Question
The conductor of these objects is an integer defined using primes when they do not have a good reduction. These objects are isomorphic over C if and only if they have the same j-invariant. The order of the zero of these objects’ Hasse-Weil L-functions at 1 is equal to their rank, according to the Birch-Swinnerton-Dyer conjecture. A line drawn between two points on one of these objects must have a third intersection point, assuming a point at (*) infinity is added. The SIKE system is based on isogenies of supersingular types of these objects, which are also used by Lenstra’s factorization algorithm. A correspondence between modular forms and these objects is given by the Taniyama-Shimura conjecture. These objects can be represented by real solutions to y squared equals x cubed plus a x plus b. For 10 points, name these objects used by Andrew Wiles in his proof of Fermat’s last theorem. ■END■
Buzzes
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Jananan Arulseelan | The Only Existing Manuscript from A Clockwork Orange | Moderator Can't Neg me While in Alpha | 38 | 15 |
| Asha Basu | I'd prefer to have the team name be Christensen et al. than anything that Erik cooks up | Ryan Wesley Routh's 10 000 NATO-trained Afghan Quizbowlers | 50 | 15 |
| Kunaal Chandrashekar | as rational as the square root of two power bottoms | You cannot go to Aarhus to see his peat-brown head / With eyes like ripening fruit | 58 | 15 |
| Benjamin Chapman | Simpson Agonistes: The Crisis of Donut | Communism is Soviet power plus the yassification of the whole country | 100 | 10 |
| Rayton Lin | Tensei Shitara Flashcard Data Ken | She Dicer On My Argonaute Till I RNA Interfere | 104 | 10 |