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
2.6.0.a.1	2.6.0.1	X8	2C0	2C0-2a	2Cs	$X(2)$	$2$	$6$	$0$	$0$	$1$	$3$	$3$	✓	$?$	?	?	✓	not computed	$1$	$31721$		trivial subgroup
3.24.0-3.a.1.1	3.24.0.1		3D0		3Cs.1.1	$X_{\mathrm{arith}}(3)$	$3$	$24$	$0$	$0$	$1$	$4$	$2$	✓	$?$	?	?		not computed		$1551$		$\begin{bmatrix}1&0\\0&2\end{bmatrix}$
4.48.0-4.b.1.1	4.48.0.3	X58i	4G0			$X_{\mathrm{arith}}(4)$	$4$	$48$	$0$	$0$	$1$	$6$	$4$		$?$	?	?		not computed		$62$		$\begin{bmatrix}1&0\\0&3\end{bmatrix}$
5.120.0-5.a.1.2	5.120.0.1		5H0		5Cs.1.1	$X_{\mathrm{arith}}(5)$	$5$	$120$	$0$	$0$	$1$	$12$	$2$		$?$	?	?		not computed		$8$		$\begin{bmatrix}1&0\\0&3\end{bmatrix}$
6.144.1-6.a.1.1	6.144.1.1		6F1			$X_{\mathrm{arith}}(6)$	$6$	$144$	$1$	$0$	$2$	$12$	$6$		$2^{2}\cdot3^{2}$	✓	✓		$1$		$1$		$\begin{bmatrix}5&0\\0&1\end{bmatrix}$
7.336.3-7.b.1.2	7.336.3.1		7A3		7Cs.1.1	$X_{\mathrm{arith}}(7)$	$7$	$336$	$3$	$0$	$3$	$24$	$3$		$7^{6}$		✓		$1\cdot2$		$1$		$\begin{bmatrix}3&0\\0&1\end{bmatrix}$
8.384.5-8.d.1.1	8.384.5.9		8A5			$X_{\mathrm{arith}}(8)$	$8$	$384$	$5$	$0$	$4$	$24$	$4$		$2^{28}$				$1^{3}\cdot2$		$1$		$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&7\end{bmatrix}$
9.648.10-9.a.1.1	9.648.10.1		9A10			$X_{\mathrm{arith}}(9)$	$9$	$648$	$10$	$0$	$5 \le \gamma \le 6$	$36$	$3$		$3^{38}$				$1^{2}\cdot2^{2}\cdot4$		$1$		$\begin{bmatrix}5&0\\0&1\end{bmatrix}$
10.720.13-10.a.1.2	10.720.13.1		10A13			$X_{\mathrm{arith}}(10)$	$10$	$720$	$13$	$0$	$4 \le \gamma \le 6$	$36$	$6$		$2^{18}\cdot5^{24}$				$1^{7}\cdot2^{3}$		$1$		$\begin{bmatrix}7&0\\0&1\end{bmatrix}$
11.1320.26-11.a.1.1	11.1320.26.1				11Cs.1.1	$X_{\mathrm{arith}}(11)$	$11$	$1320$	$26$	$1$	$7 \le \gamma \le 20$	$60$	$5$		$11^{50}$				$1^{6}\cdot4^{5}$		$0$		$\begin{bmatrix}8&0\\0&1\end{bmatrix}$
12.1152.25-12.b.1.1	12.1152.25.17					$X_{\mathrm{arith}}(12)$	$12$	$1152$	$25$	$0$	$6 \le \gamma \le 12$	$48$	$4$		$2^{76}\cdot3^{40}$				$1^{13}\cdot2^{6}$		$0$		$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$
13.2184.50-13.b.1.1	13.2184.50.1				13Cs.1.1	$X_{\mathrm{arith}}(13)$	$13$	$2184$	$50$	$3$	$11 \le \gamma \le 26$	$84$	$6$		$13^{96}$				$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$		$0$		$\begin{bmatrix}2&0\\0&1\end{bmatrix}$
14.2016.49-14.b.1.2	14.2016.49.3					$X_{\mathrm{arith}}(14)$	$14$	$2016$	$49$	$1$	$10 \le \gamma \le 18$	$72$	$9$		$2^{54}\cdot7^{90}$				$1^{11}\cdot2^{13}\cdot4^{3}$		$0$		$\begin{bmatrix}3&0\\0&1\end{bmatrix}$
15.2880.73-15.a.1.4	15.2880.73.1					$X_{\mathrm{arith}}(15)$	$15$	$2880$	$73$	$2$	$15 \le \gamma \le 24$	$96$	$4$		$3^{112}\cdot5^{128}$				$1^{17}\cdot2^{10}\cdot4^{7}\cdot8$		$0$		$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$
