LMFDB - Dirichlet character search results

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Results (1-50 of 192 matches)

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Minimal
2736.a	$\chi_{2736}(1, \cdot)$	$2736$	$1$	$1$	$\Q$	$\Q$	even	✓
2736.b	$\chi_{2736}(2735, \cdot)$	$2736$	$228$	$2$	$\Q(\sqrt{-57}) $	$\Q$	odd	✓	✓
2736.c	$\chi_{2736}(343, \cdot)$	$2736$	$8$	$2$	$\Q(\sqrt{-2}) $	$\Q$	odd	✓
2736.d	$\chi_{2736}(2015, \cdot)$	$2736$	$12$	$2$	$\Q(\sqrt{3}) $	$\Q$	even	✓	✓
2736.e	$\chi_{2736}(1063, \cdot)$	$2736$	$152$	$2$	$\Q(\sqrt{38}) $	$\Q$	even	✓
2736.f	$\chi_{2736}(1025, \cdot)$	$2736$	$57$	$2$	$\Q(\sqrt{57}) $	$\Q$	even	✓
2736.g	$\chi_{2736}(1369, \cdot)$	$2736$	$8$	$2$	$\Q(\sqrt{2}) $	$\Q$	even	✓
2736.h	$\chi_{2736}(305, \cdot)$	$2736$	$3$	$2$	$\Q(\sqrt{-3}) $	$\Q$	odd	✓
2736.i	$\chi_{2736}(2089, \cdot)$	$2736$	$152$	$2$	$\Q(\sqrt{-38}) $	$\Q$	odd	✓
2736.j	$\chi_{2736}(647, \cdot)$	$2736$	$24$	$2$	$\Q(\sqrt{6}) $	$\Q$	even	✓
2736.k	$\chi_{2736}(2431, \cdot)$	$2736$	$76$	$2$	$\Q(\sqrt{19}) $	$\Q$	even	✓	✓
2736.l	$\chi_{2736}(1367, \cdot)$	$2736$	$456$	$2$	$\Q(\sqrt{-114}) $	$\Q$	odd	✓
2736.m	$\chi_{2736}(1711, \cdot)$	$2736$	$4$	$2$	$\Q(\sqrt{-1}) $	$\Q$	odd	✓	✓
2736.n	$\chi_{2736}(1673, \cdot)$	$2736$	$24$	$2$	$\Q(\sqrt{-6}) $	$\Q$	odd	✓
2736.o	$\chi_{2736}(721, \cdot)$	$2736$	$19$	$2$	$\Q(\sqrt{-19}) $	$\Q$	odd	✓
2736.p	$\chi_{2736}(2393, \cdot)$	$2736$	$456$	$2$	$\Q(\sqrt{114}) $	$\Q$	even	✓
2736.q	$\chi_{2736}(913, \cdot)$$,$ $\chi_{2736}(1825, \cdot)$	$2736$	$9$	$3$	$\Q(\zeta_{9})^+$	$\mathbb{Q}(\zeta_3)$	even
2736.r	$\chi_{2736}(49, \cdot)$$,$ $\chi_{2736}(2401, \cdot)$	$2736$	$171$	$3$	3.3.29241.1	$\mathbb{Q}(\zeta_3)$	even
2736.s	$\chi_{2736}(577, \cdot)$$,$ $\chi_{2736}(1873, \cdot)$	$2736$	$19$	$3$	3.3.361.1	$\mathbb{Q}(\zeta_3)$	even
2736.t	$\chi_{2736}(961, \cdot)$$,$ $\chi_{2736}(1489, \cdot)$	$2736$	$171$	$3$	3.3.29241.2	$\mathbb{Q}(\zeta_3)$	even
2736.u	$\chi_{2736}(341, \cdot)$$,$ $\chi_{2736}(1709, \cdot)$	$2736$	$912$	$4$	4.4.6653952.1	$\mathbb{Q}(i)$	even		✓
2736.v	$\chi_{2736}(989, \cdot)$$,$ $\chi_{2736}(2357, \cdot)$	$2736$	$48$	$4$	4.0.18432.2	$\mathbb{Q}(i)$	odd		✓
2736.w	$\chi_{2736}(37, \cdot)$$,$ $\chi_{2736}(1405, \cdot)$	$2736$	$304$	$4$	4.0.739328.2	$\mathbb{Q}(i)$	odd		✓
2736.x	$\chi_{2736}(685, \cdot)$$,$ $\chi_{2736}(2053, \cdot)$	$2736$	$16$	$4$	$\Q(\zeta_{16})^+$	$\mathbb{Q}(i)$	even		✓
