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ec_curvedata • Show schema
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{'Ciso': '26b', 'Clabel': '26b1', 'Cnumber': 1, 'abc_quality': 0.96783604338842, 'absD': 1664, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 728, 'ainvs': [1, -1, 1, -3, 3], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 26, 'degree': 2, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.68316054842427208735666930170', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 7], 'jinv': [-2146689, 1664], 'lmfdb_iso': '26.b', 'lmfdb_label': '26.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3, 3], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '104.2.0.?', '728.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [7, 2, 13], [13, 14, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68316054842427208735666930170', 'prec': 107}, 'szpiro_ratio': 4.7356960628832425, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -3, 1, -1, -3, 1, 1, 6, -1, -2, -3, -1, 1, 3, 1, -3, 6, 6, -1], 'aplist': [1, -3, -1, 1, -2, -1, -3, 6, -4, 2, 4, 3, 0, -5, 13, 12, -10, -8, -2, -5, -10, -4, 0, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 26, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '26.b', 'trace_hash': 1458165707980378714}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '3.9208995199313485454870177313', 'prec': 100}, 'conductor': 26, 'gens': [], 'heights': [], 'lmfdb_label': '26.b2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '4.3467574468433882646310387089', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.62096534954905546637586267270088986448', 'prec': 133}, 'tamagawa_product': 7, 'torsion_generators': [[1, 0, 1]], 'xcoord_integral_points': [-1, 1, 3]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 0], '3': [0, 0, 0], '5': [0, 0], '7': [4, 0], '13': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '26.b2'}
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ec_torsion_growth • Show schema
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id: 618
{'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '26.b2', 'torsion': [14]}
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id: 619
{'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '26.b2', 'torsion': [2, 14]}
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id: 620
{'degree': 8, 'field': [-2, -4, -2, 11, -2, -7, 7, -4, 1], 'lmfdb_label': '26.b2', 'torsion': [21]}
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id: 621
{'degree': 12, 'field': [-16, 112, -28, 264, -228, 28, 119, -90, 25, -8, 11, -6, 1], 'lmfdb_label': '26.b2', 'torsion': [28]}
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ec_localdata • Show schema
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id: 76
{'conductor': 26, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '26.b2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 77
{'conductor': 26, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26.b2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1665932
{'adelic_gens': [[183, 14, 553, 99], [365, 14, 371, 99], [1, 14, 0, 1], [561, 14, 287, 99], [1, 0, 14, 1], [715, 14, 714, 15], [8, 5, 91, 57], [547, 378, 0, 339]], 'adelic_image': '728.96.2.?', 'conductor': 26, 'lmfdb_label': '26.b2', 'prime': 0}
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id: 54
{'conductor': 26, 'elladic_image': '7.48.0.1', 'lmfdb_label': '26.b2', 'modell_image': '7B.1.1', 'prime': 7}
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lmfdb_iso 26.b does not appear in ec_padic