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	$1$	$487580$		$\begin{bmatrix}1&1\\0&1\end{bmatrix}$
3.6.0.b.1	3.6.0.1		3C0	3C0-3a	3Ns	$X_{\mathrm{sp}}^+(3)$	$3$	$6$	$0$	$0$	$1$	$2$	$2$	✓	$?$	?	?	✓	not computed	$1$	$1848$		$\begin{bmatrix}0&2\\1&0\end{bmatrix}$, $\begin{bmatrix}0&2\\2&0\end{bmatrix}$
4.12.0.f.1	4.12.0.11	X23	4F0	4F0-4a		$X_{\mathrm{sp}}^+(4)$	$4$	$12$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?	✓	not computed	$1$	$188$		$\begin{bmatrix}0&3\\3&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&3\end{bmatrix}$
5.15.0.a.1	5.15.0.1		5E0	5E0-5a	5Ns	$X_{\mathrm{sp}}^+(5)$	$5$	$15$	$0$	$0$	$1$	$3$	$1$	✓	$?$	?	?	✓	not computed	$1$	$55$		$\begin{bmatrix}0&1\\2&0\end{bmatrix}$, $\begin{bmatrix}4&0\\0&3\end{bmatrix}$
6.36.0.b.1	6.36.0.2		6L0			$X_{\mathrm{sp}}^+(6)$	$6$	$36$	$0$	$0$	$1$	$6$	$4$		$?$	?	?	✓	not computed	$1$	$7$		$\begin{bmatrix}0&5\\1&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&5\end{bmatrix}$
7.28.0.a.1	7.28.0.1		7F0	7F0-7a	7Ns	$X_{\mathrm{sp}}^+(7)$	$7$	$28$	$0$	$0$	$1$	$4$	$1$	✓	$?$	?	?	✓	not computed	$1$	$12$		$\begin{bmatrix}0&3\\4&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&5\end{bmatrix}$
8.48.1.bv.1	8.48.1.91	X252	8I1			$X_{\mathrm{sp}}^+(8)$	$8$	$48$	$1$	$0$	$2$	$6$	$2$	✓	$2^{5}$	✓	✓	✓	$1$	$1$	$2$		$\begin{bmatrix}0&1\\7&0\end{bmatrix}$, $\begin{bmatrix}0&3\\7&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$
9.54.1.a.1	9.54.1.1		9E1			$X_{\mathrm{sp}}^+(9)$	$9$	$54$	$1$	$0$	$2$	$6$	$1$	✓	$3^{3}$	✓	✓	✓	$1$	$1$	$3$		$\begin{bmatrix}0&4\\2&0\end{bmatrix}$, $\begin{bmatrix}0&8\\2&0\end{bmatrix}$
10.90.3.b.1	10.90.3.1		10C3			$X_{\mathrm{sp}}^+(10)$	$10$	$90$	$3$	$0$	$3$	$9$	$3$	✓	$2^{4}\cdot5^{5}$		✓	✓	$1^{3}$	$1$	$2$		$\begin{bmatrix}0&1\\7&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&7\end{bmatrix}$
11.66.2.a.1	11.66.2.1		11A2		11Ns	$X_{\mathrm{sp}}^+(11)$	$11$	$66$	$2$	$1$	$2$	$6$	$1$	✓	$11^{3}$		✓	✓	$1^{2}$	$3$	$6$		$\begin{bmatrix}0&8\\2&0\end{bmatrix}$, $\begin{bmatrix}9&0\\0&7\end{bmatrix}$
12.144.5.bl.1	12.144.5.27		12D5			$X_{\mathrm{sp}}^+(12)$	$12$	$144$	$5$	$0$	$4$	$12$	$4$		$2^{15}\cdot3^{7}$			✓	$1^{5}$	$2$	$1$		$\begin{bmatrix}0&7\\11&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&5\end{bmatrix}$
13.91.3.b.1	13.91.3.1		13C3		13Ns	$X_{\mathrm{sp}}^+(13)$	$13$	$91$	$3$	$3$	$3$	$7$	$1$	✓	$13^{6}$	✓	✓	✓	$3$	$1$	$7$		$\begin{bmatrix}0&6\\8&0\end{bmatrix}$, $\begin{bmatrix}6&0\\0&3\end{bmatrix}$