2736.y	$\chi_{2736}(1331, \cdot)$$,$ $\chi_{2736}(2699, \cdot)$	$2736$	$48$	$4$	4.4.18432.1	$\mathbb{Q}(i)$	even		✓
2736.z	$\chi_{2736}(683, \cdot)$$,$ $\chi_{2736}(2051, \cdot)$	$2736$	$912$	$4$	4.0.6653952.2	$\mathbb{Q}(i)$	odd		✓
2736.ba	$\chi_{2736}(1027, \cdot)$$,$ $\chi_{2736}(2395, \cdot)$	$2736$	$16$	$4$	4.0.2048.2	$\mathbb{Q}(i)$	odd		✓
2736.bb	$\chi_{2736}(379, \cdot)$$,$ $\chi_{2736}(1747, \cdot)$	$2736$	$304$	$4$	4.4.739328.1	$\mathbb{Q}(i)$	even		✓
2736.bc	$\chi_{2736}(2041, \cdot)$$,$ $\chi_{2736}(2425, \cdot)$	$2736$	$1368$	$6$	6.0.8317790995968.4	$\mathbb{Q}(\zeta_3)$	odd
2736.bd	$\chi_{2736}(353, \cdot)$$,$ $\chi_{2736}(2705, \cdot)$	$2736$	$171$	$6$	6.0.2565108243.2	$\mathbb{Q}(\zeta_3)$	odd
2736.be	$\chi_{2736}(121, \cdot)$$,$ $\chi_{2736}(2329, \cdot)$	$2736$	$1368$	$6$	6.6.437778473472.1	$\mathbb{Q}(\zeta_3)$	even
2736.bf	$\chi_{2736}(65, \cdot)$$,$ $\chi_{2736}(2273, \cdot)$	$2736$	$171$	$6$	6.6.48737056617.1	$\mathbb{Q}(\zeta_3)$	even
2736.bg	$\chi_{2736}(1015, \cdot)$$,$ $\chi_{2736}(1399, \cdot)$	$2736$	$1368$	$6$	6.6.8317790995968.1	$\mathbb{Q}(\zeta_3)$	even
2736.bh	$\chi_{2736}(1679, \cdot)$$,$ $\chi_{2736}(2063, \cdot)$	$2736$	$684$	$6$	6.6.164166927552.1	$\mathbb{Q}(\zeta_3)$	even		✓
2736.bi	$\chi_{2736}(1303, \cdot)$$,$ $\chi_{2736}(1831, \cdot)$	$2736$	$1368$	$6$	6.0.437778473472.8	$\mathbb{Q}(\zeta_3)$	odd
2736.bj	$\chi_{2736}(1247, \cdot)$$,$ $\chi_{2736}(1775, \cdot)$	$2736$	$684$	$6$	6.0.3119171623488.3	$\mathbb{Q}(\zeta_3)$	odd		✓
2736.bk	$\chi_{2736}(847, \cdot)$$,$ $\chi_{2736}(2287, \cdot)$	$2736$	$76$	$6$	6.0.8340544.1	$\mathbb{Q}(\zeta_3)$	odd		✓
2736.bl	$\chi_{2736}(791, \cdot)$$,$ $\chi_{2736}(2231, \cdot)$	$2736$	$456$	$6$	6.0.34229592576.1	$\mathbb{Q}(\zeta_3)$	odd
2736.bm	$\chi_{2736}(559, \cdot)$$,$ $\chi_{2736}(1855, \cdot)$	$2736$	$76$	$6$	6.6.158470336.1	$\mathbb{Q}(\zeta_3)$	even		✓
2736.bn	$\chi_{2736}(1223, \cdot)$$,$ $\chi_{2736}(2519, \cdot)$	$2736$	$456$	$6$	6.6.1801557504.1	$\mathbb{Q}(\zeta_3)$	even
2736.bo	$\chi_{2736}(1969, \cdot)$$,$ $\chi_{2736}(2497, \cdot)$	$2736$	$171$	$6$	6.0.16245685539.2	$\mathbb{Q}(\zeta_3)$	odd
2736.bp	$\chi_{2736}(425, \cdot)$$,$ $\chi_{2736}(2633, \cdot)$	$2736$	$1368$	$6$	6.0.1313335420416.3	$\mathbb{Q}(\zeta_3)$	odd
2736.bq	$\chi_{2736}(569, \cdot)$$,$ $\chi_{2736}(1481, \cdot)$	$2736$	$1368$	$6$	6.6.69122916864.1	$\mathbb{Q}(\zeta_3)$	even
