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ec_curvedata • Show schema
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{'Ciso': '900c', 'Clabel': '900c2', 'Cnumber': 2, 'absD': 3149280000, 'ainvs': [0, 0, 0, 0, -2700], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 900, 'degree': 432, 'elladic_images': ['27.648.18.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50141921259104135136830592388', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '900.d', 'lmfdb_label': '900.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 100], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7802311976932728303939874273', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 4.3110052653371485, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -7, 0], 'aplist': [0, 0, 0, -1, 0, -7, 0, -7, 0, 0, 11, -10, 0, -13, 0, 0, 0, -1, 11, 0, -10, -4, 0, 0, -19], 'class_deg': 3, 'class_size': 2, 'conductor': 900, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '900.d', 'trace_hash': 874335255777811590}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.36683672343985257169717021970', 'prec': 103}, 'conductor': 900, 'gens': [[21, 81, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7802311976932728303939874273', 'prec': 100}], 'lmfdb_label': '900.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.65083528027702859267807948985', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3172745410172230400488851999569996680', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [21]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '900.d1'}
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ec_torsion_growth • Show schema
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id: 42939
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '900.d1', 'torsion': [3]}
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id: 42941
{'degree': 3, 'field': [-20, 0, 0, 1], 'lmfdb_label': '900.d1', 'torsion': [3]}
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id: 42940
{'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '900.d1', 'torsion': [2]}
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id: 42942
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '900.d1', 'torsion': [2, 6]}
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id: 42943
{'degree': 6, 'field': [133, -240, 147, -20, -9, 0, 1], 'lmfdb_label': '900.d1', 'torsion': [3, 3]}
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id: 42944
{'degree': 9, 'field': [1, 0, 0, 23, 0, 0, -7, 0, 0, 1], 'lmfdb_label': '900.d1', 'torsion': [6]}
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id: 42945
{'degree': 12, 'field': [-11, 8, 36, -38, -53, 156, -176, 108, -27, -16, 16, -6, 1], 'lmfdb_label': '900.d1', 'torsion': [4]}
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id: 42946
{'degree': 12, 'field': [6241, -13135, 10298, -2480, -329, -560, 687, -110, -119, 60, -2, -5, 1], 'lmfdb_label': '900.d1', 'torsion': [21]}
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id: 42948
{'degree': 18, 'field': [27, 0, 0, 0, 0, 0, 67, 0, 0, 0, 0, 0, 49, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '900.d1', 'torsion': [6, 6]}
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id: 42947
{'degree': 18, 'field': [390963, 432117, 113715, 271377, 49194, 31482, 115851, -83628, 86949, -47250, 26712, -10296, 4017, -1179, 384, -102, 30, -6, 1], 'lmfdb_label': '900.d1', 'torsion': [3, 9]}
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ec_localdata • Show schema
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id: 12034
{'conductor': 900, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '900.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 12035
{'conductor': 900, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '900.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 12036
{'conductor': 900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '900.d1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'conductor': 900, 'elladic_image': '27.648.18.4', 'lmfdb_label': '900.d1', 'modell_image': '3B.1.2', 'prime': 3}
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ec_padic • Show schema
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id: 19238
{'lmfdb_iso': '900.d', 'p': 7, 'prec': 20, 'unit': 1462631240445464, 'val': 1}
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id: 19241
{'lmfdb_iso': '900.d', 'p': 13, 'prec': 20, 'unit': 1309991034220626862523, 'val': 1}
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id: 19243
{'lmfdb_iso': '900.d', 'p': 19, 'prec': 20, 'unit': 1322069850272630296809840, 'val': 1}
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id: 19245
{'lmfdb_iso': '900.d', 'p': 31, 'prec': 20, 'unit': 1137755726549477663560119311, 'val': 1}
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id: 19237
{'lmfdb_iso': '900.d', 'p': 37, 'prec': 20, 'unit': 139150576728238790710474953673, 'val': 1}
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id: 19240
{'lmfdb_iso': '900.d', 'p': 43, 'prec': 20, 'unit': 2466431990328865674472037945768, 'val': 1}
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id: 19244
{'lmfdb_iso': '900.d', 'p': 61, 'prec': 20, 'unit': 1058592663912920482507326773888419, 'val': 1}
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id: 19236
{'lmfdb_iso': '900.d', 'p': 67, 'prec': 20, 'unit': 919025862412192353754051600890844, 'val': 1}
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id: 19239
{'lmfdb_iso': '900.d', 'p': 73, 'prec': 20, 'unit': 251794010071862435587806323406561976, 'val': 1}
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id: 19242
{'lmfdb_iso': '900.d', 'p': 79, 'prec': 20, 'unit': 434330160802022222339189841977089713, 'val': 1}
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id: 19235
{'lmfdb_iso': '900.d', 'p': 97, 'prec': 20, 'unit': 1683094734390727921694011980292738955, 'val': 1}