LMFDB - Dirichlet character search results

The results below are complete, since the LMFDB contains all Dirichlet characters with modulus at most a million

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Orbit label	Conrey labels	Modulus	Conductor	Order	Kernel field	Value field	Parity	Real	Minimal
277984.a	$\chi_{277984}(1, \cdot)$	$277984$	$1$	$1$	$\Q$	$\Q$	even	✓	✓
277984.b	$\chi_{277984}(122639, \cdot)$	$277984$	$4088$	$2$	$\Q(\sqrt{1022}) $	$\Q$	even	✓
277984.c	$\chi_{277984}(138993, \cdot)$	$277984$	$8$	$2$	$\Q(\sqrt{2}) $	$\Q$	even	✓
277984.d	$\chi_{277984}(16353, \cdot)$	$277984$	$17$	$2$	$\Q(\sqrt{17}) $	$\Q$	even	✓	✓
277984.e	$\chi_{277984}(277983, \cdot)$	$277984$	$34748$	$2$	$\Q(\sqrt{8687}) $	$\Q$	even	✓	✓
277984.f	$\chi_{277984}(63071, \cdot)$	$277984$	$292$	$2$	$\Q(\sqrt{-73}) $	$\Q$	odd	✓	✓
277984.g	$\chi_{277984}(198561, \cdot)$	$277984$	$7$	$2$	$\Q(\sqrt{-7}) $	$\Q$	odd	✓	✓
277984.h	$\chi_{277984}(75921, \cdot)$	$277984$	$952$	$2$	$\Q(\sqrt{-238}) $	$\Q$	odd	✓
277984.i	$\chi_{277984}(218415, \cdot)$	$277984$	$9928$	$2$	$\Q(\sqrt{-2482}) $	$\Q$	odd	✓
277984.j	$\chi_{277984}(121617, \cdot)$	$277984$	$69496$	$2$	$\Q(\sqrt{-17374}) $	$\Q$	odd	✓
277984.k	$\chi_{277984}(172719, \cdot)$	$277984$	$136$	$2$	$\Q(\sqrt{-34}) $	$\Q$	odd	✓
277984.l	$\chi_{277984}(17375, \cdot)$	$277984$	$4$	$2$	$\Q(\sqrt{-1}) $	$\Q$	odd	✓	✓
277984.m	$\chi_{277984}(244257, \cdot)$	$277984$	$511$	$2$	$\Q(\sqrt{-511}) $	$\Q$	odd	✓	✓
277984.n	$\chi_{277984}(62049, \cdot)$	$277984$	$1241$	$2$	$\Q(\sqrt{1241}) $	$\Q$	even	✓	✓
277984.o	$\chi_{277984}(232287, \cdot)$	$277984$	$476$	$2$	$\Q(\sqrt{119}) $	$\Q$	even	✓	✓
277984.p	$\chi_{277984}(76943, \cdot)$	$277984$	$56$	$2$	$\Q(\sqrt{14}) $	$\Q$	even	✓
277984.q	$\chi_{277984}(184689, \cdot)$	$277984$	$584$	$2$	$\Q(\sqrt{146}) $	$\Q$	even	✓
277984.r	$\chi_{277984}(215935, \cdot)$	$277984$	$28$	$2$	$\Q(\sqrt{7}) $	$\Q$	even	✓	✓
277984.s	$\chi_{277984}(45697, \cdot)$	$277984$	$73$	$2$	$\Q(\sqrt{73}) $	$\Q$	even	✓	✓
277984.t	$\chi_{277984}(201041, \cdot)$	$277984$	$9928$	$2$	$\Q(\sqrt{2482}) $	$\Q$	even	✓
277984.u	$\chi_{277984}(93295, \cdot)$	$277984$	$952$	$2$	$\Q(\sqrt{238}) $	$\Q$	even	✓
277984.v	$\chi_{277984}(156367, \cdot)$	$277984$	$8$	$2$	$\Q(\sqrt{-2}) $	$\Q$	odd	✓
277984.w	$\chi_{277984}(105265, \cdot)$	$277984$	$4088$	$2$	$\Q(\sqrt{-1022}) $	$\Q$	odd	✓