16.3072.81-16.d.1.1	16.3072.81.17					$X_{\mathrm{arith}}(16)$	$16$	$3072$	$81$	$4$	$16 \le \gamma \le 32$	$96$	$8$		$2^{542}$				$1^{19}\cdot2^{23}\cdot8^{2}$		$0$		$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&15\end{bmatrix}$
17.4896.133-17.e.1.1	17.4896.133.1				17Cs.1.1	$X_{\mathrm{arith}}(17)$	$17$	$4896$	$133$	$6$	$25 \le \gamma \le 68$	$144$	$8$		$17^{256}$				$1^{3}\cdot2^{3}\cdot3^{2}\cdot4^{9}\cdot6\cdot8^{3}\cdot12\cdot16\cdot24$		$0$		$\begin{bmatrix}1&0\\0&6\end{bmatrix}$
18.3888.109-18.a.1.1	18.3888.109.1					$X_{\mathrm{arith}}(18)$	$18$	$3888$	$109$	$3$	$20 \le \gamma \le 36$	$108$	$9$		$2^{106}\cdot3^{366}$				$1^{31}\cdot2^{33}\cdot4^{3}$		$0$		$\begin{bmatrix}5&0\\0&1\end{bmatrix}$
19.6840.196-19.d.1.1	19.6840.196.1				19Cs.1.1	$X_{\mathrm{arith}}(19)$	$19$	$6840$	$196$	$8$	$34 \le \gamma \le 95$	$180$	$9$		$19^{378}$				$1^{4}\cdot2^{7}\cdot3^{2}\cdot4^{5}\cdot6^{12}\cdot8\cdot12^{4}\cdot24$		$0$		$\begin{bmatrix}1&0\\0&10\end{bmatrix}$
20.5760.169-20.c.1.3	20.5760.169.25					$X_{\mathrm{arith}}(20)$	$20$	$5760$	$169$	$5$	$29 \le \gamma \le 48$	$144$	$8$		$2^{460}\cdot5^{288}$				$1^{43}\cdot2^{39}\cdot4^{4}\cdot8^{4}$		$0$		$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}1&0\\0&17\end{bmatrix}$
21.8064.241-21.b.1.1	21.8064.241.1					$X_{\mathrm{arith}}(21)$	$21$	$8064$	$241$	$8$	$40 \le \gamma \le 72$	$192$	$6$		$3^{346}\cdot7^{432}$				$1^{21}\cdot2^{40}\cdot4^{15}\cdot8^{4}\cdot16^{3}$		$0$		$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}1&0\\0&13\end{bmatrix}$
22.7920.241-22.a.1.1	22.7920.241.1					$X_{\mathrm{arith}}(22)$	$22$	$7920$	$241$	$12$	$40 \le \gamma \le 88$	$180$	$15$		$2^{218}\cdot11^{450}$				$1^{25}\cdot2^{12}\cdot4^{36}\cdot8^{6}$		$0$		$\begin{bmatrix}1&0\\0&7\end{bmatrix}$
23.12144.375-23.e.1.2	23.12144.375.1				23Cs.1.1	$X_{\mathrm{arith}}(23)$	$23$	$12144$	$375$	$13$	$61 \le \gamma \le 276$	$264$	$11$		$23^{726}$				$2^{7}\cdot3\cdot4^{2}\cdot5^{2}\cdot10^{11}\cdot20^{6}\cdot30\cdot40^{2}$		$0$		$\begin{bmatrix}19&0\\0&1\end{bmatrix}$
24.9216.289-24.eq.1.1	24.9216.289.2					$X_{\mathrm{arith}}(24)$	$24$	$9216$	$289$	$9$	$46 \le \gamma \le 96$	$192$	$8$		$2^{1306}\cdot3^{406}$				$1^{73}\cdot2^{58}\cdot4^{23}\cdot8$		$0$		$\begin{bmatrix}1&0\\0&13\end{bmatrix}$, $\begin{bmatrix}1&0\\0&19\end{bmatrix}$, $\begin{bmatrix}17&0\\0&1\end{bmatrix}$
25.15000.476-25.f.1.1	25.15000.476.1					$X_{\mathrm{arith}}(25)$	$25$	$15000$	$476$	$22$	$75 \le \gamma \le 125$	$300$	$10$		$5^{1728}$				$2^{8}\cdot4^{23}\cdot8^{22}\cdot16^{8}\cdot32^{2}$		$0$		$\begin{bmatrix}12&0\\0&1\end{bmatrix}$