14.168.7.d.1	14.168.7.4		14D7			$X_{\mathrm{sp}}^+(14)$	$14$	$168$	$7$	$1$	$4 \le \gamma \le 6$	$12$	$3$	✓	$2^{7}\cdot7^{12}$			✓	$1^{5}\cdot2$	$2$	$2$		$\begin{bmatrix}0&11\\13&0\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$
15.180.8.d.1	15.180.8.5		15A8			$X_{\mathrm{sp}}^+(15)$	$15$	$180$	$8$	$2$	$5 \le \gamma \le 8$	$12$	$2$	✓	$3^{11}\cdot5^{13}$			✓	$1^{8}$	$2$	$2$		$\begin{bmatrix}0&4\\8&0\end{bmatrix}$, $\begin{bmatrix}0&8\\14&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&13\end{bmatrix}$
16.192.9.fw.1	16.192.9.205		16K9			$X_{\mathrm{sp}}^+(16)$	$16$	$192$	$9$	$3$	$5 \le \gamma \le 6$	$12$	$2$	✓	$2^{60}$			✓	$1^{9}$	$2$	$2$		$\begin{bmatrix}0&13\\7&0\end{bmatrix}$, $\begin{bmatrix}0&13\\9&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&15\end{bmatrix}$
17.153.7.a.1	17.153.7.1		17A7		17Ns	$X_{\mathrm{sp}}^+(17)$	$17$	$153$	$7$	$6$	$4 \le \gamma \le 7$	$9$	$1$	✓	$17^{13}$		✓	✓	$1^{2}\cdot2\cdot3$	$2$	$7$		$\begin{bmatrix}0&4\\10&0\end{bmatrix}$, $\begin{bmatrix}9&0\\0&10\end{bmatrix}$
18.324.16.h.1	18.324.16.9		18D16			$X_{\mathrm{sp}}^+(18)$	$18$	$324$	$16$	$2$	$5 \le \gamma \le 9$	$18$	$3$		$2^{14}\cdot3^{54}$			✓	$1^{14}\cdot2$	$2$	$1$		$\begin{bmatrix}0&13\\5&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&5\end{bmatrix}$
19.190.9.a.1	19.190.9.1		19A9		19Ns	$X_{\mathrm{sp}}^+(19)$	$19$	$190$	$9$	$8$	$5 \le \gamma \le 9$	$10$	$1$	✓	$19^{17}$		✓	✓	$1^{2}\cdot3\cdot4$	$2$	$6$		$\begin{bmatrix}0&10\\12&0\end{bmatrix}$, $\begin{bmatrix}8&0\\0&9\end{bmatrix}$
20.360.20.r.1	20.360.20.5		20B20			$X_{\mathrm{sp}}^+(20)$	$20$	$360$	$20$	$4$	$7 \le \gamma \le 12$	$18$	$4$		$2^{53}\cdot5^{33}$			✓	$1^{20}$	$1$	$1$		$\begin{bmatrix}0&17\\11&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&7\end{bmatrix}$, $\begin{bmatrix}17&0\\0&1\end{bmatrix}$
21.336.17.d.1	21.336.17.3		21B17			$X_{\mathrm{sp}}^+(21)$	$21$	$336$	$17$	$6$	$8 \le \gamma \le 12$	$16$	$2$	✓	$3^{23}\cdot7^{29}$			✓	$1^{11}\cdot2^{3}$	$1$	$2$		$\begin{bmatrix}0&2\\11&0\end{bmatrix}$, $\begin{bmatrix}0&20\\2&0\end{bmatrix}$, $\begin{bmatrix}20&0\\0&19\end{bmatrix}$
22.396.22.d.1	22.396.22.3		22B22			$X_{\mathrm{sp}}^+(22)$	$22$	$396$	$22$	$8$	$9 \le \gamma \le 12$	$18$	$3$	✓	$2^{18}\cdot11^{40}$			✓	$1^{12}\cdot2^{5}$	$1$	$2$		$\begin{bmatrix}0&13\\1&0\end{bmatrix}$, $\begin{bmatrix}0&13\\17&0\end{bmatrix}$
23.276.15.a.1	23.276.15.1		23A15		23Ns	$X_{\mathrm{sp}}^+(23)$	$23$	$276$	$15$	$13$	$6 \le \gamma \le 15$	$12$	$1$	✓	$23^{28}$		✓	✓	$2\cdot4^{2}\cdot5$	$1$	$7$		$\begin{bmatrix}0&4\\9&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&3\end{bmatrix}$
