Modular curve search results

Results (1-50 of 126 matches)

 

Label	RSZB label	RZB label	CP label	SZ label	S label	Name	Level	Index	Genus	Rank	$\Q$-gonality	Cusps	$\Q$-cusps	CM points	Conductor	Simple	Squarefree	Contains -1	Decomposition	Models	$j$-points	Local obstruction	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
1.1.0.a.1	1.1.0.1	X1	1A0			$X(1)$	$1$	$1$	$0$	$0$	$1$	$1$	$1$	✓	$?$	?	?	✓	not computed	$1$	$0$		trivial subgroup
2.3.0.a.1	2.3.0.1	X6	2B0	2B0-2a	2B	$X_0(2)$	$2$	$3$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?	✓	not computed	$1$	$487580$		$\begin{bmatrix}1&1\\0&1\end{bmatrix}$
3.8.0-3.a.1.2	3.8.0.1		3B0		3B.1.1	$X_1(3)$	$3$	$8$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?		not computed		$78279$		$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}1&1\\0&1\end{bmatrix}$
4.12.0-4.c.1.1	4.12.0.7	X13h	4B0			$X_1(4)$	$4$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?		not computed		$95099$		$\begin{bmatrix}1&2\\0&3\end{bmatrix}$, $\begin{bmatrix}3&1\\0&3\end{bmatrix}$
5.24.0-5.a.1.2	5.24.0.1		5D0		5B.1.1	$X_1(5)$	$5$	$24$	$0$	$0$	$1$	$4$	$2$		$?$	?	?		not computed		$1546$		$\begin{bmatrix}1&2\\0&3\end{bmatrix}$, $\begin{bmatrix}1&4\\0&3\end{bmatrix}$
6.24.0-6.a.1.4	6.24.0.2		6F0			$X_1(6)$	$6$	$24$	$0$	$0$	$1$	$4$	$4$	✓	$?$	?	?		not computed		$9049$		$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&1\\0&1\end{bmatrix}$
7.48.0-7.a.1.2	7.48.0.1		7E0		7B.1.1	$X_1(7)$	$7$	$48$	$0$	$0$	$1$	$6$	$3$		$?$	?	?		not computed		$81$		$\begin{bmatrix}1&1\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&2\end{bmatrix}$
8.48.0-8.bb.1.1	8.48.0.159	X102p	8I0			$X_1(8)$	$8$	$48$	$0$	$0$	$1$	$6$	$4$		$?$	?	?		not computed		$220$		$\begin{bmatrix}1&6\\0&3\end{bmatrix}$, $\begin{bmatrix}1&6\\0&7\end{bmatrix}$, $\begin{bmatrix}5&7\\0&1\end{bmatrix}$
9.72.0-9.d.1.2	9.72.0.5		9I0			$X_1(9)$	$9$	$72$	$0$	$0$	$1$	$8$	$3$		$?$	?	?		not computed		$21$		$\begin{bmatrix}1&1\\0&4\end{bmatrix}$, $\begin{bmatrix}1&1\\0&8\end{bmatrix}$
10.72.0-10.a.2.1	10.72.0.1		10F0			$X_1(10)$	$10$	$72$	$0$	$0$	$1$	$8$	$4$		$?$	?	?		not computed		$43$		$\begin{bmatrix}1&3\\0&3\end{bmatrix}$, $\begin{bmatrix}1&6\\0&7\end{bmatrix}$
11.120.1-11.a.2.2	11.120.1.1		11D1		11B.1.1	$X_1(11)$	$11$	$120$	$1$	$0$	$2$	$10$	$5$		$11$	✓	✓		$1$		$1$		$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&2\end{bmatrix}$
