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

Simple	Squarefree	CM points	Fiber product with	Minimally covers

Minimally covered by	Contains $-I$	Points	Obstructions	Family

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Results (1-50 of 411 matches)

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Label	RSZB label	RZB label	CP label	Level	Index	Genus	Rank	$\Q$-gonality	Cusps	$\Q$-cusps	Conductor	Simple	Squarefree	Decomposition	$j$-points	Local obstruction	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
8.96.0-8.a.1.1	8.96.0.81		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\4&5\end{bmatrix}$
8.96.0-8.a.1.2	8.96.0.4		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$
8.96.0-8.a.1.3	8.96.0.95		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.a.1.4	8.96.0.72		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.a.1.5	8.96.0.73		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\4&1\end{bmatrix}$, $\begin{bmatrix}5&0\\4&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.a.1.6	8.96.0.94		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.a.1.7	8.96.0.67		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}1&4\\4&1\end{bmatrix}$, $\begin{bmatrix}5&0\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$
8.96.0-8.a.1.8	8.96.0.66		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&4\\4&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\4&3\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$
8.96.0-8.a.1.9	8.96.0.6		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\4&5\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$
8.96.0-8.a.1.10	8.96.0.92		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\4&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$
8.96.0-8.b.1.1	8.96.0.8	X183i	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$
8.96.0-8.b.1.2	8.96.0.80	X183j	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$
8.96.0-8.b.1.3	8.96.0.96	X183g	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$
8.96.0-8.b.1.4	8.96.0.68	X183f	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$, $\begin{bmatrix}7&6\\4&1\end{bmatrix}$
8.96.0-8.b.1.5	8.96.0.74	X183e	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}1&6\\4&7\end{bmatrix}$, $\begin{bmatrix}3&6\\0&1\end{bmatrix}$
8.96.0-8.b.1.6	8.96.0.82	X183h	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&6\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$, $\begin{bmatrix}7&6\\4&1\end{bmatrix}$
8.96.0-8.b.1.7	8.96.0.76	X183b	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}5&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.b.1.8	8.96.0.65	X183c	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\4&1\end{bmatrix}$, $\begin{bmatrix}5&0\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$, $\begin{bmatrix}7&6\\4&1\end{bmatrix}$
8.96.0-8.b.1.9	8.96.0.75	X183k	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&4\\4&7\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$
8.96.0-8.b.1.10	8.96.0.93	X183l	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$, $\begin{bmatrix}7&6\\0&1\end{bmatrix}$
8.96.0-8.b.1.11	8.96.0.7	X183d	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}1&6\\4&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$
8.96.0-8.b.1.12	8.96.0.91	X183a	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$, $\begin{bmatrix}7&6\\4&1\end{bmatrix}$
8.96.0-8.b.2.1	8.96.0.86	X187e	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$
8.96.0-8.b.2.2	8.96.0.1	X187k	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&0\\4&5\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&2\\0&1\end{bmatrix}$
8.96.0-8.b.2.3	8.96.0.77	X187h	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.b.2.4	8.96.0.78	X187l	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.b.2.5	8.96.0.69	X187b	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}3&6\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.b.2.6	8.96.0.87	X187g	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}5&2\\0&3\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.b.2.7	8.96.0.61	X187c	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&5\end{bmatrix}$, $\begin{bmatrix}1&4\\4&1\end{bmatrix}$, $\begin{bmatrix}3&2\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&3\end{bmatrix}$
8.96.0-8.b.2.8	8.96.0.62	X187f	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&4\\4&1\end{bmatrix}$, $\begin{bmatrix}3&2\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&7\end{bmatrix}$
8.96.0-8.b.2.9	8.96.0.3	X187d	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&0\\4&5\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&2\\0&3\end{bmatrix}$
8.96.0-8.b.2.10	8.96.0.85	X187i	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}5&2\\4&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$
8.96.0-8.b.2.11	8.96.0.84	X187a	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&2\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.b.2.12	8.96.0.83	X187j	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}3&2\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.c.1.1	8.96.0.2	X189d	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&0\\4&5\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$
8.96.0-8.c.1.2	8.96.0.89	X189c	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.c.1.3	8.96.0.70	X189b	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.c.1.4	8.96.0.63	X189a	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\4&3\end{bmatrix}$, $\begin{bmatrix}1&0\\4&7\end{bmatrix}$, $\begin{bmatrix}1&4\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&1\end{bmatrix}$
8.96.0-8.c.1.5	8.96.0.79	X189i	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$
8.96.0-8.c.1.6	8.96.0.71	X189h	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.c.1.7	8.96.0.90	X189k	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}7&4\\4&7\end{bmatrix}$
8.96.0-8.c.1.8	8.96.0.64	X189j	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}1&0\\4&7\end{bmatrix}$, $\begin{bmatrix}1&4\\4&1\end{bmatrix}$, $\begin{bmatrix}7&4\\4&1\end{bmatrix}$
8.96.0-8.c.1.9	8.96.0.88	X189l	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&0\\4&7\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$
8.96.0-8.c.1.10	8.96.0.5	X189e	8N0	$8$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$7$		$\begin{bmatrix}1&0\\4&1\end{bmatrix}$, $\begin{bmatrix}1&0\\4&5\end{bmatrix}$, $\begin{bmatrix}1&4\\0&1\end{bmatrix}$, $\begin{bmatrix}7&4\\0&1\end{bmatrix}$
8.96.0-8.d.1.1	8.96.0.36		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&2\\4&5\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$, $\begin{bmatrix}5&4\\4&3\end{bmatrix}$
8.96.0-8.d.1.2	8.96.0.47		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&0\\4&5\end{bmatrix}$, $\begin{bmatrix}3&4\\0&5\end{bmatrix}$, $\begin{bmatrix}3&6\\0&1\end{bmatrix}$
8.96.0-8.d.1.3	8.96.0.119		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&2\\0&5\end{bmatrix}$, $\begin{bmatrix}5&4\\4&3\end{bmatrix}$, $\begin{bmatrix}7&2\\4&3\end{bmatrix}$
8.96.0-8.d.1.4	8.96.0.143		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&6\\0&5\end{bmatrix}$, $\begin{bmatrix}3&0\\4&5\end{bmatrix}$, $\begin{bmatrix}7&0\\4&7\end{bmatrix}$
8.96.0-8.d.1.5	8.96.0.10		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&0\\4&5\end{bmatrix}$, $\begin{bmatrix}5&2\\4&7\end{bmatrix}$, $\begin{bmatrix}5&6\\0&7\end{bmatrix}$
8.96.0-8.d.1.6	8.96.0.16		8N0	$8$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&2\\0&1\end{bmatrix}$, $\begin{bmatrix}7&2\\0&3\end{bmatrix}$, $\begin{bmatrix}7&6\\4&3\end{bmatrix}$

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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.