Elliptic Curves over \(\Q(\sqrt{29}) \) of Conductor 13.1

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Base field	Conductor norm	Isogenous curves	Base change curves	\(\Q\)-curves	CM curves
Torsion order	Isogeny degree	Torsion structure	j-invariant

Results (displaying both matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
13.1-a1	\(\Q(\sqrt{29}) \)	13	13.1	13.1-a	\( \bigl[a\) , \( -1\) , \( 1\) , \( -4 a - 7\) , \( 4 a + 9\bigr] \)
13.1-a2	\(\Q(\sqrt{29}) \)	13	13.1	13.1-a	\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -75 a - 165\) , \( -492 a - 1079\bigr] \)