277984.x	$\chi_{277984}(260609, \cdot)$	$277984$	$8687$	$2$	$\Q(\sqrt{-8687}) $	$\Q$	odd	✓	✓
277984.y	$\chi_{277984}(33727, \cdot)$	$277984$	$68$	$2$	$\Q(\sqrt{-17}) $	$\Q$	odd	✓	✓
277984.z	$\chi_{277984}(214913, \cdot)$	$277984$	$119$	$2$	$\Q(\sqrt{-119}) $	$\Q$	odd	✓	✓
277984.ba	$\chi_{277984}(79423, \cdot)$	$277984$	$4964$	$2$	$\Q(\sqrt{-1241}) $	$\Q$	odd	✓	✓
277984.bb	$\chi_{277984}(202063, \cdot)$	$277984$	$584$	$2$	$\Q(\sqrt{-146}) $	$\Q$	odd	✓
277984.bc	$\chi_{277984}(59569, \cdot)$	$277984$	$56$	$2$	$\Q(\sqrt{-14}) $	$\Q$	odd	✓
277984.bd	$\chi_{277984}(155345, \cdot)$	$277984$	$136$	$2$	$\Q(\sqrt{34}) $	$\Q$	even	✓
277984.be	$\chi_{277984}(138991, \cdot)$	$277984$	$69496$	$2$	$\Q(\sqrt{17374}) $	$\Q$	even	✓
277984.bf	$\chi_{277984}(261631, \cdot)$	$277984$	$2044$	$2$	$\Q(\sqrt{511}) $	$\Q$	even	✓	✓
277984.bg	$\chi_{277984}(39713, \cdot)$$,$ $\chi_{277984}(119137, \cdot)$	$277984$	$7$	$3$	$\Q(\zeta_{7})^+$	$\mathbb{Q}(\zeta_3)$	even		✓
277984.bh	$\chi_{277984}(237185, \cdot)$$,$ $\chi_{277984}(268193, \cdot)$	$277984$	$511$	$3$	3.3.261121.1	$\mathbb{Q}(\zeta_3)$	even		✓
277984.bi	$\chi_{277984}(69633, \cdot)$$,$ $\chi_{277984}(157761, \cdot)$	$277984$	$511$	$3$	3.3.261121.2	$\mathbb{Q}(\zeta_3)$	even		✓
277984.bj	$\chi_{277984}(118049, \cdot)$$,$ $\chi_{277984}(228481, \cdot)$	$277984$	$73$	$3$	3.3.5329.1	$\mathbb{Q}(\zeta_3)$	even		✓
277984.bk	$\chi_{277984}(11241, \cdot)$$,$ $\chi_{277984}(215641, \cdot)$	$277984$	$138992$	$4$	deg 4	$\mathbb{Q}(i)$	odd
277984.bl	$\chi_{277984}(127751, \cdot)$$,$ $\chi_{277984}(201335, \cdot)$	$277984$	$272$	$4$	$\Q(\sqrt{-34 +3 \sqrt{34}})$	$\mathbb{Q}(i)$	odd
277984.bm	$\chi_{277984}(187319, \cdot)$$,$ $\chi_{277984}(260903, \cdot)$	$277984$	$1904$	$4$	$\Q(\sqrt{238 +35 \sqrt{34}})$	$\mathbb{Q}(i)$	even
277984.bn	$\chi_{277984}(156073, \cdot)$$,$ $\chi_{277984}(229657, \cdot)$	$277984$	$19856$	$4$	$\Q(\sqrt{2482 +365 \sqrt{34}})$	$\mathbb{Q}(i)$	even
277984.bo	$\chi_{277984}(83831, \cdot)$$,$ $\chi_{277984}(132103, \cdot)$	$277984$	$138992$	$4$	deg 4	$\mathbb{Q}(i)$	even
277984.bp	$\chi_{277984}(188313, \cdot)$$,$ $\chi_{277984}(270857, \cdot)$	$277984$	$138992$	$4$	deg 4	$\mathbb{Q}(i)$	odd
277984.bq	$\chi_{277984}(128745, \cdot)$$,$ $\chi_{277984}(211289, \cdot)$	$277984$	$19856$	$4$	$\Q(\sqrt{2482 +31 \sqrt{2482}})$	$\mathbb{Q}(i)$	even
