmfdb_label': '3744.h2', 'prime': 0}
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id: 18741
{'conductor': 3744, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3744.h2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3744.h does not appear in ec_padic