Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 5408.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5408.k1 | 5408i1 | \([0, -1, 0, -225, -1327]\) | \(-10816\) | \(-116985856\) | \([]\) | \(1344\) | \(0.29061\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5408.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5408.k do not have complex multiplication.Modular form 5408.2.a.k
sage: E.q_eigenform(10)