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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 $X_0(33)/W_3$
450.a.2700.1 Isogenous to modular curve $X_0(30)/W_2$
450.a.36450.1 Modular curve $X_0(30)/W_{10}$
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 $X_0(35)/W_7$
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 $X_0(67)/w$
5329.b.5329.1 Modular curve $X_0(73)/w$
8281.a.8281.1 Quotient of X_0(91)
10609.a.10609.1 Modular curve $X_0(103)/w$
15625.a.15625.1 Quotient of 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 $X_0(167)/w$
36481.a.36481.1 Modular curve $X_0(191)/w$
440509.a.440509.1 Smallest known example of a genus 2 curve with analytic rank 4