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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Minimally covered by	Contains $-I$	Points	Obstructions	Family

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Label	RSZB 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
40.96.0-8.a.1.1	40.96.0.272	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&24\\32&23\end{bmatrix}$, $\begin{bmatrix}11&4\\34&33\end{bmatrix}$, $\begin{bmatrix}15&36\\6&25\end{bmatrix}$, $\begin{bmatrix}27&36\\16&19\end{bmatrix}$, $\begin{bmatrix}31&12\\32&3\end{bmatrix}$
40.96.0-8.a.1.2	40.96.0.266	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&24\\38&3\end{bmatrix}$, $\begin{bmatrix}11&8\\10&13\end{bmatrix}$, $\begin{bmatrix}11&12\\12&27\end{bmatrix}$, $\begin{bmatrix}11&16\\22&29\end{bmatrix}$, $\begin{bmatrix}31&24\\20&7\end{bmatrix}$
40.96.0-8.a.1.3	40.96.0.270	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}7&24\\16&23\end{bmatrix}$, $\begin{bmatrix}11&8\\30&13\end{bmatrix}$, $\begin{bmatrix}29&20\\38&39\end{bmatrix}$, $\begin{bmatrix}33&0\\12&17\end{bmatrix}$, $\begin{bmatrix}37&16\\4&1\end{bmatrix}$
40.96.0-8.a.1.4	40.96.0.273	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&28\\24&5\end{bmatrix}$, $\begin{bmatrix}7&20\\20&3\end{bmatrix}$, $\begin{bmatrix}9&0\\10&27\end{bmatrix}$, $\begin{bmatrix}35&28\\28&11\end{bmatrix}$, $\begin{bmatrix}39&12\\32&35\end{bmatrix}$
40.96.0-8.a.1.5	40.96.0.274	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&12\\28&37\end{bmatrix}$, $\begin{bmatrix}13&24\\20&1\end{bmatrix}$, $\begin{bmatrix}23&16\\0&39\end{bmatrix}$, $\begin{bmatrix}29&8\\24&9\end{bmatrix}$, $\begin{bmatrix}29&16\\34&3\end{bmatrix}$
40.96.0-8.a.1.6	40.96.0.269	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&16\\14&35\end{bmatrix}$, $\begin{bmatrix}3&20\\38&1\end{bmatrix}$, $\begin{bmatrix}7&20\\14&33\end{bmatrix}$, $\begin{bmatrix}27&8\\16&7\end{bmatrix}$, $\begin{bmatrix}37&28\\30&39\end{bmatrix}$
40.96.0-8.a.1.7	40.96.0.268	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&16\\6&35\end{bmatrix}$, $\begin{bmatrix}5&4\\6&39\end{bmatrix}$, $\begin{bmatrix}7&24\\38&29\end{bmatrix}$, $\begin{bmatrix}25&12\\4&21\end{bmatrix}$, $\begin{bmatrix}35&32\\38&5\end{bmatrix}$
40.96.0-8.a.1.8	40.96.0.267	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}9&20\\26&7\end{bmatrix}$, $\begin{bmatrix}21&28\\4&5\end{bmatrix}$, $\begin{bmatrix}31&24\\34&37\end{bmatrix}$, $\begin{bmatrix}33&16\\36&1\end{bmatrix}$, $\begin{bmatrix}37&20\\10&23\end{bmatrix}$
40.96.0-8.a.1.9	40.96.0.265	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&36\\24&5\end{bmatrix}$, $\begin{bmatrix}25&24\\22&3\end{bmatrix}$, $\begin{bmatrix}35&4\\6&33\end{bmatrix}$, $\begin{bmatrix}35&16\\34&29\end{bmatrix}$, $\begin{bmatrix}39&36\\4&3\end{bmatrix}$
40.96.0-8.a.1.10	40.96.0.271	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&36\\18&7\end{bmatrix}$, $\begin{bmatrix}17&12\\20&29\end{bmatrix}$, $\begin{bmatrix}19&12\\2&17\end{bmatrix}$, $\begin{bmatrix}21&32\\16&25\end{bmatrix}$, $\begin{bmatrix}33&16\\10&11\end{bmatrix}$
