-
ec_curvedata • Show schema
Hide schema
{'Ciso': '304200fu', 'Clabel': '304200fu3', 'Cnumber': 3, 'abc_quality': 1.028760101088483, 'absD': 1482094872133200000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, 0, 0, -21354852675, 1201138210736750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 304200, 'degree': 198180864, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2286001883110578756913201822', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 150, 'isogeny_degrees': [1, 2, 4], 'jinv': [19129597231400697604, 26325], 'lmfdb_iso': '304200.fu', 'lmfdb_label': '304200.fu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -561600, -162177552], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0.i.1', '26.6.0.b.1', '52.12.0.g.1', '60.12.0-4.c.1.1', '104.24.0.?', '120.24.0.?', '208.48.1.?', '240.48.0.?', '312.48.0.?', '520.48.0.?', '624.96.1.?', '780.24.0.?', '1040.96.3.?', '1560.96.0.?', '3120.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.527753441174740934220631020', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0144777585625633834855474085', 'prec': 100}, 'szpiro_ratio': 6.571433013859745, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 0, 4, 0, 0, 2, 0, 0, 2, 4, 6, -6, -4, 4, -10, 0, -2, 8, 4, -6, -8, -8, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 304200, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '304200.fu', 'trace_hash': 1767987172167469864}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.00021236578341171466279100847461', 'prec': 113}, 'conductor': 304200, 'gens': [[68049176299, 9867350428076232, 713]], 'heights': [{'__RealLiteral__': 0, 'data': '19.527753441174740934220631020', 'prec': 100}], 'lmfdb_label': '304200.fu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.068017258866190643510821102402', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.625794087068219973902766035411477652', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[84370, 0, 1]], 'xcoord_integral_points': [84370]}
-
lmfdb_label 304200.fu1 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 12859344
{'degree': 2, 'field': [-195, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [4]}
-
id: 12859343
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [4]}
-
id: 12859342
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '304200.fu1', 'torsion': [2, 2]}
-
id: 12859345
{'degree': 4, 'field': [129, 36, -35, -2, 1], 'lmfdb_label': '304200.fu1', 'torsion': [2, 4]}
-
id: 12859349
{'degree': 8, 'field': [-2851875, 0, 429000, 0, 5850, 0, 0, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [6]}
-
id: 12859347
{'degree': 8, 'field': [169, 0, -1352, 0, 975, 0, -104, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [2, 8]}
-
id: 12859348
{'degree': 8, 'field': [37249, 0, -9366, 0, 887, 0, -42, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [8]}
-
id: 12859346
{'degree': 8, 'field': [43264, 0, 0, 0, 364, 0, 0, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [2, 4]}
-
id: 12859351
{'degree': 16, 'field': [4761, 0, 27924, 0, 41146, 0, -50236, 0, 20859, 0, -4724, 0, 618, 0, -40, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [2, 8]}
-
id: 12859353
{'degree': 16, 'field': [4826809, 0, 0, 0, -566748, 0, 0, 0, 85058, 0, 0, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [16]}
-
id: 12859355
{'degree': 16, 'field': [6597184, 2191360, -61895808, -184480960, -262229440, -213024672, -98404064, -21038912, 907920, 1225840, 143752, 5184, 3452, 140, 0, -8, 1], 'lmfdb_label': '304200.fu1', 'torsion': [12]}
-
id: 12859350
{'degree': 16, 'field': [6832996, 0, 2834840, 0, -60760, 0, -113148, 0, 16853, 0, 420, 0, -154, 0, 8, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [4, 4]}
-
id: 12859356
{'degree': 16, 'field': [499522500, 0, -178161000, 0, 22978900, 0, -6339900, 0, -104100, 0, 7160, 0, -480, 0, 0, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [12]}
-
id: 12859352
{'degree': 16, 'field': [2339947129, 0, 0, 0, -44249244, 0, 0, 0, 594242, 0, 0, 0, -348, 0, 0, 0, 1], 'lmfdb_label': '304200.fu1', 'torsion': [16]}
-
id: 12859354
{'degree': 16, 'field': [2521918881, -413837424, 444003336, -59161536, 26571078, 3868776, -1785096, 561192, -316877, 127216, -35264, 5752, -1262, 112, 4, -8, 1], 'lmfdb_label': '304200.fu1', 'torsion': [2, 6]}
-
ec_localdata • Show schema
Hide schema
-
id: 7534677
{'conductor': 304200, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '304200.fu1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
-
id: 7534678
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '304200.fu1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 7534679
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '304200.fu1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
id: 7534680
{'conductor': 304200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '304200.fu1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
-
ec_galrep • Show schema
Hide schema
-
id: 3576137
{'adelic_gens': [[1039, 0, 0, 3119], [1, 16, 0, 1], [15, 166, 2834, 3075], [1567, 2610, 1962, 2023], [1, 8, 8, 65], [1241, 2070, 1482, 2117], [2341, 786, 912, 403], [2546, 3117, 867, 2060], [1, 0, 16, 1], [3105, 16, 3104, 17]], 'adelic_image': '3120.192.3.?', 'conductor': 304200, 'lmfdb_label': '304200.fu1', 'prime': 0}
-
id: 1070904
{'conductor': 304200, 'elladic_image': '16.24.0.15', 'lmfdb_label': '304200.fu1', 'modell_image': '2B', 'prime': 2}
-
lmfdb_iso 304200.fu does not appear in ec_padic