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ec_curvedata • Show schema
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{'Ciso': '233450h', 'Clabel': '233450h2', 'Cnumber': 2, 'abc_quality': 0.9189098192983496, 'absD': 3989624023437500000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 37352, 'ainvs': [1, 0, 1, -2788901, -1790313552], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 233450, 'degree': 7925760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4649584648406487376343787196', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [153533360697467784769, 255335937500000], 'lmfdb_iso': '233450.h', 'lmfdb_label': '233450.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -111556, -14367131], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '5336.6.0.?', '37352.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9696863636262566072002676198', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6602395086235985503339990530', 'prec': 100}, 'szpiro_ratio': 4.541568977422996, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -2, 1, 0, 2, 1, -1, 1, 0, -4, -2, -4, -1, 0, 1, -6, -1, 0, 0], 'aplist': [-1, -2, 0, 1, -4, -4, -6, 0, 1, -1, 4, 2, 4, -4, 0, -10, 0, -8, 0, -4, -4, -4, 2, 18, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 233450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '233450.h', 'trace_hash': 2142520914804948623}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0072271036142417249220634791035', 'prec': 110}, 'conductor': 233450, 'gens': [[1928, -376, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.9696863636262566072002676198', 'prec': 100}], 'lmfdb_label': '233450.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11683815223841691010088545956', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8623268572915996759040062582512095255', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-3737, 3733, 2]], 'xcoord_integral_points': [1928]}
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lmfdb_label 233450.h1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10102689
{'degree': 2, 'field': [-1334, 0, 1], 'lmfdb_label': '233450.h1', 'torsion': [2, 2]}
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id: 10102690
{'degree': 4, 'field': [33350, 0, -365, 0, 1], 'lmfdb_label': '233450.h1', 'torsion': [4]}
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id: 10102693
{'degree': 8, 'field': [-16216875, 0, -967000, 0, -13950, 0, 0, 0, 1], 'lmfdb_label': '233450.h1', 'torsion': [6]}
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id: 10102692
{'degree': 8, 'field': [1787576, -2393552, 2922476, -1056396, 524569, 4352, -1446, -4, 1], 'lmfdb_label': '233450.h1', 'torsion': [2, 4]}
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id: 10102691
{'degree': 8, 'field': [395220811, 11479684, -11893998, 829192, -416005, 1688, -558, -4, 1], 'lmfdb_label': '233450.h1', 'torsion': [2, 4]}
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id: 10102694
{'degree': 16, 'field': [9658893056636228864, -1686280172747040064, 93710860367926904, 117819721048592, 23274250298380, -112776778343388, 5258587605397, 131279639054, 24547625179, -375141660, 40320053, -1589018, 121189, -3724, -701, -2, 1], 'lmfdb_label': '233450.h1', 'torsion': [8]}
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id: 10102695
{'degree': 16, 'field': [474445305683178393600, 0, -43735287142411038720, 0, 322963080443513856, 0, -1068191330276096, 0, 1933765204736, 0, -3349215104, 0, 2868100, 0, -2668, 0, 1], 'lmfdb_label': '233450.h1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 5785156
{'conductor': 233450, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '233450.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 5785157
{'conductor': 233450, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '233450.h1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 5785158
{'conductor': 233450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '233450.h1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 5785159
{'conductor': 233450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '233450.h1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 5785160
{'conductor': 233450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '233450.h1', 'prime': 29, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3150129
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [5337, 4, 10674, 9], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 18675, 0], [32684, 4673, 23345, 14008], [37349, 4, 37348, 5], [6442, 1, 15455, 0], [27610, 1, 4871, 0]], 'adelic_image': '37352.12.0.?', 'conductor': 233450, 'lmfdb_label': '233450.h1', 'prime': 0}
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id: 849106
{'conductor': 233450, 'elladic_image': '2.3.0.1', 'lmfdb_label': '233450.h1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 233450.h does not appear in ec_padic