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ec_curvedata • Show schema
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{'Ciso': '9240h', 'Clabel': '9240h3', 'Cnumber': 3, 'abc_quality': 0.8933278986703831, 'absD': 152127360000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -2520, -44100], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9240, 'degree': 12288, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88673555919748586394753320008', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [1729010797924, 148561875], 'lmfdb_iso': '9240.l', 'lmfdb_label': '9240.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2520, -44100], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '44.24.0-44.h.1.1', '280.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.73121064917812258720087707118', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 11], [3, 4, 3080], [5, 6, 1848], [7, 8, 1320], [11, 12, 840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30911290873086477276650643220', 'prec': 103}, 'szpiro_ratio': 3.84502242566046, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 1, 0, 6, 0, -1, 0, -6, 0, -4, 0], 'aplist': [0, -1, 1, -1, 1, 6, -6, -4, -4, 6, -4, 6, -2, -4, 0, 14, 0, -6, -8, -8, -14, 0, 4, -14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 9240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '9240.l', 'trace_hash': 1694558680776607833}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.16974276781075196381943411808', 'prec': 103}, 'conductor': 9240, 'gens': [[-30, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73121064917812258720087707118', 'prec': 103}], 'lmfdb_label': '9240.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.67749614157759147971569098319', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9631391479889913223695442844287417005', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-35, 0, 1]], 'xcoord_integral_points': [-35, -30, 65, 210]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '9240.l2'}
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ec_torsion_growth • Show schema
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id: 479829
{'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 2]}
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id: 479830
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [4]}
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id: 479831
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '9240.l2', 'torsion': [4]}
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id: 479832
{'degree': 4, 'field': [-2, -28, -4, -2, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 4]}
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id: 479833
{'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 4]}
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id: 479837
{'degree': 8, 'field': [-43923, 0, 6292, 0, -726, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [6]}
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id: 479834
{'degree': 8, 'field': [625, -50, 2, 94, -41, -10, 8, -4, 1], 'lmfdb_label': '9240.l2', 'torsion': [4, 4]}
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id: 479835
{'degree': 8, 'field': [9801, 0, 0, 0, -117, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [8]}
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id: 479836
{'degree': 8, 'field': [234256, 0, 0, 0, -572, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [8]}
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id: 479842
{'degree': 16, 'field': [3759721, -24346084, 78826568, -76728336, 36860756, 1598404, -240176, 280248, -154370, 32052, 4168, -1696, 404, -84, 32, -8, 1], 'lmfdb_label': '9240.l2', 'torsion': [12]}
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id: 479843
{'degree': 16, 'field': [30187305, -46541160, 4895640, 74997072, -16728246, -25008660, 8433040, 2860, -104313, 62744, -5236, -5268, 1970, -532, 96, -8, 1], 'lmfdb_label': '9240.l2', 'torsion': [12]}
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id: 479839
{'degree': 16, 'field': [87974100, -54577800, -17244900, -6483240, 10672254, -214272, 1173258, -270648, 89689, 2124, -1562, 144, -48, -36, -20, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 8]}
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id: 479841
{'degree': 16, 'field': [214358881, 0, -155897368, 0, 14816692, 0, -6527224, 0, 676390, 0, -53944, 0, 1012, 0, -88, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 6]}
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id: 479840
{'degree': 16, 'field': [218596225, 0, -25862620, 0, 6354926, 0, -746052, 0, 44939, 0, -516, 0, 314, 0, 8, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 8]}
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id: 479838
{'degree': 16, 'field': [2295943056, 0, 0, 0, -151797888, 0, 0, 0, 1272744, 0, 0, 0, -3168, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 193551
{'conductor': 9240, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9240.l2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 193552
{'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9240.l2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 193553
{'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.l2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 193554
{'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.l2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 193555
{'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9240.l2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1725024
{'adelic_gens': [[2201, 8, 2644, 33], [1, 0, 8, 1], [3073, 8, 3072, 9], [2696, 1163, 2699, 2728], [617, 8, 2468, 33], [7, 6, 3074, 3075], [844, 1, 2543, 6], [2699, 2698, 1938, 395], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '3080.48.0.?', 'conductor': 9240, 'lmfdb_label': '9240.l2', 'prime': 0}
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id: 44839
{'conductor': 9240, 'elladic_image': '4.12.0.8', 'lmfdb_label': '9240.l2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 386854
{'lmfdb_iso': '9240.l', 'p': 13, 'prec': 20, 'unit': 1006641786274103531143, 'val': 1}
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id: 386856
{'lmfdb_iso': '9240.l', 'p': 17, 'prec': 20, 'unit': 176908730103199056117096, 'val': 1}
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id: 386847
{'lmfdb_iso': '9240.l', 'p': 19, 'prec': 20, 'unit': 77101339681031492844393, 'val': 1}
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id: 386860
{'lmfdb_iso': '9240.l', 'p': 23, 'prec': 20, 'unit': 72621819436488297610986472, 'val': 1}
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id: 386855
{'lmfdb_iso': '9240.l', 'p': 29, 'prec': 20, 'unit': 2496314784093096865153865168, 'val': 1}
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id: 386863
{'lmfdb_iso': '9240.l', 'p': 31, 'prec': 20, 'unit': 18017044405940100492565968200, 'val': 1}
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id: 386850
{'lmfdb_iso': '9240.l', 'p': 37, 'prec': 20, 'unit': 266957175314295727129844494987, 'val': 1}
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id: 386852
{'lmfdb_iso': '9240.l', 'p': 41, 'prec': 20, 'unit': 2597020862310686334079258404745, 'val': 1}
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id: 386853
{'lmfdb_iso': '9240.l', 'p': 43, 'prec': 20, 'unit': 7839682662625923878939135408020, 'val': 1}
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id: 386858
{'lmfdb_iso': '9240.l', 'p': 53, 'prec': 20, 'unit': 101001712997794079940977613663658, 'val': 1}
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id: 386862
{'lmfdb_iso': '9240.l', 'p': 61, 'prec': 20, 'unit': 7170630472969325793783409454292403, 'val': 1}
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id: 386849
{'lmfdb_iso': '9240.l', 'p': 67, 'prec': 20, 'unit': 23754946185558696853017556218476477, 'val': 1}
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id: 386851
{'lmfdb_iso': '9240.l', 'p': 71, 'prec': 20, 'unit': 31643042604189854677999915852206477, 'val': 1}
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id: 386859
{'lmfdb_iso': '9240.l', 'p': 73, 'prec': 20, 'unit': 203988587943616443598511204114141038, 'val': 1}
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id: 386857
{'lmfdb_iso': '9240.l', 'p': 83, 'prec': 20, 'unit': 1696923552484524051167469113104480899, 'val': 1}
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id: 386861
{'lmfdb_iso': '9240.l', 'p': 89, 'prec': 20, 'unit': 10068289368890117312906354448862390668, 'val': 1}
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id: 386848
{'lmfdb_iso': '9240.l', 'p': 97, 'prec': 20, 'unit': 9233998139953654230065158564780744524, 'val': 1}