40.96.0-40.a.1.1	40.96.0.2	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&16\\26&5\end{bmatrix}$, $\begin{bmatrix}3&36\\26&21\end{bmatrix}$, $\begin{bmatrix}7&0\\10&37\end{bmatrix}$, $\begin{bmatrix}11&12\\14&17\end{bmatrix}$, $\begin{bmatrix}35&28\\14&37\end{bmatrix}$
40.96.0-40.a.1.2	40.96.0.207	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&12\\22&39\end{bmatrix}$, $\begin{bmatrix}7&20\\8&31\end{bmatrix}$, $\begin{bmatrix}9&8\\30&11\end{bmatrix}$, $\begin{bmatrix}15&24\\8&3\end{bmatrix}$, $\begin{bmatrix}35&16\\28&11\end{bmatrix}$
40.96.0-40.a.1.3	40.96.0.248	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}23&0\\20&19\end{bmatrix}$, $\begin{bmatrix}23&28\\38&1\end{bmatrix}$, $\begin{bmatrix}35&28\\8&35\end{bmatrix}$, $\begin{bmatrix}37&8\\26&15\end{bmatrix}$, $\begin{bmatrix}37&20\\26&11\end{bmatrix}$
40.96.0-40.a.1.4	40.96.0.257	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}9&32\\28&21\end{bmatrix}$, $\begin{bmatrix}25&28\\36&33\end{bmatrix}$, $\begin{bmatrix}27&16\\30&9\end{bmatrix}$, $\begin{bmatrix}31&0\\6&21\end{bmatrix}$, $\begin{bmatrix}33&28\\22&39\end{bmatrix}$
40.96.0-40.a.1.5	40.96.0.241	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}27&20\\38&21\end{bmatrix}$, $\begin{bmatrix}31&28\\24&15\end{bmatrix}$, $\begin{bmatrix}31&32\\22&5\end{bmatrix}$, $\begin{bmatrix}31&36\\4&7\end{bmatrix}$, $\begin{bmatrix}39&0\\22&17\end{bmatrix}$
40.96.0-40.a.1.6	40.96.0.303	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&4\\4&37\end{bmatrix}$, $\begin{bmatrix}7&0\\2&1\end{bmatrix}$, $\begin{bmatrix}7&32\\30&9\end{bmatrix}$, $\begin{bmatrix}29&32\\24&29\end{bmatrix}$, $\begin{bmatrix}33&4\\6&27\end{bmatrix}$
40.96.0-40.a.1.7	40.96.0.294	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}11&32\\28&3\end{bmatrix}$, $\begin{bmatrix}15&28\\24&15\end{bmatrix}$, $\begin{bmatrix}25&24\\18&31\end{bmatrix}$, $\begin{bmatrix}29&16\\2&27\end{bmatrix}$, $\begin{bmatrix}29&28\\36&25\end{bmatrix}$
40.96.0-40.a.1.8	40.96.0.203	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&4\\32&25\end{bmatrix}$, $\begin{bmatrix}5&24\\34&11\end{bmatrix}$, $\begin{bmatrix}5&32\\14&31\end{bmatrix}$, $\begin{bmatrix}23&36\\28&15\end{bmatrix}$, $\begin{bmatrix}35&12\\4&15\end{bmatrix}$
40.96.0-40.a.1.9	40.96.0.211	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}7&4\\2&13\end{bmatrix}$, $\begin{bmatrix}9&16\\12&5\end{bmatrix}$, $\begin{bmatrix}17&0\\18&27\end{bmatrix}$, $\begin{bmatrix}21&4\\0&17\end{bmatrix}$, $\begin{bmatrix}27&32\\34&25\end{bmatrix}$
40.96.0-40.a.1.10	40.96.0.299	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&32\\14&17\end{bmatrix}$, $\begin{bmatrix}9&32\\30&7\end{bmatrix}$, $\begin{bmatrix}13&36\\24&5\end{bmatrix}$, $\begin{bmatrix}15&16\\12&35\end{bmatrix}$, $\begin{bmatrix}21&16\\2&3\end{bmatrix}$