2736.br	$\chi_{2736}(761, \cdot)$$,$ $\chi_{2736}(2585, \cdot)$	$2736$	$72$	$6$	6.0.10077696.1	$\mathbb{Q}(\zeta_3)$	odd
2736.bs	$\chi_{2736}(1633, \cdot)$$,$ $\chi_{2736}(2545, \cdot)$	$2736$	$171$	$6$	6.0.45001899.1	$\mathbb{Q}(\zeta_3)$	odd
2736.bt	$\chi_{2736}(2345, \cdot)$$,$ $\chi_{2736}(2729, \cdot)$	$2736$	$1368$	$6$	6.6.24953372987904.1	$\mathbb{Q}(\zeta_3)$	even
2736.bu	$\chi_{2736}(943, \cdot)$$,$ $\chi_{2736}(1471, \cdot)$	$2736$	$684$	$6$	6.6.1039723874496.2	$\mathbb{Q}(\zeta_3)$	even		✓
2736.bv	$\chi_{2736}(1607, \cdot)$$,$ $\chi_{2736}(2135, \cdot)$	$2736$	$1368$	$6$	6.6.1313335420416.3	$\mathbb{Q}(\zeta_3)$	even
2736.bw	$\chi_{2736}(455, \cdot)$$,$ $\chi_{2736}(2279, \cdot)$	$2736$	$1368$	$6$	6.0.69122916864.1	$\mathbb{Q}(\zeta_3)$	odd
2736.bx	$\chi_{2736}(799, \cdot)$$,$ $\chi_{2736}(2623, \cdot)$	$2736$	$36$	$6$	6.0.419904.1	$\mathbb{Q}(\zeta_3)$	odd		✓

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Elliptic curves over $\Q$
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Results (1-50 of 192 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Minimal
2736.a	\(\chi_{2736}(1, \cdot)\)	$2736$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓
2736.b	\(\chi_{2736}(2735, \cdot)\)	$2736$	$228$	$2$	\(\Q(\sqrt{-57}) \)	\(\Q\)	odd	✓	✓
2736.c	\(\chi_{2736}(343, \cdot)\)	$2736$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓
2736.d	\(\chi_{2736}(2015, \cdot)\)	$2736$	$12$	$2$	\(\Q(\sqrt{3}) \)	\(\Q\)	even	✓	✓
2736.e	\(\chi_{2736}(1063, \cdot)\)	$2736$	$152$	$2$	\(\Q(\sqrt{38}) \)	\(\Q\)	even	✓
2736.f	\(\chi_{2736}(1025, \cdot)\)	$2736$	$57$	$2$	\(\Q(\sqrt{57}) \)	\(\Q\)	even	✓
2736.g	\(\chi_{2736}(1369, \cdot)\)	$2736$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓
2736.h	\(\chi_{2736}(305, \cdot)\)	$2736$	$3$	$2$	\(\Q(\sqrt{-3}) \)	\(\Q\)	odd	✓
2736.i	\(\chi_{2736}(2089, \cdot)\)	$2736$	$152$	$2$	\(\Q(\sqrt{-38}) \)	\(\Q\)	odd	✓
2736.j	\(\chi_{2736}(647, \cdot)\)	$2736$	$24$	$2$	\(\Q(\sqrt{6}) \)	\(\Q\)	even	✓
2736.k	\(\chi_{2736}(2431, \cdot)\)	$2736$	$76$	$2$	\(\Q(\sqrt{19}) \)	\(\Q\)	even	✓	✓
2736.l	\(\chi_{2736}(1367, \cdot)\)	$2736$	$456$	$2$	\(\Q(\sqrt{-114}) \)	\(\Q\)	odd	✓
2736.m	\(\chi_{2736}(1711, \cdot)\)	$2736$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓	✓
2736.n	\(\chi_{2736}(1673, \cdot)\)	$2736$	$24$	$2$	\(\Q(\sqrt{-6}) \)	\(\Q\)	odd	✓
2736.o	\(\chi_{2736}(721, \cdot)\)	$2736$	$19$	$2$	\(\Q(\sqrt{-19}) \)	\(\Q\)	odd	✓
