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Label Description
169.a.169.1 Modular curve $X_1(13)$
196.a.21952.1 Modular curve $X_0(28)$
249.a.249.1 First paramodular Jacobian
256.a.512.1 Modular curve $X_1(16)$
277.a.277.1 First proven example of the paramodular conjecture
324.a.648.1 Modular curve $X_1(18)$
336.a.172032.1 First non-square analytic order of Sha
363.a.11979.1 Isogenous to modular curve $X_0(33)/\langle w_3 \rangle$
450.a.2700.1 Isogenous to modular curve $X_0(30)/ \langle w_2 \rangle$
450.a.36450.1 Modular curve $X_0(30)/\langle w_{10} \rangle$
529.a.529.1 Isogenous to modular curve $X_0(23)$
587.a.587.1 Conjecturally first genus 2 curve of positive rank
676.a.562432.1 Modular curve $X_0(26)$
841.a.841.1 Isogenous to modular curve $X_0(29)$
961.a.923521.1 Modular curve $X_0(31)$
976.a.999424.1 Jacobian with 29-torsion point (largest known prime order)
1116.a.214272.1 39-torsion point
1225.a.6125.1 Isogenous to modular curve $X_0(35)/\langle w_7 \rangle$
1369.a.50653.1 Modular curve $X_0(37)$
2500.a.50000.1 Modular curve $X_0(50)$
2916.b.11664.1 Smallest known example of a genus 2 curve with $\mathrm{ST}^0(\mathrm{Jac}(X))=\mathrm U(1)$ (and with $\Aut(X_{\overline \Q})=D_3:C_4$).
3319.a.3319.1 Smallest known example of a genus 2 curve with analytic rank 2
4489.a.4489.1 Modular curve $X_0(67)/\langle w_{67} \rangle = X_0^+(67)$
5329.b.5329.1 Modular curve $X_0(73)/ \langle w_{73} \rangle = X_0^+(73)$
8281.a.8281.1 Modular curve $X_0(91) / \langle w_{91} \rangle = X_0^+(91)$
10609.a.10609.1 Modular curve $X_0(103)/ \langle w_{103} \rangle = X_0^+(103)$
15625.a.15625.1 Modular curve $X_0(125) / \langle w_{125}\rangle = X_0^+(125)$
20736.l.373248.1 First QM curve
25913.a.25913.1 Smallest known example of a genus 2 curve with analytic rank 3
27889.a.27889.1 Modular curve $X_0(167)/ \langle w_{167} \rangle = X_0^+(167)$
36481.a.36481.1 Modular curve $X_0(191)/ \langle w_{191} \rangle = X_0^+(191)$
440509.a.440509.1 Smallest known example of a genus 2 curve with analytic rank 4