277984.br	$\chi_{277984}(24263, \cdot)$$,$ $\chi_{277984}(72535, \cdot)$	$277984$	$19856$	$4$	$\Q(\sqrt{-2482 +9 \sqrt{2482}})$	$\mathbb{Q}(i)$	odd
277984.bs	$\chi_{277984}(21489, \cdot)$$,$ $\chi_{277984}(143345, \cdot)$	$277984$	$4088$	$4$	$\Q(\sqrt{-511 +21 \sqrt{73}})$	$\mathbb{Q}(i)$	odd
277984.bt	$\chi_{277984}(83777, \cdot)$$,$ $\chi_{277984}(239905, \cdot)$	$277984$	$73$	$4$	$\Q(\sqrt{146 -6 \sqrt{73}})$	$\mathbb{Q}(i)$	even		✓
277984.bu	$\chi_{277984}(118287, \cdot)$$,$ $\chi_{277984}(240143, \cdot)$	$277984$	$584$	$4$	$\Q(\sqrt{-73 +3 \sqrt{73}})$	$\mathbb{Q}(i)$	odd
277984.bv	$\chi_{277984}(21727, \cdot)$$,$ $\chi_{277984}(177855, \cdot)$	$277984$	$2044$	$4$	$\Q(\sqrt{1022 +42 \sqrt{73}})$	$\mathbb{Q}(i)$	even		✓
277984.bw	$\chi_{277984}(117503, \cdot)$$,$ $\chi_{277984}(273631, \cdot)$	$277984$	$4964$	$4$	$\Q(\sqrt{-2482 +102 \sqrt{73}})$	$\mathbb{Q}(i)$	odd		✓
277984.bx	$\chi_{277984}(55215, \cdot)$$,$ $\chi_{277984}(177071, \cdot)$	$277984$	$69496$	$4$	deg 4	$\mathbb{Q}(i)$	even

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Elliptic curves over $\Q$
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Results (1-50 of at least 1000)

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
277984.a	\(\chi_{277984}(1, \cdot)\)	$277984$	$1$	$1$	\(\Q\)	\(\Q\)	even	✓	✓
277984.b	\(\chi_{277984}(122639, \cdot)\)	$277984$	$4088$	$2$	\(\Q(\sqrt{1022}) \)	\(\Q\)	even	✓
277984.c	\(\chi_{277984}(138993, \cdot)\)	$277984$	$8$	$2$	\(\Q(\sqrt{2}) \)	\(\Q\)	even	✓
277984.d	\(\chi_{277984}(16353, \cdot)\)	$277984$	$17$	$2$	\(\Q(\sqrt{17}) \)	\(\Q\)	even	✓	✓
277984.e	\(\chi_{277984}(277983, \cdot)\)	$277984$	$34748$	$2$	\(\Q(\sqrt{8687}) \)	\(\Q\)	even	✓	✓
277984.f	\(\chi_{277984}(63071, \cdot)\)	$277984$	$292$	$2$	\(\Q(\sqrt{-73}) \)	\(\Q\)	odd	✓	✓
277984.g	\(\chi_{277984}(198561, \cdot)\)	$277984$	$7$	$2$	\(\Q(\sqrt{-7}) \)	\(\Q\)	odd	✓	✓
277984.h	\(\chi_{277984}(75921, \cdot)\)	$277984$	$952$	$2$	\(\Q(\sqrt{-238}) \)	\(\Q\)	odd	✓
277984.i	\(\chi_{277984}(218415, \cdot)\)	$277984$	$9928$	$2$	\(\Q(\sqrt{-2482}) \)	\(\Q\)	odd	✓
277984.j	\(\chi_{277984}(121617, \cdot)\)	$277984$	$69496$	$2$	\(\Q(\sqrt{-17374}) \)	\(\Q\)	odd	✓
277984.k	\(\chi_{277984}(172719, \cdot)\)	$277984$	$136$	$2$	\(\Q(\sqrt{-34}) \)	\(\Q\)	odd	✓