24.576.33.dnf.1	24.576.33.751					$X_{\mathrm{sp}}^+(24)$	$24$	$576$	$33$	$6$	$9 \le \gamma \le 16$	$24$	$4$		$2^{150}\cdot3^{43}$			✓	$1^{33}$		$0$		$\begin{bmatrix}0&5\\19&0\end{bmatrix}$, $\begin{bmatrix}0&13\\19&0\end{bmatrix}$, $\begin{bmatrix}0&17\\11&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&17\end{bmatrix}$
25.375.22.a.1	25.375.22.1		25A22			$X_{\mathrm{sp}}^+(25)$	$25$	$375$	$22$	$16$	$7 \le \gamma \le 20$	$15$	$1$	✓	$5^{80}$		✓	✓	$2^{5}\cdot4\cdot8$		$0$		$\begin{bmatrix}0&2\\17&0\end{bmatrix}$, $\begin{bmatrix}0&7\\24&0\end{bmatrix}$
26.546.33.c.1	26.546.33.3					$X_{\mathrm{sp}}^+(26)$	$26$	$546$	$33$	$14$	$10 \le \gamma \le 18$	$21$	$3$	✓	$2^{28}\cdot13^{61}$			✓	$1^{11}\cdot2^{2}\cdot3^{6}$		$0$		$\begin{bmatrix}0&25\\7&0\end{bmatrix}$, $\begin{bmatrix}17&0\\0&11\end{bmatrix}$
27.486.28.g.1	27.486.28.7					$X_{\mathrm{sp}}^+(27)$	$27$	$486$	$28$	$16$	$10 \le \gamma \le 18$	$18$	$1$	✓	$3^{146}$			✓	$1^{4}\cdot2^{3}\cdot3^{2}\cdot6^{2}$		$0$		$\begin{bmatrix}0&25\\10&0\end{bmatrix}$, $\begin{bmatrix}25&0\\0&14\end{bmatrix}$
28.672.41.df.1	28.672.41.53					$X_{\mathrm{sp}}^+(28)$	$28$	$672$	$41$	$13$	$13 \le \gamma \le 24$	$24$	$4$		$2^{102}\cdot7^{71}$			✓	$1^{29}\cdot2^{6}$		$0$		$\begin{bmatrix}0&1\\3&0\end{bmatrix}$, $\begin{bmatrix}0&13\\19&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&27\end{bmatrix}$
29.435.26.a.1	29.435.26.1				29Ns	$X_{\mathrm{sp}}^+(29)$	$29$	$435$	$26$	$24$	$9 \le \gamma \le 26$	$15$	$1$	✓	$29^{50}$		✓	✓	$2^{3}\cdot3^{2}\cdot6\cdot8$		$0$		$\begin{bmatrix}0&6\\6&0\end{bmatrix}$, $\begin{bmatrix}0&25\\21&0\end{bmatrix}$
30.1080.69.w.1	30.1080.69.17					$X_{\mathrm{sp}}^+(30)$	$30$	$1080$	$69$	$10$	$12 \le \gamma \le 30$	$36$	$6$		$2^{55}\cdot3^{89}\cdot5^{113}$			✓	$1^{67}\cdot2$		$0$		$\begin{bmatrix}0&11\\23&0\end{bmatrix}$, $\begin{bmatrix}0&13\\29&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&29\end{bmatrix}$
31.496.30.a.1	31.496.30.1				31Ns	$X_{\mathrm{sp}}^+(31)$	$31$	$496$	$30$	$28$	$10 \le \gamma \le 30$	$16$	$1$	✓	$31^{58}$		✓	✓	$2^{3}\cdot8\cdot16$		$0$		$\begin{bmatrix}0&22\\10&0\end{bmatrix}$, $\begin{bmatrix}20&0\\0&6\end{bmatrix}$
32.768.49.mv.1	32.768.49.527					$X_{\mathrm{sp}}^+(32)$	$32$	$768$	$49$	$24$	$15 \le \gamma \le 24$	$24$	$2$	✓	$2^{411}$			✓	$1^{19}\cdot2^{9}\cdot4^{3}$		$0$		$\begin{bmatrix}0&19\\23&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&19\end{bmatrix}$, $\begin{bmatrix}3&0\\0&31\end{bmatrix}$