12.96.0-12.c.1.8	12.96.0.23		12J0			$X_1(12)$	$12$	$96$	$0$	$0$	$1$	$10$	$4$		$?$	?	?		not computed		$18$		$\begin{bmatrix}1&2\\0&7\end{bmatrix}$, $\begin{bmatrix}1&8\\0&5\end{bmatrix}$, $\begin{bmatrix}1&11\\0&1\end{bmatrix}$
13.168.2-13.b.2.2	13.168.2.1		13A2		13B.1.1	$X_1(13)$	$13$	$168$	$2$	$0$	$2$	$12$	$6$		$13^{2}$	✓	✓		$2$		$1$		$\begin{bmatrix}1&0\\0&12\end{bmatrix}$, $\begin{bmatrix}1&2\\0&6\end{bmatrix}$
14.144.1-14.a.1.1	14.144.1.1		14H1			$X_1(14)$	$14$	$144$	$1$	$0$	$2$	$12$	$6$		$2\cdot7$	✓	✓		$1$		$1$		$\begin{bmatrix}1&10\\0&3\end{bmatrix}$, $\begin{bmatrix}1&11\\0&5\end{bmatrix}$
15.192.1-15.b.2.4	15.192.1.1		15I1			$X_1(15)$	$15$	$192$	$1$	$0$	$2$	$16$	$4$		$3\cdot5$	✓	✓		$1$		$1$		$\begin{bmatrix}1&6\\0&11\end{bmatrix}$, $\begin{bmatrix}1&10\\0&7\end{bmatrix}$
16.192.2-16.l.1.1	16.192.2.193		16J2			$X_1(16)$	$16$	$192$	$2$	$0$	$2$	$14$	$6$		$2^{8}$	✓	✓		$2$		$1$		$\begin{bmatrix}1&3\\0&1\end{bmatrix}$, $\begin{bmatrix}1&11\\0&15\end{bmatrix}$, $\begin{bmatrix}1&12\\0&3\end{bmatrix}$
17.288.5-17.d.2.2	17.288.5.1		17A5		17B.1.1	$X_1(17)$	$17$	$288$	$5$	$0$	$4$	$16$	$8$		$17^{5}$		✓		$1\cdot4$		$1$		$\begin{bmatrix}1&3\\0&12\end{bmatrix}$, $\begin{bmatrix}1&14\\0&10\end{bmatrix}$
18.216.2-18.d.1.1	18.216.2.9		18Q2			$X_1(18)$	$18$	$216$	$2$	$0$	$2$	$16$	$6$		$2^{2}\cdot3^{4}$	✓	✓		$2$		$1$		$\begin{bmatrix}1&3\\0&5\end{bmatrix}$, $\begin{bmatrix}1&17\\0&1\end{bmatrix}$
19.360.7-19.d.2.2	19.360.7.1		19A7		19B.1.1	$X_1(19)$	$19$	$360$	$7$	$0$	$3 \le \gamma \le 5$	$18$	$9$		$19^{7}$		✓		$1\cdot6$		$1$		$\begin{bmatrix}1&12\\0&1\end{bmatrix}$, $\begin{bmatrix}1&15\\0&3\end{bmatrix}$
20.288.3-20.e.2.1	20.288.3.11		20S3			$X_1(20)$	$20$	$288$	$3$	$0$	$2 \le \gamma \le 3$	$20$	$6$		$2^{6}\cdot5^{3}$		✓		$1\cdot2$		$1$		$\begin{bmatrix}1&10\\0&3\end{bmatrix}$, $\begin{bmatrix}1&18\\0&19\end{bmatrix}$, $\begin{bmatrix}11&13\\0&13\end{bmatrix}$
21.384.5-21.c.1.4	21.384.5.1		21E5			$X_1(21)$	$21$	$384$	$5$	$0$	$4$	$24$	$6$		$3^{5}\cdot7^{5}$		✓		$1\cdot2^{2}$		$1$		$\begin{bmatrix}1&0\\0&20\end{bmatrix}$, $\begin{bmatrix}1&10\\0&11\end{bmatrix}$
22.360.6-22.a.1.1	22.360.6.1		22C6			$X_1(22)$	$22$	$360$	$6$	$0$	$4$	$20$	$10$		$2^{4}\cdot11^{6}$				$1^{2}\cdot4$		$1$		$\begin{bmatrix}1&20\\0&19\end{bmatrix}$, $\begin{bmatrix}1&21\\0&17\end{bmatrix}$
