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ec_curvedata • Show schema
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{'Ciso': '33800t', 'Clabel': '33800t1', 'Cnumber': 1, 'abc_quality': 0.9655917770548856, 'absD': 2007952544000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 104, 'ainvs': [0, -1, 0, -69008, -7279988], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 33800, 'degree': 188160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6941620283794627455129634491', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-235298, 13], 'lmfdb_iso': '33800.l', 'lmfdb_label': '33800.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -16, -32], 'min_quad_twist_disc': 65, 'modell_images': [], 'modm_images': ['104.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0284165220816390101132893830', 'prec': 103}, 'szpiro_ratio': 4.327752149599026, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 5, 0, -2, 0, 2, 0, 0, 0, 0, 0, 3, 0, 2, 0], 'aplist': [0, -1, 0, 5, 2, 0, 3, 2, -4, -6, 4, 11, -8, 1, 9, 12, -6, 0, 6, -7, -2, 12, -16, 10, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 33800, 'isogeny_matrix': [[1]], 'lmfdb_iso': '33800.l', 'trace_hash': 421070556512421721}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.033765218095471018864879169934', 'prec': 107}, 'conductor': 33800, 'gens': [], 'heights': [], 'lmfdb_label': '33800.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14680889450626248916168134433', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6425601011127248049102641979935505850', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '33800.l1'}
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ec_torsion_growth • Show schema
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id: 1679193
{'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '33800.l1', 'torsion': [2]}
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id: 1679194
{'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '33800.l1', 'torsion': [2, 2]}
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id: 1679195
{'degree': 8, 'field': [-12454, -18356, -10570, -2734, -440, -82, -2, -4, 1], 'lmfdb_label': '33800.l1', 'torsion': [3]}
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id: 1679196
{'degree': 12, 'field': [-17456, 32384, -20892, 1508, 5734, -3328, 202, 562, -277, 40, 12, -6, 1], 'lmfdb_label': '33800.l1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 792086
{'conductor': 33800, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '33800.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 792087
{'conductor': 33800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '33800.l1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 792088
{'conductor': 33800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '33800.l1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[41, 2, 41, 3], [1, 2, 0, 1], [53, 2, 53, 3], [1, 0, 2, 1], [103, 2, 102, 3], [1, 1, 103, 0], [79, 2, 79, 3]], 'adelic_image': '104.2.0.?', 'conductor': 33800, 'lmfdb_label': '33800.l1', 'prime': 0}
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lmfdb_iso 33800.l does not appear in ec_padic