40.96.0-40.a.1.11	40.96.0.5	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&24\\36&9\end{bmatrix}$, $\begin{bmatrix}21&32\\4&21\end{bmatrix}$, $\begin{bmatrix}25&8\\26&23\end{bmatrix}$, $\begin{bmatrix}25&32\\14&23\end{bmatrix}$, $\begin{bmatrix}33&28\\14&31\end{bmatrix}$
40.96.0-40.a.1.12	40.96.0.237	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&32\\32&17\end{bmatrix}$, $\begin{bmatrix}7&32\\10&13\end{bmatrix}$, $\begin{bmatrix}7&36\\2&9\end{bmatrix}$, $\begin{bmatrix}27&20\\24&39\end{bmatrix}$, $\begin{bmatrix}27&32\\6&13\end{bmatrix}$
40.96.0-40.a.1.13	40.96.0.262	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&0\\20&37\end{bmatrix}$, $\begin{bmatrix}19&4\\32&11\end{bmatrix}$, $\begin{bmatrix}23&32\\30&9\end{bmatrix}$, $\begin{bmatrix}25&28\\6&19\end{bmatrix}$, $\begin{bmatrix}29&36\\22&11\end{bmatrix}$
40.96.0-40.a.1.14	40.96.0.202	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}15&12\\26&29\end{bmatrix}$, $\begin{bmatrix}19&8\\0&3\end{bmatrix}$, $\begin{bmatrix}25&36\\6&31\end{bmatrix}$, $\begin{bmatrix}29&4\\12&25\end{bmatrix}$, $\begin{bmatrix}29&12\\26&7\end{bmatrix}$
40.96.0-40.a.1.15	40.96.0.191	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}5&32\\22&19\end{bmatrix}$, $\begin{bmatrix}19&24\\32&23\end{bmatrix}$, $\begin{bmatrix}23&28\\32&31\end{bmatrix}$, $\begin{bmatrix}23&36\\22&5\end{bmatrix}$, $\begin{bmatrix}35&36\\34&25\end{bmatrix}$
40.96.0-40.a.1.16	40.96.0.305	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}7&32\\10&37\end{bmatrix}$, $\begin{bmatrix}9&32\\12&13\end{bmatrix}$, $\begin{bmatrix}29&12\\2&7\end{bmatrix}$, $\begin{bmatrix}33&36\\14&31\end{bmatrix}$, $\begin{bmatrix}37&8\\38&35\end{bmatrix}$
40.96.0-40.a.1.17	40.96.0.249	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&36\\22&17\end{bmatrix}$, $\begin{bmatrix}11&16\\24&15\end{bmatrix}$, $\begin{bmatrix}27&32\\34&21\end{bmatrix}$, $\begin{bmatrix}33&24\\8&13\end{bmatrix}$, $\begin{bmatrix}35&24\\28&11\end{bmatrix}$
40.96.0-40.a.1.18	40.96.0.289	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}11&24\\20&31\end{bmatrix}$, $\begin{bmatrix}13&12\\6&35\end{bmatrix}$, $\begin{bmatrix}21&28\\34&19\end{bmatrix}$, $\begin{bmatrix}31&8\\2&9\end{bmatrix}$, $\begin{bmatrix}33&28\\38&15\end{bmatrix}$
40.96.0-40.a.1.19	40.96.0.309	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}1&12\\0&21\end{bmatrix}$, $\begin{bmatrix}7&16\\14&29\end{bmatrix}$, $\begin{bmatrix}13&0\\22&31\end{bmatrix}$, $\begin{bmatrix}13&4\\16&9\end{bmatrix}$, $\begin{bmatrix}29&4\\14&15\end{bmatrix}$
40.96.0-40.a.1.20	40.96.0.192	8N0	$40$	$96$	$0$	$0$	$2$	$10$	$0$	$?$	?	?	not computed	$0$	✓	$\begin{bmatrix}3&4\\18&17\end{bmatrix}$, $\begin{bmatrix}13&0\\20&21\end{bmatrix}$, $\begin{bmatrix}15&12\\16&7\end{bmatrix}$, $\begin{bmatrix}23&36\\4&11\end{bmatrix}$, $\begin{bmatrix}27&24\\6&1\end{bmatrix}$
