Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 5184.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5184.k1 | 5184f1 | \([0, 0, 0, -108, -3024]\) | \(-36\) | \(-3869835264\) | \([]\) | \(2304\) | \(0.52022\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5184.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5184.k do not have complex multiplication.Modular form 5184.2.a.k
sage: E.q_eigenform(10)