26.13104.421-26.b.1.1	26.13104.421.3					$X_{\mathrm{arith}}(26)$	$26$	$13104$	$421$	$24$	$65 \le \gamma \le 156$	$252$	$18$		$2^{362}\cdot13^{792}$				$1^{27}\cdot2^{59}\cdot3^{12}\cdot4^{15}\cdot6^{18}\cdot12^{6}$		$0$		$\begin{bmatrix}1&0\\0&11\end{bmatrix}$
27.17496.568-27.d.1.1	27.17496.568.1					$X_{\mathrm{arith}}(27)$	$27$	$17496$	$568$	$26$	$87 \le \gamma \le 162$	$324$	$9$		$3^{2964}$				$1^{8}\cdot2^{14}\cdot3^{4}\cdot4^{7}\cdot6^{18}\cdot12^{32}$		$0$		$\begin{bmatrix}14&0\\0&1\end{bmatrix}$
28.16128.529-28.e.1.1	28.16128.529.73					$X_{\mathrm{arith}}(28)$	$28$	$16128$	$529$	$22$	$80 \le \gamma \le 144$	$288$	$12$		$2^{1372}\cdot7^{936}$				$1^{59}\cdot2^{95}\cdot4^{38}\cdot8^{10}\cdot16^{3}$		$0$		$\begin{bmatrix}1&0\\0&15\end{bmatrix}$, $\begin{bmatrix}17&0\\0&1\end{bmatrix}$
29.24360.806-29.e.1.1	29.24360.806.1				29Cs.1.1	$X_{\mathrm{arith}}(29)$	$29$	$24360$	$806$	$30$	$121 \le \gamma \le 348$	$420$	$14$		$29^{1568}$				$2^{8}\cdot3^{2}\cdot4^{2}\cdot6^{10}\cdot8^{2}\cdot12^{19}\cdot16\cdot24^{5}\cdot36^{2}\cdot48^{2}\cdot72\cdot96$		$0$		$\begin{bmatrix}21&0\\0&1\end{bmatrix}$
30.17280.577-30.a.1.4	30.17280.577.1					$X_{\mathrm{arith}}(30)$	$30$	$17280$	$577$	$15$	$86 \le \gamma \le 144$	$288$	$12$		$2^{478}\cdot3^{790}\cdot5^{958}$				$1^{139}\cdot2^{75}\cdot4^{56}\cdot8^{8}$		$0$		$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}1&0\\0&11\end{bmatrix}$
31.29760.1001-31.h.1.1	31.29760.1001.1				31Cs.1.1	$X_{\mathrm{arith}}(31)$	$31$	$29760$	$1001$	$28$	$148 \le \gamma \le 465$	$480$	$15$		$31^{1950}$				$2^{8}\cdot3\cdot4^{18}\cdot6\cdot8^{16}\cdot12^{2}\cdot16^{21}\cdot24^{2}\cdot32\cdot48\cdot64\cdot96\cdot128$		$0$		$\begin{bmatrix}1&0\\0&17\end{bmatrix}$
32.24576.833-32.h.1.1	32.24576.833.33					$X_{\mathrm{arith}}(32)$	$32$	$24576$	$833$	$56$	$122 \le \gamma \le 256$	$384$	$16$		$2^{6932}$				$1^{39}\cdot2^{95}\cdot4^{45}\cdot8^{37}\cdot16^{8}$		$0$		$\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&1\end{bmatrix}$
33.31680.1081-33.b.1.2	33.31680.1081.1					$X_{\mathrm{arith}}(33)$	$33$	$31680$	$1081$	$41$	$158 \le \gamma \le 396$	$480$	$10$		$3^{1468}\cdot11^{2000}$				$1^{47}\cdot2^{31}\cdot4^{89}\cdot8^{33}\cdot16^{18}\cdot32^{2}$		$0$		$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}1&0\\0&23\end{bmatrix}$
34.29376.1009-34.e.1.1	34.29376.1009.1					$X_{\mathrm{arith}}(34)$	$34$	$29376$	$1009$	$47$	$146 \le \gamma \le 408$	$432$	$24$		$2^{814}\cdot17^{1920}$				$1^{15}\cdot2^{51}\cdot3^{16}\cdot4^{57}\cdot6^{8}\cdot8^{23}\cdot12^{8}\cdot16^{6}\cdot24^{8}$		$0$		$\begin{bmatrix}1&0\\0&11\end{bmatrix}$
