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ec_curvedata • Show schema
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{'Ciso': '357390o', 'Clabel': '357390o1', 'Cnumber': 1, 'abc_quality': 0.8878974164818143, 'absD': 81976202304156895680, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [1, -1, 0, 284220, -431763440], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 357390, 'degree': 9338880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5010671179639722837044866409', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [10793861, 348480], 'lmfdb_iso': '357390.o', 'lmfdb_label': '357390.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 87, -2324], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '190.6.0.?', '456.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '14.491955306801527911933368305', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25656826074491290699990655148', 'prec': 107}, 'szpiro_ratio': 4.167618009442779, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, 0, -1, 0, 1, -1, 0, -2, 0, 0, 1, 0, 0, 0, -1], 'aplist': [-1, 0, -1, 0, -1, -2, 0, 0, -2, 0, 2, -6, 6, 6, 6, -6, -6, -10, -4, -12, -6, -10, 0, 10, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 357390, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '357390.o', 'trace_hash': 7545520404157381}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0067235819651578725698406905408', 'prec': 110}, 'conductor': 357390, 'gens': [[728, 12308, 1], [2576, 130580, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.8352307025663494277921873148', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.1443944740984085359372927173', 'prec': 100}], 'lmfdb_label': '357390.o2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.092708501256106919873389116056', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.748219654112438350342061446214538005', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[632, -316, 1]], 'xcoord_integral_points': [632, 728, 857, 2576]}
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lmfdb_label 357390.o2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14889699
{'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '357390.o2', 'torsion': [2, 2]}
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id: 14889700
{'degree': 4, 'field': [-1001, -10, 11, -2, 1], 'lmfdb_label': '357390.o2', 'torsion': [4]}
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id: 14889703
{'degree': 8, 'field': [-38988, 0, -7581, 0, -684, 0, 0, 0, 1], 'lmfdb_label': '357390.o2', 'torsion': [6]}
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id: 14889702
{'degree': 8, 'field': [352836, 0, 5994, 0, 657, 0, 36, 0, 1], 'lmfdb_label': '357390.o2', 'torsion': [2, 4]}
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id: 14889701
{'degree': 8, 'field': [1354896, 0, 148152, 0, 5464, 0, -2, 0, 1], 'lmfdb_label': '357390.o2', 'torsion': [2, 4]}
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id: 14889704
{'degree': 16, 'field': [1272757248, -3855955968, 3330040320, 1052158464, -527675232, 4025280, -4648224, 2398560, -21407, -438824, 142492, -31640, 6790, -728, 124, -8, 1], 'lmfdb_label': '357390.o2', 'torsion': [8]}
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id: 14889705
{'degree': 16, 'field': [19416029184, 8036976384, 6957132480, -374510592, 636824736, 45564624, 51673536, 2736000, 2348679, 258438, 38667, -7692, -60, -288, 49, -2, 1], 'lmfdb_label': '357390.o2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8845485
{'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '357390.o2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8845486
{'conductor': 357390, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '357390.o2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8845487
{'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '357390.o2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8845488
{'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '357390.o2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8845489
{'conductor': 357390, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '357390.o2', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3893044
{'adelic_gens': [[844, 1, 359, 0], [914, 1, 1823, 0], [1, 2, 2, 5], [761, 4, 1522, 9], [1, 4, 0, 1], [2277, 4, 2276, 5], [1141, 4, 2, 9], [857, 1426, 1424, 855], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2280.12.0.?', 'conductor': 357390, 'lmfdb_label': '357390.o2', 'prime': 0}
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id: 1233567
{'conductor': 357390, 'elladic_image': '2.3.0.1', 'lmfdb_label': '357390.o2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 357390.o does not appear in ec_padic