Geodesic
On an elliptic curve defined over $\mathbb Q(\sqrt{-23})$
Algebra i analiz, Tome 24 (2012) no. 4, pp. 64-83.

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Recently, the first three examples were found of elliptic curves without complex multiplication and defined over an imaginary quadratic field that have been proved to satisfy the Hasse–Weil conjecture. In the paper, the same algorithm is employed to prove the modularity and thereby the Hasse–Weil conjecture for the fourth elliptic curve without CM defined over the imaginary quadratic field $\mathbb Q(\sqrt{-23})$.
Keywords: Hasse–Weil conjecture, elliptic curve. 
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L. Dieulefait; M. Mink; B. Z. Moroz. On an elliptic curve defined over $\mathbb Q(\sqrt{-23})$. Algebra i analiz, Tome 24 (2012) no. 4, pp. 64-83. http://geodesic.mathdoc.fr/item/AA_2012_24_4_a2/

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