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ec_curvedata • Show schema
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{'Ciso': '56b', 'Clabel': '56b2', 'Cnumber': 2, 'absD': 100352, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, -1, 0, -40, -84], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 56, 'degree': 8, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.23466883556014264871132483940', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [3543122, 49], 'lmfdb_iso': '56.b', 'lmfdb_label': '56.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -40, -84], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '28.6.0.c.1', '56.12.0.k.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87005375107342584901045428407', 'prec': 107}, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, -4, 0, 1, 0, 1, 0, 0, 0, 0, 0, -8, 0, -2, 0, -2, 0], 'aplist': [0, 2, -4, 1, 0, 0, -2, -2, 8, 2, 4, -6, -2, 8, -4, -10, 6, 4, -12, 0, -14, -8, 6, 10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 56, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '56.b', 'trace_hash': 537829933984420021}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.5989348217207118961257432505', 'prec': 100}, 'conductor': 56, 'gens': [], 'heights': [], 'lmfdb_label': '56.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.8960382312277367628312865259', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.94801911561386838141564326296128094159', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [[-3, 0, 1]], 'xcoord_integral_points': [-3]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '7': [3, 0]}, 'iwp0': 3, 'lmfdb_label': '56.b1'}
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ec_torsion_growth • Show schema
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id: 1997
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '56.b1', 'torsion': [2, 2]}
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id: 1998
{'degree': 4, 'field': [2, 0, -1, 0, 1], 'lmfdb_label': '56.b1', 'torsion': [4]}
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id: 2001
{'degree': 8, 'field': [-12, 0, -20, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '56.b1', 'torsion': [6]}
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id: 2000
{'degree': 8, 'field': [1, 0, 2, 0, 10, 0, 2, 0, 1], 'lmfdb_label': '56.b1', 'torsion': [2, 4]}
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id: 1999
{'degree': 8, 'field': [4, 0, -16, 0, 18, 0, -8, 0, 1], 'lmfdb_label': '56.b1', 'torsion': [2, 4]}
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id: 2003
{'degree': 16, 'field': [49, 0, -184, 0, 220, 0, -84, 0, -186, 0, -24, 0, 16, 0, -4, 0, 1], 'lmfdb_label': '56.b1', 'torsion': [2, 6]}
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id: 2002
{'degree': 16, 'field': [64, 0, -192, 0, 164, 0, 72, 0, -86, 0, -12, 0, 31, 0, -10, 0, 1], 'lmfdb_label': '56.b1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 286
{'conductor': 56, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '56.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 287
{'conductor': 56, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '56.b1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1666021
{'adelic_gens': [[1, 2, 2, 5], [17, 4, 34, 9], [2, 1, 27, 0], [3, 4, 8, 11], [9, 50, 48, 7], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 56, 'lmfdb_label': '56.b1', 'prime': 0}
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id: 174
{'conductor': 56, 'elladic_image': '8.6.0.6', 'lmfdb_label': '56.b1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 56.b does not appear in ec_padic