2736.p	\(\chi_{2736}(2393, \cdot)\)	$2736$	$456$	$2$	\(\Q(\sqrt{114}) \)	\(\Q\)	even	✓
2736.q	\(\chi_{2736}(913, \cdot)\)$,$ \(\chi_{2736}(1825, \cdot)\)	$2736$	$9$	$3$	\(\Q(\zeta_{9})^+\)	\(\mathbb{Q}(\zeta_3)\)	even
2736.r	\(\chi_{2736}(49, \cdot)\)$,$ \(\chi_{2736}(2401, \cdot)\)	$2736$	$171$	$3$	3.3.29241.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.s	\(\chi_{2736}(577, \cdot)\)$,$ \(\chi_{2736}(1873, \cdot)\)	$2736$	$19$	$3$	3.3.361.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.t	\(\chi_{2736}(961, \cdot)\)$,$ \(\chi_{2736}(1489, \cdot)\)	$2736$	$171$	$3$	3.3.29241.2	\(\mathbb{Q}(\zeta_3)\)	even
2736.u	\(\chi_{2736}(341, \cdot)\)$,$ \(\chi_{2736}(1709, \cdot)\)	$2736$	$912$	$4$	4.4.6653952.1	\(\mathbb{Q}(i)\)	even		✓
2736.v	\(\chi_{2736}(989, \cdot)\)$,$ \(\chi_{2736}(2357, \cdot)\)	$2736$	$48$	$4$	4.0.18432.2	\(\mathbb{Q}(i)\)	odd		✓
2736.w	\(\chi_{2736}(37, \cdot)\)$,$ \(\chi_{2736}(1405, \cdot)\)	$2736$	$304$	$4$	4.0.739328.2	\(\mathbb{Q}(i)\)	odd		✓
2736.x	\(\chi_{2736}(685, \cdot)\)$,$ \(\chi_{2736}(2053, \cdot)\)	$2736$	$16$	$4$	\(\Q(\zeta_{16})^+\)	\(\mathbb{Q}(i)\)	even		✓
2736.y	\(\chi_{2736}(1331, \cdot)\)$,$ \(\chi_{2736}(2699, \cdot)\)	$2736$	$48$	$4$	4.4.18432.1	\(\mathbb{Q}(i)\)	even		✓
2736.z	\(\chi_{2736}(683, \cdot)\)$,$ \(\chi_{2736}(2051, \cdot)\)	$2736$	$912$	$4$	4.0.6653952.2	\(\mathbb{Q}(i)\)	odd		✓
2736.ba	\(\chi_{2736}(1027, \cdot)\)$,$ \(\chi_{2736}(2395, \cdot)\)	$2736$	$16$	$4$	4.0.2048.2	\(\mathbb{Q}(i)\)	odd		✓
2736.bb	\(\chi_{2736}(379, \cdot)\)$,$ \(\chi_{2736}(1747, \cdot)\)	$2736$	$304$	$4$	4.4.739328.1	\(\mathbb{Q}(i)\)	even		✓
2736.bc	\(\chi_{2736}(2041, \cdot)\)$,$ \(\chi_{2736}(2425, \cdot)\)	$2736$	$1368$	$6$	6.0.8317790995968.4	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bd	\(\chi_{2736}(353, \cdot)\)$,$ \(\chi_{2736}(2705, \cdot)\)	$2736$	$171$	$6$	6.0.2565108243.2	\(\mathbb{Q}(\zeta_3)\)	odd
2736.be	\(\chi_{2736}(121, \cdot)\)$,$ \(\chi_{2736}(2329, \cdot)\)	$2736$	$1368$	$6$	6.6.437778473472.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.bf	\(\chi_{2736}(65, \cdot)\)$,$ \(\chi_{2736}(2273, \cdot)\)	$2736$	$171$	$6$	6.6.48737056617.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.bg	\(\chi_{2736}(1015, \cdot)\)$,$ \(\chi_{2736}(1399, \cdot)\)	$2736$	$1368$	$6$	6.6.8317790995968.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.bh	\(\chi_{2736}(1679, \cdot)\)$,$ \(\chi_{2736}(2063, \cdot)\)	$2736$	$684$	$6$	6.6.164166927552.1	\(\mathbb{Q}(\zeta_3)\)	even		✓
