LMFDB - Modular curve search results

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Level	Index	Genus	Rank	Genus-rank difference

$\Q$-gonality	Cusps	$\Q$-cusps	Elliptic points of order 2	Elliptic points of order 3

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Results (1-50 of 80 matches)

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Label	RSZB label	CP label	Level	Index	Genus	Rank	$\Q$-gonality	Cusps	$\Q$-cusps	Conductor	Simple	Squarefree	Decomposition	$j$-points	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
12.96.0-12.a.1.1	12.96.0.9	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&6\\0&1\end{bmatrix}$, $\begin{bmatrix}1&6\\6&7\end{bmatrix}$, $\begin{bmatrix}1&10\\6&11\end{bmatrix}$, $\begin{bmatrix}11&10\\0&5\end{bmatrix}$
12.96.0-12.a.1.10	12.96.0.44	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\0&7\end{bmatrix}$, $\begin{bmatrix}1&10\\0&11\end{bmatrix}$, $\begin{bmatrix}1&10\\6&5\end{bmatrix}$, $\begin{bmatrix}11&10\\6&5\end{bmatrix}$
12.96.0-12.a.1.11	12.96.0.5	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&2\\6&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&5\end{bmatrix}$, $\begin{bmatrix}11&10\\0&5\end{bmatrix}$, $\begin{bmatrix}11&10\\6&1\end{bmatrix}$
12.96.0-12.a.1.12	12.96.0.16	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\0&7\end{bmatrix}$, $\begin{bmatrix}1&6\\6&11\end{bmatrix}$, $\begin{bmatrix}1&10\\6&1\end{bmatrix}$, $\begin{bmatrix}11&8\\6&1\end{bmatrix}$
12.96.0-12.a.1.13	12.96.0.6	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&2\\0&5\end{bmatrix}$, $\begin{bmatrix}11&0\\6&5\end{bmatrix}$, $\begin{bmatrix}11&0\\6&7\end{bmatrix}$, $\begin{bmatrix}11&10\\6&7\end{bmatrix}$
12.96.0-12.a.1.14	12.96.0.8	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&2\\0&7\end{bmatrix}$, $\begin{bmatrix}1&8\\6&5\end{bmatrix}$, $\begin{bmatrix}11&2\\0&7\end{bmatrix}$, $\begin{bmatrix}11&4\\0&5\end{bmatrix}$
12.96.0-12.a.1.15	12.96.0.4	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&0\\6&7\end{bmatrix}$, $\begin{bmatrix}1&2\\0&7\end{bmatrix}$, $\begin{bmatrix}11&2\\6&1\end{bmatrix}$, $\begin{bmatrix}11&6\\0&1\end{bmatrix}$
12.96.0-12.a.1.16	12.96.0.48	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&6\\0&7\end{bmatrix}$, $\begin{bmatrix}11&0\\0&7\end{bmatrix}$, $\begin{bmatrix}11&8\\6&11\end{bmatrix}$, $\begin{bmatrix}11&10\\6&7\end{bmatrix}$
12.96.0-12.a.1.2	12.96.0.7	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&0\\6&11\end{bmatrix}$, $\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}1&8\\0&7\end{bmatrix}$, $\begin{bmatrix}11&10\\0&5\end{bmatrix}$
12.96.0-12.a.1.3	12.96.0.43	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&6\\6&1\end{bmatrix}$, $\begin{bmatrix}11&0\\6&7\end{bmatrix}$, $\begin{bmatrix}11&10\\0&5\end{bmatrix}$, $\begin{bmatrix}11&10\\6&5\end{bmatrix}$
12.96.0-12.a.1.4	12.96.0.49	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&10\\6&1\end{bmatrix}$, $\begin{bmatrix}11&4\\6&11\end{bmatrix}$, $\begin{bmatrix}11&8\\6&5\end{bmatrix}$, $\begin{bmatrix}11&10\\6&1\end{bmatrix}$
12.96.0-12.a.1.5	12.96.0.45	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\6&5\end{bmatrix}$, $\begin{bmatrix}1&6\\6&5\end{bmatrix}$, $\begin{bmatrix}1&10\\6&11\end{bmatrix}$, $\begin{bmatrix}11&2\\0&7\end{bmatrix}$
12.96.0-12.a.1.6	12.96.0.47	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\6&1\end{bmatrix}$, $\begin{bmatrix}1&8\\0&11\end{bmatrix}$, $\begin{bmatrix}1&10\\0&7\end{bmatrix}$, $\begin{bmatrix}11&10\\0&1\end{bmatrix}$
12.96.0-12.a.1.7	12.96.0.1	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&2\\6&1\end{bmatrix}$, $\begin{bmatrix}1&6\\6&7\end{bmatrix}$, $\begin{bmatrix}1&8\\6&5\end{bmatrix}$, $\begin{bmatrix}1&10\\0&1\end{bmatrix}$