23.528.12-23.e.1.2	23.528.12.1		23A12		23B.1.1	$X_1(23)$	$23$	$528$	$12$	$0$	$4 \le \gamma \le 12$	$22$	$11$		$23^{12}$		✓		$2\cdot10$		$1$		$\begin{bmatrix}1&13\\0&20\end{bmatrix}$, $\begin{bmatrix}1&19\\0&12\end{bmatrix}$
24.384.5-24.gk.1.1	24.384.5.2061		24AA5			$X_1(24)$	$24$	$384$	$5$	$0$	$4$	$24$	$6$		$2^{15}\cdot3^{5}$		✓		$1\cdot2^{2}$		$1$		$\begin{bmatrix}1&3\\0&19\end{bmatrix}$, $\begin{bmatrix}1&16\\0&5\end{bmatrix}$, $\begin{bmatrix}1&21\\0&1\end{bmatrix}$, $\begin{bmatrix}1&23\\0&11\end{bmatrix}$
25.600.12-25.j.1.2	25.600.12.11		25B12			$X_1(25)$	$25$	$600$	$12$	$0$	$4 \le \gamma \le 5$	$28$	$10$		$5^{24}$		✓		$4\cdot8$		$1$		$\begin{bmatrix}1&4\\0&21\end{bmatrix}$, $\begin{bmatrix}1&17\\0&23\end{bmatrix}$
26.504.10-26.b.1.1	26.504.10.1		26D10			$X_1(26)$	$26$	$504$	$10$	$0$	$3 \le \gamma \le 6$	$24$	$12$		$2^{6}\cdot13^{10}$				$1^{2}\cdot2^{4}$		$1$		$\begin{bmatrix}1&15\\0&15\end{bmatrix}$, $\begin{bmatrix}1&22\\0&11\end{bmatrix}$
27.648.13-27.i.1.2	27.648.13.19		27B13			$X_1(27)$	$27$	$648$	$13$	$0$	$6$	$30$	$9$		$3^{39}$		✓		$1\cdot12$		$1$		$\begin{bmatrix}1&7\\0&11\end{bmatrix}$, $\begin{bmatrix}1&14\\0&4\end{bmatrix}$
28.576.10-28.g.1.1	28.576.10.67		28D10			$X_1(28)$	$28$	$576$	$10$	$0$	$3 \le \gamma \le 6$	$30$	$9$		$2^{18}\cdot7^{10}$				$1^{2}\cdot2^{2}\cdot4$		$1$		$\begin{bmatrix}1&2\\0&23\end{bmatrix}$, $\begin{bmatrix}15&13\\0&23\end{bmatrix}$, $\begin{bmatrix}15&27\\0&13\end{bmatrix}$
29.840.22-29.e.2.2	29.840.22.1		29A22		29B.1.1	$X_1(29)$	$29$	$840$	$22$	$0$	$6 \le \gamma \le 12$	$28$	$14$		$29^{22}$		✓		$2^{2}\cdot6\cdot12$		$0$		$\begin{bmatrix}1&10\\0&26\end{bmatrix}$, $\begin{bmatrix}1&19\\0&23\end{bmatrix}$
30.576.9-30.b.2.8	30.576.9.1		30S9			$X_1(30)$	$30$	$576$	$9$	$0$	$3 \le \gamma \le 6$	$32$	$8$		$2^{7}\cdot3^{9}\cdot5^{9}$				$1^{3}\cdot2\cdot4$		$1$		$\begin{bmatrix}1&0\\0&29\end{bmatrix}$, $\begin{bmatrix}1&5\\0&11\end{bmatrix}$, $\begin{bmatrix}1&27\\0&23\end{bmatrix}$
31.960.26-31.h.2.2	31.960.26.1				31B.1.1	$X_1(31)$	$31$	$960$	$26$	$0$	$5 \le \gamma \le 15$	$30$	$15$		$31^{26}$		✓		$2\cdot4^{2}\cdot16$		$0$		$\begin{bmatrix}1&1\\0&11\end{bmatrix}$, $\begin{bmatrix}1&18\\0&9\end{bmatrix}$
32.768.17-32.cx.1.1	32.768.17.1527		32C17			$X_1(32)$	$32$	$768$	$17$	$0$	$4 \le \gamma \le 8$	$32$	$12$		$2^{81}$				$1\cdot2^{2}\cdot4\cdot8$		$0$		$\begin{bmatrix}1&13\\0&3\end{bmatrix}$, $\begin{bmatrix}1&27\\0&31\end{bmatrix}$, $\begin{bmatrix}1&28\\0&7\end{bmatrix}$
