Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 338100.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.k1 | 338100k1 | \([0, -1, 0, -404168333, 3128572584537]\) | \(-258481914880000/93710763\) | \(-2647097111240498700000000\) | \([]\) | \(106444800\) | \(3.6549\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100.k do not have complex multiplication.Modular form 338100.2.a.k
sage: E.q_eigenform(10)