35.40320.1393-35.d.1.4	35.40320.1393.1					$X_{\mathrm{arith}}(35)$	$35$	$40320$	$1393$	$38$	$200 \le \gamma \le 336$	$576$	$12$		$5^{2298}\cdot7^{2448}$				$1^{29}\cdot2^{76}\cdot3^{4}\cdot4^{103}\cdot6^{8}\cdot8^{27}\cdot12^{3}\cdot16^{3}\cdot24^{7}\cdot32^{4}\cdot48^{3}$		$0$		$\begin{bmatrix}1&0\\0&17\end{bmatrix}$, $\begin{bmatrix}1&0\\0&34\end{bmatrix}$
36.31104.1081-36.e.1.1	36.31104.1081.73					$X_{\mathrm{arith}}(36)$	$36$	$31104$	$1081$	$54$	$155 \le \gamma \le 288$	$432$	$12$		$2^{2732}\cdot3^{3470}$				$1^{145}\cdot2^{194}\cdot4^{63}\cdot8^{31}\cdot16^{3}$		$0$		$\begin{bmatrix}1&0\\0&29\end{bmatrix}$, $\begin{bmatrix}19&0\\0&1\end{bmatrix}$
37.50616.1768-37.g.1.1	37.50616.1768.1				37Cs.1.1	$X_{\mathrm{arith}}(37)$	$37$	$50616$	$1768$	$53$	$252 \le \gamma \le 666$	$684$	$18$		$37^{3456}$				$1^{10}\cdot2^{16}\cdot3^{4}\cdot4^{10}\cdot6^{28}\cdot12^{16}\cdot18^{11}\cdot27^{2}\cdot36^{4}\cdot54^{3}\cdot108\cdot162^{2}\cdot324$		$0$		$\begin{bmatrix}1&0\\0&5\end{bmatrix}$
38.41040.1441-38.d.1.1	38.41040.1441.3					$X_{\mathrm{arith}}(38)$	$38$	$41040$	$1441$	$64$	$204 \le \gamma \le 570$	$540$	$27$		$2^{1138}\cdot19^{2754}$				$1^{37}\cdot2^{55}\cdot3^{10}\cdot4^{32}\cdot6^{76}\cdot8^{8}\cdot12^{32}\cdot16\cdot24^{7}\cdot48$		$0$		$\begin{bmatrix}33&0\\0&1\end{bmatrix}$
39.52416.1849-39.d.1.1	39.52416.1849.1					$X_{\mathrm{arith}}(39)$	$39$	$52416$	$1849$	$54$	$260 \le \gamma \le 624$	$672$	$12$		$3^{2476}\cdot13^{3456}$				$1^{17}\cdot2^{98}\cdot3^{20}\cdot4^{74}\cdot6^{32}\cdot8^{49}\cdot12^{16}\cdot24^{3}\cdot48^{3}\cdot96^{3}$		$0$		$\begin{bmatrix}14&0\\0&19\end{bmatrix}$, $\begin{bmatrix}14&0\\0&25\end{bmatrix}$
40.46080.1633-40.en.1.1	40.46080.1633.2					$X_{\mathrm{arith}}(40)$	$40$	$46080$	$1633$	$95$	$229 \le \gamma \le 384$	$576$	$16$		$2^{7130}\cdot5^{2678}$				$1^{163}\cdot2^{285}\cdot4^{127}\cdot8^{49}$		$0$		$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}1&0\\0&21\end{bmatrix}$, $\begin{bmatrix}17&0\\0&31\end{bmatrix}$
41.68880.2451-41.i.1.1	41.68880.2451.1				41Cs.1.1	$X_{\mathrm{arith}}(41)$	$41$	$68880$	$2451$	$62$	$342 \le \gamma \le 1230$	$840$	$20$		$41^{4800}$				$2^{5}\cdot3^{5}\cdot4^{2}\cdot6^{7}\cdot8^{17}\cdot12^{8}\cdot16^{6}\cdot18^{2}\cdot24^{20}\cdot32^{4}\cdot36\cdot48^{9}\cdot72^{3}\cdot96\cdot144\cdot192\cdot288$		$0$		$\begin{bmatrix}1&0\\0&19\end{bmatrix}$
42.48384.1729-42.b.1.1	42.48384.1729.3					$X_{\mathrm{arith}}(42)$	$42$	$48384$	$1729$	$61$	$240 \le \gamma \le 432$	$576$	$18$		$2^{1342}\cdot3^{2302}\cdot7^{3022}$				$1^{193}\cdot2^{300}\cdot4^{92}\cdot8^{35}\cdot16^{18}$		$0$		$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&29\end{bmatrix}$
