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ec_curvedata • Show schema
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{'Ciso': '225400f', 'Clabel': '225400f1', 'Cnumber': 1, 'abc_quality': 0.9933605740437487, 'absD': 1731793280000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 92, 'ainvs': [0, 1, 0, -10208, -395312], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 225400, 'degree': 506880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1515511728521454185653836147', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1], 'jinv': [1562500, 23], 'lmfdb_iso': '225400.v', 'lmfdb_label': '225400.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -208, 1212], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['92.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93550585628683245003523930265', 'prec': 107}, 'szpiro_ratio': 3.1890034029140493, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 5, 0, 5, 0, 0, 0, 4, 0, -1, 0], 'aplist': [0, -2, 0, 0, 5, 5, 4, -1, -1, 9, 2, -2, -3, -7, 12, 12, 6, 10, -8, 2, -1, -11, -9, 14, 16], 'class_deg': 1, 'class_size': 1, 'conductor': 225400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '225400.v', 'trace_hash': 2215922465692353697}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.099948288104187576517796513270', 'prec': 107}, 'conductor': 225400, 'gens': [], 'heights': [], 'lmfdb_label': '225400.v1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.47538780622545297742498740732', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8523268373527178645499244439321908422', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 225400.v1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9795605
{'degree': 3, 'field': [2, -8, -1, 1], 'lmfdb_label': '225400.v1', 'torsion': [2]}
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id: 9795606
{'degree': 6, 'field': [8, 52, 53, -22, -26, -2, 1], 'lmfdb_label': '225400.v1', 'torsion': [2, 2]}
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id: 9795607
{'degree': 8, 'field': [81, 0, -108, -882, -828, -294, -12, 0, 1], 'lmfdb_label': '225400.v1', 'torsion': [3]}
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id: 9795608
{'degree': 12, 'field': [195616, 206320, 86072, 52176, 15336, -6252, -1640, 718, -791, 116, -1, -4, 1], 'lmfdb_label': '225400.v1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 5590705
{'conductor': 225400, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '225400.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 5590706
{'conductor': 225400, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '225400.v1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 5590707
{'conductor': 225400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '225400.v1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5590708
{'conductor': 225400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '225400.v1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [1, 0, 2, 1], [47, 2, 47, 3], [91, 2, 90, 3], [1, 1, 91, 0]], 'adelic_image': '92.2.0.?', 'conductor': 225400, 'lmfdb_label': '225400.v1', 'prime': 0}
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lmfdb_iso 225400.v does not appear in ec_padic