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ec_curvedata • Show schema
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{'Ciso': '369600ov', 'Clabel': '369600ov3', 'Cnumber': 3, 'abc_quality': 1.0566161575806352, 'absD': 375098459607546200064000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -27774593, -48029603457], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 36864000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2461493054106191070324265870', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 385, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [72313087342699809269, 11447096545640448], 'lmfdb_iso': '369600.ov', 'lmfdb_label': '369600.ov2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -433978, 93753572], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '40.72.0-10.a.2.11', '60.72.1.ch.2', '120.144.1.?', '770.72.1.?', '924.6.0.?', '3080.144.1.?', '4620.144.5.?', '9240.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8010137110704829670270165444', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8040690564621760492563885715', 'prec': 100}, 'szpiro_ratio': 4.916663916805465, '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, -1, 0, 1, 0, 1, 0, -4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 1, 0, -1, 1, -4, -2, 0, 6, 0, -2, -8, 2, 4, -8, 6, 0, -2, 8, 8, 4, -10, -6, 0, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '369600.ov', 'trace_hash': 2086851646716585272}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0015150624635249947759537331377', 'prec': 110}, 'conductor': 369600, 'gens': [[-2427, 71340, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8010137110704829670270165444', 'prec': 100}], 'lmfdb_label': '369600.ov2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.066466378049373054442577858905', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.0407749687796065150076131564084065904', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[5983, 0, 1]], 'xcoord_integral_points': [-2427, 5983]}
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lmfdb_label 369600.ov2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15345742
{'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '369600.ov2', 'torsion': [2, 2]}
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id: 15345743
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [10]}
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id: 15345744
{'degree': 4, 'field': [3465, 0, -120, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [4]}
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id: 15345745
{'degree': 4, 'field': [9606, 188, -187, -2, 1], 'lmfdb_label': '369600.ov2', 'torsion': [2, 10]}
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id: 15345748
{'degree': 8, 'field': [-4177200, 0, 663200, 0, -7080, 0, 0, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [6]}
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id: 15345746
{'degree': 8, 'field': [1600, 0, -24400, 0, 6705, 0, -160, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [2, 4]}
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id: 15345749
{'degree': 8, 'field': [75076, 0, -14788, 0, 1269, 0, -52, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [20]}
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id: 15345747
{'degree': 8, 'field': [409600, 0, 108000, 0, 6940, 0, 120, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [2, 4]}
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id: 15345750
{'degree': 16, 'field': [4626916, 193842064, -68650920, -225720880, 52911824, 67238424, -14799788, -6089120, 985941, 343384, -54368, -7992, 1514, -112, 36, -8, 1], 'lmfdb_label': '369600.ov2', 'torsion': [8]}
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id: 15345754
{'degree': 16, 'field': [156650256, 0, 17141597496, 0, 10040229972, 0, 135632168, 0, 1672100, 0, -197908, 0, -1328, 0, 4, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [30]}
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id: 15345753
{'degree': 16, 'field': [6911594496, 0, 3540014112, 0, 709452880, 0, 79892592, 0, 5740664, 0, 270618, 0, 8105, 0, 138, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [2, 20]}
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id: 15345752
{'degree': 16, 'field': [54450355716, 0, -11380234548, 0, 1128923845, 0, -51542658, 0, 2846619, 0, -104192, 0, 3195, 0, -42, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [2, 20]}
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id: 15345751
{'degree': 16, 'field': [1967471709786, 22407294327264, 25365605963973, 2072696998746, -131479804203, -1060871457184, 137638480673, -9031852246, 1897795049, 30102080, 10577279, 265342, 4423, 640, -5, -2, 1], 'lmfdb_label': '369600.ov2', 'torsion': [2, 6]}
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id: 15345755
{'degree': 20, 'field': [1848320, 0, 1172480, 0, 358656, 0, -52480, 0, -55296, 0, -75360, 0, -24144, 0, -4960, 0, -516, 0, -10, 0, 1], 'lmfdb_label': '369600.ov2', 'torsion': [10]}
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ec_localdata • Show schema
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id: 9145202
{'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 38, 'j_denominator_valuation': 20, 'kodaira_symbol': -32, 'lmfdb_label': '369600.ov2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9145203
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '369600.ov2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 9145204
{'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '369600.ov2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9145205
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '369600.ov2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9145206
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.ov2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3964795
{'adelic_gens': [[4619, 0, 0, 9239], [1866, 5, 295, 82], [5864, 9235, 7185, 4634], [1, 0, 20, 1], [1, 20, 0, 1], [11, 16, 9000, 8891], [9221, 20, 9220, 21], [7699, 9220, 7690, 9039], [4639, 9220, 4640, 9219], [1336, 5, 2595, 4606], [9229, 9224, 4860, 4969], [6929, 9220, 0, 9239], [1, 10, 10, 101]], 'adelic_image': '9240.288.5.?', 'conductor': 369600, 'lmfdb_label': '369600.ov2', 'prime': 0}
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id: 1269330
{'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.ov2', 'modell_image': '2B', 'prime': 2}
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id: 1269331
{'conductor': 369600, 'elladic_image': '5.12.0.1', 'lmfdb_label': '369600.ov2', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 369600.ov does not appear in ec_padic