277984.l	\(\chi_{277984}(17375, \cdot)\)	$277984$	$4$	$2$	\(\Q(\sqrt{-1}) \)	\(\Q\)	odd	✓	✓
277984.m	\(\chi_{277984}(244257, \cdot)\)	$277984$	$511$	$2$	\(\Q(\sqrt{-511}) \)	\(\Q\)	odd	✓	✓
277984.n	\(\chi_{277984}(62049, \cdot)\)	$277984$	$1241$	$2$	\(\Q(\sqrt{1241}) \)	\(\Q\)	even	✓	✓
277984.o	\(\chi_{277984}(232287, \cdot)\)	$277984$	$476$	$2$	\(\Q(\sqrt{119}) \)	\(\Q\)	even	✓	✓
277984.p	\(\chi_{277984}(76943, \cdot)\)	$277984$	$56$	$2$	\(\Q(\sqrt{14}) \)	\(\Q\)	even	✓
277984.q	\(\chi_{277984}(184689, \cdot)\)	$277984$	$584$	$2$	\(\Q(\sqrt{146}) \)	\(\Q\)	even	✓
277984.r	\(\chi_{277984}(215935, \cdot)\)	$277984$	$28$	$2$	\(\Q(\sqrt{7}) \)	\(\Q\)	even	✓	✓
277984.s	\(\chi_{277984}(45697, \cdot)\)	$277984$	$73$	$2$	\(\Q(\sqrt{73}) \)	\(\Q\)	even	✓	✓
277984.t	\(\chi_{277984}(201041, \cdot)\)	$277984$	$9928$	$2$	\(\Q(\sqrt{2482}) \)	\(\Q\)	even	✓
277984.u	\(\chi_{277984}(93295, \cdot)\)	$277984$	$952$	$2$	\(\Q(\sqrt{238}) \)	\(\Q\)	even	✓
277984.v	\(\chi_{277984}(156367, \cdot)\)	$277984$	$8$	$2$	\(\Q(\sqrt{-2}) \)	\(\Q\)	odd	✓
277984.w	\(\chi_{277984}(105265, \cdot)\)	$277984$	$4088$	$2$	\(\Q(\sqrt{-1022}) \)	\(\Q\)	odd	✓
277984.x	\(\chi_{277984}(260609, \cdot)\)	$277984$	$8687$	$2$	\(\Q(\sqrt{-8687}) \)	\(\Q\)	odd	✓	✓
277984.y	\(\chi_{277984}(33727, \cdot)\)	$277984$	$68$	$2$	\(\Q(\sqrt{-17}) \)	\(\Q\)	odd	✓	✓
277984.z	\(\chi_{277984}(214913, \cdot)\)	$277984$	$119$	$2$	\(\Q(\sqrt{-119}) \)	\(\Q\)	odd	✓	✓
277984.ba	\(\chi_{277984}(79423, \cdot)\)	$277984$	$4964$	$2$	\(\Q(\sqrt{-1241}) \)	\(\Q\)	odd	✓	✓
277984.bb	\(\chi_{277984}(202063, \cdot)\)	$277984$	$584$	$2$	\(\Q(\sqrt{-146}) \)	\(\Q\)	odd	✓
277984.bc	\(\chi_{277984}(59569, \cdot)\)	$277984$	$56$	$2$	\(\Q(\sqrt{-14}) \)	\(\Q\)	odd	✓
277984.bd	\(\chi_{277984}(155345, \cdot)\)	$277984$	$136$	$2$	\(\Q(\sqrt{34}) \)	\(\Q\)	even	✓
277984.be	\(\chi_{277984}(138991, \cdot)\)	$277984$	$69496$	$2$	\(\Q(\sqrt{17374}) \)	\(\Q\)	even	✓
277984.bf	\(\chi_{277984}(261631, \cdot)\)	$277984$	$2044$	$2$	\(\Q(\sqrt{511}) \)	\(\Q\)	even	✓	✓
277984.bg	\(\chi_{277984}(39713, \cdot)\)$,$ \(\chi_{277984}(119137, \cdot)\)	$277984$	$7$	$3$	\(\Q(\zeta_{7})^+\)	\(\mathbb{Q}(\zeta_3)\)	even		✓
277984.bh	\(\chi_{277984}(237185, \cdot)\)$,$ \(\chi_{277984}(268193, \cdot)\)	$277984$	$511$	$3$	3.3.261121.1	\(\mathbb{Q}(\zeta_3)\)	even		✓