40.96.0-8.b.1.1	40.96.0.276	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&20\\10&11\end{bmatrix}$, $\begin{bmatrix}1&36\\16&5\end{bmatrix}$, $\begin{bmatrix}9&16\\8&13\end{bmatrix}$, $\begin{bmatrix}9&20\\12&29\end{bmatrix}$, $\begin{bmatrix}15&28\\24&35\end{bmatrix}$
40.96.0-8.b.1.2	40.96.0.282	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}7&20\\36&7\end{bmatrix}$, $\begin{bmatrix}9&36\\12&21\end{bmatrix}$, $\begin{bmatrix}15&28\\2&25\end{bmatrix}$, $\begin{bmatrix}17&8\\6&31\end{bmatrix}$, $\begin{bmatrix}39&20\\10&29\end{bmatrix}$
40.96.0-8.b.1.3	40.96.0.279	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\28&25\end{bmatrix}$, $\begin{bmatrix}23&8\\8&27\end{bmatrix}$, $\begin{bmatrix}25&8\\22&39\end{bmatrix}$, $\begin{bmatrix}31&16\\32&39\end{bmatrix}$, $\begin{bmatrix}39&24\\22&21\end{bmatrix}$
40.96.0-8.b.1.4	40.96.0.278	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}7&24\\16&23\end{bmatrix}$, $\begin{bmatrix}17&20\\22&23\end{bmatrix}$, $\begin{bmatrix}23&24\\2&9\end{bmatrix}$, $\begin{bmatrix}31&20\\0&19\end{bmatrix}$, $\begin{bmatrix}33&8\\12&33\end{bmatrix}$
40.96.0-8.b.1.5	40.96.0.285	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}15&28\\28&11\end{bmatrix}$, $\begin{bmatrix}31&0\\24&19\end{bmatrix}$, $\begin{bmatrix}33&8\\26&7\end{bmatrix}$, $\begin{bmatrix}33&24\\4&9\end{bmatrix}$, $\begin{bmatrix}39&20\\4&7\end{bmatrix}$
40.96.0-8.b.1.6	40.96.0.283	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}17&28\\2&31\end{bmatrix}$, $\begin{bmatrix}25&32\\14&31\end{bmatrix}$, $\begin{bmatrix}31&32\\14&5\end{bmatrix}$, $\begin{bmatrix}33&8\\18&35\end{bmatrix}$, $\begin{bmatrix}33&12\\24&25\end{bmatrix}$
40.96.0-8.b.1.7	40.96.0.286	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&28\\30&31\end{bmatrix}$, $\begin{bmatrix}9&36\\18&3\end{bmatrix}$, $\begin{bmatrix}17&16\\26&11\end{bmatrix}$, $\begin{bmatrix}23&36\\12&31\end{bmatrix}$, $\begin{bmatrix}33&32\\14&27\end{bmatrix}$
40.96.0-8.b.1.8	40.96.0.277	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}9&0\\2&19\end{bmatrix}$, $\begin{bmatrix}15&32\\36&11\end{bmatrix}$, $\begin{bmatrix}17&36\\28&5\end{bmatrix}$, $\begin{bmatrix}23&24\\34&5\end{bmatrix}$, $\begin{bmatrix}23&28\\20&39\end{bmatrix}$
40.96.0-8.b.1.9	40.96.0.284	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\14&31\end{bmatrix}$, $\begin{bmatrix}1&28\\14&19\end{bmatrix}$, $\begin{bmatrix}9&32\\4&5\end{bmatrix}$, $\begin{bmatrix}25&16\\38&3\end{bmatrix}$, $\begin{bmatrix}39&4\\4&3\end{bmatrix}$
40.96.0-8.b.1.10	40.96.0.281	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}7&4\\16&39\end{bmatrix}$, $\begin{bmatrix}9&20\\0&21\end{bmatrix}$, $\begin{bmatrix}23&4\\2&33\end{bmatrix}$, $\begin{bmatrix}33&36\\0&9\end{bmatrix}$, $\begin{bmatrix}39&12\\6&9\end{bmatrix}$
40.96.0-8.b.1.11	40.96.0.275	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}7&36\\4&31\end{bmatrix}$, $\begin{bmatrix}15&8\\24&35\end{bmatrix}$, $\begin{bmatrix}23&4\\16&39\end{bmatrix}$, $\begin{bmatrix}33&32\\10&19\end{bmatrix}$, $\begin{bmatrix}33&32\\30&39\end{bmatrix}$