12.96.0-12.a.1.8	12.96.0.15	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\6&7\end{bmatrix}$, $\begin{bmatrix}1&10\\0&11\end{bmatrix}$, $\begin{bmatrix}11&0\\6&7\end{bmatrix}$, $\begin{bmatrix}11&4\\6&11\end{bmatrix}$
12.96.0-12.a.1.9	12.96.0.46	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&2\\0&11\end{bmatrix}$, $\begin{bmatrix}11&2\\6&1\end{bmatrix}$, $\begin{bmatrix}11&2\\6&11\end{bmatrix}$, $\begin{bmatrix}11&10\\0&7\end{bmatrix}$
12.96.0-12.a.2.1	12.96.0.14	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&0\\6&11\end{bmatrix}$, $\begin{bmatrix}5&0\\6&1\end{bmatrix}$, $\begin{bmatrix}5&4\\6&11\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$
12.96.0-12.a.2.10	12.96.0.54	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}5&2\\0&11\end{bmatrix}$, $\begin{bmatrix}7&8\\6&1\end{bmatrix}$, $\begin{bmatrix}11&6\\0&1\end{bmatrix}$, $\begin{bmatrix}11&8\\6&11\end{bmatrix}$
12.96.0-12.a.2.11	12.96.0.11	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\6&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&2\\0&11\end{bmatrix}$, $\begin{bmatrix}11&0\\6&1\end{bmatrix}$
12.96.0-12.a.2.12	12.96.0.13	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&2\\6&1\end{bmatrix}$, $\begin{bmatrix}11&4\\6&11\end{bmatrix}$, $\begin{bmatrix}11&6\\6&1\end{bmatrix}$
12.96.0-12.a.2.13	12.96.0.2	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&6\\0&1\end{bmatrix}$, $\begin{bmatrix}1&8\\6&11\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$, $\begin{bmatrix}7&8\\6&1\end{bmatrix}$
12.96.0-12.a.2.14	12.96.0.55	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&2\\0&11\end{bmatrix}$, $\begin{bmatrix}1&8\\6&11\end{bmatrix}$, $\begin{bmatrix}5&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&10\\0&1\end{bmatrix}$
12.96.0-12.a.2.15	12.96.0.3	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&6\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\6&1\end{bmatrix}$, $\begin{bmatrix}7&4\\6&1\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$
12.96.0-12.a.2.16	12.96.0.17	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}5&2\\6&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&11\end{bmatrix}$, $\begin{bmatrix}7&8\\6&11\end{bmatrix}$, $\begin{bmatrix}7&10\\0&11\end{bmatrix}$
12.96.0-12.a.2.2	12.96.0.12	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&8\\6&11\end{bmatrix}$, $\begin{bmatrix}7&8\\0&1\end{bmatrix}$, $\begin{bmatrix}11&8\\6&11\end{bmatrix}$, $\begin{bmatrix}11&10\\0&1\end{bmatrix}$
12.96.0-12.a.2.3	12.96.0.53	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}7&2\\6&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\6&1\end{bmatrix}$, $\begin{bmatrix}11&6\\6&11\end{bmatrix}$
12.96.0-12.a.2.4	12.96.0.51	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\0&11\end{bmatrix}$, $\begin{bmatrix}5&10\\6&1\end{bmatrix}$, $\begin{bmatrix}7&2\\0&11\end{bmatrix}$, $\begin{bmatrix}7&4\\0&11\end{bmatrix}$
12.96.0-12.a.2.5	12.96.0.10	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\6&11\end{bmatrix}$, $\begin{bmatrix}1&6\\6&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&11\end{bmatrix}$, $\begin{bmatrix}5&6\\6&1\end{bmatrix}$
12.96.0-12.a.2.6	12.96.0.18	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}5&2\\6&1\end{bmatrix}$, $\begin{bmatrix}7&4\\6&11\end{bmatrix}$, $\begin{bmatrix}7&6\\0&11\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$
12.96.0-12.a.2.7	12.96.0.50	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&6\\0&1\end{bmatrix}$, $\begin{bmatrix}1&6\\6&1\end{bmatrix}$, $\begin{bmatrix}7&8\\6&11\end{bmatrix}$, $\begin{bmatrix}11&8\\0&1\end{bmatrix}$
12.96.0-12.a.2.8	12.96.0.56	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\0&11\end{bmatrix}$, $\begin{bmatrix}5&4\\6&11\end{bmatrix}$, $\begin{bmatrix}7&2\\6&1\end{bmatrix}$, $\begin{bmatrix}11&8\\6&1\end{bmatrix}$