33.792.49.b.1	33.792.49.1					$X_{\mathrm{sp}}^+(33)$	$33$	$792$	$49$	$25$	$16 \le \gamma \le 24$	$24$	$2$	✓	$3^{61}\cdot11^{89}$			✓	$1^{23}\cdot2^{9}\cdot4^{2}$		$0$		$\begin{bmatrix}0&5\\20&0\end{bmatrix}$, $\begin{bmatrix}2&0\\0&19\end{bmatrix}$, $\begin{bmatrix}29&0\\0&31\end{bmatrix}$
34.918.60.b.1	34.918.60.1					$X_{\mathrm{sp}}^+(34)$	$34$	$918$	$60$	$29$	$17 \le \gamma \le 42$	$27$	$3$	✓	$2^{47}\cdot17^{113}$			✓	$1^{8}\cdot2^{8}\cdot3^{8}\cdot4^{3}$		$0$		$\begin{bmatrix}0&33\\29&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$
35.840.55.d.1	35.840.55.1					$X_{\mathrm{sp}}^+(35)$	$35$	$840$	$55$	$32$	$16 \le \gamma \le 30$	$24$	$2$	✓	$5^{89}\cdot7^{95}$			✓	$1^{13}\cdot2^{16}\cdot3^{2}\cdot4$		$0$		$\begin{bmatrix}0&6\\6&0\end{bmatrix}$, $\begin{bmatrix}0&22\\31&0\end{bmatrix}$, $\begin{bmatrix}26&0\\0&16\end{bmatrix}$
36.1296.85.gb.1	36.1296.85.153					$X_{\mathrm{sp}}^+(36)$	$36$	$1296$	$85$	$23$	$18 \le \gamma \le 24$	$36$	$4$		$2^{205}\cdot3^{272}$			✓	$1^{69}\cdot2^{8}$		$0$		$\begin{bmatrix}0&31\\7&0\end{bmatrix}$, $\begin{bmatrix}11&0\\0&29\end{bmatrix}$, $\begin{bmatrix}13&0\\0&11\end{bmatrix}$
37.703.45.a.1	37.703.45.1				37Ns	$X_{\mathrm{sp}}^+(37)$	$37$	$703$	$45$	$44$	$14 \le \gamma \le 45$	$19$	$1$	✓	$37^{88}$		✓	✓	$1^{6}\cdot3^{4}\cdot27$		$0$		$\begin{bmatrix}0&14\\36&0\end{bmatrix}$, $\begin{bmatrix}11&0\\0&15\end{bmatrix}$
38.1140.76.d.1	38.1140.76.4					$X_{\mathrm{sp}}^+(38)$	$38$	$1140$	$76$	$38$	$21 \le \gamma \le 54$	$30$	$3$	✓	$2^{58}\cdot19^{144}$			✓	$1^{19}\cdot2^{10}\cdot3^{5}\cdot4^{4}\cdot6$		$0$		$\begin{bmatrix}0&37\\17&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&33\end{bmatrix}$
39.1092.72.b.1	39.1092.72.1					$X_{\mathrm{sp}}^+(39)$	$39$	$1092$	$72$	$41$	$21 \le \gamma \le 36$	$28$	$2$	✓	$3^{91}\cdot13^{133}$			✓	$1^{8}\cdot2^{14}\cdot3^{10}\cdot6$		$0$		$\begin{bmatrix}0&11\\10&0\end{bmatrix}$, $\begin{bmatrix}4&0\\0&32\end{bmatrix}$, $\begin{bmatrix}28&0\\0&1\end{bmatrix}$
40.1440.99.cz.1	40.1440.99.25					$X_{\mathrm{sp}}^+(40)$	$40$	$1440$	$99$	$35$	$26 \le \gamma \le 48$	$36$	$4$		$2^{430}\cdot5^{159}$			✓	$1^{81}\cdot2^{9}$		$0$		$\begin{bmatrix}0&1\\37&0\end{bmatrix}$, $\begin{bmatrix}21&0\\0&3\end{bmatrix}$, $\begin{bmatrix}23&0\\0&11\end{bmatrix}$, $\begin{bmatrix}23&0\\0&31\end{bmatrix}$
41.861.57.a.1	41.861.57.1				41Ns	$X_{\mathrm{sp}}^+(41)$	$41$	$861$	$57$	$54$	$16 \le \gamma \le 57$	$21$	$1$	✓	$41^{111}$		✓	✓	$2\cdot3^{3}\cdot4^{2}\cdot8\cdot12\cdot18$		$0$		$\begin{bmatrix}0&21\\5&0\end{bmatrix}$, $\begin{bmatrix}0&30\\32&0\end{bmatrix}$