2736.bi	\(\chi_{2736}(1303, \cdot)\)$,$ \(\chi_{2736}(1831, \cdot)\)	$2736$	$1368$	$6$	6.0.437778473472.8	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bj	\(\chi_{2736}(1247, \cdot)\)$,$ \(\chi_{2736}(1775, \cdot)\)	$2736$	$684$	$6$	6.0.3119171623488.3	\(\mathbb{Q}(\zeta_3)\)	odd		✓
2736.bk	\(\chi_{2736}(847, \cdot)\)$,$ \(\chi_{2736}(2287, \cdot)\)	$2736$	$76$	$6$	6.0.8340544.1	\(\mathbb{Q}(\zeta_3)\)	odd		✓
2736.bl	\(\chi_{2736}(791, \cdot)\)$,$ \(\chi_{2736}(2231, \cdot)\)	$2736$	$456$	$6$	6.0.34229592576.1	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bm	\(\chi_{2736}(559, \cdot)\)$,$ \(\chi_{2736}(1855, \cdot)\)	$2736$	$76$	$6$	6.6.158470336.1	\(\mathbb{Q}(\zeta_3)\)	even		✓
2736.bn	\(\chi_{2736}(1223, \cdot)\)$,$ \(\chi_{2736}(2519, \cdot)\)	$2736$	$456$	$6$	6.6.1801557504.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.bo	\(\chi_{2736}(1969, \cdot)\)$,$ \(\chi_{2736}(2497, \cdot)\)	$2736$	$171$	$6$	6.0.16245685539.2	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bp	\(\chi_{2736}(425, \cdot)\)$,$ \(\chi_{2736}(2633, \cdot)\)	$2736$	$1368$	$6$	6.0.1313335420416.3	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bq	\(\chi_{2736}(569, \cdot)\)$,$ \(\chi_{2736}(1481, \cdot)\)	$2736$	$1368$	$6$	6.6.69122916864.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.br	\(\chi_{2736}(761, \cdot)\)$,$ \(\chi_{2736}(2585, \cdot)\)	$2736$	$72$	$6$	6.0.10077696.1	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bs	\(\chi_{2736}(1633, \cdot)\)$,$ \(\chi_{2736}(2545, \cdot)\)	$2736$	$171$	$6$	6.0.45001899.1	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bt	\(\chi_{2736}(2345, \cdot)\)$,$ \(\chi_{2736}(2729, \cdot)\)	$2736$	$1368$	$6$	6.6.24953372987904.1	\(\mathbb{Q}(\zeta_3)\)	even
2736.bu	\(\chi_{2736}(943, \cdot)\)$,$ \(\chi_{2736}(1471, \cdot)\)	$2736$	$684$	$6$	6.6.1039723874496.2	\(\mathbb{Q}(\zeta_3)\)	even		✓
2736.bv	\(\chi_{2736}(1607, \cdot)\)$,$ \(\chi_{2736}(2135, \cdot)\)	$2736$	$1368$	$6$	6.6.1313335420416.3	\(\mathbb{Q}(\zeta_3)\)	even
2736.bw	\(\chi_{2736}(455, \cdot)\)$,$ \(\chi_{2736}(2279, \cdot)\)	$2736$	$1368$	$6$	6.0.69122916864.1	\(\mathbb{Q}(\zeta_3)\)	odd
2736.bx	\(\chi_{2736}(799, \cdot)\)$,$ \(\chi_{2736}(2623, \cdot)\)	$2736$	$36$	$6$	6.0.419904.1	\(\mathbb{Q}(\zeta_3)\)	odd		✓