33.960.21-33.b.2.4	33.960.21.1		33C21			$X_1(33)$	$33$	$960$	$21$	$0$	$5 \le \gamma \le 12$	$40$	$10$		$3^{19}\cdot11^{21}$				$1^{3}\cdot2\cdot4^{2}\cdot8$		$0$		$\begin{bmatrix}1&4\\0&8\end{bmatrix}$, $\begin{bmatrix}1&7\\0&28\end{bmatrix}$
34.864.21-34.d.1.1	34.864.21.1		34A21			$X_1(34)$	$34$	$864$	$21$	$0$	$5 \le \gamma \le 12$	$32$	$16$		$2^{11}\cdot17^{21}$				$1^{3}\cdot2^{3}\cdot4^{3}$		$0$		$\begin{bmatrix}1&22\\0&31\end{bmatrix}$, $\begin{bmatrix}1&33\\0&1\end{bmatrix}$
35.1152.25-35.a.1.4	35.1152.25.1					$X_1(35)$	$35$	$1152$	$25$	$0$	$6 \le \gamma \le 16$	$48$	$12$		$5^{25}\cdot7^{25}$		✓		$1\cdot2^{2}\cdot4^{5}$		$0$		$\begin{bmatrix}1&12\\0&2\end{bmatrix}$, $\begin{bmatrix}1&12\\0&19\end{bmatrix}$
36.864.17-36.t.1.1	36.864.17.227		36L17			$X_1(36)$	$36$	$864$	$17$	$0$	$5 \le \gamma \le 8$	$40$	$9$		$2^{30}\cdot3^{34}$				$1\cdot2^{4}\cdot8$		$0$		$\begin{bmatrix}1&22\\0&29\end{bmatrix}$, $\begin{bmatrix}1&32\\0&31\end{bmatrix}$, $\begin{bmatrix}19&21\\0&25\end{bmatrix}$
37.1368.40-37.g.2.2	37.1368.40.1				37B.1.1	$X_1(37)$	$37$	$1368$	$40$	$1$	$8 \le \gamma \le 18$	$36$	$18$		$37^{40}$		✓		$1^{2}\cdot2^{2}\cdot4\cdot6^{2}\cdot18$		$0$		$\begin{bmatrix}1&28\\0&17\end{bmatrix}$, $\begin{bmatrix}1&28\\0&18\end{bmatrix}$
38.1080.28-38.d.1.1	38.1080.28.1					$X_1(38)$	$38$	$1080$	$28$	$0$	$6 \le \gamma \le 15$	$36$	$18$		$2^{14}\cdot19^{28}$				$1^{4}\cdot2\cdot4\cdot6^{3}$		$0$		$\begin{bmatrix}1&3\\0&13\end{bmatrix}$, $\begin{bmatrix}1&32\\0&13\end{bmatrix}$
39.1344.33-39.b.2.4	39.1344.33.1					$X_1(39)$	$39$	$1344$	$33$	$0$	$7 \le \gamma \le 16$	$48$	$12$		$3^{29}\cdot13^{33}$				$1\cdot2^{6}\cdot4^{3}\cdot8$		$0$		$\begin{bmatrix}1&3\\0&11\end{bmatrix}$, $\begin{bmatrix}1&23\\0&35\end{bmatrix}$
40.1152.25-40.jz.1.1	40.1152.25.3189					$X_1(40)$	$40$	$1152$	$25$	$0$	$6 \le \gamma \le 12$	$48$	$12$		$2^{69}\cdot5^{25}$				$1^{3}\cdot2^{3}\cdot4^{2}\cdot8$		$0$		$\begin{bmatrix}1&8\\0&23\end{bmatrix}$, $\begin{bmatrix}1&16\\0&33\end{bmatrix}$, $\begin{bmatrix}1&26\\0&29\end{bmatrix}$, $\begin{bmatrix}1&33\\0&13\end{bmatrix}$
41.1680.51-41.h.2.2	41.1680.51.1				41B.1.1	$X_1(41)$	$41$	$1680$	$51$	$0$	$10 \le \gamma \le 30$	$40$	$20$		$41^{51}$		✓		$2\cdot3\cdot6\cdot8^{2}\cdot24$		$0$		$\begin{bmatrix}1&16\\0&24\end{bmatrix}$, $\begin{bmatrix}1&39\\0&28\end{bmatrix}$
