Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 428400k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
428400.k1 | 428400k1 | \([0, 0, 0, 79125, 3360625]\) | \(12024231680/8029287\) | \(-36583438893750000\) | \([]\) | \(3317760\) | \(1.8669\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 428400k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 428400k do not have complex multiplication.Modular form 428400.2.a.k
sage: E.q_eigenform(10)