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ec_curvedata • Show schema
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{'Ciso': '1150d', 'Clabel': '1150d1', 'Cnumber': 1, 'abc_quality': 0.9526210838125413, 'absD': 19010937500, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 276, 'ainvs': [1, 0, 1, -951, -9202], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1150, 'degree': 720, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.68844973160494544351751923405', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [243135625, 48668], 'lmfdb_iso': '1150.a', 'lmfdb_label': '1150.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -38, -89], 'min_quad_twist_disc': 5, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '92.2.0.?', '276.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.81107298312674730227667079961', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38450887668445480621632032143', 'prec': 107}, 'szpiro_ratio': 4.566804487560496, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -2, 1, 0, 2, -1, -1, 1, 0, 3, -2, -1, 1, 0, 1, 0, -1, -1, 0], 'aplist': [-1, -2, 0, -1, 3, -1, 0, -1, 1, -3, 2, 2, 3, -1, 0, -12, -6, 2, 8, -6, -7, -1, -9, -18, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 1150, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1150.a', 'trace_hash': 1712656486326156197}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.25235979212349132170068258730', 'prec': 103}, 'conductor': 1150, 'gens': [[-23, 36, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.81107298312674730227667079961', 'prec': 103}], 'lmfdb_label': '1150.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.87186633733541579993277634829', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4142944622208533411998277813402743872', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [[52, 261, 1]], 'xcoord_integral_points': [-23, -17, 52, 202]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': [3, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '1150.a2'}
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ec_torsion_growth • Show schema
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id: 56363
{'degree': 3, 'field': [2, -8, -1, 1], 'lmfdb_label': '1150.a2', 'torsion': [6]}
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id: 56365
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '1150.a2', 'torsion': [3, 3]}
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id: 56364
{'degree': 6, 'field': [8, 52, 53, -22, -26, -2, 1], 'lmfdb_label': '1150.a2', 'torsion': [2, 6]}
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id: 56366
{'degree': 9, 'field': [-932, 324, 20, 682, -816, 192, 89, -32, -1, 1], 'lmfdb_label': '1150.a2', 'torsion': [9]}
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id: 56367
{'degree': 12, 'field': [-4, -30, -79, -54, -10, 4, -43, -14, 49, 2, -2, -4, 1], 'lmfdb_label': '1150.a2', 'torsion': [12]}
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id: 56368
{'degree': 18, 'field': [81, -711, 7411, 9946, 19150, -16840, -11608, 684, 5707, -93, -669, 488, 0, -132, -36, 20, 5, -3, 1], 'lmfdb_label': '1150.a2', 'torsion': [3, 6]}
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ec_localdata • Show schema
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id: 16590
{'conductor': 1150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1150.a2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 16591
{'conductor': 1150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1150.a2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 16592
{'conductor': 1150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1150.a2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1671776
{'adelic_gens': [[271, 6, 270, 7], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [97, 6, 15, 19], [273, 274, 266, 269], [162, 121, 253, 231], [139, 6, 141, 19], [1, 6, 0, 1]], 'adelic_image': '276.16.0.?', 'conductor': 1150, 'lmfdb_label': '1150.a2', 'prime': 0}
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id: 5437
{'conductor': 1150, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1150.a2', 'modell_image': '3B.1.1', 'prime': 3}
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ec_padic • Show schema
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id: 27718
{'lmfdb_iso': '1150.a', 'p': 7, 'prec': 20, 'unit': 10690732425501311, 'val': 1}
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id: 27724
{'lmfdb_iso': '1150.a', 'p': 11, 'prec': 20, 'unit': 23312409233330769527, 'val': 1}
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id: 27722
{'lmfdb_iso': '1150.a', 'p': 13, 'prec': 20, 'unit': 1218213154112975845438, 'val': 1}
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id: 27725
{'lmfdb_iso': '1150.a', 'p': 19, 'prec': 20, 'unit': 1309125387134186352137546, 'val': 1}
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id: 27721
{'lmfdb_iso': '1150.a', 'p': 29, 'prec': 20, 'unit': 5171720853977788083900810685, 'val': 1}
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id: 27732
{'lmfdb_iso': '1150.a', 'p': 31, 'prec': 20, 'unit': 13951437561578101972858578639, 'val': 1}
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id: 27717
{'lmfdb_iso': '1150.a', 'p': 37, 'prec': 20, 'unit': 154220833421323245013699780828, 'val': 1}
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id: 27719
{'lmfdb_iso': '1150.a', 'p': 41, 'prec': 20, 'unit': 3296981795717443548061781244299, 'val': 1}
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id: 27720
{'lmfdb_iso': '1150.a', 'p': 43, 'prec': 20, 'unit': 3112691898957703431344477185958, 'val': 1}
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id: 27726
{'lmfdb_iso': '1150.a', 'p': 53, 'prec': 20, 'unit': 462064861799031162156135507314525, 'val': 1}
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id: 27730
{'lmfdb_iso': '1150.a', 'p': 59, 'prec': 20, 'unit': 2439691473461613443879359622100498, 'val': 1}
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id: 27731
{'lmfdb_iso': '1150.a', 'p': 61, 'prec': 20, 'unit': 696430537802017325702896374745970, 'val': 1}
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id: 27716
{'lmfdb_iso': '1150.a', 'p': 67, 'prec': 20, 'unit': 26037617718470719721525423591468320, 'val': 1}
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id: 27729
{'lmfdb_iso': '1150.a', 'p': 71, 'prec': 20, 'unit': 60592952980088230618946722381264157, 'val': 1}
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id: 27727
{'lmfdb_iso': '1150.a', 'p': 73, 'prec': 20, 'unit': 147366090863361176816113798587051739, 'val': 1}
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id: 27723
{'lmfdb_iso': '1150.a', 'p': 79, 'prec': 20, 'unit': 252425200553403285922574471585170678, 'val': 1}
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id: 27715
{'lmfdb_iso': '1150.a', 'p': 83, 'prec': 20, 'unit': 2386405776449759453202583118216401355, 'val': 1}
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id: 27728
{'lmfdb_iso': '1150.a', 'p': 89, 'prec': 20, 'unit': 3419080516531004592204219231761052877, 'val': 1}
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id: 27714
{'lmfdb_iso': '1150.a', 'p': 97, 'prec': 20, 'unit': 44184121700015823553089075392194848181, 'val': 1}