42.1152.25-42.c.1.8	42.1152.25.1					$X_1(42)$	$42$	$1152$	$25$	$0$	$6 \le \gamma \le 12$	$48$	$12$		$2^{15}\cdot3^{23}\cdot7^{25}$				$1^{5}\cdot2^{6}\cdot4^{2}$		$0$		$\begin{bmatrix}1&17\\0&13\end{bmatrix}$, $\begin{bmatrix}1&19\\0&1\end{bmatrix}$, $\begin{bmatrix}1&22\\0&17\end{bmatrix}$
43.1848.57-43.i.2.2	43.1848.57.1				43B.1.1	$X_1(43)$	$43$	$1848$	$57$	$1$	$10 \le \gamma \le 45$	$42$	$21$		$43^{57}$		✓		$1\cdot2^{2}\cdot4\cdot6^{2}\cdot36$		$0$		$\begin{bmatrix}1&31\\0&40\end{bmatrix}$, $\begin{bmatrix}1&42\\0&26\end{bmatrix}$
44.1440.36-44.l.1.1	44.1440.36.111					$X_1(44)$	$44$	$1440$	$36$	$0$	$8 \le \gamma \le 16$	$50$	$15$		$2^{58}\cdot11^{36}$				$1^{4}\cdot4^{4}\cdot16$		$0$		$\begin{bmatrix}1&9\\0&7\end{bmatrix}$, $\begin{bmatrix}1&11\\0&3\end{bmatrix}$, $\begin{bmatrix}1&11\\0&29\end{bmatrix}$
45.1728.41-45.j.2.4	45.1728.41.65					$X_1(45)$	$45$	$1728$	$41$	$0$	$9 \le \gamma \le 18$	$64$	$12$		$3^{80}\cdot5^{41}$				$1^{3}\cdot2^{2}\cdot4\cdot6\cdot8\cdot16$		$0$		$\begin{bmatrix}1&7\\0&7\end{bmatrix}$, $\begin{bmatrix}1&38\\0&17\end{bmatrix}$
46.1584.45-46.e.1.1	46.1584.45.1					$X_1(46)$	$46$	$1584$	$45$	$0$	$8 \le \gamma \le 22$	$44$	$22$		$2^{21}\cdot23^{45}$				$1\cdot2^{2}\cdot10^{4}$		$0$		$\begin{bmatrix}1&15\\0&27\end{bmatrix}$, $\begin{bmatrix}1&42\\0&17\end{bmatrix}$
47.2208.70-47.l.1.2	47.2208.70.1				47B.1.1	$X_1(47)$	$47$	$2208$	$70$	$0$	$11 \le \gamma \le 70$	$46$	$23$		$47^{70}$		✓		$4\cdot66$		$0$		$\begin{bmatrix}1&16\\0&46\end{bmatrix}$, $\begin{bmatrix}1&33\\0&45\end{bmatrix}$
48.1536.37-48.cs.1.1	48.1536.37.4097					$X_1(48)$	$48$	$1536$	$37$	$0$	$8 \le \gamma \le 16$	$56$	$12$		$2^{138}\cdot3^{33}$				$1^{3}\cdot2^{7}\cdot8\cdot12$		$0$		$\begin{bmatrix}1&14\\0&29\end{bmatrix}$, $\begin{bmatrix}1&15\\0&43\end{bmatrix}$, $\begin{bmatrix}1&24\\0&37\end{bmatrix}$, $\begin{bmatrix}1&34\\0&19\end{bmatrix}$
49.2352.69-49.w.1.2	49.2352.69.23					$X_1(49)$	$49$	$2352$	$69$	$0$	$12 \le \gamma \le 21$	$60$	$21$		$7^{138}$		✓		$1\cdot2\cdot6\cdot12\cdot48$		$0$		$\begin{bmatrix}1&14\\0&11\end{bmatrix}$, $\begin{bmatrix}1&18\\0&12\end{bmatrix}$
50.1800.48-50.j.1.1	50.1800.48.21					$X_1(50)$	$50$	$1800$	$48$	$0$	$9 \le \gamma \le 15$	$56$	$20$		$2^{24}\cdot5^{96}$				$1^{2}\cdot2\cdot4^{3}\cdot8^{4}$		$0$		$\begin{bmatrix}1&6\\0&43\end{bmatrix}$, $\begin{bmatrix}1&27\\0&39\end{bmatrix}$