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ec_curvedata • Show schema
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{'Ciso': '195195d', 'Clabel': '195195d3', 'Cnumber': 3, 'abc_quality': 1.0486804101109977, 'absD': 438365233224598913090983125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 0, -3530504390, 80736117970767], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 195195, 'degree': 148635648, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1518314937108402177695780395', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [1008263082603610603475953129, 90818848068071248125], 'lmfdb_iso': '195195.q', 'lmfdb_label': '195195.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -20890559, 36746739857], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '154.6.0.?', '308.12.0.?', '364.12.0.?', '572.12.0.?', '616.24.0.?', '728.24.0.?', '1144.24.0.?', '4004.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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': '2.8693568149800718497428343187', 'prec': 100}, 'szpiro_ratio': 6.367533003407836, '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, 3, 1, -1, -1, -1, 0, -1, 1, -1, -2, -1, 4, -1], 'aplist': [-1, 1, 1, 1, -1, 0, -2, 4, 8, 6, 4, 2, -6, 8, 4, -10, 0, 10, 4, 8, 10, -4, 12, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 195195, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '195195.q', 'trace_hash': 1159773579239810322}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00024760817829674372350197279347', 'prec': 113}, 'conductor': 195195, 'gens': [], 'heights': [], 'lmfdb_label': '195195.q1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.050568755217507009262194200548', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2364003339204485927804288350862112076', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[138207, -138207, 2]], 'xcoord_integral_points': []}
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lmfdb_label 195195.q1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8582364
{'degree': 2, 'field': [-143, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [4]}
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id: 8582363
{'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [4]}
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id: 8582362
{'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '195195.q1', 'torsion': [2, 2]}
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id: 8582365
{'degree': 4, 'field': [169, 0, -117, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [2, 4]}
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id: 8582366
{'degree': 4, 'field': [308, 0, -84, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [8]}
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id: 8582370
{'degree': 8, 'field': [-1216875, -957375, -132325, 31500, 3225, -165, -45, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [6]}
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id: 8582368
{'degree': 8, 'field': [480249, 0, 0, 0, -902, 0, 0, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [8]}
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id: 8582369
{'degree': 8, 'field': [826849, 212012, -199066, -25648, 12215, 728, -238, -4, 1], 'lmfdb_label': '195195.q1', 'torsion': [2, 8]}
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id: 8582367
{'degree': 8, 'field': [3705625, 0, 0, 0, 3157, 0, 0, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [2, 4]}
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id: 8582375
{'degree': 16, 'field': [121550625, 0, -944622000, 0, 3005062200, 0, -3014366761, 0, 79595012, 0, -740971, 0, 10801, 0, -182, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [12]}
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id: 8582372
{'degree': 16, 'field': [294877584, 0, -419727168, 0, 114452608, 0, 24642080, 0, 6344232, 0, -10064, 0, 5088, 0, 8, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [2, 8]}
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id: 8582371
{'degree': 16, 'field': [139915646809, -25446825590, 2314040450, 980860244, 1753703217, -235592014, 17281642, 6278422, 8835556, -876796, 39088, -7574, -903, -56, 8, -4, 1], 'lmfdb_label': '195195.q1', 'torsion': [4, 4]}
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id: 8582376
{'degree': 16, 'field': [1685394145809, 1802937484260, -109446715674, -701217455940, -222924767780, 70281227610, 3461917473, -1171094130, 49874115, -4376070, -2067807, 291420, 1182, -1650, -90, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [12]}
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id: 8582374
{'degree': 16, 'field': [3602584943125, -1817955549375, 273836568125, 80818331250, 977560375, -4886224875, 559053450, 100430325, -59158950, 6927825, -641160, 21255, 2944, -903, 65, -6, 1], 'lmfdb_label': '195195.q1', 'torsion': [2, 6]}
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id: 8582373
{'degree': 16, 'field': [4031196008398661025, 0, -6935824718239032, 0, -555680286971964, 0, 585358217136, 0, 15606514539, 0, -22386672, 0, 184212, 0, -1344, 0, 1], 'lmfdb_label': '195195.q1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 4834290
{'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '195195.q1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 4834291
{'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '195195.q1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 4834292
{'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '195195.q1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 4834293
{'conductor': 195195, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '195195.q1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 4834294
{'conductor': 195195, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '195195.q1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2916540
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [7011, 7010, 5018, 1011], [1, 4, 4, 17], [2920, 3, 5829, 2], [5724, 1, 6887, 6], [3079, 8000, 4308, 7975], [3011, 3004, 3050, 7013], [7, 6, 8002, 8003], [8001, 8, 8000, 9]], 'adelic_image': '8008.48.0.?', 'conductor': 195195, 'lmfdb_label': '195195.q1', 'prime': 0}
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id: 726253
{'conductor': 195195, 'elladic_image': '8.12.0.6', 'lmfdb_label': '195195.q1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 195195.q does not appear in ec_padic