40.96.0-8.b.1.12	40.96.0.280	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\24&29\end{bmatrix}$, $\begin{bmatrix}1&32\\4&37\end{bmatrix}$, $\begin{bmatrix}15&36\\16&35\end{bmatrix}$, $\begin{bmatrix}17&24\\2&23\end{bmatrix}$, $\begin{bmatrix}39&8\\0&3\end{bmatrix}$
40.96.0-8.b.2.1	40.96.0.220	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&4\\0&37\end{bmatrix}$, $\begin{bmatrix}21&12\\16&21\end{bmatrix}$, $\begin{bmatrix}29&24\\28&11\end{bmatrix}$, $\begin{bmatrix}31&36\\8&19\end{bmatrix}$, $\begin{bmatrix}37&20\\36&37\end{bmatrix}$
40.96.0-8.b.2.2	40.96.0.216	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}11&28\\20&27\end{bmatrix}$, $\begin{bmatrix}11&32\\0&13\end{bmatrix}$, $\begin{bmatrix}17&0\\16&3\end{bmatrix}$, $\begin{bmatrix}35&16\\28&13\end{bmatrix}$, $\begin{bmatrix}37&0\\8&3\end{bmatrix}$
40.96.0-8.b.2.3	40.96.0.224	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}5&8\\28&19\end{bmatrix}$, $\begin{bmatrix}15&8\\16&31\end{bmatrix}$, $\begin{bmatrix}19&32\\20&23\end{bmatrix}$, $\begin{bmatrix}31&12\\20&1\end{bmatrix}$, $\begin{bmatrix}39&20\\16&9\end{bmatrix}$
40.96.0-8.b.2.4	40.96.0.225	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}5&28\\24&29\end{bmatrix}$, $\begin{bmatrix}15&4\\12&11\end{bmatrix}$, $\begin{bmatrix}15&12\\24&17\end{bmatrix}$, $\begin{bmatrix}23&24\\20&21\end{bmatrix}$, $\begin{bmatrix}27&32\\36&13\end{bmatrix}$
40.96.0-8.b.2.5	40.96.0.226	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&0\\28&19\end{bmatrix}$, $\begin{bmatrix}5&36\\36&21\end{bmatrix}$, $\begin{bmatrix}7&16\\12&5\end{bmatrix}$, $\begin{bmatrix}17&0\\4&9\end{bmatrix}$, $\begin{bmatrix}39&12\\32&19\end{bmatrix}$
40.96.0-8.b.2.6	40.96.0.221	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}1&32\\12&27\end{bmatrix}$, $\begin{bmatrix}23&8\\36&23\end{bmatrix}$, $\begin{bmatrix}27&32\\8&29\end{bmatrix}$, $\begin{bmatrix}35&4\\16&19\end{bmatrix}$, $\begin{bmatrix}37&24\\12&25\end{bmatrix}$
40.96.0-8.b.2.7	40.96.0.217	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}3&20\\24&17\end{bmatrix}$, $\begin{bmatrix}7&32\\28&15\end{bmatrix}$, $\begin{bmatrix}17&20\\32&39\end{bmatrix}$, $\begin{bmatrix}25&12\\4&29\end{bmatrix}$, $\begin{bmatrix}39&12\\20&19\end{bmatrix}$
40.96.0-8.b.2.8	40.96.0.218	8N0	$40$	$96$	$0$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$13$		$\begin{bmatrix}15&12\\8&33\end{bmatrix}$, $\begin{bmatrix}27&4\\20&27\end{bmatrix}$, $\begin{bmatrix}31&36\\12&25\end{bmatrix}$, $\begin{bmatrix}33&36\\16&31\end{bmatrix}$, $\begin{bmatrix}37&36\\20&31\end{bmatrix}$

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Siegel

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Modular curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Galois groups
Sato-Tate groups
Abstract groups
Lattices

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L-functions

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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.