43.79464.2850-43.i.1.1	43.79464.2850.1				43Cs.1.1	$X_{\mathrm{arith}}(43)$	$43$	$79464$	$2850$	$62$	$395 \le \gamma \le 1935$	$924$	$21$		$43^{5586}$				$1^{6}\cdot2^{12}\cdot3^{4}\cdot4^{6}\cdot6^{23}\cdot10\cdot12^{22}\cdot18^{2}\cdot20^{4}\cdot24^{5}\cdot36^{21}\cdot40^{3}\cdot60\cdot120^{4}\cdot240^{3}$		$0$		$\begin{bmatrix}34&0\\0&1\end{bmatrix}$
44.63360.2281-44.g.1.1	44.63360.2281.81					$X_{\mathrm{arith}}(44)$	$44$	$63360$	$2281$	$88$	$315 \le \gamma \le 704$	$720$	$20$		$2^{5676}\cdot11^{4200}$				$1^{79}\cdot2^{69}\cdot4^{158}\cdot8^{71}\cdot16^{38}\cdot64^{4}$		$0$		$\begin{bmatrix}17&0\\0&1\end{bmatrix}$, $\begin{bmatrix}23&0\\0&1\end{bmatrix}$
45.77760.2809-45.b.1.2	45.77760.2809.2					$X_{\mathrm{arith}}(45)$	$45$	$77760$	$2809$	$96$	$386 \le \gamma \le 648$	$864$	$12$		$3^{8942}\cdot5^{4588}$				$1^{91}\cdot2^{137}\cdot3^{6}\cdot4^{132}\cdot6^{17}\cdot8^{76}\cdot12^{5}\cdot16^{45}\cdot24^{9}\cdot32^{6}$		$0$		$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}44&0\\0&1\end{bmatrix}$
46.72864.2641-46.e.1.2	46.72864.2641.1					$X_{\mathrm{arith}}(46)$	$46$	$72864$	$2641$	$95$	$362 \le \gamma \le 1012$	$792$	$33$		$2^{2022}\cdot23^{5082}$				$1^{22}\cdot2^{29}\cdot3^{3}\cdot4^{8}\cdot5^{14}\cdot6\cdot8^{3}\cdot10^{97}\cdot20^{37}\cdot30^{3}\cdot40^{8}\cdot60\cdot80^{3}$		$0$		$\begin{bmatrix}11&0\\0&1\end{bmatrix}$
47.103776.3773-47.l.1.2	47.103776.3773.1				47Cs.1.1	$X_{\mathrm{arith}}(47)$	$47$	$103776$	$3773$	$73$	$515 \le \gamma \le 3290$	$1104$	$23$		$47^{7406}$				$1^{2}\cdot3^{2}\cdot4^{3}\cdot5\cdot8\cdot10\cdot16^{2}\cdot22^{2}\cdot24\cdot33^{2}\cdot66^{25}\cdot88^{2}\cdot110\cdot176\cdot220\cdot352^{2}\cdot528$		$0$		$\begin{bmatrix}23&0\\0&1\end{bmatrix}$
48.73728.2689-48.dq.1.1	48.73728.2689.1					$X_{\mathrm{arith}}(48)$	$48$	$73728$	$2689$	$121$	$366 \le \gamma \le 512$	$768$	$16$		$2^{16824}\cdot3^{3550}$				$1^{293}\cdot2^{270}\cdot4^{162}\cdot8^{83}\cdot12^{24}\cdot16^{16}$		$0$		$\begin{bmatrix}17&0\\0&1\end{bmatrix}$, $\begin{bmatrix}23&0\\0&1\end{bmatrix}$, $\begin{bmatrix}35&0\\0&1\end{bmatrix}$
49.115248.4215-49.k.1.2	49.115248.4215.1					$X_{\mathrm{arith}}(49)$	$49$	$115248$	$4215$	$105$	$572 \le \gamma \le 1029$	$1176$	$21$		$7^{15642}$				$1^{3}\cdot2^{3}\cdot3^{6}\cdot6^{30}\cdot9^{2}\cdot12^{57}\cdot18^{9}\cdot24^{11}\cdot36^{10}\cdot48^{28}\cdot72^{3}\cdot96^{4}\cdot192^{3}$		$0$		$\begin{bmatrix}47&0\\0&1\end{bmatrix}$
50.90000.3301-50.f.1.1	50.90000.3301.1					$X_{\mathrm{arith}}(50)$	$50$	$90000$	$3301$	$124$	$447 \le \gamma \le 750$	$900$	$30$		$2^{2498}\cdot5^{11782}$				$1^{19}\cdot2^{63}\cdot4^{156}\cdot6^{2}\cdot8^{170}\cdot12^{8}\cdot16^{46}\cdot24^{3}\cdot32^{8}$		$0$		$\begin{bmatrix}3&0\\0&1\end{bmatrix}$