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ec_curvedata • Show schema
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{'Ciso': '211600n', 'Clabel': '211600n1', 'Cnumber': 1, 'abc_quality': 0.9081211807485804, 'absD': 97336000000000, 'adelic_genus': 1, 'adelic_index': 24, 'adelic_level': 690, 'ainvs': [0, 1, 0, -6133, 507363], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 211600, 'degree': 746496, 'elladic_images': ['3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3696681187282997901801686189', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-32768, 125], 'lmfdb_iso': '211600.m', 'lmfdb_label': '211600.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -15, -69], 'min_quad_twist_disc': -20, 'modell_images': ['3Ns'], 'modm_images': ['3.6.0.b.1', '30.12.0.b.1', '69.12.0.a.1', '230.2.0.?', '690.24.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6026615016788098511705368555', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91207157203098312923913137712', 'prec': 107}, 'szpiro_ratio': 3.2461003007800193, '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, -3, 0, 1, 0, 6, 0, -4, 0, 0, 0, -3, 0, -6, 0], 'aplist': [0, -2, 0, -3, 6, -4, -3, -6, 0, 3, 5, -3, 9, -12, -6, -3, 9, 6, 9, -9, 2, 6, 9, -6, 6], 'class_deg': 1, 'class_size': 1, 'conductor': 211600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '211600.m', 'trace_hash': 497035781359041740}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.064613220498223007046464689500', 'prec': 107}, 'conductor': 211600, 'gens': [[38, 575, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6026615016788098511705368555', 'prec': 100}], 'lmfdb_label': '211600.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.52385561558958087096963440973', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3582529101747001243291798645263775049', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [38]}
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lmfdb_label 211600.m1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 9242378
{'degree': 3, 'field': [-3, 5, -1, 1], 'lmfdb_label': '211600.m1', 'torsion': [2]}
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id: 9242380
{'degree': 4, 'field': [-575, 0, 115, 0, 1], 'lmfdb_label': '211600.m1', 'torsion': [3]}
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id: 9242379
{'degree': 4, 'field': [6900, 0, -115, 0, 1], 'lmfdb_label': '211600.m1', 'torsion': [3]}
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id: 9242381
{'degree': 6, 'field': [151, -23, 28, -11, 8, -3, 1], 'lmfdb_label': '211600.m1', 'torsion': [2, 2]}
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id: 9242382
{'degree': 8, 'field': [330625, 0, 66125, 0, 13800, 0, -115, 0, 1], 'lmfdb_label': '211600.m1', 'torsion': [3, 3]}
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id: 9242383
{'degree': 12, 'field': [5153, -6032, -12516, 2306, 4987, -3536, -3056, -1052, -27, 52, -4, -6, 1], 'lmfdb_label': '211600.m1', 'torsion': [4]}
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id: 9242384
{'degree': 12, 'field': [785100, -498000, 334060, -271400, 64316, 22060, -10564, -220, 1266, -40, -54, 0, 1], 'lmfdb_label': '211600.m1', 'torsion': [6]}
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id: 9242385
{'degree': 12, 'field': [993465, -2840040, 587239, -993810, 213490, -140032, 32013, -9984, 2234, -342, 75, -4, 1], 'lmfdb_label': '211600.m1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 5243975
{'conductor': 211600, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '211600.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 5243976
{'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '211600.m1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 5243977
{'conductor': 211600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '211600.m1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3017511
{'adelic_gens': [[685, 6, 684, 7], [1, 6, 0, 461], [306, 5, 127, 6], [2, 3, 3, 5], [418, 3, 549, 688], [1, 6, 0, 1], [1, 0, 6, 1]], 'adelic_image': '690.24.1.?', 'conductor': 211600, 'lmfdb_label': '211600.m1', 'prime': 0}
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id: 780171
{'conductor': 211600, 'elladic_image': '3.6.0.1', 'lmfdb_label': '211600.m1', 'modell_image': '3Ns', 'prime': 3}
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lmfdb_iso 211600.m does not appear in ec_padic