Label |
Equation |
476.a.952.1 |
y2+(x3+1)y=−5x4+7x3+25x2−75x+54 |
Analytic rank: | 0 |
Mordell-Weil rank: | 0 |
|
Bad L-factors: |
Prime |
L-Factor |
2 | (1−T)(1+T) |
7 | (1−T)(1+4T+7T2) |
17 | (1+T)(1−6T+17T2) |
|
|
Good L-factors: |
Prime |
L-Factor |
3 | (1+2T+3T2)2 |
5 | (1+5T2)2 |
11 | (1−6T+11T2)(1+11T2) |
13 | (1−2T+13T2)(1+4T+13T2) |
19 | (1−2T+19T2)(1+4T+19T2) |
23 | (1+23T2)2 |
29 | (1+29T2)(1+6T+29T2) |
⋯ | ⋯ |
|
|
See L-function page for more information |
ST= SU(2)×SU(2), ST0=SU(2)×SU(2)
Splits over Q
Decomposes up to isogeny as the product of the non-isogenous elliptic curve isogeny classes:
Elliptic curve isogeny class 14.a
Elliptic curve isogeny class 34.a
Of GL2-type over Q
Endomorphism algebra over Q:
End(J)⊗Q | ≃ | Q × Q |
End(J)⊗R | ≃ | R×R |
All Q-endomorphisms of the Jacobian are defined over Q.
More complete information on endomorphism algebras and rings can be found on the pages of the individual curves in the isogeny class.