12.96.0-12.a.2.9	12.96.0.52	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}5&2\\6&11\end{bmatrix}$, $\begin{bmatrix}5&10\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&11\end{bmatrix}$, $\begin{bmatrix}7&0\\6&11\end{bmatrix}$
12.96.0-12.b.1.1	12.96.0.66	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}5&9\\6&5\end{bmatrix}$, $\begin{bmatrix}5&10\\6&1\end{bmatrix}$, $\begin{bmatrix}11&8\\0&7\end{bmatrix}$
12.96.0-12.b.1.2	12.96.0.79	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&3\\6&5\end{bmatrix}$, $\begin{bmatrix}5&10\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\6&11\end{bmatrix}$
12.96.0-12.b.1.3	12.96.0.39	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&3\\0&11\end{bmatrix}$, $\begin{bmatrix}1&3\\6&1\end{bmatrix}$, $\begin{bmatrix}1&7\\0&7\end{bmatrix}$
12.96.0-12.b.1.4	12.96.0.22	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}5&5\\0&7\end{bmatrix}$, $\begin{bmatrix}5&6\\6&1\end{bmatrix}$, $\begin{bmatrix}7&3\\6&11\end{bmatrix}$
12.96.0-12.b.1.5	12.96.0.41	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}5&1\\6&1\end{bmatrix}$, $\begin{bmatrix}5&1\\6&5\end{bmatrix}$, $\begin{bmatrix}5&9\\0&11\end{bmatrix}$
12.96.0-12.b.1.6	12.96.0.21	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}7&2\\0&11\end{bmatrix}$, $\begin{bmatrix}11&4\\6&11\end{bmatrix}$, $\begin{bmatrix}11&9\\6&11\end{bmatrix}$
12.96.0-12.b.1.7	12.96.0.60	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}5&5\\6&1\end{bmatrix}$, $\begin{bmatrix}7&7\\0&1\end{bmatrix}$, $\begin{bmatrix}7&10\\6&7\end{bmatrix}$
12.96.0-12.b.1.8	12.96.0.80	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}7&6\\6&11\end{bmatrix}$, $\begin{bmatrix}11&5\\0&5\end{bmatrix}$, $\begin{bmatrix}11&8\\0&7\end{bmatrix}$
12.96.0-12.b.2.1	12.96.0.42	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&1\\6&5\end{bmatrix}$, $\begin{bmatrix}7&5\\0&5\end{bmatrix}$, $\begin{bmatrix}11&9\\0&5\end{bmatrix}$
12.96.0-12.b.2.2	12.96.0.19	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}5&6\\6&5\end{bmatrix}$, $\begin{bmatrix}7&5\\6&11\end{bmatrix}$, $\begin{bmatrix}11&2\\0&7\end{bmatrix}$
12.96.0-12.b.2.3	12.96.0.63	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&2\\0&5\end{bmatrix}$, $\begin{bmatrix}11&3\\6&7\end{bmatrix}$, $\begin{bmatrix}11&9\\0&5\end{bmatrix}$
12.96.0-12.b.2.4	12.96.0.77	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&6\\0&5\end{bmatrix}$, $\begin{bmatrix}1&11\\0&7\end{bmatrix}$, $\begin{bmatrix}5&8\\6&1\end{bmatrix}$
12.96.0-12.b.2.5	12.96.0.57	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&1\\6&5\end{bmatrix}$, $\begin{bmatrix}1&4\\6&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&11\end{bmatrix}$
12.96.0-12.b.2.6	12.96.0.78	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&2\\0&5\end{bmatrix}$, $\begin{bmatrix}5&5\\0&11\end{bmatrix}$, $\begin{bmatrix}7&11\\6&7\end{bmatrix}$
12.96.0-12.b.2.7	12.96.0.40	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}5&4\\6&1\end{bmatrix}$, $\begin{bmatrix}5&7\\6&1\end{bmatrix}$, $\begin{bmatrix}7&7\\6&7\end{bmatrix}$
12.96.0-12.b.2.8	12.96.0.20	12I0	$12$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$10$	$\begin{bmatrix}1&9\\0&11\end{bmatrix}$, $\begin{bmatrix}5&5\\0&11\end{bmatrix}$, $\begin{bmatrix}11&8\\6&11\end{bmatrix}$
12.96.0-12.c.1.1	12.96.0.25	12J0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&4\\0&5\end{bmatrix}$, $\begin{bmatrix}11&1\\0&5\end{bmatrix}$, $\begin{bmatrix}11&9\\0&11\end{bmatrix}$
12.96.0-12.c.1.2	12.96.0.73	12J0	$12$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$18$	$\begin{bmatrix}1&9\\0&11\end{bmatrix}$, $\begin{bmatrix}11&4\\0&5\end{bmatrix}$, $\begin{bmatrix}11&6\\0&7\end{bmatrix}$

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