277984.bi	\(\chi_{277984}(69633, \cdot)\)$,$ \(\chi_{277984}(157761, \cdot)\)	$277984$	$511$	$3$	3.3.261121.2	\(\mathbb{Q}(\zeta_3)\)	even		✓
277984.bj	\(\chi_{277984}(118049, \cdot)\)$,$ \(\chi_{277984}(228481, \cdot)\)	$277984$	$73$	$3$	3.3.5329.1	\(\mathbb{Q}(\zeta_3)\)	even		✓
277984.bk	\(\chi_{277984}(11241, \cdot)\)$,$ \(\chi_{277984}(215641, \cdot)\)	$277984$	$138992$	$4$	deg 4	\(\mathbb{Q}(i)\)	odd
277984.bl	\(\chi_{277984}(127751, \cdot)\)$,$ \(\chi_{277984}(201335, \cdot)\)	$277984$	$272$	$4$	\(\Q(\sqrt{-34 +3 \sqrt{34}})\)	\(\mathbb{Q}(i)\)	odd
277984.bm	\(\chi_{277984}(187319, \cdot)\)$,$ \(\chi_{277984}(260903, \cdot)\)	$277984$	$1904$	$4$	\(\Q(\sqrt{238 +35 \sqrt{34}})\)	\(\mathbb{Q}(i)\)	even
277984.bn	\(\chi_{277984}(156073, \cdot)\)$,$ \(\chi_{277984}(229657, \cdot)\)	$277984$	$19856$	$4$	\(\Q(\sqrt{2482 +365 \sqrt{34}})\)	\(\mathbb{Q}(i)\)	even
277984.bo	\(\chi_{277984}(83831, \cdot)\)$,$ \(\chi_{277984}(132103, \cdot)\)	$277984$	$138992$	$4$	deg 4	\(\mathbb{Q}(i)\)	even
277984.bp	\(\chi_{277984}(188313, \cdot)\)$,$ \(\chi_{277984}(270857, \cdot)\)	$277984$	$138992$	$4$	deg 4	\(\mathbb{Q}(i)\)	odd
277984.bq	\(\chi_{277984}(128745, \cdot)\)$,$ \(\chi_{277984}(211289, \cdot)\)	$277984$	$19856$	$4$	\(\Q(\sqrt{2482 +31 \sqrt{2482}})\)	\(\mathbb{Q}(i)\)	even
277984.br	\(\chi_{277984}(24263, \cdot)\)$,$ \(\chi_{277984}(72535, \cdot)\)	$277984$	$19856$	$4$	\(\Q(\sqrt{-2482 +9 \sqrt{2482}})\)	\(\mathbb{Q}(i)\)	odd
277984.bs	\(\chi_{277984}(21489, \cdot)\)$,$ \(\chi_{277984}(143345, \cdot)\)	$277984$	$4088$	$4$	\(\Q(\sqrt{-511 +21 \sqrt{73}})\)	\(\mathbb{Q}(i)\)	odd
277984.bt	\(\chi_{277984}(83777, \cdot)\)$,$ \(\chi_{277984}(239905, \cdot)\)	$277984$	$73$	$4$	\(\Q(\sqrt{146 -6 \sqrt{73}})\)	\(\mathbb{Q}(i)\)	even		✓
277984.bu	\(\chi_{277984}(118287, \cdot)\)$,$ \(\chi_{277984}(240143, \cdot)\)	$277984$	$584$	$4$	\(\Q(\sqrt{-73 +3 \sqrt{73}})\)	\(\mathbb{Q}(i)\)	odd
277984.bv	\(\chi_{277984}(21727, \cdot)\)$,$ \(\chi_{277984}(177855, \cdot)\)	$277984$	$2044$	$4$	\(\Q(\sqrt{1022 +42 \sqrt{73}})\)	\(\mathbb{Q}(i)\)	even		✓
277984.bw	\(\chi_{277984}(117503, \cdot)\)$,$ \(\chi_{277984}(273631, \cdot)\)	$277984$	$4964$	$4$	\(\Q(\sqrt{-2482 +102 \sqrt{73}})\)	\(\mathbb{Q}(i)\)	odd		✓
277984.bx	\(\chi_{277984}(55215, \cdot)\)$,$ \(\chi_{277984}(177071, \cdot)\)	$277984$	$69496$	$4$	deg 4	\(\mathbb{Q}(i)\)	even