42.2016.137.u.1	42.2016.137.14					$X_{\mathrm{sp}}^+(42)$	$42$	$2016$	$137$	$34$	$27 \le \gamma \le 48$	$48$	$6$		$2^{103}\cdot3^{171}\cdot7^{237}$			✓	$1^{95}\cdot2^{21}$		$0$		$\begin{bmatrix}0&5\\41&0\end{bmatrix}$, $\begin{bmatrix}0&11\\19&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&17\end{bmatrix}$
43.946.63.a.1	43.946.63.1				43Ns	$X_{\mathrm{sp}}^+(43)$	$43$	$946$	$63$	$61$	$18 \le \gamma \le 63$	$22$	$1$	✓	$43^{123}$		✓	✓	$1^{3}\cdot2^{3}\cdot3^{2}\cdot10\cdot18\cdot20$		$0$		$\begin{bmatrix}0&16\\14&0\end{bmatrix}$, $\begin{bmatrix}0&29\\16&0\end{bmatrix}$
44.1584.109.cz.1	44.1584.109.45					$X_{\mathrm{sp}}^+(44)$	$44$	$1584$	$109$	$51$	$29 \le \gamma \le 48$	$36$	$4$	✓	$2^{257}\cdot11^{199}$			✓	$1^{41}\cdot2^{28}\cdot4^{3}$		$0$		$\begin{bmatrix}0&5\\3&0\end{bmatrix}$, $\begin{bmatrix}0&37\\1&0\end{bmatrix}$, $\begin{bmatrix}43&0\\0&1\end{bmatrix}$
45.1620.112.f.1	45.1620.112.10					$X_{\mathrm{sp}}^+(45)$	$45$	$1620$	$112$	$53$	$30 \le \gamma \le 60$	$36$	$2$	✓	$3^{354}\cdot5^{179}$			✓	$1^{47}\cdot2^{18}\cdot3^{3}\cdot4^{5}$		$0$		$\begin{bmatrix}0&22\\44&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&23\end{bmatrix}$, $\begin{bmatrix}37&0\\0&32\end{bmatrix}$
46.1656.115.d.1	46.1656.115.3					$X_{\mathrm{sp}}^+(46)$	$46$	$1656$	$115$	$63$	$30 \le \gamma \le 90$	$36$	$3$	✓	$2^{85}\cdot23^{220}$			✓	$1^{13}\cdot2^{13}\cdot3\cdot4^{5}\cdot5^{7}\cdot8\cdot10$		$0$		$\begin{bmatrix}0&31\\19&0\end{bmatrix}$, $\begin{bmatrix}29&0\\0&37\end{bmatrix}$
47.1128.77.a.1	47.1128.77.1				47Ns	$X_{\mathrm{sp}}^+(47)$	$47$	$1128$	$77$	$73$	$21 \le \gamma \le 77$	$24$	$1$	✓	$47^{150}$		✓	✓	$4\cdot16\cdot24\cdot33$		$0$		$\begin{bmatrix}0&12\\4&0\end{bmatrix}$, $\begin{bmatrix}0&22\\6&0\end{bmatrix}$
48.2304.161.pxh.1	48.2304.161.8611					$X_{\mathrm{sp}}^+(48)$	$48$	$2304$	$161$	$55$	$31 \le \gamma \le 32$	$48$	$4$		$2^{1013}\cdot3^{199}$			✓	$1^{143}\cdot2^{9}$		$0$		$\begin{bmatrix}0&35\\17&0\end{bmatrix}$, $\begin{bmatrix}0&35\\19&0\end{bmatrix}$, $\begin{bmatrix}0&37\\11&0\end{bmatrix}$, $\begin{bmatrix}0&43\\23&0\end{bmatrix}$
49.1372.94.a.1	49.1372.94.1					$X_{\mathrm{sp}}^+(49)$	$49$	$1372$	$94$	$78$	$25 \le \gamma \le 49$	$28$	$1$	✓	$7^{350}$		✓	✓	$1\cdot3^{3}\cdot6^{4}\cdot9^{2}\cdot18\cdot24$		$0$		$\begin{bmatrix}0&27\\33&0\end{bmatrix}$, $\begin{bmatrix}32&0\\0&26\end{bmatrix}$
50.2250.161.b.1	50.2250.161.1					$X_{\mathrm{sp}}^+(50)$	$50$	$2250$	$161$	$72$	$39 \le \gamma \le 75$	$45$	$3$	✓	$2^{120}\cdot5^{576}$			✓	$1^{9}\cdot2^{28}\cdot4^{12}\cdot8^{6}$		$0$		$\begin{bmatrix}0&1\\27&0\end{bmatrix}$, $\begin{bmatrix}0&3\\37&0\end{bmatrix}$