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ec_curvedata • Show schema
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{'Ciso': '242550nj', 'Clabel': '242550nj4', 'Cnumber': 4, 'abc_quality': 0.9545154988484323, 'absD': 40715149120401705468750, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -38808230, -92536241353], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 242550, 'degree': 31850496, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1757978870213717241620745190', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 347, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4823468134087681, 30382271150], 'lmfdb_iso': '242550.nj', 'lmfdb_label': '242550.nj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3520, -80238], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '56.6.0.a.1', '105.8.0.?', '120.24.0.?', '168.24.0.?', '210.24.0.?', '220.6.0.?', '264.24.0.?', '660.24.0.?', '840.48.0.?', '924.24.0.?', '1320.48.0.?', '1848.48.0.?', '3080.12.0.?', '4620.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.8970081331417351759408374671', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84881771194261003861139586220', 'prec': 103}, 'szpiro_ratio': 5.164627953273897, '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, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, -6, 0, -2, 0], 'aplist': [1, 0, 0, 0, 1, 2, -6, -2, -6, 0, -8, -8, 0, 4, 0, 12, 12, 10, 4, 12, 14, -10, 0, -18, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 242550, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '242550.nj', 'trace_hash': 2278163332326967035}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0017439619453805321955007041508', 'prec': 110}, 'conductor': 242550, 'gens': [[152989, 40700865, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '7.8970081331417351759408374671', 'prec': 100}], 'lmfdb_label': '242550.nj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.060510868767052160844980023141', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.468515747125194766217499033371972076', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-13509, 13505, 2]], 'xcoord_integral_points': []}
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lmfdb_label 242550.nj1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10465385
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [2, 2]}
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id: 10465386
{'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '242550.nj1', 'torsion': [6]}
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id: 10465388
{'degree': 4, 'field': [36, 0, -2, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [2, 6]}
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id: 10465387
{'degree': 4, 'field': [2016, 0, -87, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [4]}
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id: 10465389
{'degree': 6, 'field': [-1280, 0, 0, -170, 0, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [6]}
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id: 10465392
{'degree': 8, 'field': [54756, 0, -486, 0, 297, 0, 36, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [12]}
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id: 10465391
{'degree': 8, 'field': [469330, -86820, 54214, -4124, 2699, -28, 126, -4, 1], 'lmfdb_label': '242550.nj1', 'torsion': [2, 4]}
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id: 10465390
{'degree': 8, 'field': [4449670, 264120, -261076, -6064, 2973, 68, -18, -4, 1], 'lmfdb_label': '242550.nj1', 'torsion': [2, 4]}
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id: 10465393
{'degree': 12, 'field': [14259, 52920, 76692, 49980, 9795, -2580, 640, 1140, 105, -20, 12, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [3, 6]}
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id: 10465394
{'degree': 12, 'field': [45796, 0, -46656, 0, 17100, 0, -13780, 0, 1560, 0, -66, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [2, 6]}
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id: 10465397
{'degree': 16, 'field': [8059921, 0, -4140568, 0, 2018624, 0, -169272, 0, 8654, 0, -3912, 0, 992, 0, -40, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [2, 12]}
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id: 10465396
{'degree': 16, 'field': [2121523600, 0, 2172808960, 0, 522364304, 0, -19570208, 0, 2452156, 0, -99568, 0, 980, 0, 56, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [2, 12]}
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id: 10465395
{'degree': 16, 'field': [17864620942336, 0, -1154437215232, 0, 37918147008, 0, -728033824, 0, 19703625, 0, -331114, 0, 3818, 0, -42, 0, 1], 'lmfdb_label': '242550.nj1', 'torsion': [8]}
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id: 10465398
{'degree': 18, 'field': [196851555699, -55660967577, 69865796547, 36946918272, -16948466034, 6712539066, -237200248, -698419284, 349230111, -80858179, 17130573, -1604964, 166872, 5802, -606, 448, -39, -9, 1], 'lmfdb_label': '242550.nj1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 6012318
{'conductor': 242550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '242550.nj1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 6012319
{'conductor': 242550, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '242550.nj1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6012320
{'conductor': 242550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '242550.nj1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 6012321
{'conductor': 242550, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '242550.nj1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6012322
{'conductor': 242550, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '242550.nj1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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ec_galrep • Show schema
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id: 3205676
{'adelic_gens': [[2521, 12, 5886, 73], [3079, 9228, 7700, 9239], [10, 3, 4593, 9232], [11, 2, 9190, 9231], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [1, 12, 0, 1], [2630, 9237, 3987, 8], [6546, 5017, 1925, 386], [5543, 9228, 5538, 9167]], 'adelic_image': '9240.96.1.?', 'conductor': 242550, 'lmfdb_label': '242550.nj1', 'prime': 0}
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id: 878309
{'conductor': 242550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '242550.nj1', 'modell_image': '2B', 'prime': 2}
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id: 878310
{'conductor': 242550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '242550.nj1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 242550.nj does not appear in ec_padic