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ec_curvedata • Show schema
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{'Ciso': '101568c', 'Clabel': '101568c1', 'Cnumber': 1, 'abc_quality': 0.9906117492663808, 'absD': 8032991057805312, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, -1, 0, -17633, 4411233], 'analytic_rank': 0, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 101568, 'degree': 540672, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7335007402528510608995940817', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [-15625, 207], 'lmfdb_iso': '101568.bb', 'lmfdb_label': '101568.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -1], 'min_quad_twist_disc': -184, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '46.6.0.a.1', '276.12.0.?'], '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, 'serre_invariants': [[2, 2, 529], [3, 4, 33856], [23, 288, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87396713855164174862963051639', 'prec': 107}, 'szpiro_ratio': 3.827026104605791, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 2, 0, 1, 0, 4, 0, 6, 0, 0, 0, -4, 0, 2, 0], 'aplist': [0, -1, 0, 2, 4, 6, -4, 2, 0, -2, 4, 2, 2, 10, 0, -12, 12, -6, -10, 8, -14, -10, 12, 16, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 101568, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '101568.bb', 'trace_hash': 658534409626232738}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.031210475712492281544187899989', 'prec': 107}, 'conductor': 101568, 'gens': [], 'heights': [], 'lmfdb_label': '101568.bb2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35193968880215245524230965405', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8155175104172196419384772324232792607', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-199, 0, 1]], 'xcoord_integral_points': [-199]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '23': 'a'}, 'iwp0': 3, 'lmfdb_label': '101568.bb2'}
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ec_torsion_growth • Show schema
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id: 4711961
{'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '101568.bb2', 'torsion': [2, 2]}
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id: 4711962
{'degree': 4, 'field': [-23, 0, -4, 0, 1], 'lmfdb_label': '101568.bb2', 'torsion': [4]}
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id: 4711965
{'degree': 8, 'field': [-25392, 0, -19136, 0, 552, 0, 0, 0, 1], 'lmfdb_label': '101568.bb2', 'torsion': [6]}
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id: 4711964
{'degree': 8, 'field': [576, 0, -88, 0, -40, 0, 4, 0, 1], 'lmfdb_label': '101568.bb2', 'torsion': [2, 4]}
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id: 4711963
{'degree': 8, 'field': [676, 0, -116, 0, 45, 0, -8, 0, 1], 'lmfdb_label': '101568.bb2', 'torsion': [2, 4]}
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id: 4711966
{'degree': 16, 'field': [64009, 0, -378580, 0, -308474, 0, -46756, 0, -3917, 0, -2212, 0, 106, 0, -16, 0, 1], 'lmfdb_label': '101568.bb2', 'torsion': [8]}
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id: 4711967
{'degree': 16, 'field': [186624, 0, -763776, 0, 3259584, 0, -1505088, 0, 270384, 0, -19760, 0, 408, 0, 0, 0, 1], 'lmfdb_label': '101568.bb2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2494334
{'conductor': 101568, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '101568.bb2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 2494335
{'conductor': 101568, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '101568.bb2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2494336
{'conductor': 101568, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '101568.bb2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2331420
{'adelic_gens': [[1, 0, 4, 1], [185, 4, 94, 9], [3, 4, 8, 11], [1, 2, 2, 5], [194, 1, 179, 0], [1, 4, 0, 1], [273, 4, 272, 5], [73, 208, 68, 207]], 'adelic_image': '276.12.0.?', 'conductor': 101568, 'lmfdb_label': '101568.bb2', 'prime': 0}
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id: 407657
{'conductor': 101568, 'elladic_image': '2.3.0.1', 'lmfdb_label': '101568.bb2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 101568.bb does not appear in ec_padic