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ec_curvedata • Show schema
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{'Ciso': '304200h', 'Clabel': '304200h2', 'Cnumber': 2, 'abc_quality': 1.176660194171514, 'absD': 152234930075904000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [0, 0, 0, -357435, -80080650], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 304200, 'degree': 3440640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0734337085902404275792258643', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [5606442, 169], 'lmfdb_iso': '304200.h', 'lmfdb_label': '304200.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -235, 1350], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '104.6.0.?', '260.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79609150809639108009445975292', 'prec': 107}, 'szpiro_ratio': 3.958177049216342, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, 2, 0], 'aplist': [0, 0, 0, -4, -2, 0, -4, 2, 2, -6, -8, 6, 10, 4, 0, 6, 6, 2, -4, -12, -2, 8, 12, 14, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 304200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '304200.h', 'trace_hash': 1810596858969559925}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.015813877254626657138663145498', 'prec': 107}, 'conductor': 304200, 'gens': [], 'heights': [], 'lmfdb_label': '304200.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19561456947360130290058618102', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5649165557888104232046894481681567761', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-390, 0, 1]], 'xcoord_integral_points': [-390]}
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lmfdb_label 304200.h1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12857700
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '304200.h1', 'torsion': [2, 2]}
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id: 12857701
{'degree': 4, 'field': [90, 0, 75, 0, 1], 'lmfdb_label': '304200.h1', 'torsion': [4]}
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id: 12857704
{'degree': 8, 'field': [-372134, -87224, -2186, 442, 2764, -296, -44, -2, 1], 'lmfdb_label': '304200.h1', 'torsion': [6]}
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id: 12857702
{'degree': 8, 'field': [-63674, 79456, -21440, -5816, 2649, 164, -110, -4, 1], 'lmfdb_label': '304200.h1', 'torsion': [2, 4]}
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id: 12857703
{'degree': 8, 'field': [27556, 0, 3636, 0, 461, 0, 36, 0, 1], 'lmfdb_label': '304200.h1', 'torsion': [2, 4]}
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id: 12857706
{'degree': 16, 'field': [8014561, 0, -28527260, 0, 34631392, 0, -14356280, 0, 2347654, 0, -79100, 0, -2852, 0, 40, 0, 1], 'lmfdb_label': '304200.h1', 'torsion': [2, 6]}
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id: 12857705
{'degree': 16, 'field': [69822496, -63714528, 65611184, -24889984, 5073992, -1523688, 191228, 87496, -27024, -5576, 388, 1088, 72, -46, -11, -2, 1], 'lmfdb_label': '304200.h1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 7533785
{'conductor': 304200, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '304200.h1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 7533786
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '304200.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7533787
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '304200.h1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7533788
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '304200.h1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3576154
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [41, 4, 82, 9], [1, 4, 0, 1], [457, 66, 64, 455], [2, 1, 259, 0], [517, 4, 516, 5], [108, 1, 103, 0]], 'adelic_image': '520.12.0.?', 'conductor': 304200, 'lmfdb_label': '304200.h1', 'prime': 0}
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id: 1070918
{'conductor': 304200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '304200.h1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 304200.h does not appear in ec_padic