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ec_curvedata • Show schema
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{'Ciso': '308550h', 'Clabel': '308550h4', 'Cnumber': 4, 'abc_quality': 1.0120982194921988, 'absD': 39875031982702097652796875000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -7516845250, 250655549321500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 637009920, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4151478971942426924481478121', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1696892787277117093383481, 1440538624914939000], 'lmfdb_iso': '308550.h', 'lmfdb_label': '308550.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2484908, -1506795694], 'min_quad_twist_disc': -55, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.4', '40.12.0-4.c.1.5', '120.96.0.?', '165.8.0.?', '264.96.1.?', '330.24.0.?', '408.96.0.?', '660.48.0.?', '748.12.0.?', '1020.48.0.?', '1320.192.1.?', '2040.192.1.?', '2244.48.0.?', '4488.192.1.?', '7480.24.0.?', '11220.96.0.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963565', 'prec': 100}, 'szpiro_ratio': 6.316227780643776, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, -4, -1, 1, 0, 0, -1, 2, 4, 0, 1, -1, -1, 4, 0], 'aplist': [-1, -1, 0, -4, 0, 2, -1, 4, 0, 6, 8, 10, -6, -4, -12, -6, 12, -2, -8, -12, 2, -8, -12, -6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 308550, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '308550.h', 'trace_hash': 133235012071059853}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00014623497760066678010575568027', 'prec': 113}, 'conductor': 308550, 'gens': [], 'heights': [], 'lmfdb_label': '308550.h4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.036074346213706753174798604758', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.28859476970965402539838883806312527352', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[204635, -204635, 2]], 'xcoord_integral_points': []}
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lmfdb_label 308550.h4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13024133
{'degree': 2, 'field': [-510, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 2]}
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id: 13024134
{'degree': 2, 'field': [-330, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [4]}
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id: 13024135
{'degree': 2, 'field': [-187, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [4]}
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id: 13024136
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '308550.h4', 'torsion': [6]}
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id: 13024139
{'degree': 4, 'field': [70, -40, 41, -2, 1], 'lmfdb_label': '308550.h4', 'torsion': [12]}
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id: 13024137
{'degree': 4, 'field': [2025, 0, -420, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 4]}
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id: 13024140
{'degree': 4, 'field': [4624, 0, -51, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [12]}
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id: 13024138
{'degree': 4, 'field': [166464, 0, 306, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 6]}
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id: 13024141
{'degree': 6, 'field': [-26364, -1014, -2093, -213, -10, -3, 1], 'lmfdb_label': '308550.h4', 'torsion': [6]}
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id: 13024143
{'degree': 8, 'field': [3597289, 377092, -363694, -26600, 12811, 584, -190, -4, 1], 'lmfdb_label': '308550.h4', 'torsion': [8]}
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id: 13024145
{'degree': 8, 'field': [24661156, 0, -768828, 0, 11453, 0, -78, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 12]}
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id: 13024142
{'degree': 8, 'field': [113496931, -7555292, 7543046, 24304, -11681, -568, 194, -4, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 4]}
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id: 13024144
{'degree': 8, 'field': [175138756, 0, -6110232, 0, 89689, 0, -513, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [8]}
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id: 13024149
{'degree': 12, 'field': [289, 0, 0, 0, 0, 0, -36686, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [12]}
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id: 13024147
{'degree': 12, 'field': [18496, 0, 0, 0, 0, 0, -293488, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 6]}
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id: 13024146
{'degree': 12, 'field': [6864400, 0, 2837540, 0, 507861, 0, 51583, 0, 2868, 0, 83, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [3, 6]}
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id: 13024148
{'degree': 12, 'field': [931042116, 119220192, 97169076, 14964852, 3631999, 1045278, 1225, 14070, -2718, -306, -23, -6, 1], 'lmfdb_label': '308550.h4', 'torsion': [12]}
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id: 13024155
{'degree': 16, 'field': [268753336, 790668560, 580855028, -67361580, 4545145, 12480270, -9750182, -2745710, 1186814, 86240, -66658, -110, 3390, -110, -78, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [24]}
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id: 13024151
{'degree': 16, 'field': [15184083848976, 0, -3939071834880, 0, 388283195376, 0, -19643973120, 0, 565905996, 0, -9573120, 0, 93276, 0, -480, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 8]}
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id: 13024154
{'degree': 16, 'field': [23566364430400, 0, -3762343875840, 0, 279573483376, 0, -12065836992, 0, 326387169, 0, -5638836, 0, 60694, 0, -372, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [24]}
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id: 13024152
{'degree': 16, 'field': [1006626070571641, 0, 39838466936884, 0, 3116829022012, 0, 86062507852, 0, 1487296990, 0, 15105868, 0, 110572, 0, 436, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 8]}
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id: 13024153
{'degree': 16, 'field': [4490229668198976, 0, 56922436098432, 0, 1926894102048, 0, 19211982624, 0, 256497300, 0, 269424, 0, 24468, 0, -48, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [2, 12]}
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id: 13024150
{'degree': 16, 'field': [12881553346418761, 0, -1655142705578388, 0, 54613275289630, 0, 141357327552, 0, 3257308479, 0, -10425672, 0, 9730, 0, -372, 0, 1], 'lmfdb_label': '308550.h4', 'torsion': [4, 4]}
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id: 13024156
{'degree': 18, 'field': [10234575519617205, 85072464374355, -16655510884365, 21525793642800, -8532275046570, -1883491689825, 305362704339, 67364339877, 14043527793, -704265090, -256881465, -10801368, 916096, 332544, 12615, -2195, -102, -6, 1], 'lmfdb_label': '308550.h4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 7640622
{'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '308550.h4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7640623
{'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '308550.h4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7640624
{'conductor': 308550, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '308550.h4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 7640625
{'conductor': 308550, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '308550.h4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7640626
{'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '308550.h4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3602029
{'adelic_gens': [[7936, 21, 12915, 22066], [1, 12, 12, 145], [4079, 22416, 4068, 22151], [5614, 3, 5655, 34], [16, 11223, 3281, 7394], [15, 106, 21134, 13211], [22417, 24, 22416, 25], [1, 24, 0, 1], [13448, 22419, 285, 374], [17766, 21529, 12155, 15896], [1, 0, 24, 1]], 'adelic_image': '22440.384.5.?', 'conductor': 308550, 'lmfdb_label': '308550.h4', 'prime': 0}
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id: 1084341
{'conductor': 308550, 'elladic_image': '4.6.0.1', 'lmfdb_label': '308550.h4', 'modell_image': '2B', 'prime': 2}
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id: 1084342
{'conductor': 308550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '308550.h4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 308550.h does not appear in ec_padic