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ec_curvedata • Show schema
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{'Ciso': '111090d', 'Clabel': '111090d1', 'Cnumber': 1, 'abc_quality': 1.0893414506710792, 'absD': 8958993076341521080217763840000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [1, 1, 0, -5201161073, 10311006718677], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 111090, 'degree': 296755200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.6287669103365339795733879124', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [8639211347488146591503, 4974033166663680000], 'lmfdb_iso': '111090.d', 'lmfdb_label': '111090.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -9832062, -851731596], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.e.1', '184.6.0.?', '322.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0080945872157260170044689823', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2771462483896717114683232885', 'prec': 100}, 'szpiro_ratio': 6.776501627225883, '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, -1, 1, 1, -1, 1, 1, -2, -1, 4, -1, 1, 1, -6, -1, 0, -1], 'aplist': [-1, -1, -1, 1, -2, 4, -6, 0, 0, -6, -2, 2, -10, 10, -2, 10, -4, 2, -2, -8, 10, 0, 0, -14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 111090, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '111090.d', 'trace_hash': 1241604453141970727}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.000095390284847756088484451892148', 'prec': 117}, 'conductor': 111090, 'gens': [[3347906, 6122665247, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.0080945872157260170044689823', 'prec': 100}], 'lmfdb_label': '111090.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.019718794612915095912598011811', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3172267290476665418211002099108063731', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[71106, -35553, 1]], 'xcoord_integral_points': [71106, 3347906]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': 'a', '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '111090.d2'}
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ec_torsion_growth • Show schema
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id: 5112415
{'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '111090.d2', 'torsion': [2, 2]}
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id: 5112416
{'degree': 4, 'field': [243, 34, -33, -2, 1], 'lmfdb_label': '111090.d2', 'torsion': [4]}
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id: 5112417
{'degree': 8, 'field': [20164, 0, -18690, 0, 2209, 0, -84, 0, 1], 'lmfdb_label': '111090.d2', 'torsion': [2, 4]}
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id: 5112418
{'degree': 8, 'field': [396400, -179240, 54179, -9726, 1250, 48, -4, -2, 1], 'lmfdb_label': '111090.d2', 'torsion': [2, 4]}
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id: 5112419
{'degree': 8, 'field': [2259440, 664064, -125272, 33056, -2173, -592, 1, -2, 1], 'lmfdb_label': '111090.d2', 'torsion': [6]}
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id: 5112421
{'degree': 16, 'field': [-2070811136000, -1027152145920, 26882041472, 124387716128, 21348897184, -5174835608, -1870371892, 57669212, 84264505, 5459102, -1886659, -248546, 10396, 1958, -127, -6, 1], 'lmfdb_label': '111090.d2', 'torsion': [2, 6]}
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id: 5112420
{'degree': 16, 'field': [20627450916, 27764866576, -17889931208, -18748811376, 6914171914, 2834392696, -750927072, -160987984, 33834623, 4165304, -725032, -56928, 7850, 728, -84, -8, 1], 'lmfdb_label': '111090.d2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 2730857
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 30, 'j_denominator_valuation': 30, 'kodaira_symbol': 34, 'lmfdb_label': '111090.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2730858
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '111090.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2730859
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '111090.d2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2730860
{'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '111090.d2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 2730861
{'conductor': 111090, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '111090.d2', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2391648
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [809, 484, 160, 1127], [370, 1, 1103, 0], [1285, 4, 1284, 5], [1124, 1, 1007, 0], [645, 4, 2, 9]], 'adelic_image': '1288.12.0.?', 'conductor': 111090, 'lmfdb_label': '111090.d2', 'prime': 0}
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id: 440804
{'conductor': 111090, 'elladic_image': '2.3.0.1', 'lmfdb_label': '111090.d2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 5796426
{'lmfdb_iso': '111090.d', 'p': 11, 'prec': 20, 'unit': 43572522750080498367, 'val': 1}
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id: 5796432
{'lmfdb_iso': '111090.d', 'p': 13, 'prec': 20, 'unit': 244449497008446247964, 'val': 1}
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id: 5796434
{'lmfdb_iso': '111090.d', 'p': 17, 'prec': 20, 'unit': 21103118764872318402886, 'val': 1}
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id: 5796431
{'lmfdb_iso': '111090.d', 'p': 29, 'prec': 20, 'unit': 863925798910266407695835702, 'val': 1}
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id: 5796441
{'lmfdb_iso': '111090.d', 'p': 31, 'prec': 20, 'unit': 444566769301812172183217029, 'val': 2}
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id: 5796427
{'lmfdb_iso': '111090.d', 'p': 37, 'prec': 20, 'unit': 494352866499246801022614342816, 'val': 1}
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id: 5796429
{'lmfdb_iso': '111090.d', 'p': 41, 'prec': 20, 'unit': 1187630996225616862148593452800, 'val': 1}
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id: 5796430
{'lmfdb_iso': '111090.d', 'p': 43, 'prec': 20, 'unit': 99857083734408556978732012937, 'val': 2}
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id: 5796433
{'lmfdb_iso': '111090.d', 'p': 47, 'prec': 20, 'unit': 35882892746508879378286128214671, 'val': 1}
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id: 5796436
{'lmfdb_iso': '111090.d', 'p': 53, 'prec': 20, 'unit': 531637001043967241442014845519648, 'val': 1}
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id: 5796439
{'lmfdb_iso': '111090.d', 'p': 59, 'prec': 20, 'unit': 747295005912888668823236572516937, 'val': 1}
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id: 5796440
{'lmfdb_iso': '111090.d', 'p': 61, 'prec': 20, 'unit': 3080377871248340816897107377698605, 'val': 1}
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id: 5796435
{'lmfdb_iso': '111090.d', 'p': 67, 'prec': 20, 'unit': 31310940727671117189531200805983708, 'val': 1}
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id: 5796428
{'lmfdb_iso': '111090.d', 'p': 71, 'prec': 20, 'unit': 107976303831559682216821349700769245, 'val': 1}
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id: 5796437
{'lmfdb_iso': '111090.d', 'p': 73, 'prec': 20, 'unit': 31091487537840038842954970606638465, 'val': 1}
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id: 5796438
{'lmfdb_iso': '111090.d', 'p': 89, 'prec': 20, 'unit': 10891689777401465130423325701066345774, 'val': 1}
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id: 5796425
{'lmfdb_iso': '111090.d', 'p': 97, 'prec': 20, 'unit': 47960484899546448115033934269280690081, 'val': 1}